<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:blogger='http://schemas.google.com/blogger/2008' xmlns:georss='http://www.georss.org/georss' xmlns:gd="http://schemas.google.com/g/2005" xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-5111326008742027908</id><updated>2024-10-18T00:17:59.030-07:00</updated><title type='text'>enjoy the e-learning for tech knowledge seekers</title><subtitle type='html'>here you will not only know your field knowledge but also keep on updating your current-technical knowledge </subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://mudgalbrajnesh.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default?redirect=false'/><link rel='alternate' type='text/html' href='http://mudgalbrajnesh.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><author><name>Brajnesh Mudgal (lucky)</name><uri>http://www.blogger.com/profile/17678111974692335467</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiW7TfkTLE9uAkQPSmfPD2nhEeLJZFjie81guyt24ELed5IzlYfgJOOU7VrzhAYKq22IrPy1yZyChp2dtEBuFmaSlzoTRAjAhwgkrXf7sx8aTHMYXxomLKDFzJh3UKe5g/s220/DSC_0529.jpg'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>9</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-5111326008742027908.post-6182603349569028859</id><published>2012-08-30T23:56:00.007-07:00</published><updated>2012-08-31T00:35:27.263-07:00</updated><title type='text'>Samsung Unveils Windows Devices</title><content type='html'>&lt;br /&gt;&lt;br /&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGNDo8L1mbcTOo_vRBBsFT9AXCe3XfMUQTAdpPvbeEIdqCn0UGJp_DHuFHHvVFI5XtazgDeSqyElVfC8K_xbg9eiCd7F1iB5FAsqSbmyRQYVQw_UPRWKwPL2KyLjoQUpqsev-IsCNFA2U/s1600/samsung-ativ-s-leak.jpg&quot; style=&quot;font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-family: Georgia, serif; &quot;&gt;&lt;img style=&quot;float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 220px;&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGNDo8L1mbcTOo_vRBBsFT9AXCe3XfMUQTAdpPvbeEIdqCn0UGJp_DHuFHHvVFI5XtazgDeSqyElVfC8K_xbg9eiCd7F1iB5FAsqSbmyRQYVQw_UPRWKwPL2KyLjoQUpqsev-IsCNFA2U/s320/samsung-ativ-s-leak.jpg&quot; border=&quot;0&quot; alt=&quot;&quot; id=&quot;BLOGGER_PHOTO_ID_5782731098167035346&quot; /&gt;&lt;/a&gt;&lt;br /&gt;&lt;span style=&quot;font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-family: Arial; font-size: 30px; letter-spacing: -1px; text-align: -webkit-auto; background-color: rgb(255, 255, 255); &quot;&gt;&lt;span&gt;Samsung ATIV S: World&#39;s&lt;br /&gt;first Windows 8-powered smartphone&lt;/span&gt;&lt;/span&gt;&lt;div style=&quot;font-style: normal; font-variant: normal; font-weight: normal; &quot;&gt;&lt;p style=&quot;font-family: Georgia, serif; margin-top: 0px; margin-right: 0px; margin-bottom: 22px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; line-height: 1.5em; background-color: rgb(255, 255, 255); &quot;&gt;Nokia may be Microsoft’s partner on Windows phone hardware, but Samsung got the jump on its competitors by announcing the first handset to run Windows 8.&lt;/p&gt;&lt;p style=&quot;font-family: Georgia, serif; margin-top: 0px; margin-right: 0px; margin-bottom: 22px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; line-height: 1.5em; background-color: rgb(255, 255, 255); &quot;&gt;The ATIV S, Samsung announced Thursday, sports a 4.8-inch scree&lt;span style=&quot;line-height: 1.5em; &quot;&gt;n, a 1.5&lt;/span&gt;&lt;span style=&quot;line-height: 1.5em; font-size: 100%; &quot;&gt;GHz dual-core processor and is just one-third of an inc&lt;/span&gt;&lt;span style=&quot;line-height: 1.5em; font-size: 100%; &quot;&gt;h thick.&lt;/span&gt;&lt;/p&gt;&lt;p style=&quot;font-family: Georgia, serif; margin-top: 0px; margin-right: 0px; margin-bottom: 22px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; line-height: 1.5em; background-color: rgb(255, 255, 255); &quot;&gt;&lt;span style=&quot;line-height: 22px; &quot;&gt;The phone also has NFC and Bluetooth support, 1GB of onboard RAM, an 8 MP rear-facing and 1.9 MP front-facing camera, as well as the the option for 16 GB or 32 GB of internal storage. The phone also has a slot for an SD card.&lt;/span&gt; &lt;/p&gt;&lt;p style=&quot;font-family: Georgia, serif; margin-top: 0px; margin-right: 0px; margin-bottom: 22px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; line-height: 1.5em; background-color: rgb(255, 255, 255); &quot;&gt;&lt;/p&gt;&lt;p style=&quot;font-family: Georgia, serif; margin-top: 0px; margin-right: 0px; margin-bottom: 22px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; line-height: 1.5em; &quot;&gt;Samsung has made a big deal, too, out of the phone’s battery — a key component if it’s going to be able to power that screen for the whole day.&lt;/p&gt;&lt;/div&gt;&lt;div style=&quot;font-style: normal; font-variant: normal; font-weight: normal; &quot;&gt;&lt;span style=&quot;line-height: normal; &quot;&gt;&lt;img src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDg_6xuD8A4kfFeipqTnMYKfuU888-WBramzisUPYgmflg_xkpkltOSxAD61nzXa_ZpvEPikWxvwNyNicmrM-E3wgVEPwUdSk0S4wjKBVVXSABr2y9Lh_AT5p9xREGQShwbeT2E-FyId8/s320/images.jpg&quot; border=&quot;0&quot; alt=&quot;&quot; id=&quot;BLOGGER_PHOTO_ID_5782732284624482562&quot; style=&quot;color: rgb(0, 0, 238); text-decoration: underline; float: left; margin-top: 0px; margin-right: 10px; margin-bottom: 10px; margin-left: 0px; cursor: pointer; width: 300px; height: 168px; &quot; /&gt;&lt;/span&gt;&lt;p style=&quot;font-family: Georgia, serif; margin-top: 0px; margin-right: 0px; margin-bottom: 22px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; line-height: 1.5em; &quot;&gt;In a post &lt;a xslt=&quot;_http&quot; href=&quot;http://windowsteamblog.com/windows_phone/b/windowsphone/archive/2012/08/29/this-is-the-samsung-ativ-s-the-first-of-many-amazing-windows-phone-8-devices-coming-this-year.aspx&quot; style=&quot;color: rgb(0, 0, 0); &quot;&gt;announ&lt;/a&gt;&lt;a xslt=&quot;_http&quot; href=&quot;http://windowsteamblog.com/windows_phone/b/windowsphone/archive/2012/08/29/this-is-the-samsung-ativ-s-the-first-of-many-amazing-windows-phone-8-devices-coming-this-year.aspx&quot; style=&quot;line-height: 1.5em; font-size: 100%; color: rgb(0, 0, 0); &quot;&gt;cing the phone&lt;/a&gt;&lt;span style=&quot;line-height: 1.5em; font-size: 100%; &quot;&gt; over at Microsoft, Windows Phone marketing director Ben Rudolph also said that the phone’s design, which has a rounded bezel that tapers toward the back, make the phone very comfortable to hold.&lt;/span&gt;&lt;/p&gt;&lt;p style=&quot;margin-top: 0px; margin-right: 0px; margin-bottom: 22px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; line-height: 1.5em; &quot;&gt;&lt;span&gt;The ATIV S also has an actual Windows button &lt;/span&gt;&lt;span&gt;instead of a capactitive one, a design choice that bucks the mold a bit in the consumer tech world’s seeming war against physical buttons.&lt;/span&gt;&lt;/p&gt;&lt;p style=&quot;text-align: left;margin-top: 0px; margin-right: 0px; margin-bottom: 22px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; &quot;&gt;&lt;span&gt;&lt;span style=&quot;line-height: 21px;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;/div&gt;&lt;div&gt;&lt;div style=&quot;font-style: normal; font-variant: normal; font-weight: normal; &quot;&gt;&lt;img src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgASm_McDvONpPzqhHHzpk9s6hDTCXHxrWYR4rOvq11nbHqvwzmAEfk3hisaL5banS5U0p_htb9MgRoDGy82r1Pa-Z7wCCdxV3mXCvMCEmMyw9qlgQoYNCrsc0_vhOJXFg4HwHOqep2ZjQ/s320/3465.IMG_5533_29190921.jpg&quot; border=&quot;0&quot; alt=&quot;&quot; id=&quot;BLOGGER_PHOTO_ID_5782736530580300210&quot; style=&quot;color: rgb(0, 0, 238); text-decoration: underline; float: left; margin-top: 0px; margin-right: 10px; margin-bottom: 10px; margin-left: 0px; cursor: pointer; width: 320px; height: 214px; &quot; /&gt;&lt;img src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkIcZfj21cvs4lYFXj4dwmUIQ3maYijOlLircNjC0-Lt1LgfdtPaCNqan2UoWRxEexR6JgDHp1Jl65oTLtF1FxzN8sZt74UE0EuUlSIpW0HsHMb8EOoO8oEt2SAM9AUe1PRrFBIj638_k/s320/5100.IMG_5522_06A47A66.jpg&quot; border=&quot;0&quot; alt=&quot;&quot; id=&quot;BLOGGER_PHOTO_ID_5782736784886565170&quot; style=&quot;font-family: Arial; font-size: 30px; letter-spacing: -1px; text-align: -webkit-auto; background-color: rgb(255, 255, 255); float: left; margin-top: 0px; margin-right: 10px; margin-bottom: 10px; margin-left: 0px; cursor: pointer; width: 320px; height: 214px; &quot; /&gt;&lt;/div&gt;&lt;div style=&quot;text-align: -webkit-auto;&quot;&gt;&lt;span&gt;&lt;span style=&quot;font-size: 30px; letter-spacing: -1px;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;/div&gt;&lt;div style=&quot;font-style: normal; font-variant: normal; font-weight: normal; &quot;&gt;&lt;span style=&quot;font-family: georgia; background-color: rgb(255, 255, 255); color: rgb(51, 51, 51); line-height: 21px; &quot;&gt; &lt;/span&gt;&lt;span style=&quot;background-color: rgb(255, 255, 255); color: rgb(51, 51, 51); font-family: georgia; line-height: 21px; &quot;&gt;The ATIV S is flat-out beautiful, and it &lt;/span&gt;&lt;span style=&quot;background-color: rgb(255, 255, 255); color: rgb(51, 51, 51); font-family: georgia; line-height: 21px; &quot;&gt;has the guts to match. But what’s impressed me most about the ATIV S is Samsung’s attention to detail. To get to your Start screen, you hit a raised physical Windows button, not a capacitive one. The speaker bar on the front and the back, as well as all of the buttons, are aluminum, not plastic. And the display glass has just the slightest of rounded edges. It all adds up to a device that looks great, feels great, and performs great.&lt;/span&gt;&lt;/div&gt;&lt;p style=&quot;font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; font-family: Georgia, serif; &quot;&gt;&lt;/p&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://mudgalbrajnesh.blogspot.com/feeds/6182603349569028859/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/08/samsung-unveils-windows-devices.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/6182603349569028859'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/6182603349569028859'/><link rel='alternate' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/08/samsung-unveils-windows-devices.html' title='Samsung Unveils Windows Devices'/><author><name>Brajnesh Mudgal (lucky)</name><uri>http://www.blogger.com/profile/17678111974692335467</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiW7TfkTLE9uAkQPSmfPD2nhEeLJZFjie81guyt24ELed5IzlYfgJOOU7VrzhAYKq22IrPy1yZyChp2dtEBuFmaSlzoTRAjAhwgkrXf7sx8aTHMYXxomLKDFzJh3UKe5g/s220/DSC_0529.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGNDo8L1mbcTOo_vRBBsFT9AXCe3XfMUQTAdpPvbeEIdqCn0UGJp_DHuFHHvVFI5XtazgDeSqyElVfC8K_xbg9eiCd7F1iB5FAsqSbmyRQYVQw_UPRWKwPL2KyLjoQUpqsev-IsCNFA2U/s72-c/samsung-ativ-s-leak.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-5111326008742027908.post-3294029702033474172</id><published>2012-08-29T20:56:00.002-07:00</published><updated>2012-08-29T21:08:00.813-07:00</updated><title type='text'>The wait is over: Samsung unveils Galaxy Note II with Jelly Bean</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left; &quot; trbidi=&quot;on&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisa2HjLjwvty-aQivnI_Z2lYt-_zMVAHqyScCHFon8uf1Mm_c6PE35HhtSBrfX2a_J4Whg5C9efKv3Z44bhCdjYU6ANYVl6pNZ9Jlq0t2quY2p9JTaWQPJvjvSE6Dv7Xlf5Uvzcw9DzXI/s1600/xl_GALAXY_Note_II_1.jpg&quot; imageanchor=&quot;1&quot; style=&quot;font-weight: normal; font-family: Georgia, serif; font-size: 100%; clear: right; float: right; margin-bottom: 1em; margin-left: 1em; &quot;&gt;&lt;img border=&quot;0&quot; height=&quot;179&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisa2HjLjwvty-aQivnI_Z2lYt-_zMVAHqyScCHFon8uf1Mm_c6PE35HhtSBrfX2a_J4Whg5C9efKv3Z44bhCdjYU6ANYVl6pNZ9Jlq0t2quY2p9JTaWQPJvjvSE6Dv7Xlf5Uvzcw9DzXI/s320/xl_GALAXY_Note_II_1.jpg&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;br /&gt;&lt;div style=&quot;border-bottom-width: 0px; border-color: initial; border-image: initial; border-left-width: 0px; border-right-width: 0px; border-style: initial; border-top-width: 0px; color: rgb(38, 38, 38); font: inherit; line-height: 22px; margin-bottom: 15px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 7px; text-align: -webkit-auto; vertical-align: baseline; &quot;&gt;“I am pretty confident it will even outsell its predecessor,” said JK Shin, Samsung’s chief of mobile business.&lt;/div&gt;&lt;div style=&quot;border-bottom-width: 0px; border-color: initial; border-image: initial; border-left-width: 0px; border-right-width: 0px; border-style: initial; border-top-width: 0px; color: rgb(38, 38, 38); font: inherit; line-height: 22px; margin-bottom: 15px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 7px; text-align: -webkit-auto; vertical-align: baseline; &quot;&gt;Samsung has sold some 10 million of its original Galaxy Note devices, creating a new product category which has smaller screen than tablets, but bigger than smartphones.&lt;/div&gt;&lt;div style=&quot;border-bottom-width: 0px; border-color: initial; border-image: initial; border-left-width: 0px; border-right-width: 0px; border-style: initial; border-top-width: 0px; color: rgb(38, 38, 38); font: inherit; line-height: 22px; margin-bottom: 15px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 7px; text-align: -webkit-auto; vertical-align: baseline; &quot;&gt;Samsung hopes the new device will take the focus away from its loss of the court case. Apple is now seeking speedy bans on the sale of eight Samsung phones, moving swiftly to turn legal victory into tangible business gain.&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;font-weight: normal; font-family: Georgia, serif; font-size: 100%; clear: both; text-align: center; &quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgKDDn5_t6Xmc715hJJiiCukMEv1VYt7aQ82zYkT_wexqnOAZx-Qr4ib38IOhRpa9boVAjj9vwx1RpiJ5WTz61E-slEThujhTH2apbwdrjvgT3tONElpH5BxPGspGi5avfIDJnPg1LjsgA/s1600/xl_Samsung_Galaxy_Note_2_2.jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;179&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgKDDn5_t6Xmc715hJJiiCukMEv1VYt7aQ82zYkT_wexqnOAZx-Qr4ib38IOhRpa9boVAjj9vwx1RpiJ5WTz61E-slEThujhTH2apbwdrjvgT3tONElpH5BxPGspGi5avfIDJnPg1LjsgA/s320/xl_Samsung_Galaxy_Note_2_2.jpg&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div style=&quot;border-bottom-width: 0px; border-color: initial; border-image: initial; border-left-width: 0px; border-right-width: 0px; border-style: initial; border-top-width: 0px; color: rgb(38, 38, 38); font: inherit; line-height: 22px; margin-bottom: 15px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 7px; text-align: -webkit-auto; vertical-align: baseline; &quot;&gt;&lt;span style=&quot;font-size: 15px;&quot;&gt;The Galaxy Note phablet, one of the most popular Samsung devices after its flagship Galaxy S, is not included in the list of the potential US sales ban, and Samsung hopes the phablet upgrade will lift any post-Apple gloom at the South Korean group.&lt;/span&gt; &lt;/div&gt;&lt;div style=&quot;border-bottom-width: 0px; border-color: initial; border-image: initial; border-left-width: 0px; border-right-width: 0px; border-style: initial; border-top-width: 0px; color: rgb(38, 38, 38); font: inherit; line-height: 22px; margin-bottom: 15px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 7px; text-align: -webkit-auto; vertical-align: baseline; &quot;&gt;&lt;span style=&quot;font-size: 15px;&quot;&gt;“There won’t be huge innovative changes in design, but the Note II will feature quite a few improvements and enable Samsung to carry on its strong sales momentum in &lt;/span&gt;the category,” said Lee Sun-tae, an analyst at NH Investment &amp;amp; Securities. “With the launch, Samsung will also be trying to turn around downbeat sentiment after the US legal defeat.” &lt;/div&gt;&lt;div style=&quot;border-bottom-width: 0px; border-color: initial; border-image: initial; border-left-width: 0px; border-right-width: 0px; border-style: initial; border-top-width: 0px; color: rgb(38, 38, 38); font: inherit; line-height: 22px; margin-bottom: 15px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 7px; text-align: -webkit-auto; vertical-align: baseline; &quot;&gt;&lt;/div&gt;&lt;div style=&quot;background-color: white; clear: none; color: rgb(68, 68, 68); line-height: 16px; margin-bottom: 16px; margin-right: 150px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; text-align: left; &quot;&gt;&lt;span  &gt;Specs wise, it has a 1.6 GHz quad core processor, 2GB Ram,   3,100m Ahbattery , an 8 megapixel rear-facing and a 1.9 MP  front-facing cameras with HD video recording.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;font-weight: normal; clear: both; text-align: center; &quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgR5ZHCAf4zZosvb1y50HBjQacyqx-p-M_-IuVAH_b-z476qRAM0boCQYyE8wvjd2uYSx6OmS7OsW13bm_EodHXEaqFdAqwaVUrdACFDJ-1tC5Xc2bXGkmESfxTopTXSIgQ8IUX9cJVQ4Y/s1600/xl_Samsung_Galaxy_Note_2_3.jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;span &gt;&lt;img border=&quot;0&quot; height=&quot;179&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgR5ZHCAf4zZosvb1y50HBjQacyqx-p-M_-IuVAH_b-z476qRAM0boCQYyE8wvjd2uYSx6OmS7OsW13bm_EodHXEaqFdAqwaVUrdACFDJ-1tC5Xc2bXGkmESfxTopTXSIgQ8IUX9cJVQ4Y/s320/xl_Samsung_Galaxy_Note_2_3.jpg&quot; width=&quot;320&quot; /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;div style=&quot;font-weight: normal; background-color: white; clear: none; color: rgb(68, 68, 68); line-height: 16px; margin-bottom: 16px; margin-right: 150px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; text-align: left; &quot;&gt;&lt;span  &gt;It comes in HSPA Plus or 4G LTE connectivity versions, and 16 GB, 32 GB, and 64 GB tiers with expandable micro SD memory slot&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;font-weight: normal; background-color: white; clear: none; color: rgb(68, 68, 68); line-height: 16px; margin-bottom: 16px; margin-right: 150px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; text-align: left; &quot;&gt;&lt;span  &gt;A few interesting software features were shown off, such as Best Faces which allows users to choose the most preferred face or pose of each person from group portrait photos, and Smart Stay, which uses the camera to prevent the device from going into standby mode when it detects a user in front of the device.&lt;/span&gt;&lt;/div&gt;&lt;p style=&quot;padding-top: 7px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; margin-top: 0px; margin-right: 0px; margin-bottom: 15px; margin-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; border-image: initial; font: inherit; vertical-align: baseline; font-family: Georgia, Times, &#39;Times New Roman&#39;, serif; line-height: 22px; color: rgb(38, 38, 38); text-align: -webkit-auto; &quot;&gt;&lt;span &gt;The new version of the Note will feature a thinner and slightly bigger 5.5-inch screen, powerful quad-core processor, the latest version of the Android operating system called Jellybean, and improved stylus function.&lt;/span&gt;&lt;/p&gt;&lt;p style=&quot;padding-top: 7px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; margin-top: 0px; margin-right: 0px; margin-bottom: 15px; margin-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; border-image: initial; font: inherit; vertical-align: baseline; font-family: Georgia, Times, &#39;Times New Roman&#39;, serif; line-height: 22px; color: rgb(38, 38, 38); text-align: -webkit-auto; &quot;&gt;&lt;span &gt;“The Galaxy Note II is a strong successor to its surprise hit predecessor. Its clear differentiation is a big advantage in a congested fourth quarter market,” said CCS Insight analyst Geoff Blaber.&lt;/span&gt;&lt;/p&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://mudgalbrajnesh.blogspot.com/feeds/3294029702033474172/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/08/the-wait-is-over-samsung-unveils-galaxy.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/3294029702033474172'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/3294029702033474172'/><link rel='alternate' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/08/the-wait-is-over-samsung-unveils-galaxy.html' title='The wait is over: Samsung unveils Galaxy Note II with Jelly Bean'/><author><name>Brajnesh Mudgal (lucky)</name><uri>http://www.blogger.com/profile/17678111974692335467</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiW7TfkTLE9uAkQPSmfPD2nhEeLJZFjie81guyt24ELed5IzlYfgJOOU7VrzhAYKq22IrPy1yZyChp2dtEBuFmaSlzoTRAjAhwgkrXf7sx8aTHMYXxomLKDFzJh3UKe5g/s220/DSC_0529.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisa2HjLjwvty-aQivnI_Z2lYt-_zMVAHqyScCHFon8uf1Mm_c6PE35HhtSBrfX2a_J4Whg5C9efKv3Z44bhCdjYU6ANYVl6pNZ9Jlq0t2quY2p9JTaWQPJvjvSE6Dv7Xlf5Uvzcw9DzXI/s72-c/xl_GALAXY_Note_II_1.jpg" height="72" width="72"/><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-5111326008742027908.post-7262577609893816495</id><published>2012-05-18T01:07:00.000-07:00</published><updated>2012-05-25T18:51:24.025-07:00</updated><title type='text'>DATABASE MANAGEMENT SYSTEM</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
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&lt;h3&gt;


&lt;ul&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnxm4occuBcWmsunp-1PnDFKlo5GtS-UzIxvwNXJCCCy5XFfqMpeRKT4K_NJ3qS9s959cXQy_bh-scP7nC0fygRXrR2lOWbWL8IcwH6rVjyq4DhaQKSa5kiBP5ZPchgjDfn57IHfuPD4c/s1600/images+(1).jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;br class=&quot;Apple-interchange-newline&quot; /&gt;&lt;img border=&quot;0&quot; height=&quot;132&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnxm4occuBcWmsunp-1PnDFKlo5GtS-UzIxvwNXJCCCy5XFfqMpeRKT4K_NJ3qS9s959cXQy_bh-scP7nC0fygRXrR2lOWbWL8IcwH6rVjyq4DhaQKSa5kiBP5ZPchgjDfn57IHfuPD4c/s200/images+(1).jpg&quot; width=&quot;200&quot; /&gt;&lt;/a&gt;&lt;/ul&gt;
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&lt;h2 style=&quot;text-align: left;&quot;&gt;


&lt;span style=&quot;text-indent: -0.25in;&quot;&gt;&lt;span style=&quot;color: #38761d; font-family: Times, &#39;Times New Roman&#39;, serif; font-size: x-large;&quot;&gt;Concept of Normalization&lt;/span&gt;&lt;/span&gt;&lt;/h2&gt;
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&lt;ul&gt;
&lt;li&gt;&lt;span style=&quot;font-size: large; text-indent: -0.25in;&quot;&gt;&amp;nbsp; &amp;nbsp; Purpose of Normalisation&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-size: large; text-indent: -0.25in;&quot;&gt;&amp;nbsp; &amp;nbsp; Redundancy and Data Anomalies&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-size: large; text-indent: -0.25in;&quot;&gt;&amp;nbsp; &amp;nbsp; Functional Dependency&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-size: large; text-indent: -0.25in;&quot;&gt;&amp;nbsp; &amp;nbsp; Transitive Dependency&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span style=&quot;font-size: large; text-indent: -0.25in;&quot;&gt;&amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-size: large; text-indent: -0.25in;&quot;&gt;Stages of Normalisation&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/h3&gt;
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&lt;h3&gt;


&lt;span style=&quot;color: #38761d; font-size: large;&quot;&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;Purpose of&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;Normalisation&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;
&lt;div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #fc0128; font-family: &#39;Monotype Sorts&#39;;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; 1.&amp;nbsp;&lt;/span&gt;To avoid redundancy by storing each ‘fact’ within the database only once.&lt;/div&gt;
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&lt;span style=&quot;color: #fc0128; font-family: &#39;Monotype Sorts&#39;;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #fc0128; font-family: &#39;Monotype Sorts&#39;;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;2.&amp;nbsp;&lt;/span&gt;To put data into a form that conforms to relational principles (e.g., single valued attributes, each &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; relation represents one entity) - no repeating groups.&lt;/div&gt;
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&lt;span style=&quot;color: #fc0128; font-family: &#39;Monotype Sorts&#39;;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #fc0128; font-family: &#39;Monotype Sorts&#39;;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; 3.&lt;/span&gt;To put the data into a form that is more able to accurately accommodate change.&lt;/div&gt;
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&lt;span style=&quot;color: #fc0128; font-family: &#39;Monotype Sorts&#39;;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #fc0128; font-family: &#39;Monotype Sorts&#39;;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; 4.&lt;/span&gt;To avoid certain updating ‘anomalies’.&lt;/div&gt;
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&lt;span style=&quot;color: #fc0128; font-family: &#39;Monotype Sorts&#39;;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;color: #fc0128; font-family: &#39;Monotype Sorts&#39;;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; 5.&lt;/span&gt;To facilitate the enforcement of data constraints.&lt;/div&gt;
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&lt;br /&gt;&lt;/div&gt;
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&lt;h3&gt;


&lt;span style=&quot;font-style: italic;&quot;&gt;&lt;span style=&quot;color: #38761d; font-size: large;&quot;&gt;Redundancy and Data Anomalies&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;
&lt;div&gt;
&lt;blockquote class=&quot;tr_bq&quot;&gt;
Redundant data is where we have stored the same ‘information’ more than once. i.e., the redundant data could be removed without the loss of information.&lt;/blockquote&gt;
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&lt;/div&gt;
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&lt;span style=&quot;font-weight: bold;&quot;&gt;Example&lt;/span&gt;:&lt;span style=&quot;color: #cf0e30;&quot;&gt;&amp;nbsp;&lt;/span&gt;We have the following relation that contains staff and department details:&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
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&lt;span style=&quot;font-weight: bold;&quot;&gt;staffNo &amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp; job&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;dept&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;dname&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; city&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;SL10&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;Salesman&amp;nbsp;&amp;nbsp; 10&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Sales&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;Stratford&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;SA51&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;Manager&amp;nbsp;&amp;nbsp;&amp;nbsp; 20&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Accounts&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Barking&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;DS40&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;Clerk&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 20&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;Accounts&amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;Barking&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;OS45&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;Clerk&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 30&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;Operations&amp;nbsp; &amp;nbsp;&amp;nbsp;Barking&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: blue;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
the redundency in table could lead to following anamolies:&lt;/div&gt;
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&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #cf0e30; font-weight: bold;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;b&gt;Insert Anomaly:&lt;/b&gt;&lt;span style=&quot;color: #cf0e30;&quot;&gt;&amp;nbsp;&lt;/span&gt;We can’t insert a dept without inserting a member of staff that works in that department&lt;/div&gt;
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&lt;/div&gt;
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&lt;span style=&quot;color: #cf0e30; font-weight: bold;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;b&gt;Update Anomaly:&lt;/b&gt;&lt;span style=&quot;color: #cf0e30;&quot;&gt;&amp;nbsp;&lt;/span&gt;We could change the name of the dept that SA51 works in without simultaneously changing the dept that DS40 works in.&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;b&gt;Deletion Anomaly&lt;/b&gt;:&lt;span style=&quot;color: #cf0e30;&quot;&gt;&amp;nbsp;&lt;/span&gt;By removing employee SL10 we have removed all information pertaining to the Sales dept.&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;h3&gt;


&lt;span style=&quot;font-style: italic;&quot;&gt;&lt;span style=&quot;color: #38761d; font-size: large;&quot;&gt;Functional Dependency&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;
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&lt;b&gt;Formal Definition:&amp;nbsp;&lt;/b&gt;&amp;nbsp;Attribute B is functionally dependant upon attribute A&amp;nbsp;&lt;span style=&quot;font-style: italic;&quot;&gt;(or a collection of attributes)&lt;/span&gt;&amp;nbsp;if &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; a value of&amp;nbsp;&lt;span style=&quot;color: #fc0128;&quot;&gt;A&lt;/span&gt;&amp;nbsp;determines a single value of attribute B at any one time.&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-top: 5.28pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;b&gt;Formal Notation:&lt;/b&gt;&lt;span style=&quot;color: #cc0000;&quot;&gt;&amp;nbsp;&lt;/span&gt;&amp;nbsp;&lt;span style=&quot;color: #b45f06;&quot;&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;A&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Symbol; font-weight: bold;&quot;&gt;®&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp;B&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;color: #fc0128;&quot;&gt;&amp;nbsp;&amp;nbsp;&lt;/span&gt;This should be read as&amp;nbsp;&lt;span style=&quot;font-weight: bold;&quot;&gt;‘&lt;span style=&quot;color: #b45f06;&quot;&gt;A determines B&lt;/span&gt;’&lt;/span&gt;&amp;nbsp;or&amp;nbsp;&lt;span style=&quot;font-weight: bold;&quot;&gt;‘B is functionally&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;dependant&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp;on A’&lt;/span&gt;.&amp;nbsp;&lt;span style=&quot;color: #fc0128;&quot;&gt;A&lt;/span&gt;&amp;nbsp;is called the&amp;nbsp;&lt;span style=&quot;font-style: italic;&quot;&gt;determinant&lt;/span&gt;&amp;nbsp;and&amp;nbsp;&lt;span style=&quot;color: #fc0128;&quot;&gt;B&lt;/span&gt;&amp;nbsp;is called the&amp;nbsp;&lt;span style=&quot;font-style: italic;&quot;&gt;object of the determinant&lt;/span&gt;.&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-top: 5.28pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
Example:&amp;nbsp;&lt;span style=&quot;color: #38761d; font-size: large; line-height: 21px;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-top: 5.28pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;staffNo&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp; job&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;dept&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;dname&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/b&gt;&lt;b&gt;&lt;u style=&quot;line-height: 14px;&quot;&gt;Functional Dependencies&amp;nbsp;&lt;/u&gt;&amp;nbsp;&lt;/b&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;SL10&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Salesman&amp;nbsp; 10&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Sales &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;staffNo&amp;nbsp;&lt;span style=&quot;color: #fc0128; font-family: Symbol;&quot;&gt;®&lt;/span&gt;&amp;nbsp;job&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;SA51&amp;nbsp;&amp;nbsp;&amp;nbsp; Manager&amp;nbsp;&amp;nbsp;&amp;nbsp; 20&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Accounts &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;staffNo&amp;nbsp;&lt;span style=&quot;color: #fc0128; font-family: Symbol;&quot;&gt;®&lt;/span&gt;&amp;nbsp;dept&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;DS40&amp;nbsp;&amp;nbsp;&amp;nbsp; Clerk&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 20&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Accounts &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt;&amp;nbsp; staffNo&amp;nbsp;&lt;span style=&quot;color: #fc0128; font-family: Symbol;&quot;&gt;®&lt;/span&gt;&amp;nbsp;dname&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;OS45&amp;nbsp;&amp;nbsp;&amp;nbsp; Clerk&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 30&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Operations &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt;&amp;nbsp;dept&amp;nbsp;&lt;span style=&quot;color: #fc0128; font-family: Symbol;&quot;&gt;®&lt;/span&gt;&amp;nbsp;dname&lt;br /&gt;
&lt;span style=&quot;color: #cf0e30;&quot;&gt;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;br /&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-top: 5.28pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Compound Determinants&lt;/span&gt;: If more than one attribute is necessary to determine another attribute in an entity, then such a determinant is termed a&amp;nbsp;&lt;span style=&quot;color: #b45f06;&quot;&gt;composite determinant&lt;/span&gt;.&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-top: 5.28pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #cc0000; line-height: 14px;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-weight: bold; line-height: 14px; text-indent: 0in;&quot;&gt;Full Functional Dependency&lt;/span&gt;&lt;span style=&quot;line-height: 14px; text-indent: 0in;&quot;&gt;: Only of relevance with composite determinants. This is the situation when it is necessary to use all the attributes of the composite determinant to identify its object uniquely.&lt;/span&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
Example:&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;order#&amp;nbsp;&amp;nbsp; line#&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;qty&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; price&amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt;&lt;b&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;u&gt;Full Functional Dependencies&lt;/u&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;A001&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 001&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 10&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 200 &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt;(Order#, line#)&amp;nbsp;&lt;span style=&quot;color: #fc0128; font-family: Symbol;&quot;&gt;®&lt;/span&gt;&amp;nbsp;qty&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;A002&lt;/span&gt;&lt;span style=&quot;color: #b45f06;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #b45f06;&quot;&gt;001&lt;/span&gt;&lt;span style=&quot;color: #b45f06;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #b45f06;&quot;&gt;20&lt;/span&gt;&lt;span style=&quot;color: #b45f06;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #b45f06;&quot;&gt;400 &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;&amp;nbsp;(Order#, line#)&amp;nbsp;&lt;span style=&quot;color: #fc0128; font-family: Symbol;&quot;&gt;®&lt;/span&gt;&amp;nbsp;price&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;A002&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 002&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 20&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 800&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;A004&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 001&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 15&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 300&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/div&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Partial Functional Dependency&lt;/span&gt;: This is the situation that exists if it is necessary to only use a subset of the attributes of the composite determinant to identify its object uniquely&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &lt;br /&gt;
&lt;br /&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
Example:&lt;/div&gt;
&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;student#&amp;nbsp;&amp;nbsp; unit#&amp;nbsp;&amp;nbsp; room&amp;nbsp;&amp;nbsp;&amp;nbsp; grade &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt;&lt;u&gt;&lt;b&gt;Full Functional Dependencies&lt;/b&gt;&lt;/u&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;9900100&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; A01&amp;nbsp;&amp;nbsp; TH224&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 2 &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;(student#, unit#)&amp;nbsp;&lt;span style=&quot;color: #fc0128; font-family: Symbol;&quot;&gt;®&lt;/span&gt;&amp;nbsp;grade&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;9900010&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; A01&amp;nbsp;&amp;nbsp; TH224&amp;nbsp;&amp;nbsp;&amp;nbsp; 14 &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;9901011&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; A02&amp;nbsp;&amp;nbsp; JS075&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 3 &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;&amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;b&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;u&gt;Partial Functional Dependencies&lt;/u&gt;&amp;nbsp;&amp;nbsp;&lt;/b&gt;&lt;span style=&quot;color: #b45f06;&quot;&gt;&lt;b&gt;&amp;nbsp;&lt;/b&gt;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;9900001&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; A01&amp;nbsp;&amp;nbsp; TH224&amp;nbsp;&amp;nbsp;&amp;nbsp; 16 &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;unit#&amp;nbsp;&lt;span style=&quot;color: #fc0128; font-family: Symbol;&quot;&gt;®&lt;/span&gt;&amp;nbsp;room&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp; Repetition of data!&lt;/span&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #cf0e30; font-weight: bold;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;b&gt;Transitive Dependency:&lt;/b&gt;&lt;span style=&quot;line-height: 14px; text-indent: 0in;&quot;&gt;A transitive dependency exists when there is an intermediate functional dependency.&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-top: 5.28pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Formal Notation&lt;/span&gt;:&amp;nbsp; If&lt;span style=&quot;color: #b45f06;&quot;&gt;&amp;nbsp;&lt;span style=&quot;font-weight: bold;&quot;&gt;A&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Symbol; font-weight: bold;&quot;&gt;®&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp;B&amp;nbsp;&lt;/span&gt;&lt;/span&gt;and&lt;span style=&quot;color: #b45f06;&quot;&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp;B&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Symbol; font-weight: bold;&quot;&gt;®&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp;C&lt;/span&gt;&lt;/span&gt;, then it can be stated that the following transitive dependency exists:&amp;nbsp;&lt;span style=&quot;color: #b45f06;&quot;&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;A&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Symbol; font-weight: bold;&quot;&gt;®&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp;B&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Symbol; font-weight: bold;&quot;&gt;®&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp;C&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 5.28pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
Example:&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;staffNo&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp; &amp;nbsp;&amp;nbsp;job&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;dept&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;dname&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;b&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;u style=&quot;line-height: 14px;&quot;&gt;Transitive Dependencies&lt;/u&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06; font-family: Arial, Helvetica, sans-serif;&quot;&gt;SL10&amp;nbsp; &amp;nbsp;&amp;nbsp;Salesman&amp;nbsp; &amp;nbsp;10&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Sales &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;staffNo&lt;/span&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #fc0128; font-family: Symbol; line-height: 14px;&quot;&gt;®&lt;/span&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;dept&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06; font-family: Arial, Helvetica, sans-serif;&quot;&gt;SA51&amp;nbsp; &amp;nbsp;&amp;nbsp;Manager&amp;nbsp; &amp;nbsp; &amp;nbsp;20&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Accounts &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;dept&lt;/span&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #fc0128; font-family: Symbol; line-height: 14px;&quot;&gt;®&lt;/span&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;dname&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06; font-family: Arial, Helvetica, sans-serif;&quot;&gt;DS40&amp;nbsp; &amp;nbsp; &amp;nbsp;Clerk&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;20&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Accounts&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06; font-family: Arial, Helvetica, sans-serif;&quot;&gt;OS45&amp;nbsp; &amp;nbsp; &amp;nbsp;Clerk&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;30&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Operations &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;staffNo&lt;/span&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Symbol; line-height: 14px;&quot;&gt;®&lt;/span&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;dept&lt;/span&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Symbol; line-height: 14px;&quot;&gt;®&lt;/span&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;dname&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;font-size: 20pt;&quot;&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;b&gt;&lt;u&gt;&lt;br /&gt;&lt;/u&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #b45f06;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
here also&amp;nbsp;&lt;span style=&quot;font-weight: bold;&quot;&gt;Repetition of data!&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;&lt;span style=&quot;color: #38761d;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;h3 style=&quot;line-height: 17px;&quot;&gt;


&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&lt;span style=&quot;color: #38761d; font-size: large;&quot;&gt;&lt;i&gt;Normalization&amp;nbsp;&lt;/i&gt;&lt;/span&gt;&lt;span style=&quot;color: #38761d; font-size: large;&quot;&gt;&lt;i&gt;Achieves This!&lt;/i&gt;&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;
&lt;div&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&lt;i&gt;&lt;span style=&quot;line-height: 14px;&quot;&gt;remove repeating groups and&amp;nbsp;&lt;/span&gt;&amp;nbsp;&lt;span style=&quot;line-height: 14px;&quot;&gt;avoid redundancy and data anomalies by remoting partial and transitive functional dependencies.&lt;/span&gt;&lt;/i&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; line-height: 14px; text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgAJyjX9Su2bmrue4Zi4d24l1vyeUcUZac-CKVeb2_t-ZUgtgcwbc5ibzzvrVBncs_G-QgEStIxsCI7NdW1c9R-zssCm6qtlINQ71qLZ9I1ZPW36Ht8qUka_wlMFPqEo9pSFiK86vQnA6U/s1600/Untitled.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgAJyjX9Su2bmrue4Zi4d24l1vyeUcUZac-CKVeb2_t-ZUgtgcwbc5ibzzvrVBncs_G-QgEStIxsCI7NdW1c9R-zssCm6qtlINQ71qLZ9I1ZPW36Ht8qUka_wlMFPqEo9pSFiK86vQnA6U/s1600/Untitled.png&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 14px; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;span style=&quot;color: #38761d;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;Unnormalised&lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt; Normal Form (UNF)&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: blue; font-weight: bold;&quot;&gt;Definition&lt;/span&gt;:
A relation is unnormalised
when it has not had any normalisation
rules applied to it, and it suffers from various anomalies.&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-style: italic;&quot;&gt;&lt;span style=&quot;color: #38761d;&quot;&gt;&lt;b&gt;First
Normal Form (1NF)&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Definition&lt;/span&gt;:
A relation is in 1NF if, and only if, all its underlying attributes contain
atomic values only.&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-style: italic;&quot;&gt;&lt;span style=&quot;color: #38761d;&quot;&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-style: italic;&quot;&gt;&lt;b&gt;&lt;span style=&quot;color: #38761d;&quot;&gt;Second
Normal Form (2NF)&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;Definition&lt;/span&gt;:
A relation is in 2NF if, and only if, it is in 1NF and every non-key attribute
is fully dependent on the primary key.&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;i&gt;&lt;span style=&quot;color: purple;&quot;&gt;&amp;nbsp;&amp;nbsp;&lt;span style=&quot;font-weight: bold; line-height: 90%; text-indent: 0in;&quot;&gt;Remove partial functional dependencies
into a new relation&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;i&gt;consider the relation&amp;nbsp;&lt;/i&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
student( Rollno, Name, CourseNo, CourseName, Deptid, DeptName)&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;here {Rollno,,courseNo,Deptid} is candidate key&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
if there exist the partial functional dependency like Rollno--&amp;gt;Name &amp;nbsp;or &amp;nbsp;Deptid--&amp;gt;DeptName it is not in 2NF&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;b&gt;Decomposition&lt;/b&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;student(Rollno,CourseNo,CourseName,Deptid)&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;X1(Rollno,Name)&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0in; margin-top: 5.28pt; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;X2(Deptid,DeptName)&lt;/div&gt;
&lt;h3 style=&quot;text-align: left;&quot;&gt;

&lt;span style=&quot;color: #38761d;&quot;&gt;&lt;i&gt;Third normal form(3NF)&lt;/i&gt;&lt;/span&gt;&lt;/h3&gt;
&lt;div&gt;
A relation R is in 3rd normal form if and only if it is in 2NF and every non-key attribute is non-transitively dependent on the primary key.&lt;/div&gt;
&lt;div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-top: 0pt; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-weight: bold;&quot;&gt;&lt;i&gt;&lt;span style=&quot;color: purple;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; Remove transitive functional dependencies
into a new relation&lt;/span&gt;&lt;/i&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;div&gt;
consider the relation&lt;/div&gt;
&lt;div&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;Shipdetails(Ship,Capacity,Date,Cargo,Value) &amp;nbsp; &amp;nbsp;with following functional dependency&lt;/div&gt;
&lt;div&gt;
&amp;nbsp;Ship,Date--&amp;gt;Cargo,Capacity&lt;/div&gt;
&lt;div&gt;
&amp;nbsp;Cargo--&amp;gt;Value &amp;nbsp;relation is not in 3NF&amp;nbsp;&lt;/div&gt;
&lt;div&gt;
&lt;b&gt;Decomposition&lt;/b&gt;&lt;/div&gt;
&lt;div&gt;
&lt;b&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/b&gt;Shipdetails(Ship,Capacity,Date,Cargo)&lt;/div&gt;
&lt;div&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;X1(Cargo,Value)&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
A relation in 3NF does not have any anamolies but it still have redundency.&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;span style=&quot;color: #38761d;&quot;&gt;&lt;b&gt;&lt;i&gt;&lt;span style=&quot;font-family: Arial; line-height: 90%; text-indent: 0in;&quot;&gt;Boyce-&lt;/span&gt;&lt;span style=&quot;font-family: Arial; line-height: 90%; text-indent: 0in;&quot;&gt;Codd&lt;/span&gt;&lt;span style=&quot;font-family: Arial; line-height: 90%; text-indent: 0in;&quot;&gt;&amp;nbsp;Normal Form
(BCNF)&lt;/span&gt;&amp;nbsp;&lt;/i&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-family: Arial;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt; &amp;nbsp; &amp;nbsp;A
more restricted version of 3NF (known as &lt;span style=&quot;font-weight: bold;&quot;&gt;Boyce-&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;Codd&lt;/span&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;
Normal Form&lt;/span&gt;)
requires that the determinant of every functional dependency in a relation be a
superkey
-
for every FD: X =&amp;gt; Y, X is a superkey&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;Consider the following relation:&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&lt;span style=&quot;text-indent: -0.38in;&quot;&gt;STU-MAJ-ADV (&lt;/span&gt;&lt;u style=&quot;text-indent: -0.38in;&quot;&gt;Student-Id&lt;/u&gt;&lt;span style=&quot;text-indent: -0.38in;&quot;&gt;, Major, Advisor)&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-align: justify; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&lt;span style=&quot;text-indent: -0.38in;&quot;&gt;Advisor --&amp;gt; Major &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;, but Advisor is not a&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;text-indent: -0.38in;&quot;&gt;superkey&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&lt;b&gt;Decomposition&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&lt;span style=&quot;text-indent: -0.38in;&quot;&gt;STU-ADV (&lt;/span&gt;&lt;u style=&quot;text-indent: -0.38in;&quot;&gt;Student-Id&lt;/u&gt;&lt;span style=&quot;text-indent: -0.38in;&quot;&gt;,
Advisor)&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&lt;span style=&quot;text-indent: -0.38in;&quot;&gt;ADV-MAJ (&lt;/span&gt;&lt;u style=&quot;text-indent: -0.38in;&quot;&gt;Advisor&lt;/u&gt;&lt;span style=&quot;text-indent: -0.38in;&quot;&gt;,
Major)&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;h3&gt;

&lt;span style=&quot;font-family: Tahoma;&quot;&gt;&lt;span style=&quot;color: #38761d; font-size: small;&quot;&gt;&lt;i&gt;4th Normal Form&lt;/i&gt;&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;
&lt;h3&gt;

&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif; font-size: small;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;&lt;span style=&quot;line-height: 80%; text-indent: -0.58in;&quot;&gt;A
Boyce &lt;/span&gt;&lt;span style=&quot;line-height: 80%; text-indent: -0.58in;&quot;&gt;Codd&lt;/span&gt;&lt;span style=&quot;line-height: 80%; text-indent: -0.58in;&quot;&gt;
normal form relation is in fourth normal form if&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.58in; margin-top: 6.72pt; text-indent: -0.58in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.58in; margin-top: 6.72pt; text-indent: -0.58in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;(a)there
is no multi value dependency in the relation or &lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.58in; margin-top: 6.72pt; text-indent: -0.58in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&lt;b&gt;&lt;i&gt;&lt;br /&gt;&lt;/i&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.58in; margin-top: 6.72pt; text-indent: -0.58in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;(b)there
are multi value dependency but the attributes, which are multi valued&amp;nbsp;dependent
on a specific attribute, are independent each other.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.58in; margin-top: 6.72pt; text-indent: -0.58in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;consider the following relation&amp;nbsp;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;Employee (Eid, Languages, Skills)&amp;nbsp;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;Eid
---&amp;gt;&amp;gt; Languages&amp;nbsp; Eid
---&amp;gt;&amp;gt; Skills&lt;br /&gt;Languages and Skills are &lt;u&gt;independent&lt;/u&gt;.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&lt;b&gt;Decomposition&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;div style=&quot;direction: ltr; language: en-US; margin-bottom: 0pt; margin-left: .38in; margin-top: 6.0pt; text-align: left; text-indent: -.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;Emplyee_Language(Eid,
Languages)&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; language: en-US; margin-bottom: 0pt; margin-left: .38in; margin-top: 6.0pt; text-align: left; text-indent: -.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;Emplyee_Language(Eid,
Skills)&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; language: en-US; margin-bottom: 0pt; margin-left: .38in; margin-top: 6.0pt; text-align: left; text-indent: -.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&lt;span style=&quot;text-indent: -0.38in;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;h3 style=&quot;text-align: left;&quot;&gt;

&lt;span style=&quot;color: #eaeaea; font-family: Tahoma;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/h3&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-align: left; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&lt;span style=&quot;text-indent: -0.38in;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;h3 style=&quot;text-align: left;&quot;&gt;


&lt;span style=&quot;font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;color: #38761d; font-size: x-large;&quot;&gt;&lt;i&gt;What is
a Transaction?&lt;/i&gt;&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3dkuZZ59ItnoH0KYEn2M3ieOSuBw1PL-K30NIhBjRc4ZvbZvKb8x54ZIehXaFGIq_wS39Xj07XxnQ-8fM5fqTW3Kzl-lQRQGiN_9SJ-mzluAzYp3T3QsZ7DBoJ9gJRDT4V8vDBNQPOQw/s1600/images.jpg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3dkuZZ59ItnoH0KYEn2M3ieOSuBw1PL-K30NIhBjRc4ZvbZvKb8x54ZIehXaFGIq_wS39Xj07XxnQ-8fM5fqTW3Kzl-lQRQGiN_9SJ-mzluAzYp3T3QsZ7DBoJ9gJRDT4V8vDBNQPOQw/s1600/images.jpg&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;A logical unit of work on a database&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;An entire program&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;A portion of a program&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;A single command&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;The entire series of steps necessary to accomplish a
logical unit of work&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Successful transactions change the database from one
CONSISTENT STATE to another &lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; (One where all
data integrity constraints are satisfied)&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Example
of a Transaction&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Updating a Record&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Locate the Record on Disk&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Bring record into Buffer&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Update Data in the Buffer&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Writing Data Back to Disk&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;h3 style=&quot;text-align: left;&quot;&gt;


&lt;span style=&quot;color: #38761d; font-size: x-large;&quot;&gt;&lt;span style=&quot;font-family: Garamond; font-weight: bold;&quot;&gt;ACID &lt;/span&gt;&lt;span style=&quot;font-family: Garamond; font-weight: bold;&quot;&gt;Properties of
a Transaction&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;
&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&lt;b&gt;&amp;nbsp;&lt;/b&gt;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;b&gt;Atomic&lt;/b&gt; – All or Nothing&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; All parts of
the transaction must be completed and committed or it must be aborted and
rolled back&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&lt;b&gt;&amp;nbsp;&lt;/b&gt;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;b&gt;Consistency &lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;The&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Consistency_(database_systems)&quot;&gt;consistency&lt;/a&gt;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp;property ensures that any transaction will bring
the database from one valid state to another. Any data written to the database
must be valid according to all defined rules, including but not limited to
constraints, cascades, triggers, and any combination thereof.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;b&gt;&lt;span style=&quot;color: #ffcc00; font-family: Wingdings; line-height: 90%; text-indent: -0.38in;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; line-height: 90%; text-indent: -0.38in;&quot;&gt;Isolation&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; The final effects of multiple simultaneous
transactions must be the same as if they were executed one right after the
other .&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings; line-height: 90%; text-indent: -0.38in;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; line-height: 90%; text-indent: -0.38in;&quot;&gt;&lt;b&gt;Durability&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; If a transaction has been committed, the DBMS
must ensure that its effects are permanently recorded in the database (even if
the system crashes)&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;color: #38761d; font-size: large;&quot;&gt;Transaction
Management with SQL&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 7.68pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;SQL Statements &lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Wingdings;&quot;&gt;à&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt; Commit / Rollback&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 7.68pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;When a transaction sequence is initiated it must
continue through all succeeding SQL statements until:&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 1.08in; margin-top: 6.72pt; text-indent: -0.58in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;!&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;A Commit
Statement is Reached&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 1.08in; margin-top: 6.72pt; text-indent: -0.58in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;!&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;A Rollback
Statement is Reached&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 1.08in; margin-top: 6.72pt; text-indent: -0.58in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;!&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;The End of the
Program is Reached (Commit)&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 1.08in; margin-top: 6.72pt; text-indent: -0.58in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;!&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;The
Program&amp;nbsp; is Abnormally Terminated
(Rollback)&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Transaction
Log&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Keeps track of all transactions that update the
database&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Record for the beginning of the transaction&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Type of operation (insert / update / delete)&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Names of objects/tables affected by the transaction&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Before and After Values for Updated Fields&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Pointers to Previous and Next Transaction Log Entries
for the same transaction&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;The Ending of the Transaction (Commit)&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Used for recovery in case of a Rollback&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Concurrency
Control&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Coordination
of simultaneous transaction execution in a multiprocessing database system&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Ensure
transaction &lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;serializability&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt; in a multi-user database&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Lack of
Concurrency Control can create data integrity and consistency problems:&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Lost
Updates&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Uncommitted
Data&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; text-indent: -36px;&quot;&gt;i&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; line-height: 90%; text-indent: -0.31in;&quot;&gt;nconsistent
Retrievals&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Serial
Execution of Transactions&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Serial Execution of transaction means that the
transactions are performed one after another.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;No interaction between transactions&amp;nbsp; - No Concurrency Control Problems&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Serial Execution will never leave the database in an
inconsistent state &lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Wingdings;&quot;&gt;à&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt; Every Serial Execution is considered correct (Even if
a different order would cause different results)&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;h3 style=&quot;text-align: left;&quot;&gt;


&lt;span style=&quot;font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;color: #38761d; font-size: x-large;&quot;&gt;Serializability&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;If 2 Transactions are only reading data items – They
do not conflict &lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Wingdings;&quot;&gt;à&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt; Order is unimportant&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;If 2 Transactions operate (Read/Write) on Separate
Data Items &lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; – They do not
conflict &lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Wingdings;&quot;&gt;à&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt; Order is unimportant&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;If 1 Transaction Writes to a Data Item and Another
Reads or Writes to the Same Data Item &lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Wingdings;&quot;&gt;à&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt; The Order of Execution IS Important&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;br /&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;The
Scheduler&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Special DBMS Program to establish the order of
operations in which concurrent transactions are executes&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Interleaves the execution of database operations to
ensure:&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Serializability&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;Isolation of
Transactions&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;text-indent: -0.38in;&quot;&gt;&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; text-indent: -0.38in;&quot;&gt;Bases its actions on Concurrency Control Algorithms
(Locking / Time Stamping)&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Ensures the CPU is used efficiently (Scheduling
Methods)&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Facilitates Data Isolation &lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Wingdings;&quot;&gt;à&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt; Ensure that 2 transactions do not update the same
data at the same time&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Concurrency
Control Algorithms&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;line-height: 90%; text-indent: -0.38in;&quot;&gt;&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; line-height: 90%; text-indent: -0.38in;&quot;&gt;Locking&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp;A Transaction “locks” a database object to prevent
another object from modifying the object&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Time-Stamping&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;Assign a global unique time stamp to each
transaction&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Optimistic&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;Assumption that most database operations do
not conflict&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;h3 style=&quot;text-align: left;&quot;&gt;


&lt;span style=&quot;color: #38761d; font-family: Garamond; font-size: x-large; font-weight: bold;&quot;&gt;Locking&lt;/span&gt;&lt;/h3&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Lock guarantees exclusive use of data item to current
transaction&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Prevents reading Inconsistent Data&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Lock Manager is responsible for assigning and policing
the locks used by the transaction&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Locking
Granularity&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Indicates
the level of lock use&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Database
Level – Entire Database is Locked&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Table
Level – Entire Table is Locked&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Page
Level – Locks an Entire &lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Diskpage&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt; &lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;(Most Frequently Used)&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n &lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Row
Level – Locks Single Row of Table&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Field
Level – Locks a Single Attribute of a Single Row (Rarely Done)&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-size: large;&quot;&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold; text-indent: -0.38in;&quot;&gt;Types
of Locks:&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold; text-indent: -0.38in;&quot;&gt;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; font-size: large;&quot;&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Binary Locks – Lock with 2 States&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Locked – No other transaction can use that object&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Unlocked – Any transaction can lock and use object&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;All
Transactions require a Lock and Unlock Operation for Each &lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; Object
Accessed (Handled by DBMS)&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Eliminates Lost Updates&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Too Restrictive to Yield Optimal Concurrency
Conditions&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 5.76pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhj3URm4tH6OwwqYOhyphenhyphen2JSCuRvC4I0prS5rRnhCcQqcWbNfVj_VKplltiXmRWq8qh6OjPlMH7gHJnhP23wBhKMRRC5yBKvblKzsa25E6M3Uk0Xc7g100HRlzV6x84oeFt8b_p66FHHOFLo/s1600/f.jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;149&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhj3URm4tH6OwwqYOhyphenhyphen2JSCuRvC4I0prS5rRnhCcQqcWbNfVj_VKplltiXmRWq8qh6OjPlMH7gHJnhP23wBhKMRRC5yBKvblKzsa25E6M3Uk0Xc7g100HRlzV6x84oeFt8b_p66FHHOFLo/s200/f.jpg&quot; width=&quot;200&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Shared
/ Exclusive Locks:&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; line-height: 80%; text-indent: -0.38in;&quot;&gt;Indicates
the Nature of the Lock&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; line-height: 80%; text-indent: -0.38in;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n &lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Shared
Lock – Concurrent Transactions are granted READ&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; line-height: 80%; text-indent: -0.38in;&quot;&gt;access on the basis of a &amp;nbsp; &amp;nbsp; common
lock&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings; line-height: 80%; text-indent: -0.38in;&quot;&gt;n&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; line-height: 80%; text-indent: -0.38in;&quot;&gt;&amp;nbsp; &amp;nbsp; Exclusive
Lock – Access is reserved for the transaction that&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; line-height: 80%; text-indent: -0.38in;&quot;&gt;locked the object&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;3
States:&amp;nbsp; Unlocked, Shared (Read),
Exclusive (Write)&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;More
Efficient Data Access Solution&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;More
Overhead for Lock Manager&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Type of
lock needed must be known &lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;3
Operations:&amp;nbsp; &lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O2&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 1.25in; margin-top: 4.32pt; text-indent: -0.25in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #e5e5ff; font-family: Wingdings;&quot;&gt;n&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Read_Lock&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt; –
Check to see the type of lock&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O2&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 1.25in; margin-top: 4.32pt; text-indent: -0.25in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #e5e5ff; font-family: Wingdings;&quot;&gt;n&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Write_Lock&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt; –
Issue a Lock&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O2&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 1.25in; margin-top: 4.32pt; text-indent: -0.25in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #e5e5ff; font-family: Wingdings;&quot;&gt;n&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Unlock
– Release a Lock&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Allow
Upgrading / Downgrading of Locks&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Problems
with Locking&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;text-indent: -0.38in;&quot;&gt;&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; text-indent: -0.38in;&quot;&gt;Transaction Schedule May Not be &lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; text-indent: -0.38in;&quot;&gt;Serializable&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Can be solved with 2-Phase Locking&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 7.68pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;May Cause Deadlocks&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;A deadlock is caused when 2 transactions wait for each
other to unlock data&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold; text-indent: -0.38in;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Two
Phase Locking&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 6.72pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Defines how transactions Acquire and Relinquish Locks&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 6.72pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;!&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Growing
Phase – The transaction acquires all locks (doesn’t unlock any data)&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 6.72pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;!&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Shrinking
Phase – The transaction releases locks (doesn’t lock any additional data)&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 6.72pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Transactions acquire all locks it needs until it
reaches locked point&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 6.72pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;When locked, data is modified and locks are released&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 6.72pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Deadlocks&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 6.72pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Occur
when 2 transactions exist in the following mode:&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;T1 = access data item X and Y&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;T2 = Access data items Y and X&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; If T1
does not unlock Y, T2 cannot begin&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; If T2
does not unlock X, T1 cannot continue&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp;T1
&amp;amp; T2 wait indefinitely for each other to unlock data&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Deadlocks
are only possible if a transactions wants an Exclusive Lock&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;(No Deadlocks on
Shared Locks)&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Controlling
Deadlocks&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 6.72pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;font-size: 28pt;&quot;&gt;&lt;span style=&quot;color: #ffcc00; font-family: Wingdings; font-size: 70%;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Prevention
– A transaction requesting a new lock is aborted if there is the&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; possibility of
a deadlock – Transaction is rolled back, Locks are released,&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; Transaction is
rescheduled&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Detection
– Periodically test the database for deadlocks.&amp;nbsp;
If a deadlock is found,&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;abort / rollback one of the transactions&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Avoidance
– Requires a transaction to obtain all locks needed before it can&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;execute –
requires locks to be obtained in succession&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;h3 style=&quot;text-align: left;&quot;&gt;







&lt;span style=&quot;color: #38761d; font-family: Garamond; font-size: x-large; font-weight: bold;&quot;&gt;Time
Stamping&lt;/span&gt;&lt;/h3&gt;
&lt;div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 5.76pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Creates
a specific order in which the transactions are processed by the DBMS&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 5.76pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;2 Main
Properties&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 1.08in; margin-top: 4.8pt; text-indent: -0.58in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;!&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Uniqueness
– Assumes that no equal time stamp value can exist (ensures &lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;serializability&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt; of the
transactions)&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 1.08in; margin-top: 4.8pt; text-indent: -0.58in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;!&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Monotonicity
– Ensures that time stamp values always increases&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 5.76pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;All
operations within the same transaction have the same time stamp&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 5.76pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;f
Transactions conflict, one is rolled back and rescheduled&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 5.76pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Each
value in Database requires 2 Additional Fields:&amp;nbsp;
Last Time Read / Last Time Updated&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 5.76pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Increases
Memory Need and Processing Overhead&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.67in; margin-top: 5.76pt; text-indent: -0.67in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Time
Stamping Schemes&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Wait
/&amp;nbsp; Die Scheme&lt;br /&gt;
&amp;nbsp; The older transaction will wait&amp;nbsp; &lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; The younger transaction will be rolled back&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Wound /
Wait Scheme&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; The older transaction will preempt (wound) &lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; the younger transaction and roll it back&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; The younger transaction waits for the older &lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&amp;nbsp; transaction to release the locks&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Without
time-out values, Deadlocks may be created&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;h3 style=&quot;text-align: left;&quot;&gt;







&lt;span style=&quot;color: #38761d; font-family: Garamond; font-size: x-large; font-weight: bold;&quot;&gt;Database
Recovery&lt;/span&gt;&lt;/h3&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4N6v24X4INQSfiTMUC8XeRrDlwuE5MkLsOwA_MhtWAmQl9juHfWzWiQ1uqODIOUiZZKmVJPBpsCyFIcrxP0jFG-kOlejD1Mx-SvGcBGnq9QDkncGDX-z4c8FhviEAxJ9FWR9OOlnCxS8/s1600/images.jpg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;93&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4N6v24X4INQSfiTMUC8XeRrDlwuE5MkLsOwA_MhtWAmQl9juHfWzWiQ1uqODIOUiZZKmVJPBpsCyFIcrxP0jFG-kOlejD1Mx-SvGcBGnq9QDkncGDX-z4c8FhviEAxJ9FWR9OOlnCxS8/s200/images.jpg&quot; width=&quot;200&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Restore
a database from a given state to a previous consistent state&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Atomic
Transaction Property (All or None)&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Backup
Levels:&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Full
Backup&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Differential
Backup&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; text-indent: -0.38in;&quot;&gt;T&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond; line-height: 80%; text-indent: -0.31in;&quot;&gt;ransaction
Log Backup&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Database
/ System Failures:&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Software
(O.S., DBMS, Application Programs, Viruses)&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Hardware
(Memory Chips, Disk Crashes, Bad Sectors)&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Programming
Exemption (Application Program rollbacks)&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Transaction
(Aborting transactions due to deadlock detection)&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 80%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;External
(Fire, Flood, &lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;etc&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;)&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;h3 style=&quot;text-align: left;&quot;&gt;







&lt;span style=&quot;font-family: Garamond; font-weight: bold;&quot;&gt;&lt;span style=&quot;color: #38761d; font-size: large;&quot;&gt;Transaction
Recovery&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;
&lt;div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Recover
Database by using data in the Transaction Log&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Write-Ahead-Log
– Transaction logs need to be written before any database data is updated&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Redundant
Transaction Logs – Several copies of log on different devices&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Database
Buffers – Buffers are used to increase processing time on updates instead of
accessing data on disk&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 5.76pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #ffcc00; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Database
Checkpoints – Process of writing all updated buffers to disk &lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Wingdings;&quot;&gt;à&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt; While this is taking place, all other requests are
not executes&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Scheduled
several times per hour&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;O1&quot; style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.81in; margin-top: 4.8pt; text-indent: -0.31in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #a886e0; font-family: Wingdings;&quot;&gt;n&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;Checkpoints
are registered in the transaction log&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;div style=&quot;direction: ltr; line-height: 90%; margin-bottom: 0pt; margin-left: 0.38in; margin-top: 6.72pt; text-indent: -0.38in; unicode-bidi: embed; vertical-align: baseline;&quot;&gt;
&lt;span style=&quot;color: #001145; font-family: Garamond;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;br /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://mudgalbrajnesh.blogspot.com/feeds/7262577609893816495/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/05/transaction-management.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/7262577609893816495'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/7262577609893816495'/><link rel='alternate' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/05/transaction-management.html' title='DATABASE MANAGEMENT SYSTEM'/><author><name>Brajnesh Mudgal (lucky)</name><uri>http://www.blogger.com/profile/17678111974692335467</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiW7TfkTLE9uAkQPSmfPD2nhEeLJZFjie81guyt24ELed5IzlYfgJOOU7VrzhAYKq22IrPy1yZyChp2dtEBuFmaSlzoTRAjAhwgkrXf7sx8aTHMYXxomLKDFzJh3UKe5g/s220/DSC_0529.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnxm4occuBcWmsunp-1PnDFKlo5GtS-UzIxvwNXJCCCy5XFfqMpeRKT4K_NJ3qS9s959cXQy_bh-scP7nC0fygRXrR2lOWbWL8IcwH6rVjyq4DhaQKSa5kiBP5ZPchgjDfn57IHfuPD4c/s72-c/images+(1).jpg" height="72" width="72"/><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-5111326008742027908.post-3752066032388040340</id><published>2012-05-17T11:26:00.000-07:00</published><updated>2012-05-17T21:35:34.402-07:00</updated><title type='text'>analog communication</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
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&lt;br /&gt;&lt;/div&gt;
&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;A&amp;nbsp;&lt;/span&gt;&lt;b style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;discrete signal&lt;/b&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;or&amp;nbsp;&lt;/span&gt;&lt;b style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;discrete-time signal&lt;/b&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;is a&lt;/span&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;function of a continuous argument; however, it may have been obtained by&amp;nbsp;&lt;/span&gt;&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/Sampling_(information_theory)&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Sampling (information theory)&quot;&gt;sampling&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;from a continuous-time signal, and then each value in the sequence is called a&amp;nbsp;&lt;/span&gt;&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/Sample_(signal)&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot; title=&quot;Sample (signal)&quot;&gt;sample&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;.&lt;/span&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;By acquiring values of an&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Analog_signal&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Analog signal&quot;&gt;analog signal&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;at constant or variable rate. This process is called&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Sampling_(signal_processing)&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Sampling (signal processing)&quot;&gt;sampling&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;
&lt;span style=&quot;background-color: white; text-align: -webkit-auto;&quot;&gt;&lt;span style=&quot;font-family: sans-serif;&quot;&gt;&lt;span style=&quot;line-height: 19px;&quot;&gt;time axis is discrete whereas in&amp;nbsp;continuous&amp;nbsp;single time axis is&amp;nbsp;continuous&amp;nbsp;&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;
&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
&lt;a href=&quot;http://upload.wikimedia.org/wikipedia/commons/thumb/8/88/Sampled.signal.svg/585px-Sampled.signal.svg.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;File:Sampled.signal.svg&quot; border=&quot;0&quot; height=&quot;179&quot; src=&quot;http://upload.wikimedia.org/wikipedia/commons/thumb/8/88/Sampled.signal.svg/585px-Sampled.signal.svg.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;A&amp;nbsp;&lt;/span&gt;&lt;b style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;continuous signal&lt;/b&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;or a&amp;nbsp;&lt;/span&gt;&lt;b style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;continuous-time signal&lt;/b&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;is a varying quantity (a&amp;nbsp;&lt;/span&gt;&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/Signal_(information_theory)&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Signal (information theory)&quot;&gt;signal&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;) whose domain, which is often time, is a&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Continuum_(set_theory)&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Continuum (set theory)&quot;&gt;continuum&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;(e.g., a&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Connected_space&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Connected space&quot;&gt;connected&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;interval of the&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Real_number&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Real number&quot;&gt;reals&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;). That is, the function&#39;s domain is an&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Uncountable_set&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Uncountable set&quot;&gt;uncountable set&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;. The function itself need not be&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Continuous_function&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Continuous function&quot;&gt;continuous&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;. To contrast, a&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Discrete_time&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Discrete time&quot;&gt;discrete time&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;signal has a&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Countable_set&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Countable set&quot;&gt;countable&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;domain, like the&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Natural_number&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Natural number&quot;&gt;natural numbers&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;.&lt;/span&gt;
&lt;br /&gt;
&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;A&amp;nbsp;&lt;/span&gt;&lt;b style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;digital signal&lt;/b&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;is&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;discrete-time signal for which not only the time but also the amplitude has been made discrete; in other words, its samples take on only values from a discrete set&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;
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&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;background-color: #f9f9f9; font-family: sans-serif; font-size: 12px; line-height: 19px; text-align: center;&quot;&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;thumbcaption&quot; style=&quot;border: none; font-family: sans-serif; font-size: 11px; line-height: 1.4em; padding: 3px !important;&quot;&gt;
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&lt;a class=&quot;internal&quot; href=&quot;http://en.wikipedia.org/wiki/File:Digital.signal.svg&quot; style=&quot;background-image: none !important; background-position: initial initial !important; background-repeat: initial initial !important; border: none !important; color: #0b0080; display: block; text-decoration: none;&quot; title=&quot;Enlarge&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;11&quot; src=&quot;http://bits.wikimedia.org/skins-1.20wmf1/common/images/magnify-clip.png&quot; style=&quot;background-image: none !important; background-position: initial initial !important; background-repeat: initial initial !important; border: none !important; display: block; vertical-align: middle;&quot; width=&quot;15&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; Digital signal&lt;/div&gt;
&lt;div class=&quot;thumbcaption&quot; style=&quot;border: none; font-family: sans-serif; font-size: 11px; line-height: 1.4em; padding: 3px !important;&quot;&gt;
&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;A&amp;nbsp;&lt;/span&gt;&lt;dfn class=&quot;term&quot; style=&quot;background-color: white; display: inline; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; font-style: normal; font-weight: bold; line-height: 18px; text-align: -webkit-auto;&quot;&gt;deterministic signal&lt;/dfn&gt;&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;is a signal in which each value of the signal is fixed and can be determined by a mathematical expression, rule, or table.&lt;/span&gt;
&lt;/div&gt;
&lt;div class=&quot;thumbcaption&quot; style=&quot;border: none; font-family: sans-serif; font-size: 11px; line-height: 1.4em; padding: 3px !important;&quot;&gt;
&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;thumbcaption&quot; style=&quot;border: none; padding: 3px !important; text-align: left;&quot;&gt;
&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;A&amp;nbsp;&lt;b&gt;non&lt;/b&gt;-&lt;/span&gt;&lt;dfn class=&quot;term&quot; style=&quot;background-color: white; display: inline; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; font-style: normal; font-weight: bold; line-height: 18px; text-align: -webkit-auto;&quot;&gt;deterministic signal&amp;nbsp;&lt;/dfn&gt;&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;has a lot of uncertainty about its behavior. The future values of a random signal cannot be accurately predicted and can usually only be guessed based on the&amp;nbsp;&lt;/span&gt;&lt;a class=&quot;cnxn&quot; href=&quot;http://cnx.org/content/m10656/latest/&quot; style=&quot;background-color: white; color: #664477; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; font-weight: bold; line-height: 18px; text-align: -webkit-auto;&quot; title=&quot;Strength 3&quot;&gt;averages&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;of sets of signals&lt;/span&gt;&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; line-height: 18px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;background-color: white;&quot;&gt;&lt;span style=&quot;color: #333333; font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;span style=&quot;line-height: 1.4em;&quot;&gt;For a&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;line-height: 15px;&quot;&gt;non-deterministic&lt;/span&gt;&lt;span style=&quot;line-height: 1.4em;&quot;&gt;&amp;nbsp;signal the physical phenomenon cannot be represented mathematically.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;thumbcaption&quot; style=&quot;border: none; padding: 3px !important; text-align: left;&quot;&gt;
&lt;span style=&quot;background-color: white;&quot;&gt;&lt;span style=&quot;color: #333333; font-family: Arial, Helvetica, sans-serif;&quot;&gt;&lt;span style=&quot;line-height: 1.4em;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class=&quot;thumbcaption&quot; style=&quot;border: none; padding: 3px !important; text-align: left;&quot;&gt;
&lt;a class=&quot;cnxn&quot; href=&quot;http://cnx.org/content/m10744/latest/&quot; style=&quot;background-color: white; color: #664477; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; font-weight: bold; line-height: 18px; text-align: -webkit-auto;&quot; title=&quot;Strength 3&quot;&gt;Periodic signals&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;repeat with some&amp;nbsp;&lt;/span&gt;&lt;dfn class=&quot;term&quot; style=&quot;background-color: white; display: inline; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; font-style: normal; font-weight: bold; line-height: 18px; text-align: -webkit-auto;&quot;&gt;period&lt;/dfn&gt;&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;background-color: white; border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; font-family: serif; font-size: 12px; margin: 0px; padding: 0px; white-space: nowrap; word-wrap: normal;&quot;&gt;&lt;nobr style=&quot;border: 0px; margin: 0px; max-height: none; max-width: none; padding: 0px; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;math&quot; id=&quot;MathJax-Span-6&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; font-size: 18px; height: 0px; margin: 0px; padding: 0px; position: relative; vertical-align: 0px; width: 0.616em;&quot;&gt;&lt;span style=&quot;border: 0px; clip: rect(1.329em 1000em 2.343em -0.483em); left: 0em; margin: 0px; padding: 0px; position: absolute; top: -2.175em; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-7&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-8&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-9&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-10&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Math; font-style: italic; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;T&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 2.175em; margin: 0px; padding: 0px; position: static; vertical-align: 0px; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border-left-style: solid; border-width: 0px 0px 0px 0em; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; height: 1.009em; margin: 0px; overflow: hidden; padding: 0px; position: static; vertical-align: 0em; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/nobr&gt;&lt;/span&gt;&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;, while aperiodic, or nonperiodic, signals do not &lt;/span&gt;&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;. We can define a periodic function through the following mathematical expression, where&amp;nbsp;&lt;/span&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;background-color: white; border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; font-family: serif; font-size: 12px; margin: 0px; padding: 0px; white-space: nowrap; word-wrap: normal;&quot;&gt;&lt;nobr style=&quot;border: 0px; margin: 0px; max-height: none; max-width: none; padding: 0px; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;math&quot; id=&quot;MathJax-Span-11&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; font-size: 18px; height: 0px; margin: 0px; padding: 0px; position: relative; vertical-align: 0px; width: 0.336em;&quot;&gt;&lt;span style=&quot;border: 0px; clip: rect(1.381em 1000em 2.354em -0.485em); left: 0em; margin: 0px; padding: 0px; position: absolute; top: -2.175em; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-12&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-13&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-14&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-15&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Math; font-style: italic; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;t&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 2.175em; margin: 0px; padding: 0px; position: static; vertical-align: 0px; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border-left-style: solid; border-width: 0px 0px 0px 0em; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; height: 0.948em; margin: 0px; overflow: hidden; padding: 0px; position: static; vertical-align: -0.016em; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/nobr&gt;&lt;/span&gt;&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;can be any number and&amp;nbsp;&lt;/span&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;background-color: white; border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; font-family: serif; font-size: 12px; margin: 0px; padding: 0px; white-space: nowrap; word-wrap: normal;&quot;&gt;&lt;nobr style=&quot;border: 0px; margin: 0px; max-height: none; max-width: none; padding: 0px; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;math&quot; id=&quot;MathJax-Span-16&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; font-size: 18px; height: 0px; margin: 0px; padding: 0px; position: relative; vertical-align: 0px; width: 0.616em;&quot;&gt;&lt;span style=&quot;border: 0px; clip: rect(1.329em 1000em 2.343em -0.483em); left: 0em; margin: 0px; padding: 0px; position: absolute; top: -2.175em; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-17&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-18&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-19&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-20&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Math; font-style: italic; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;T&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 2.175em; margin: 0px; padding: 0px; position: static; vertical-align: 0px; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border-left-style: solid; border-width: 0px 0px 0px 0em; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; height: 1.009em; margin: 0px; overflow: hidden; padding: 0px; position: static; vertical-align: 0em; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/nobr&gt;&lt;/span&gt;&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;is a positive constant:&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;equation&quot; id=&quot;per&quot; style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; margin: 0.5em 0px 1em; position: relative; text-align: -webkit-auto;&quot;&gt;
&lt;div class=&quot;equation-contents&quot;&gt;
&lt;div aria-readonly=&quot;true&quot; class=&quot;MathJax_Display&quot; role=&quot;textbox&quot; style=&quot;margin: 1em 0em; position: relative; text-align: center; width: 1022px;&quot;&gt;
&lt;span class=&quot;MathJax&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; font-family: serif; line-height: normal; margin: 0px; padding: 0px; text-align: left; white-space: nowrap; word-spacing: normal; word-wrap: normal;&quot;&gt;&lt;nobr style=&quot;border: 0px; margin: 0px; max-height: none; max-width: none; padding: 0px; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;math&quot; id=&quot;MathJax-Span-31&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; font-size: 18px; height: 0px; margin: 0px; padding: 0px; position: relative; vertical-align: 0px; width: 6.213em;&quot;&gt;&lt;span style=&quot;border: 0px; clip: rect(1.256em 1000em 2.594em -0.449em); left: 0em; margin: 0px; padding: 0px; position: absolute; top: -2.175em; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-32&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-33&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-34&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-35&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-36&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-37&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Math; font-style: italic; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;f&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-38&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mfenced&quot; id=&quot;MathJax-Span-39&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-40&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; font-family: MathJax_Main; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;(&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-41&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-42&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Math; font-style: italic; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;t&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-43&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; font-family: MathJax_Main; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-44&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px 0px 0px 0.278em; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-45&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Main; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;=&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-46&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px 0px 0px 0.278em; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-47&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-48&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-49&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Math; font-style: italic; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;f&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-50&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mfenced&quot; id=&quot;MathJax-Span-51&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-52&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; font-family: MathJax_Main; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;(&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-53&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-54&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-55&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Math; font-style: italic; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;T&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-56&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Main; margin: 0px; padding: 0px 0px 0px 0.222em; position: static; vertical-align: 0px;&quot;&gt;+&lt;/span&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-57&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px 0px 0px 0.222em; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-58&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Math; font-style: italic; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;t&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-59&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; font-family: MathJax_Main; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 2.175em; margin: 0px; padding: 0px; position: static; vertical-align: 0px; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border-left-style: solid; border-width: 0px 0px 0px 0em; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; height: 1.492em; margin: 0px; overflow: hidden; padding: 0px; position: static; vertical-align: -0.374em; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/nobr&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;span class=&quot;equation-number&quot; style=&quot;color: #336699; font-family: arial, helvetica, sans-serif; font-size: 0.9em; font-weight: bold; position: absolute; right: 0px; text-transform: uppercase; top: 50%;&quot;&gt;(1)&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;The&amp;nbsp;&lt;/span&gt;&lt;dfn class=&quot;term&quot; style=&quot;background-color: white; display: inline; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; font-style: normal; font-weight: bold; line-height: 18px; text-align: -webkit-auto;&quot;&gt;fundamental period&lt;/dfn&gt;&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;of our function,&amp;nbsp;&lt;/span&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;background-color: white; border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; font-family: serif; font-size: 12px; margin: 0px; padding: 0px; white-space: nowrap; word-wrap: normal;&quot;&gt;&lt;nobr style=&quot;border: 0px; margin: 0px; max-height: none; max-width: none; padding: 0px; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;math&quot; id=&quot;MathJax-Span-60&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; font-size: 18px; height: 0px; margin: 0px; padding: 0px; position: relative; vertical-align: 0px; width: 1.623em;&quot;&gt;&lt;span style=&quot;border: 0px; clip: rect(1.256em 1000em 2.594em -0.449em); left: 0em; margin: 0px; padding: 0px; position: absolute; top: -2.175em; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-61&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-62&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-63&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-64&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-65&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Math; font-style: italic; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;f&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-66&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mfenced&quot; id=&quot;MathJax-Span-67&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-68&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; font-family: MathJax_Main; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;(&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-69&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-70&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Math; font-style: italic; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;t&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-71&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; font-family: MathJax_Main; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 2.175em; margin: 0px; padding: 0px; position: static; vertical-align: 0px; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border-left-style: solid; border-width: 0px 0px 0px 0em; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; height: 1.492em; margin: 0px; overflow: hidden; padding: 0px; position: static; vertical-align: -0.374em; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/nobr&gt;&lt;/span&gt;&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;, is the smallest value of&amp;nbsp;&lt;/span&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;background-color: white; border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; font-family: serif; font-size: 12px; margin: 0px; padding: 0px; white-space: nowrap; word-wrap: normal;&quot;&gt;&lt;nobr style=&quot;border: 0px; margin: 0px; max-height: none; max-width: none; padding: 0px; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;math&quot; id=&quot;MathJax-Span-72&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; font-size: 18px; height: 0px; margin: 0px; padding: 0px; position: relative; vertical-align: 0px; width: 0.616em;&quot;&gt;&lt;span style=&quot;border: 0px; clip: rect(1.329em 1000em 2.343em -0.483em); left: 0em; margin: 0px; padding: 0px; position: absolute; top: -2.175em; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-73&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-74&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-75&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-76&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Math; font-style: italic; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;T&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 2.175em; margin: 0px; padding: 0px; position: static; vertical-align: 0px; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border-left-style: solid; border-width: 0px 0px 0px 0em; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; height: 1.009em; margin: 0px; overflow: hidden; padding: 0px; position: static; vertical-align: 0em; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/nobr&gt;&lt;/span&gt;&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;that the still allows&amp;nbsp;&lt;/span&gt;&lt;a class=&quot;cnxn&quot; href=&quot;http://cnx.org/content/m10057/latest/#per&quot; style=&quot;background-color: white; color: #664477; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; font-weight: bold; line-height: 18px; text-align: -webkit-auto;&quot; title=&quot;Strength 3&quot;&gt;&lt;span class=&quot;cnxn-target&quot; style=&quot;text-transform: capitalize;&quot;&gt;Equation 1&lt;/span&gt;&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;to be true.&lt;/span&gt;
&lt;/div&gt;
&lt;div class=&quot;thumbcaption&quot; style=&quot;border: none; padding: 3px !important; text-align: left;&quot;&gt;
&lt;table align=&quot;center&quot; border=&quot;0&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;vertical-subfigure&quot; id=&quot;fig3a&quot; style=&quot;background-color: white; color: black; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; margin: 0.5em auto 0px; text-align: center;&quot;&gt;&lt;tfoot&gt;
&lt;tr&gt;&lt;th class=&quot;vertical-subfigure-caption caption&quot; style=&quot;border-collapse: collapse; font-size: 0.9em; line-height: normal; padding: 0px 0.3em 0.5em;&quot;&gt;&lt;strong class=&quot;cnx_label&quot;&gt;(a)&amp;nbsp;&lt;/strong&gt;A periodic signal with period&amp;nbsp;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; font-family: serif; font-weight: normal; margin: 0px; padding: 0px; text-align: left; white-space: nowrap; word-spacing: normal; word-wrap: normal;&quot;&gt;&lt;nobr style=&quot;border: 0px; margin: 0px; max-height: none; max-width: none; padding: 0px; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;math&quot; id=&quot;MathJax-Span-77&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; font-size: 15px; height: 0px; margin: 0px; padding: 0px; position: relative; vertical-align: 0px; width: 1.117em;&quot;&gt;&lt;span style=&quot;border: 0px; clip: rect(1.308em 1000em 2.546em -0.591em); left: 0em; margin: 0px; padding: 0px; position: absolute; top: -2.183em; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-78&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-79&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-80&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-81&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;msub&quot; id=&quot;MathJax-Span-82&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 0px; margin: 0px; padding: 0px; position: relative; vertical-align: 0px; width: 1.136em;&quot;&gt;&lt;span style=&quot;border: 0px; clip: rect(1.308em 1000em 2.38em -0.57em); left: 0em; margin: 0px; padding: 0px; position: absolute; top: -2.183em; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-83&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Math; font-style: italic; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;T&lt;/span&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 2.183em; margin: 0px; padding: 0px; position: static; vertical-align: 0px; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border: 0px; left: 0.666em; margin: 0px; padding: 0px; position: absolute; top: -2.033em; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mn&quot; id=&quot;MathJax-Span-84&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Main; font-size: 11px; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;0&lt;/span&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 2.183em; margin: 0px; padding: 0px; position: static; vertical-align: 0px; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-85&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 2.183em; margin: 0px; padding: 0px; position: static; vertical-align: 0px; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border-left-style: solid; border-width: 0px 0px 0px 0em; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; height: 1.189em; margin: 0px; overflow: hidden; padding: 0px; position: static; vertical-align: -0.233em; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/nobr&gt;&lt;/span&gt;&lt;/th&gt;&lt;/tr&gt;
&lt;/tfoot&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td class=&quot;inner-vertical-subfigure&quot; style=&quot;border-collapse: collapse; border: 0px; padding: 0.3em;&quot;&gt;&lt;span class=&quot;media&quot; id=&quot;id1618866&quot;&gt;&lt;img alt=&quot;Figure 3(a) (sigclass3.png)&quot; src=&quot;http://cnx.org/content/m10057/latest/sigclass3.png&quot; style=&quot;border: 0px;&quot; /&gt;&lt;/span&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;table align=&quot;center&quot; border=&quot;0&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;vertical-subfigure&quot; id=&quot;fig3b&quot; style=&quot;background-color: white; color: black; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; line-height: 18px; margin: 0.5em auto 0px; text-align: center;&quot;&gt;&lt;tfoot&gt;
&lt;tr&gt;&lt;th class=&quot;vertical-subfigure-caption caption&quot; style=&quot;border-collapse: collapse; padding: 0px 0.3em 0.5em;&quot;&gt;&lt;span style=&quot;font-size: 11px; line-height: normal;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;h3 style=&quot;color: red; font-family: &#39;Times New Roman&#39;; font-size: large; line-height: normal; text-align: -webkit-auto;&quot;&gt;









ENERGY SIGNAL&lt;/h3&gt;
&lt;span style=&quot;font-family: serif; font-weight: normal; line-height: normal; text-align: -webkit-auto;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;If the total energy of a signal is a finite non-zero value, then that signal is classified as an&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: small; line-height: normal;&quot;&gt;&lt;em style=&quot;font-family: serif; font-weight: normal; text-align: -webkit-auto;&quot;&gt;&lt;strong&gt;&amp;nbsp;energy signal&lt;/strong&gt;&lt;/em&gt;&lt;span style=&quot;font-family: serif; font-weight: normal; text-align: -webkit-auto;&quot;&gt;.Typically the signals which are not periodic turns out to be energy signals. For example, a single rectangular pulse and a decaying exponential signal are energy signals.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;h3 style=&quot;color: red; font-family: &#39;Times New Roman&#39;; font-size: large; line-height: normal; text-align: -webkit-auto;&quot;&gt;









POWER SIGNAL&lt;/h3&gt;
&lt;div style=&quot;line-height: normal;&quot;&gt;
&lt;span style=&quot;font-family: serif; font-weight: normal; text-align: -webkit-auto;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;If power of a signal is a finite non-zero value and its energy is infinite, then that signal is classified as a power signal.&amp;nbsp;&lt;/span&gt;&lt;/span&gt;
&lt;/div&gt;
&lt;div style=&quot;line-height: normal;&quot;&gt;
&lt;span style=&quot;font-family: serif; font-weight: normal; text-align: -webkit-auto;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div&gt;
&lt;h3 class=&quot;section-header&quot; style=&quot;border-color: rgb(51, 102, 153); border-style: solid; border-width: 0px 0px 1px 1px; color: #336699; font-size: 1.05em; line-height: 18px; margin: 0.5em 0px 0px; padding: 0px 0px 0.1em 0.4em; text-align: -webkit-auto;&quot;&gt;









&lt;strong class=&quot;title&quot;&gt;The unit step&lt;/strong&gt;&lt;/h3&gt;
&lt;div class=&quot;section-contents&quot; style=&quot;text-align: -webkit-auto;&quot;&gt;
&lt;div class=&quot;para&quot; id=&quot;s3s2p1&quot; style=&quot;font-weight: normal; line-height: 18px; margin-bottom: 1em; margin-top: 1em;&quot;&gt;
The&amp;nbsp;&lt;em class=&quot;emphasis&quot; style=&quot;font-style: normal; font-weight: bold;&quot;&gt;unit step&lt;/em&gt;&amp;nbsp;function is equal to zero when its index is negative and equal to one for non-negative indexes&lt;/div&gt;
&lt;div class=&quot;note&quot; style=&quot;border-color: rgb(204, 204, 204) rgb(51, 51, 51) rgb(51, 51, 51) rgb(204, 204, 204); border-style: solid; border-width: 1px; line-height: 18px; margin: 0.5em 3em 0.75em; padding: 0.75em;&quot;&gt;
&lt;div class=&quot;note-contents&quot; style=&quot;display: inline;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; padding: 0px; text-align: left; white-space: nowrap; word-spacing: normal; word-wrap: normal;&quot;&gt;&lt;nobr style=&quot;border: 0px; margin: 0px; max-height: none; max-width: none; padding: 0px; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;math&quot; id=&quot;MathJax-Span-246&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 0px; margin: 0px; padding: 0px; position: relative; vertical-align: 0px; width: 9.963em;&quot;&gt;&lt;span style=&quot;color: #336699; font-family: arial, helvetica, sans-serif; font-size: 0.9em; font-weight: normal; line-height: 18px; text-align: -webkit-auto; text-transform: uppercase; white-space: normal; word-spacing: normal;&quot;&gt;UNIT STEP:&lt;/span&gt;&lt;span style=&quot;color: #336699; font-family: arial, helvetica, sans-serif; font-size: 0.9em; font-weight: normal; line-height: 18px; text-align: -webkit-auto; text-transform: uppercase; white-space: normal; word-spacing: normal;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/nobr&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;note&quot; style=&quot;border-color: rgb(204, 204, 204) rgb(51, 51, 51) rgb(51, 51, 51) rgb(204, 204, 204); border-style: solid; border-width: 1px; line-height: 18px; margin: 0.5em 3em 0.75em; padding: 0.75em; text-align: -webkit-auto; white-space: normal;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; padding: 0px; text-align: left; white-space: nowrap; word-spacing: normal; word-wrap: normal;&quot;&gt;&lt;nobr style=&quot;border: 0px; margin: 0px; max-height: none; max-width: none; padding: 0px; vertical-align: 0px;&quot;&gt;&lt;/nobr&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;note-contents&quot; style=&quot;display: inline; font-family: tahoma, verdana, arial, helvetica, sans-serif; font-size: 12px; font-weight: normal;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; padding: 0px; text-align: left; white-space: nowrap; word-spacing: normal; word-wrap: normal;&quot;&gt;&lt;nobr style=&quot;border: 0px; margin: 0px; max-height: none; max-width: none; padding: 0px; vertical-align: 0px;&quot;&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; font-family: serif; line-height: normal; margin: 0px; padding: 0px; text-align: left; white-space: nowrap; word-spacing: normal; word-wrap: normal;&quot;&gt;&lt;/span&gt;&lt;/nobr&gt;&lt;nobr style=&quot;border: 0px; margin: 0px; max-height: none; max-width: none; padding: 0px; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;math&quot; id=&quot;MathJax-Span-246&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; font-size: 18px; height: 0px; margin: 0px; padding: 0px; position: relative; vertical-align: 0px; width: 9.963em;&quot;&gt;&lt;span style=&quot;border: 0px; clip: rect(1.789em 1000em 4.524em -0.483em); left: 0em; margin: 0px; padding: 0px; position: absolute; top: -3.407em; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-247&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-248&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-249&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-250&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-251&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-252&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Math; font-style: italic; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;u&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-253&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;/span&gt;&lt;span class=&quot;mfenced&quot; id=&quot;MathJax-Span-254&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-255&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; font-family: MathJax_Main; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;(&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-256&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-257&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Math; font-style: italic; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;n&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-258&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; font-family: MathJax_Main; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;)&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-259&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Main; margin: 0px; padding: 0px 0px 0px 0.278em; position: static; vertical-align: 0px;&quot;&gt;=&lt;/span&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-260&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px 0px 0px 0.278em; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-261&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0em;&quot;&gt;&lt;span style=&quot;border: 0px; font-family: MathJax_Size3; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;{&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mtable&quot; id=&quot;MathJax-Span-262&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px 0.1667em; position: static; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 0px; margin: 0px; padding: 0px; position: relative; vertical-align: 0px; width: 5.765em;&quot;&gt;&lt;span style=&quot;border: 0px; clip: rect(0.721em 1000em 3.047em -0.465em); left: 0em; margin: 0px; padding: 0px; position: absolute; top: -2.175em; vertical-align: 0px;&quot;&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 0px; margin: 0px; padding: 0px; position: relative; vertical-align: 0px; width: 5.765em;&quot;&gt;&lt;span style=&quot;border: 0px; clip: rect(1.302em 1000em 2.481em -0.421em); left: 0em; margin: 0px; padding: 0px; position: absolute; top: -2.757em; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mtd&quot; id=&quot;MathJax-Span-263&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-264&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mn&quot; id=&quot;MathJax-Span-265&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Main; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;1&lt;/span&gt;&lt;span class=&quot;mtext&quot; id=&quot;MathJax-Span-266&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Main; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&amp;nbsp; if &amp;nbsp;&lt;/span&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-267&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-268&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mi&quot; id=&quot;MathJax-Span-269&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Math; font-style: italic; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;n&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;mo&quot; id=&quot;MathJax-Span-270&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Main; margin: 0px; padding: 0px 0px 0px 0.278em; position: static; vertical-align: 0px;&quot;&gt;≥&lt;/span&gt;&lt;span class=&quot;mn&quot; id=&quot;MathJax-Span-271&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Main; margin: 0px; padding: 0px 0px 0px 0.278em; position: static; vertical-align: 0px;&quot;&gt;0&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 2.175em; margin: 0px; padding: 0px; position: static; vertical-align: 0px; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border: 0px; clip: rect(1.312em 1000em 2.365em -0.465em); left: 0em; margin: 0px; padding: 0px; position: absolute; top: -1.494em; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mtd&quot; id=&quot;MathJax-Span-272&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mrow&quot; id=&quot;MathJax-Span-273&quot; style=&quot;border: 0px; display: inline; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&lt;span class=&quot;mn&quot; id=&quot;MathJax-Span-274&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Main; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;0&lt;/span&gt;&lt;span class=&quot;mtext&quot; id=&quot;MathJax-Span-275&quot; style=&quot;border: 0px; display: inline; font-family: MathJax_Main; margin: 0px; padding: 0px; position: static; vertical-align: 0px;&quot;&gt;&amp;nbsp; otherwise &amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 2.175em; margin: 0px; padding: 0px; position: static; vertical-align: 0px; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 2.175em; margin: 0px; padding: 0px; position: static; vertical-align: 0px; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border: 0px; display: inline-block; height: 3.407em; margin: 0px; padding: 0px; position: static; vertical-align: 0px; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;border-left-style: solid; border-width: 0px 0px 0px 0em; display: inline-block; font-family: MathJax_Main, MathJax_Size1, MathJax_AMS; height: 3.572em; margin: 0px; overflow: hidden; padding: 0px; position: static; vertical-align: -1.414em; width: 0px;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/nobr&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; line-height: normal; margin: 0px; padding: 0px; text-align: left; white-space: nowrap; word-spacing: normal; word-wrap: normal;&quot;&gt;
a &lt;span style=&quot;font-weight: normal;&quot;&gt;signal that satisfies the unit step function is called unit step function.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;div class=&quot;note&quot; style=&quot;border-color: rgb(204, 204, 204) rgb(51, 51, 51) rgb(51, 51, 51) rgb(204, 204, 204); border-style: solid; border-width: 1px; margin: 0.5em 3em 0.75em; padding: 0.75em;&quot;&gt;
&lt;div class=&quot;note-contents&quot; style=&quot;display: inline;&quot;&gt;
&lt;h3&gt;









&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span style=&quot;line-height: normal; white-space: nowrap;&quot;&gt;Ramp signal&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span style=&quot;font-family: &#39;Times New Roman&#39;; font-size: small; font-weight: normal; line-height: normal; text-align: -webkit-auto; white-space: normal; word-spacing: normal;&quot;&gt;The Step signal can be interpreted as a ramp of width zero, when the ramp is defined as follows&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;font-family: &#39;Times New Roman&#39;; font-size: medium; font-weight: normal; line-height: normal; text-align: -webkit-auto; white-space: normal; word-spacing: normal;&quot;&gt;
&lt;/div&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;div align=&quot;CENTER&quot;&gt;
&lt;table align=&quot;CENTER&quot; style=&quot;font-family: &#39;Times New Roman&#39;; font-size: medium; font-weight: normal; line-height: normal; white-space: normal; word-spacing: normal;&quot;&gt;&lt;tbody&gt;
&lt;tr valign=&quot;MIDDLE&quot;&gt;&lt;td align=&quot;CENTER&quot; nowrap=&quot;&quot;&gt;&lt;img alt=&quot;\begin{displaymath}
\mathrm{ramp}(x,w) = \left\{
\begin{array}{ll}
1 &amp;amp; \textrm...
...eq x &amp;lt; w$}\\
0 &amp;amp; \textrm{if $x &amp;lt; 0$}\\
\end{array} \right.
\end{displaymath}&quot; height=&quot;76&quot; src=&quot;http://www.cg.tuwien.ac.at/~theussl/DA/img29.gif&quot; width=&quot;290&quot; /&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;h3 style=&quot;font-family: &#39;Times New Roman&#39;; line-height: normal; white-space: normal; word-spacing: normal;&quot;&gt;

&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; font-size: large; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;Signum signal&lt;/span&gt;&lt;/h3&gt;
&lt;div style=&quot;font-family: &#39;Times New Roman&#39;; font-size: medium; font-weight: normal; line-height: normal; white-space: normal; word-spacing: normal;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;The signum function of a&amp;nbsp;&lt;a href=&quot;http://en.wikipedia.org/wiki/Real_number&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #0b0080; text-decoration: none;&quot; title=&quot;Real number&quot;&gt;real number&lt;/a&gt;&amp;nbsp;&lt;i&gt;x&lt;/i&gt;&amp;nbsp;is defined as follows:&lt;/span&gt;&lt;/div&gt;
&lt;dl style=&quot;margin-bottom: 0.5em; margin-top: 0.2em; text-align: -webkit-auto;&quot;&gt;&lt;dd style=&quot;font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em; margin-right: 0px; white-space: normal; word-spacing: normal;&quot;&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;img alt=&quot; \sgn(x) = \begin{cases}
-1 &amp;amp; \text{if } x &amp;lt; 0, \\
0 &amp;amp; \text{if } x = 0, \\
1 &amp;amp; \text{if } x &amp;gt; 0. \end{cases}&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/2/6/c/26ca3289b0a374f571997861520afd19.png&quot; style=&quot;border: none; vertical-align: middle;&quot; /&gt;&lt;/span&gt;&lt;/dd&gt;&lt;dd style=&quot;font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em; margin-right: 0px; white-space: normal; word-spacing: normal;&quot;&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;If the dependent variable x is replaced with the time the signal obtained is called signum signal.&lt;/span&gt;&lt;/dd&gt;&lt;h3&gt;







&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;

&lt;span style=&quot;font-family: sans-serif; font-size: x-small;&quot;&gt;&lt;span style=&quot;line-height: 19px;&quot;&gt;&amp;nbsp;Rectangular pulse&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;
&lt;/span&gt;&lt;/dl&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 19px; text-align: -webkit-auto; white-space: normal; word-spacing: normal;&quot;&gt;A rapid, transient change in the amplitude of a&amp;nbsp;&lt;/span&gt;&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/Signalling_(telecommunication)&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 19px; text-align: -webkit-auto; text-decoration: none; white-space: normal; word-spacing: normal;&quot; title=&quot;Signalling (telecommunication)&quot;&gt;signal&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 19px; text-align: -webkit-auto; white-space: normal; word-spacing: normal;&quot;&gt;&amp;nbsp;from a baseline value to a higher or lower value, followed by a rapid return to the baseline value is known as pulse and if pulse is in rectangular form it is called rectangular pulse signal.&lt;/span&gt;
&lt;/span&gt;&lt;/div&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;div align=&quot;CENTER&quot;&gt;
&lt;h2 style=&quot;font-family: &#39;Times New Roman&#39;; line-height: normal; text-align: -webkit-auto;&quot;&gt;






&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;


&lt;a href=&quot;http://www.blogger.com/blogger.g?blogID=5111326008742027908&quot; name=&quot;SECTION10412000000000000000&quot;&gt;The impulse signal&lt;/a&gt;&lt;/span&gt;&lt;/h2&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span style=&quot;font-family: &#39;Times New Roman&#39;; font-size: small; font-weight: normal; line-height: normal; text-align: -webkit-auto;&quot;&gt;The impulse function, also known as Dirac delta function or Dirac impulse, is defined by&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;font-family: &#39;Times New Roman&#39;; font-size: medium; font-weight: normal; line-height: normal; text-align: -webkit-auto;&quot;&gt;
&lt;/div&gt;
&lt;div align=&quot;CENTER&quot;&gt;
&lt;table align=&quot;CENTER&quot; style=&quot;font-family: &#39;Times New Roman&#39;; font-size: medium; font-weight: normal; line-height: normal;&quot;&gt;&lt;tbody&gt;
&lt;tr valign=&quot;MIDDLE&quot;&gt;&lt;td align=&quot;CENTER&quot; nowrap=&quot;&quot;&gt;&lt;img alt=&quot;\begin{displaymath}
\delta(\mathrm{x})= \left\{
\begin{array}{ll}
\infty &amp;amp; \textrm{if $x=0$}\\
0 &amp;amp; \textrm{else}\\
\end{array} \right.
\end{displaymath}&quot; height=&quot;53&quot; src=&quot;http://www.cg.tuwien.ac.at/~theussl/DA/img31.gif&quot; width=&quot;178&quot; /&gt;&lt;br /&gt;
&lt;h1 class=&quot;firstHeading&quot; id=&quot;firstHeading&quot; style=&quot;background-image: none; border-bottom-color: rgb(170, 170, 170); border-bottom-style: solid; border-bottom-width: 1px; font-family: sans-serif; font-size: 1.6em; font-weight: normal; line-height: 1.2em; margin: 0px 0px 0.1em; overflow: hidden; padding-bottom: 0px; padding-top: 0px; text-align: -webkit-auto; white-space: normal;&quot;&gt;









&lt;span dir=&quot;auto&quot;&gt;Linear system&lt;/span&gt;&lt;/h1&gt;
&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div style=&quot;font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 19px; margin-bottom: 0.5em; margin-top: 0.4em; text-align: -webkit-auto;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;A&amp;nbsp;&lt;b&gt;linear system&lt;/b&gt;&amp;nbsp;is a mathematical model of a&amp;nbsp;&lt;a href=&quot;http://en.wikipedia.org/wiki/System&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #0b0080; text-decoration: none;&quot; title=&quot;System&quot;&gt;system&lt;/a&gt;&amp;nbsp;based on the use of a&amp;nbsp;&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/Linear_operator&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #0b0080; text-decoration: none;&quot; title=&quot;Linear operator&quot;&gt;linear operator&lt;/a&gt;. Linear systems typically exhibit features and properties that are much simpler than the general,&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/Nonlinear&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #0b0080; text-decoration: none;&quot; title=&quot;Nonlinear&quot;&gt;nonlinear&lt;/a&gt;&amp;nbsp;case. As a mathematical abstraction or idealization, linear systems find important applications in&amp;nbsp;&lt;a href=&quot;http://en.wikipedia.org/wiki/Automatic_control&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #0b0080; text-decoration: none;&quot; title=&quot;Automatic control&quot;&gt;automatic control&lt;/a&gt;&amp;nbsp;theory,&amp;nbsp;&lt;a href=&quot;http://en.wikipedia.org/wiki/Signal_processing&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #0b0080; text-decoration: none;&quot; title=&quot;Signal processing&quot;&gt;signal processing&lt;/a&gt;, and&amp;nbsp;&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/Telecommunications&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #0b0080; text-decoration: none;&quot; title=&quot;Telecommunications&quot;&gt;telecommunications&lt;/a&gt;. For example, the propagation medium for wireless communication systems can often be modeled by linear systems.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 19px; margin-bottom: 0.5em; margin-top: 0.4em; text-align: -webkit-auto;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;A general&amp;nbsp;&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/Deterministic_system_(mathematics)&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #0b0080; text-decoration: none;&quot; title=&quot;Deterministic system (mathematics)&quot;&gt;deterministic system&lt;/a&gt;&amp;nbsp;can be described by operator,&amp;nbsp;&lt;img alt=&quot;H&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/c/1/d/c1d9f50f86825a1a2302ec2449c17196.png&quot; style=&quot;border: none; margin: 0px; vertical-align: middle;&quot; /&gt;, that maps an input,&amp;nbsp;&lt;img alt=&quot;x(t)&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/f/d/5/fd5f9e2ee180a439aaec015692916a1c.png&quot; style=&quot;border: none; margin: 0px; vertical-align: middle;&quot; /&gt;, as a function of&amp;nbsp;&lt;img alt=&quot;t&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/e/3/5/e358efa489f58062f10dd7316b65649e.png&quot; style=&quot;border: none; margin: 0px; vertical-align: middle;&quot; /&gt;&amp;nbsp;to an output,&amp;nbsp;&lt;img alt=&quot;y(t)&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/0/7/0/0707669836d19443cf6c5cc89ca963e6.png&quot; style=&quot;border: none; margin: 0px; vertical-align: middle;&quot; /&gt;, a type of&amp;nbsp;&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/Black_box_(systems)&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #0b0080; text-decoration: none;&quot; title=&quot;Black box (systems)&quot;&gt;black box&lt;/a&gt;&amp;nbsp;description. Linear systems satisfy the properties of&amp;nbsp;&lt;a href=&quot;http://en.wikipedia.org/wiki/Superposition_principle&quot; style=&quot;background-image: none; color: #0b0080;&quot; title=&quot;Superposition principle&quot;&gt;superposition&lt;/a&gt;&amp;nbsp;and&amp;nbsp;&lt;a href=&quot;http://en.wikipedia.org/wiki/Scaling&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #0b0080; text-decoration: none;&quot; title=&quot;Scaling&quot;&gt;scaling&lt;/a&gt;&amp;nbsp;or&amp;nbsp;&lt;a href=&quot;http://en.wikipedia.org/wiki/Homogeneous_function&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #0b0080; text-decoration: none;&quot; title=&quot;Homogeneous function&quot;&gt;homogeneity&lt;/a&gt;. Given two valid inputs&lt;/span&gt;&lt;/div&gt;
&lt;dl style=&quot;font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 19px; margin-bottom: 0.5em; margin-top: 0.2em; text-align: -webkit-auto;&quot;&gt;&lt;dd style=&quot;line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em; margin-right: 0px;&quot;&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;img alt=&quot;x_1(t) \,&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/f/9/9/f9955920dc96bdfd317d163bcdb93abe.png&quot; style=&quot;border: none; vertical-align: middle;&quot; /&gt;&lt;/span&gt;&lt;/dd&gt;&lt;dd style=&quot;line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em; margin-right: 0px;&quot;&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;img alt=&quot;x_2(t) \,&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/4/f/d/4fddd1e133e5088be8d0db8072475ce9.png&quot; style=&quot;border: none; vertical-align: middle;&quot; /&gt;&lt;/span&gt;&lt;/dd&gt;&lt;/dl&gt;
&lt;div style=&quot;font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 19px; margin-bottom: 0.5em; margin-top: 0.4em; text-align: -webkit-auto;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;as well as their respective outputs&lt;/span&gt;&lt;/div&gt;
&lt;dl style=&quot;font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 19px; margin-bottom: 0.5em; margin-top: 0.2em; text-align: -webkit-auto;&quot;&gt;&lt;dd style=&quot;line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em; margin-right: 0px;&quot;&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;img alt=&quot;y_1(t) = H \left \{ x_1(t) \right \} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/f/6/0/f6054c083a51db66be03ed35db66d372.png&quot; style=&quot;border: none; vertical-align: middle;&quot; /&gt;&lt;/span&gt;&lt;/dd&gt;&lt;dd style=&quot;line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em; margin-right: 0px;&quot;&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;img alt=&quot;y_2(t) = H \left \{ x_2(t) \right \} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/0/5/b/05ba445375295410b68b35e8279ca2ac.png&quot; style=&quot;border: none; vertical-align: middle;&quot; /&gt;&lt;/span&gt;&lt;/dd&gt;&lt;/dl&gt;
&lt;div style=&quot;font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 19px; margin-bottom: 0.5em; margin-top: 0.4em; text-align: -webkit-auto;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;then a linear system must satisfy&lt;/span&gt;&lt;/div&gt;
&lt;dl style=&quot;font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 19px; margin-bottom: 0.5em; margin-top: 0.2em; text-align: -webkit-auto;&quot;&gt;&lt;dd style=&quot;line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em; margin-right: 0px;&quot;&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;img alt=&quot;\alpha y_1(t) + \beta y_2(t) = H \left \{ \alpha x_1(t) + \beta x_2(t) \right \} &quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/7/3/c/73c97168807e99a60837352291b1e435.png&quot; style=&quot;border: none; vertical-align: middle;&quot; /&gt;&lt;/span&gt;&lt;/dd&gt;&lt;/dl&gt;
&lt;div style=&quot;font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 19px; margin-bottom: 0.5em; margin-top: 0.4em; text-align: -webkit-auto;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;for any&amp;nbsp;&lt;a href=&quot;http://en.wikipedia.org/wiki/Scalar_(mathematics)&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #0b0080; text-decoration: none;&quot; title=&quot;Scalar (mathematics)&quot;&gt;scalar&lt;/a&gt;&amp;nbsp;values&amp;nbsp;&lt;img alt=&quot;\alpha \,&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/b/2/7/b27abc434a11d07b390df859d7aa782a.png&quot; style=&quot;border: none; margin: 0px; vertical-align: middle;&quot; /&gt;&amp;nbsp;and&amp;nbsp;&lt;img alt=&quot;\beta \,&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/8/1/b/81b4c8dd7cbec41cae5ef37da5644e99.png&quot; style=&quot;border: none; margin: 0px; vertical-align: middle;&quot; /&gt;.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 19px; margin-bottom: 0.5em; margin-top: 0.4em; text-align: -webkit-auto;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: sans-serif; font-weight: normal; margin-bottom: 0.5em; margin-top: 0.4em; text-align: -webkit-auto;&quot;&gt;
&lt;/div&gt;
&lt;h1 class=&quot;firstHeading&quot; id=&quot;firstHeading&quot; style=&quot;background-image: none; border-bottom-color: rgb(170, 170, 170); border-bottom-style: solid; border-bottom-width: 1px; font-family: &#39;Times New Roman&#39;; font-size: 1.6em; font-weight: normal; line-height: 1.2em; margin: 0px 0px 0.1em; overflow: hidden; padding-bottom: 0px; padding-top: 0px;&quot;&gt;






&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;


&lt;span dir=&quot;auto&quot;&gt;Nonlinear system&lt;/span&gt;&lt;/span&gt;&lt;/h1&gt;
&lt;div style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: 19px;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&amp;nbsp;&lt;b&gt;nonlinear system&lt;/b&gt;&amp;nbsp;is one that does not satisfy the&amp;nbsp;&lt;a href=&quot;http://en.wikipedia.org/wiki/Superposition_principle&quot; style=&quot;background-image: none; color: #0b0080; text-decoration: none;&quot; title=&quot;Superposition principle&quot;&gt;superposition principle&lt;/a&gt;, or one whose output is not&amp;nbsp;&lt;a href=&quot;http://en.wikipedia.org/wiki/Proportionality_(mathematics)#Direct_proportionality&quot; style=&quot;background-image: none; color: #0b0080; text-decoration: none;&quot; title=&quot;Proportionality (mathematics)&quot;&gt;directly proportional&lt;/a&gt;&amp;nbsp;to its input&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: 19px;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: 19px;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div&gt;
&lt;div style=&quot;font-family: &#39;Times New Roman&#39;; font-weight: normal;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;h1 class=&quot;firstHeading&quot; id=&quot;firstHeading&quot; style=&quot;background-image: none; border-bottom-color: rgb(170, 170, 170); border-bottom-style: solid; border-bottom-width: 1px; font-family: &#39;Times New Roman&#39;; font-size: 1.6em; font-weight: normal; line-height: 1.2em; margin: 0px 0px 0.1em; overflow: hidden; padding-bottom: 0px; padding-top: 0px;&quot;&gt;






&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;

&lt;span dir=&quot;auto&quot;&gt;
&lt;span dir=&quot;auto&quot;&gt;Time-invariant system&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/h1&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;
&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div&gt;
&lt;div style=&quot;font-family: &#39;Times New Roman&#39;; font-weight: normal;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: 19px; margin-bottom: 0.5em; margin-top: 0.4em;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;A&amp;nbsp;&lt;b&gt;time-invariant&lt;/b&gt;&amp;nbsp;(TIV) system is one whose output does not depend explicitly on time.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;dl style=&quot;margin-bottom: 0.5em; margin-top: 0.2em;&quot;&gt;&lt;dd style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em; margin-right: 0px;&quot;&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;If the input signal&amp;nbsp;&lt;img alt=&quot;x(t)&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/f/d/5/fd5f9e2ee180a439aaec015692916a1c.png&quot; style=&quot;border: none; vertical-align: middle;&quot; /&gt;&amp;nbsp;produces an output&amp;nbsp;&lt;img alt=&quot;y(t)&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/0/7/0/0707669836d19443cf6c5cc89ca963e6.png&quot; style=&quot;border: none; vertical-align: middle;&quot; /&gt;&amp;nbsp;then any time shifted input,&amp;nbsp;&lt;img alt=&quot;x(t + \delta)&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/e/8/6/e8693c7d5a6cc7fc1bf3dbd4d21f8166.png&quot; style=&quot;border: none; vertical-align: middle;&quot; /&gt;, results in a time-shifted output&amp;nbsp;&lt;img alt=&quot;y(t + \delta)&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/1/7/9/179e07ab4f945c5d5aa46b6c85cd75ae.png&quot; style=&quot;border: none; vertical-align: middle;&quot; /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/dd&gt;&lt;dd style=&quot;margin-bottom: 0.1em; margin-left: 1.6em; margin-right: 0px;&quot;&gt;&lt;div style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: 1.5em; margin-bottom: 0.5em; margin-top: 0.4em;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;To demonstrate how to determine if a system is time-invariant then consider the two systems:&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;ul style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: 1.5em; list-style-type: square; margin: 0.3em 0px 0px 1.6em; padding: 0px;&quot;&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;
&lt;li style=&quot;margin-bottom: 0.1em;&quot;&gt;System A:&amp;nbsp;&lt;img alt=&quot;y(t) = t\, x(t)&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/c/2/5/c255c19c2be31236c570ec23f9c7af79.png&quot; style=&quot;border: none; vertical-align: middle;&quot; /&gt;&lt;/li&gt;
&lt;li style=&quot;margin-bottom: 0.1em;&quot;&gt;System B:&amp;nbsp;&lt;img alt=&quot;\,\!b(t) = 10 x(t)&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/5/9/e/59e7c6a12b4597f5c105a3db8c6a2148.png&quot; style=&quot;border: none; vertical-align: middle;&quot; /&gt;&lt;/li&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/ul&gt;
&lt;div style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: 1.5em; margin-bottom: 0.5em; margin-top: 0.4em;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;Since system A explicitly depends on&amp;nbsp;&lt;i&gt;t&lt;/i&gt;&amp;nbsp;outside of&amp;nbsp;&lt;img alt=&quot;x(t)&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/f/d/5/fd5f9e2ee180a439aaec015692916a1c.png&quot; style=&quot;border: none; margin: 0px; vertical-align: middle;&quot; /&gt;&amp;nbsp;and&amp;nbsp;&lt;img alt=&quot;y(t)&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/0/7/0/0707669836d19443cf6c5cc89ca963e6.png&quot; style=&quot;border: none; margin: 0px; vertical-align: middle;&quot; /&gt;&amp;nbsp;then it is not&amp;nbsp;&lt;strong class=&quot;selflink&quot;&gt;time-invariant.&lt;/strong&gt;&amp;nbsp;System B, however, does not depend explicitly on&amp;nbsp;&lt;i&gt;t&lt;/i&gt;&amp;nbsp;so it is time-invariant.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;h1 class=&quot;firstHeading&quot; id=&quot;firstHeading&quot; style=&quot;background-image: none; border-bottom-color: rgb(170, 170, 170); border-bottom-style: solid; border-bottom-width: 1px; font-family: &#39;Times New Roman&#39;; font-size: 1.6em; font-weight: normal; line-height: 1.2em; margin: 0px 0px 0.1em; overflow: hidden; padding-bottom: 0px; padding-top: 0px;&quot;&gt;






&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;
&lt;span dir=&quot;auto&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;

&lt;span dir=&quot;auto&quot;&gt;Time-variant system&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/h1&gt;
&lt;div style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: 1.5em;&quot;&gt;
&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;A&amp;nbsp;&lt;b&gt;time-variant system&lt;/b&gt;&amp;nbsp;is a&amp;nbsp;&lt;a href=&quot;http://en.wikipedia.org/wiki/System&quot; style=&quot;background-image: none; color: #0b0080; text-decoration: none;&quot; title=&quot;System&quot;&gt;system&lt;/a&gt;&amp;nbsp;that is not&amp;nbsp;&lt;a href=&quot;http://en.wikipedia.org/wiki/Time-invariant_system&quot; style=&quot;background-image: none; color: #0b0080; text-decoration: none;&quot; title=&quot;Time-invariant system&quot;&gt;time invariant&lt;/a&gt;&amp;nbsp;(TIV). Roughly speaking, characteristics of its output depend explicitly upon time.&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;h2 style=&quot;background-image: none; border-bottom-color: rgb(170, 170, 170); border-bottom-style: solid; border-bottom-width: 1px; font-family: &#39;Times New Roman&#39;; font-size: 19px; font-weight: normal; line-height: 19px; margin: 0px 0px 0.6em; overflow: hidden; padding-bottom: 0.17em; padding-top: 0.5em;&quot;&gt;






&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;
&lt;span dir=&quot;auto&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;

&lt;span style=&quot;font-size: 13px;&quot;&gt;for better understanding of time variant system . Let:&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/h2&gt;
&lt;ul&gt;&lt;span aria-readonly=&quot;true&quot; class=&quot;MathJax&quot; role=&quot;textbox&quot; style=&quot;border: 0px; cursor: pointer; direction: ltr; display: inline; float: none; margin: 0px; padding: 0px; text-align: left; word-wrap: normal;&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span dir=&quot;auto&quot;&gt;
&lt;li style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: 19px; margin-bottom: 0.1em;&quot;&gt;&lt;i&gt;x&lt;/i&gt;(&lt;i&gt;t&lt;/i&gt;) be an excitation&amp;nbsp;&lt;a class=&quot;extiw&quot; href=&quot;http://en.wiktionary.org/wiki/signal&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #663366; text-decoration: none;&quot; title=&quot;wiktionary:signal&quot;&gt;signal&lt;/a&gt;.&lt;/li&gt;
&lt;li style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: 19px; margin-bottom: 0.1em;&quot;&gt;&lt;i&gt;T&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;(&lt;i&gt;t&lt;/i&gt;),&amp;nbsp;&lt;i&gt;t&lt;/i&gt;) be the describe the input–output map of a&amp;nbsp;&lt;a href=&quot;http://en.wikipedia.org/wiki/System&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #0b0080; text-decoration: none;&quot; title=&quot;System&quot;&gt;system&lt;/a&gt;&amp;nbsp;in relaxed state.&lt;/li&gt;
&lt;li style=&quot;margin-bottom: 0.1em;&quot;&gt;&lt;i style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: 19px;&quot;&gt;y&lt;/i&gt;&lt;span style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: 19px;&quot;&gt;(&lt;/span&gt;&lt;i style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: 19px;&quot;&gt;t&lt;/i&gt;&lt;span style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: 19px;&quot;&gt;) be the system&#39;s output response&amp;nbsp;&lt;img alt=&quot;y(t) = T(x(t), t)&quot; class=&quot;tex&quot; src=&quot;http://upload.wikimedia.org/wikipedia/en/math/f/2/5/f250d50159c767566d74b7c4690f052a.png&quot; style=&quot;border: none; vertical-align: middle;&quot; /&gt;&amp;nbsp;to the excitation signal.&lt;/span&gt;&lt;h1 style=&quot;font-family: &#39;Times New Roman&#39;; font-size: 13px; font-weight: normal; line-height: normal;&quot;&gt;









Stable and unstable systems&lt;/h1&gt;
&lt;div style=&quot;font-family: &#39;Times New Roman&#39;; font-size: medium; font-weight: normal; line-height: normal;&quot;&gt;
The&amp;nbsp;&lt;a href=&quot;http://www.blogger.com/blogger.g?blogID=5111326008742027908&quot; name=&quot;9545&quot;&gt;&lt;/a&gt;stability of control systems is an important property. Considering any&amp;nbsp;&lt;a href=&quot;http://www.blogger.com/blogger.g?blogID=5111326008742027908&quot; name=&quot;9546&quot;&gt;&lt;/a&gt;bounded input signal&amp;nbsp;&lt;img align=&quot;MIDDLE&quot; border=&quot;0&quot; height=&quot;28&quot; src=&quot;http://www.atp.ruhr-uni-bochum.de/rt1/syscontrol/img10.gif&quot; width=&quot;33&quot; /&gt;&amp;nbsp;of a system, and if the&amp;nbsp;&lt;a href=&quot;http://www.blogger.com/blogger.g?blogID=5111326008742027908&quot; name=&quot;9548&quot;&gt;&lt;/a&gt;output signal&amp;nbsp;&lt;img align=&quot;MIDDLE&quot; border=&quot;0&quot; height=&quot;28&quot; src=&quot;http://www.atp.ruhr-uni-bochum.de/rt1/syscontrol/img11.gif&quot; width=&quot;34&quot; /&gt;&amp;nbsp;of the system to such a signal is also bounded, then the system is called&amp;nbsp;&lt;em&gt;bounded-input-bounded-output stable&lt;/em&gt;. If the output signal does not show this property, the system is unstable. For illustration see Figure&amp;nbsp;.&lt;/div&gt;
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&lt;h3 style=&quot;font-family: &#39;Times New Roman&#39;; font-size: medium; font-weight: normal; line-height: normal;&quot;&gt;








&lt;span style=&quot;color: #333333; font-family: Georgia, serif; font-size: 26px; text-align: left;&quot;&gt;Types of Transmission Media&lt;/span&gt;&lt;/h3&gt;
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&lt;div align=&quot;CENTER&quot;&gt;
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&lt;span style=&quot;color: #333333; text-align: left;&quot;&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;color: #333333; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-family: Georgia, serif;&quot;&gt;Transmission Media&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;color: #333333; text-align: left;&quot;&gt;
&lt;/span&gt;&lt;br /&gt;
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&lt;div class=&quot;separator&quot; style=&quot;clear: both; font-family: Arial, Helvetica, sans-serif; font-size: 14px; font-weight: normal; line-height: 18px; text-align: center;&quot;&gt;
&lt;span style=&quot;color: #333333; text-align: left;&quot;&gt;&lt;a href=&quot;http://s3.hubimg.com/u/2390882_f260.jpg&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;img alt=&quot;Coaxial cable&quot; border=&quot;0&quot; src=&quot;http://s3.hubimg.com/u/2390882_f260.jpg&quot; style=&quot;background-color: white;&quot; /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; font-weight: normal; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;color: #333333; text-align: left;&quot;&gt;The means through which data is transformed from one place to another is called transmission or communication media. There are two categories of transmission media used in computer&amp;nbsp;&lt;span style=&quot;background-color: white;&quot;&gt;communications&lt;/span&gt;&lt;span style=&quot;background-color: white;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-weight: normal; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;color: #333333; text-align: left;&quot;&gt;&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;1.GUIDED MEDIA/BOUNDED MEDIA&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;color: #333333; text-align: left;&quot;&gt;&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;2.UNGUIDED &lt;/span&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;/UNBOUNDED MEDIA&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;color: #333333; text-align: left;&quot;&gt;&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;/span&gt;&lt;/strong&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;color: #333333; text-align: left;&quot;&gt;&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;Bounded media are the physical links through which signals are confined to narrow path. These are also called guide media. Bounded media are made up o a external conductor (Usually Copper) bounded by jacket material. Bounded media are great for LABS because they offer high speed, good security and low cast. However, some time they cannot be used due distance communication. Three common types of bounded media are used of the data transmission. These are&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;ul style=&quot;list-style-type: disc; margin: 0px 0px 0.75em 2em; padding: 0px;&quot;&gt;&lt;span style=&quot;color: #333333; text-align: left;&quot;&gt;
&lt;li style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; font-weight: normal; line-height: 18px; margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;Coaxial Cable&lt;/span&gt;&lt;/strong&gt;&lt;/li&gt;
&lt;li style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; font-weight: normal; line-height: 18px; margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;Twisted Pairs Cable&lt;/span&gt;&lt;/strong&gt;&lt;/li&gt;
&lt;li style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 18px; margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Fiber Optics Cable&lt;/span&gt;&lt;/span&gt;&lt;/strong&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;strong style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 12px; font-weight: bold; line-height: 18px; margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;ul style=&quot;display: inline !important; font-size: 14px; font-weight: normal; list-style-type: disc; margin: 0px 0px 0.75em 2em; padding: 0px;&quot;&gt;
&lt;li style=&quot;display: inline !important; margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;div style=&quot;display: inline !important; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;1.COAXIAL CABLE:&lt;/strong&gt;&lt;/div&gt;
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&lt;/span&gt;&lt;/strong&gt;&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; font-weight: normal; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
Coaxial cable is very common &amp;amp; widely used commutation media. For example TV wire is usually coaxial.&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; font-weight: normal; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
Coaxial cable gets its name because it contains two conductors that are parallel to each other. The center conductor in the cable is usually copper. The copper can be either a solid wire or stranded martial.&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; font-weight: normal; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
Outside this central Conductor is a non-conductive material. It is usually white, plastic material used to separate the inner Conductor form the outer Conductor. The other Conductor is a fine mesh made from Copper. It is used to help shield the cable form EMI.&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; font-weight: bold; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; font-weight: normal; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;ADVANTAGES COAXIAL CABLE&lt;/strong&gt;&lt;/div&gt;
&lt;ul style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; font-weight: normal; line-height: 18px; list-style-type: disc; margin: 0px 0px 0.75em 2em; padding: 0px;&quot;&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;Inexpensive&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;Easy to wire&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;Easy to expand&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;Moderate level of EMI immunity&lt;/li&gt;
&lt;/ul&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; font-weight: normal; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;DISADVANTAGE COAXIAL CABLE&lt;/strong&gt;&lt;/div&gt;
&lt;ul style=&quot;list-style-type: disc; margin: 0px 0px 0.75em 2em; padding: 0px;&quot;&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; font-weight: normal; line-height: 18px;&quot;&gt;Single cable failure can take down an entire network&lt;/span&gt;&lt;h3 style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; font-weight: normal; line-height: 18px;&quot;&gt;








Twisted Pair Cable&lt;/h3&gt;
&lt;div class=&quot;txtd&quot; id=&quot;txtd_6271621&quot; style=&quot;margin: 0px; padding: 0px; word-wrap: break-word;&quot;&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; font-weight: normal; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
The most popular network cabling is Twisted pair. It is light weight, easy to install, inexpensive and support many different types of network. It also supports the speed of&amp;nbsp;&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;100 mps.&lt;/strong&gt;Twisted pair cabling is made of pairs of solid or stranded copper twisted along each other. The twists are done to reduce vulnerably to EMI and cross talk. The number of pairs in the cable depends on the type. The copper core is usually&amp;nbsp;&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;22-AWG or 24-AWG, as&lt;/strong&gt;&amp;nbsp;measured on the American wire gauge standard. There are two types of twisted pairs cabling&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; font-weight: normal; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;1. Unshielded twisted pair (UTP)&lt;/strong&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; font-weight: normal; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;2. Shielded twisted pair (STP)&lt;/strong&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; font-weight: bold; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;/strong&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; font-weight: normal; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;&amp;nbsp;&lt;u style=&quot;margin: 0px; padding: 0px;&quot;&gt;Unshielded twisted pair (UTP)&lt;/u&gt;&lt;/strong&gt;&lt;/strong&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;UTP is more common. It can be either voice grade or data grade depending on the condition. UTP cable normally has an impedance of 100 ohm. UTP cost less than STP and easily available due to its many use.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; font-weight: normal; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;strong style=&quot;background-color: white; font-size: 12px; margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;/span&gt;&lt;/strong&gt;&lt;/strong&gt;&lt;/div&gt;
&lt;ul style=&quot;display: inline !important; font-family: Arial, Helvetica, sans-serif; font-size: medium; font-weight: bold; line-height: 18px; list-style-type: disc; margin: 0px 0px 0.75em 2em; padding: 0px;&quot;&gt;
&lt;li style=&quot;display: inline !important; margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;div style=&quot;display: inline !important; font-weight: normal; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;/div&gt;
&lt;ul style=&quot;display: inline !important; list-style-type: disc; margin: 0px 0px 0.75em 2em; padding: 0px;&quot;&gt;
&lt;li style=&quot;display: inline !important; margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;div class=&quot;txtd&quot; id=&quot;txtd_6271621&quot; style=&quot;display: inline !important; margin: 0px; padding: 0px; word-wrap: break-word;&quot;&gt;
&lt;div style=&quot;display: inline !important; font-size: 14px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;strong style=&quot;background-color: white; font-size: 12px; margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;/strong&gt;&lt;/span&gt;&lt;/strong&gt;&lt;/strong&gt;&lt;/div&gt;
&lt;div style=&quot;display: inline !important; font-weight: normal; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;display: inline !important; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;display: inline !important; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;strong style=&quot;background-color: white; font-size: 12px; margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;strong style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;u style=&quot;margin: 0px; padding: 0px;&quot;&gt;Characteristics of UTP&lt;/u&gt;&lt;/strong&gt;&lt;/strong&gt;&lt;/span&gt;&lt;/strong&gt;&lt;/strong&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; line-height: 18px;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;/div&gt;
&lt;ul style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; line-height: 18px; list-style-type: disc; margin: 0px 0px 0.75em 2em; padding: 0px;&quot;&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;&amp;nbsp;low cost&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;easy to install&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;High speed capacity&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;High attenuation&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;Effective to EMI&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;100 meter limit&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;&lt;u style=&quot;margin: 0px; padding: 0px;&quot;&gt;Advantages of UTP&lt;/u&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;ul style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; line-height: 18px; list-style-type: disc; margin: 0px 0px 0.75em 2em; padding: 0px;&quot;&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;Easy installation&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;Capable of high speed for LAN&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;Low cost&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;&lt;u style=&quot;margin: 0px; padding: 0px;&quot;&gt;Disadvantages of UTP&lt;/u&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;ul style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; line-height: 18px; list-style-type: disc; margin: 0px 0px 0.75em 2em; padding: 0px;&quot;&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;Short distance due to attenuation&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px;&quot;&gt;
&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-size: small;&quot;&gt;&amp;nbsp;&lt;strong style=&quot;font-weight: bold; margin: 0px; padding: 0px;&quot;&gt;&lt;u style=&quot;margin: 0px; padding: 0px;&quot;&gt;Shielded twisted pair (STP)&lt;/u&gt;&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; font-weight: bold; line-height: 18px;&quot;&gt;
&lt;/div&gt;
&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; font-weight: normal; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; font-weight: normal; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;It is similar to UTP but has a mesh shielding that’s protects it from EMI which allows for higher transmission rate.&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: medium; font-weight: normal; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;/div&gt;
&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;h2 class=&quot;subtitle&quot; style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 1.2em; line-height: normal; margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;



&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;




&lt;span style=&quot;font-weight: normal;&quot;&gt;Characteristics of STP&lt;/span&gt;&lt;/span&gt;&lt;/h2&gt;
&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;
&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;txtd&quot; id=&quot;txtd_6271634&quot; style=&quot;font-size: medium; margin: 0px; padding: 0px; word-wrap: break-word;&quot;&gt;
&lt;ul style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; list-style-type: disc; margin: 0px 0px 0.75em 2em; padding: 0px;&quot;&gt;&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Medium cost&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Easy to install&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Higher capacity than UTP&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Higher attenuation, but same as UTP&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Medium immunity from EMI&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;100 meter limit&lt;/span&gt;&lt;/li&gt;
&lt;/span&gt;&lt;/ul&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;&lt;u style=&quot;margin: 0px; padding: 0px;&quot;&gt;Advantages of STP:&lt;/u&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;ul style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; list-style-type: disc; margin: 0px 0px 0.75em 2em; padding: 0px;&quot;&gt;&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Shielded&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Faster than UTP and coaxial&lt;/span&gt;&lt;/li&gt;
&lt;/span&gt;&lt;/ul&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;&lt;u style=&quot;margin: 0px; padding: 0px;&quot;&gt;Disadvantages of STP:&lt;/u&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;ul style=&quot;list-style-type: disc; margin: 0px 0px 0.75em 2em; padding: 0px;&quot;&gt;&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;
&lt;li style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;More expensive than UTP and coaxial&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;More difficult installation&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; font-weight: normal; line-height: 18px;&quot;&gt;High attenuation rate&lt;/span&gt;&lt;h3 style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px;&quot;&gt;








Fiber Optics&lt;/h3&gt;
&lt;div class=&quot;txtd&quot; id=&quot;txtd_6271814&quot; style=&quot;margin: 0px; padding: 0px; word-wrap: break-word;&quot;&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;font-weight: normal;&quot;&gt;Fiber optic cable uses electrical signals to transmit data. It uses light. In fiber optic cable light only moves in one direction for two way communication to take place a second connection must be made between the two devices. It is actually two stands of cable. Each stand is responsible for one direction of communication. A laser at one device sends pulse of light through this cable to other device. These pulses translated into “&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;1’s&lt;/span&gt;” and “&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;0’s&lt;/span&gt;” at the other end.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;font-weight: normal;&quot;&gt;In the center of fiber cable is a glass stand or core. The light from the laser moves through this glass to the other device around the internal core is a reflective material known as&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;CLADDING&lt;/span&gt;. No light escapes the glass core because of this reflective&amp;nbsp;&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;cladding.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;font-weight: normal;&quot;&gt;Fiber optic cable has bandwidth more than&amp;nbsp;&lt;span style=&quot;margin: 0px; padding: 0px;&quot;&gt;2 gbps (Gigabytes per Second)&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;&lt;u style=&quot;margin: 0px; padding: 0px;&quot;&gt;Characteristics Of Fiber Optic Cable:&lt;/u&gt;&lt;/span&gt;&lt;/div&gt;
&lt;ul style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; list-style-type: disc; margin: 0px 0px 0.75em 2em; padding: 0px;&quot;&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Expensive&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Very hard to install&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Capable of extremely high speed&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Extremely low attenuation&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;No EMI interference&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;&lt;u style=&quot;margin: 0px; padding: 0px;&quot;&gt;Advantages Of Fiber Optic Cable:&lt;/u&gt;&lt;/span&gt;&lt;/div&gt;
&lt;ul style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; list-style-type: disc; margin: 0px 0px 0.75em 2em; padding: 0px;&quot;&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Fast&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Low attenuation&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;No EMI interference&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;div style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; margin-bottom: 0.75em; padding: 0px;&quot;&gt;
&lt;span style=&quot;font-weight: normal; margin: 0px; padding: 0px;&quot;&gt;&lt;u style=&quot;margin: 0px; padding: 0px;&quot;&gt;Disadvantages Fiber Optics:&lt;/u&gt;&lt;/span&gt;&lt;/div&gt;
&lt;ul style=&quot;list-style-type: disc; margin: 0px 0px 0.75em 2em; padding: 0px;&quot;&gt;
&lt;li style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px; margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Very costly&lt;/span&gt;&lt;/li&gt;
&lt;li style=&quot;margin: 0px 0px 0.5em; padding: 0px;&quot;&gt;&lt;span style=&quot;font-family: Arial, Helvetica, sans-serif; font-weight: normal; line-height: 18px;&quot;&gt;Hard to install&lt;/span&gt;&lt;h3 style=&quot;font-family: Arial, Helvetica, sans-serif; line-height: 18px;&quot;&gt;







&lt;/h3&gt;
&lt;ul style=&quot;border: 0px; color: black; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;&quot;&gt;
&lt;li class=&quot;step &quot; style=&quot;border: 0px; font-style: inherit; list-style: none; margin: 0px 0px 20px; outline: 0px; padding: 0px; vertical-align: baseline;&quot;&gt;&lt;div class=&quot;stepMeat&quot; style=&quot;border: 0px; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;&quot;&gt;
&lt;div itemprop=&quot;step&quot; style=&quot;border: 0px; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;&quot;&gt;
&lt;h3 style=&quot;color: #333333; font-family: inherit; font-weight: normal; line-height: 18px;&quot;&gt;







Unbounded Transmission Media&lt;/h3&gt;
&lt;div style=&quot;border: 0px; font-family: Georgia; font-size: 15px; font-style: inherit; font-weight: normal; line-height: 1.5; margin-bottom: 10px; margin-top: 10px; outline: 0px; padding: 0px; vertical-align: baseline;&quot;&gt;
Unbounded transmission of media is achieved by using antennas and other transmitters that allow waves of media to be wirelessly transferred from one station to another. This is most often used in television, radio or other forms of broadcast media. Wireless waves can carry sky waves or surface waves.&lt;/div&gt;
&lt;div style=&quot;border: 0px; font-family: Georgia; font-size: 15px; font-style: inherit; font-weight: normal; line-height: 1.5; margin-bottom: 10px; margin-top: 10px; outline: 0px; padding: 0px; vertical-align: baseline;&quot;&gt;
types of unbounded&lt;/div&gt;
&lt;div style=&quot;border: 0px; font-family: Georgia; font-size: 15px; font-style: inherit; line-height: 1.5; margin-bottom: 10px; margin-top: 10px; outline: 0px; padding: 0px; vertical-align: baseline;&quot;&gt;
1.Radio wave transmission:&lt;/div&gt;
&lt;div style=&quot;border: 0px; font-family: Georgia; font-size: 15px; font-style: inherit; font-weight: normal; line-height: 1.5; margin-bottom: 10px; margin-top: 10px; outline: 0px; padding: 0px; vertical-align: baseline;&quot;&gt;
&lt;b style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;Radio&lt;/b&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;is the&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Transmission_(telecommunications)&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Transmission (telecommunications)&quot;&gt;transmission&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;of signals through free space by&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Electromagnetic_radiation&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Electromagnetic radiation&quot;&gt;electromagnetic waves&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;with&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Frequency&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Frequency&quot;&gt;frequencies&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;significantly below&amp;nbsp;&lt;/span&gt;&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/Visible_light&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Visible light&quot;&gt;visible light&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;, in the&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Radio_frequency&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Radio frequency&quot;&gt;radio frequency&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;range, from about 3&amp;nbsp;kHz to 300&amp;nbsp;GHz.&lt;/span&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;These waves are called&amp;nbsp;&lt;/span&gt;&lt;i style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/Radio_wave&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #0b0080; text-decoration: none;&quot; title=&quot;Radio wave&quot;&gt;radio waves&lt;/a&gt;&lt;/i&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;. Electromagnetic radiation&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Radio_propagation&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Radio propagation&quot;&gt;travels&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;by means of oscillating&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Electromagnetic_field&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Electromagnetic field&quot;&gt;electromagnetic fields&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;that pass through the air and the&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Vacuum&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Vacuum&quot;&gt;vacuum&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;of space.&lt;/span&gt;
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2.Microwave transmission:&lt;/div&gt;
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&lt;b style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;Microwave transmission&lt;/b&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;refers to the technology of&amp;nbsp;&lt;/span&gt;&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/Transmit&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Transmit&quot;&gt;transmitting&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;information or energy by the use of&amp;nbsp;&lt;/span&gt;&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/Radio_wave&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Radio wave&quot;&gt;radio waves&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;whose&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Wavelength&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Wavelength&quot;&gt;wavelengths&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;are conveniently measured in small numbers of centimetre; these are called&amp;nbsp;&lt;/span&gt;&lt;i style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Microwave&quot; style=&quot;background-image: none; background-position: initial initial; background-repeat: initial initial; color: #0b0080; text-decoration: none;&quot; title=&quot;Microwave&quot;&gt;microwaves&lt;/a&gt;&lt;/i&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;. This part of the&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Radio_spectrum&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Radio spectrum&quot;&gt;radio spectrum&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;ranges across&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Frequency&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Frequency&quot;&gt;frequencies&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;of roughly 1.0&amp;nbsp;&lt;/span&gt;&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/Gigahertz&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Gigahertz&quot;&gt;gigahertz&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;(GHz) to 30&amp;nbsp;&lt;/span&gt;&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/GHz&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;GHz&quot;&gt;GHz&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; line-height: 19px; text-align: -webkit-auto;&quot;&gt;. These correspond to wavelengths from 30&amp;nbsp;centimeters down to 1.0&amp;nbsp;cm.&lt;/span&gt;
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3.infrared transmission:&lt;/div&gt;
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&lt;span style=&quot;font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 19px; text-align: -webkit-auto;&quot;&gt;IR data transmission is &amp;nbsp;employed in short-range communication among computer peripherals and&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Personal_digital_assistant&quot; style=&quot;background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 19px; text-align: -webkit-auto;&quot; title=&quot;Personal digital assistant&quot;&gt;personal digital assistants&lt;/a&gt;&lt;span style=&quot;font-family: sans-serif; font-size: 13px; font-weight: normal; line-height: 19px; text-align: -webkit-auto;&quot;&gt;.infrared waves having the&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; font-style: inherit; font-weight: normal; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Frequency_spectrum&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; font-style: inherit; font-weight: normal; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Frequency spectrum&quot;&gt;frequency&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; font-style: inherit; font-weight: normal; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;range of approximately 1 to 400&amp;nbsp;&lt;/span&gt;&lt;a class=&quot;mw-redirect&quot; href=&quot;http://en.wikipedia.org/wiki/THz&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; font-style: inherit; font-weight: normal; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;THz&quot;&gt;THz&lt;/a&gt;&amp;nbsp;&lt;span style=&quot;font-weight: normal;&quot;&gt;and wavelength&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; font-style: inherit; font-weight: normal; line-height: 19px; text-align: -webkit-auto;&quot;&gt;extending from the nominal&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Red&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; font-style: inherit; font-weight: normal; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Red&quot;&gt;red&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; font-style: inherit; font-weight: normal; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;edge of the visible&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Spectrum&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; font-style: inherit; font-weight: normal; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Spectrum&quot;&gt;spectrum&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; font-style: inherit; font-weight: normal; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;at 0.74&amp;nbsp;&lt;/span&gt;&lt;a href=&quot;http://en.wikipedia.org/wiki/Micrometre&quot; style=&quot;background-color: white; background-image: none; color: #0b0080; font-family: sans-serif; font-size: 13px; font-style: inherit; font-weight: normal; line-height: 19px; text-align: -webkit-auto; text-decoration: none;&quot; title=&quot;Micrometre&quot;&gt;micrometres&lt;/a&gt;&lt;span style=&quot;background-color: white; font-family: sans-serif; font-size: 13px; font-style: inherit; font-weight: normal; line-height: 19px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;(µm) to 300&amp;nbsp;µm.&lt;/span&gt;&lt;/div&gt;
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&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://mudgalbrajnesh.blogspot.com/feeds/3752066032388040340/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/05/analog-communication.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/3752066032388040340'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/3752066032388040340'/><link rel='alternate' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/05/analog-communication.html' title='analog communication'/><author><name>Brajnesh Mudgal (lucky)</name><uri>http://www.blogger.com/profile/17678111974692335467</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiW7TfkTLE9uAkQPSmfPD2nhEeLJZFjie81guyt24ELed5IzlYfgJOOU7VrzhAYKq22IrPy1yZyChp2dtEBuFmaSlzoTRAjAhwgkrXf7sx8aTHMYXxomLKDFzJh3UKe5g/s220/DSC_0529.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEglS2pFHzrH8bClTpe5MyfzJ1qzYPQ8vCGMbAZw2oLudvkX2L4e3Zq32B1RvloZnfIKCT5pM01pD5gK9zx4gzAO_ApmLp3dOFxrhYa2TGIro1a-2PFEasfvcJnOxlvgvfzOQHB147X1Z_8/s72-c/images.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-5111326008742027908.post-4356109594051074691</id><published>2012-05-14T07:08:00.000-07:00</published><updated>2012-05-14T07:08:18.770-07:00</updated><title type='text'>Pipelining Processors</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
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&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLpttkH0LFGPC5UZ6liJDJkKdUuDSgwP4MqAT9gZjs_CuJQ8-T7ItgOCbQaxiZfekWC3wa45weQO-Ux5spZV86cleN4MigXhBBStq5CgBCkVYOA03Y_qYWlUAuUfzJGSOGRFh5NaWmTWI/s1600/PGC_Pipeline_Facility_Data.jpg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;150&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLpttkH0LFGPC5UZ6liJDJkKdUuDSgwP4MqAT9gZjs_CuJQ8-T7ItgOCbQaxiZfekWC3wa45weQO-Ux5spZV86cleN4MigXhBBStq5CgBCkVYOA03Y_qYWlUAuUfzJGSOGRFh5NaWmTWI/s200/PGC_Pipeline_Facility_Data.jpg&quot; width=&quot;200&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
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&lt;span style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px;&quot;&gt;Pipelining is a particularly effective way of organizing parallel activity in a computer system. The basic idea is very simple. It is frequently encountered in manufacturing plants, where pipelining is commonly known as an assembly line operation.&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px;&quot;&gt;By laying the production process out in an assembly line, product at various stages can be worked on simultaneously. This process is also referred to as pipelining, because, as in a pipeline, new inputs are accepted at one end before previously accepted inputs appear as outputs at the other end.&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Georgia, &#39;Times New Roman&#39;, serif;&quot;&gt;In simple words we can say&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Georgia, &#39;Times New Roman&#39;, serif; font-size: large;&quot;&gt;&lt;b&gt;Pipelining is a technique of decomposing a&amp;nbsp;sequential&amp;nbsp;process into&amp;nbsp;sub-operation&amp;nbsp;with each&amp;nbsp;sub-operation&amp;nbsp;being executed in specially dedicated segments that operate concurrently with each other.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Georgia, &#39;Times New Roman&#39;, serif; font-size: large;&quot;&gt;&lt;b&gt;Instruction pipelininig&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Georgia, &#39;Times New Roman&#39;, serif; font-size: large;&quot;&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px;&quot;&gt;Let&amp;nbsp;&lt;/span&gt;&lt;img align=&quot;absmiddle&quot; height=&quot;24&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn1.gif&quot; style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px;&quot; width=&quot;17&quot; /&gt;&lt;span style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px;&quot;&gt;&amp;nbsp;and&amp;nbsp;&lt;/span&gt;&lt;img align=&quot;absmiddle&quot; height=&quot;24&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn2.gif&quot; style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px;&quot; width=&quot;18&quot; /&gt;&lt;span style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px;&quot;&gt;&amp;nbsp;refer to the fetch and execute steps for instruction&amp;nbsp;&lt;/span&gt;&lt;img align=&quot;absmiddle&quot; height=&quot;24&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn3.gif&quot; style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px;&quot; width=&quot;14&quot; /&gt;&lt;span style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px;&quot;&gt;&amp;nbsp;. Execution of a program consists of a sequence of fetch and execute steps is shown in the Figure&amp;nbsp;&lt;/span&gt;
&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot;&gt;
&lt;a href=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/pic/pipeline1.gif&quot; imageanchor=&quot;1&quot; style=&quot;clear: left; float: left; margin-bottom: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;198&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/pic/pipeline1.gif&quot; style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot; width=&quot;420&quot; /&gt;&lt;/a&gt;&lt;strong&gt;&lt;/strong&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot;&gt;
&lt;strong&gt;&lt;strong&gt;&lt;br /&gt;&lt;/strong&gt;&lt;/strong&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot;&gt;
&lt;strong&gt;&lt;strong&gt;&lt;br /&gt;&lt;/strong&gt;&lt;/strong&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot;&gt;
&lt;strong&gt;&lt;strong&gt;&lt;br /&gt;&lt;/strong&gt;&lt;/strong&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot;&gt;
&lt;strong&gt;&lt;strong&gt;&lt;br /&gt;&lt;/strong&gt;&lt;/strong&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot;&gt;
&lt;strong&gt;&lt;strong&gt;&lt;br /&gt;&lt;/strong&gt;&lt;/strong&gt;&lt;/div&gt;
&lt;strong&gt;Figure :&amp;nbsp;&lt;/strong&gt;Sequential Execution.&lt;br /&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot;&gt;
&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
Now consider a CPU that has two separate hardware units, one for fetching instructions and another for executing them.&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
The instruction fetch by the fetch unit is stored in an intermediate storage buffer&amp;nbsp;&lt;img align=&quot;absmiddle&quot; height=&quot;17&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn4.gif&quot; width=&quot;21&quot; /&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
The results of execution are stored in the destination location specified by the instruction.&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
For simplicity it is assumed that fetch and execute steps of any instruction can be completed in one clock cycle.&lt;/div&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
The operation of the computer proceeds as follows:&lt;/div&gt;
&lt;ul style=&quot;text-align: justify;&quot;&gt;
&lt;li style=&quot;clear: left; float: left; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;a href=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/pic/pipeline2.gif&quot; imageanchor=&quot;1&quot; style=&quot;clear: right; float: right; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;192&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/pic/pipeline2.gif&quot; style=&quot;font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot; width=&quot;411&quot; /&gt;&lt;/a&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;Both the fetch and execute units are kept busy all the time and one instruction is completed after each clock cycle except the first clock cycle.&lt;/span&gt;
&lt;span style=&quot;font-size: 14px;&quot;&gt;If a long sequence of instructions is executed, the completion rate of instruction execution will be twice that achievable by the sequential operation with only one unit that performs both fetch and execute.&lt;/span&gt;&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px; text-align: -webkit-center;&quot;&gt;
&lt;strong&gt;Figure :&amp;nbsp;&lt;/strong&gt;Hardware Organization&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: justify;&quot;&gt;
1. &amp;nbsp;&lt;span style=&quot;font-size: 14px;&quot;&gt;In the first clock cycle, the fetch unit fetches an instruction (instruction&lt;img align=&quot;absmiddle&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn5.gif&quot; /&gt;&amp;nbsp;, step&amp;nbsp;&lt;img align=&quot;absmiddle&quot; height=&quot;24&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn6.gif&quot; width=&quot;17&quot; /&gt;&amp;nbsp;) and stored it in buffer&amp;nbsp;&lt;img align=&quot;absmiddle&quot; height=&quot;24&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn7.gif&quot; width=&quot;17&quot; /&gt;&amp;nbsp;&amp;nbsp; at the end of the clock cycle.
&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: 14px;&quot;&gt;2. &amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;In the second clock cycle, the instruction fetch unit proceeds with the fetch operation for instruction&amp;nbsp;&lt;/span&gt;&lt;img align=&quot;absmiddle&quot; height=&quot;24&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn8.gif&quot; style=&quot;font-size: 14px;&quot; width=&quot;17&quot; /&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;&amp;nbsp;(step&amp;nbsp;&lt;/span&gt;&lt;img align=&quot;absmiddle&quot; height=&quot;24&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn9.gif&quot; style=&quot;font-size: 14px;&quot; width=&quot;18&quot; /&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;&amp;nbsp;).&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: 14px;&quot;&gt;3.&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;Meanwhile, the execution unit performs the operation specified by instruction&amp;nbsp;&lt;/span&gt;&lt;img align=&quot;absmiddle&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn5.gif&quot; style=&quot;font-size: 14px;&quot; /&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;&amp;nbsp;which is already fetched and available in the buffer&lt;/span&gt;&lt;img align=&quot;absmiddle&quot; height=&quot;24&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn7.gif&quot; style=&quot;font-size: 14px;&quot; width=&quot;17&quot; /&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;&amp;nbsp;(step&amp;nbsp;&lt;/span&gt;&lt;img align=&quot;absmiddle&quot; height=&quot;24&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn10.gif&quot; style=&quot;font-size: 14px;&quot; width=&quot;18&quot; /&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;).&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: 14px;&quot;&gt;4.&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;By the end of the second clock cycle, the execution of the instruction &lt;/span&gt;&lt;img align=&quot;absmiddle&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn5.gif&quot; style=&quot;font-size: 14px;&quot; /&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;&amp;nbsp;is completed and instruction&amp;nbsp;&lt;/span&gt;&lt;img align=&quot;absmiddle&quot; height=&quot;24&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn8.gif&quot; style=&quot;font-size: 14px;&quot; width=&quot;17&quot; /&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;&amp;nbsp;is available.&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: 14px;&quot;&gt;5. i&lt;/span&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;nstruction&amp;nbsp;&lt;/span&gt;&lt;img align=&quot;absmiddle&quot; height=&quot;24&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn8.gif&quot; style=&quot;font-size: 14px;&quot; width=&quot;17&quot; /&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;&amp;nbsp;is stored in buffer&amp;nbsp;&lt;/span&gt;&lt;img align=&quot;absmiddle&quot; height=&quot;24&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn7.gif&quot; style=&quot;font-size: 14px;&quot; width=&quot;17&quot; /&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;&amp;nbsp;replacing&amp;nbsp;&lt;/span&gt;&lt;img align=&quot;absmiddle&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn5.gif&quot; style=&quot;font-size: 14px;&quot; /&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;&amp;nbsp;,&amp;nbsp; which is no longer needed.&lt;/span&gt;&lt;span style=&quot;background-color: transparent;&quot;&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: 14px;&quot;&gt;6. &lt;/span&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;Step&amp;nbsp;&lt;/span&gt;&lt;img align=&quot;absmiddle&quot; height=&quot;24&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn12.gif&quot; style=&quot;font-size: 14px;&quot; width=&quot;20&quot; /&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;&amp;nbsp;is performed by the execution unit during the third clock cycle, while instruction&amp;nbsp;&lt;/span&gt;&lt;img align=&quot;absmiddle&quot; height=&quot;24&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/equn/eqn13.gif&quot; style=&quot;font-size: 14px;&quot; width=&quot;16&quot; /&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;&amp;nbsp;is being fetched by the fetch unit.&lt;/span&gt;&lt;span style=&quot;background-color: transparent;&quot;&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: 14px;&quot;&gt;7.&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;Both the fetch and execute units are kept busy all the time and one instruction is completed after each clock cycle except the first clock cycle.&lt;/span&gt;&lt;span style=&quot;background-color: transparent;&quot;&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: 14px;&quot;&gt;8.&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-size: 14px;&quot;&gt;If a long sequence of instructions is executed, the completion rate of instruction execution will be twice that achievable by the sequential operation with only one unit that performs both fetch and execute.&lt;/span&gt;&lt;span style=&quot;background-color: transparent;&quot;&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: 14px;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: 14px;&quot;&gt;Basic idea of instruction pipelining with hardware organization is shown in the Figure above&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: 14px;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: 14px;&quot;&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: -webkit-center;&quot;&gt;
&lt;img height=&quot;275&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/pic/pipeline3.gif&quot; width=&quot;420&quot; /&gt;&lt;/div&gt;
&lt;div style=&quot;text-align: -webkit-center;&quot;&gt;
&lt;strong&gt;Figure :&amp;nbsp;&lt;/strong&gt;Pipeline Execution.&lt;/div&gt;
&lt;div style=&quot;text-align: -webkit-center;&quot;&gt;
&lt;/div&gt;
&lt;blockquote style=&quot;text-align: justify;&quot;&gt;
The processing of an instruction need not be divided into only two steps. To gain further speed up, the pipeline must have more stages.&lt;br /&gt;
Let us consider the following decomposition of the instruction execution:&lt;/blockquote&gt;
&lt;ul style=&quot;text-align: justify;&quot;&gt;
&lt;li&gt;Fetch&amp;nbsp;&lt;span class=&quot;style63&quot; style=&quot;font-family: Georgia, &#39;Times New Roman&#39;, Times, serif;&quot;&gt;I&lt;/span&gt;nstruction (FI): Read the next expected instruction into a buffer.&lt;/li&gt;
&lt;br /&gt;
&lt;li&gt;Decode&amp;nbsp;&lt;span class=&quot;style63&quot; style=&quot;font-family: Georgia, &#39;Times New Roman&#39;, Times, serif;&quot;&gt;I&lt;/span&gt;nstruction ((DI): Determine the opcode and the operand specifiers.&lt;/li&gt;
&lt;br /&gt;
&lt;li&gt;Calculate Operand (CO): calculate the effective address of each source operand.&lt;/li&gt;
&lt;br /&gt;
&lt;li&gt;Fetch Operands(FO): Fetch each operand from memory.&lt;/li&gt;
&lt;br /&gt;
&lt;li&gt;Execute&amp;nbsp;&lt;span class=&quot;style63&quot; style=&quot;font-family: Georgia, &#39;Times New Roman&#39;, Times, serif;&quot;&gt;I&lt;/span&gt;nstruction (EI): Perform the indicated operation.&lt;/li&gt;
&lt;br /&gt;
&lt;li&gt;Write Operand(WO): Store the result in memory.&lt;/li&gt;
&lt;/ul&gt;
&lt;blockquote style=&quot;text-align: justify;&quot;&gt;
There will be six different stages for these six subtasks. For the sake of simplicity, let us assume the equal duration to perform all the subtasks. It the six stages are not of equal duration, there will be some waiting involved at various pipeline stages.&lt;br /&gt;
The timing diagram for the execution of instruction in pipeline fashion is shown in the Figure&lt;/blockquote&gt;
&lt;br /&gt;
&lt;blockquote style=&quot;text-align: justify;&quot;&gt;
&lt;img height=&quot;368&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_01/pic/pipeline4.gif&quot; style=&quot;text-align: -webkit-center;&quot; width=&quot;450&quot; /&gt;&lt;br /&gt;
&lt;strong style=&quot;text-align: -webkit-center;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;Figure :&lt;/strong&gt;&lt;span style=&quot;text-align: -webkit-center;&quot;&gt;&amp;nbsp;Timing sequence in pipeline execution.&lt;/span&gt;&lt;/blockquote&gt;
&lt;div style=&quot;text-align: justify;&quot;&gt;
From this timing diagram it is clear that the total execution time of 8 instructions in this 6 stages pipeline is 13-time unit. The first instruction gets completed after 6 time unit, and there after in each time unit it completes one instruction.&lt;/div&gt;
&lt;span style=&quot;text-align: justify;&quot;&gt;Without pipeline, the total time required to complete 8 instructions would have been 48 (6 X 8) time unit. Therefore, there is a speed up in pipeline processing and the speed up is related to the number of stages.&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;font-size: large;&quot;&gt;Performance Issue&lt;/span&gt;&lt;/li&gt;
&lt;div style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px;&quot;&gt;
Now suppose that&amp;nbsp;&lt;em&gt;n&lt;/em&gt;&amp;nbsp;instructions are processed and these instructions are executed one after another. The total time required&lt;img align=&quot;absmiddle&quot; height=&quot;25&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_02/equn/eqn9.gif&quot; width=&quot;20&quot; /&gt;&amp;nbsp;to execute all&amp;nbsp;&lt;em&gt;n&lt;/em&gt;&amp;nbsp;instructions is&lt;/div&gt;
&lt;div align=&quot;center&quot; style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px;&quot;&gt;
&lt;img height=&quot;29&quot; src=&quot;http://nptel.iitm.ac.in/courses/Webcourse-contents/IIT-%20Guwahati/comp_org_arc/web/module09_pipeline/lect_02/equn/eqn10.gif&quot; width=&quot;121&quot; /&gt;&lt;/div&gt;
&lt;div align=&quot;center&quot; style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 14px;&quot;&gt;
&lt;span style=&quot;text-align: justify;&quot;&gt;The time required to execute&amp;nbsp;&lt;/span&gt;&lt;em style=&quot;text-align: justify;&quot;&gt;n&lt;/em&gt;&lt;span style=&quot;text-align: justify;&quot;&gt;&amp;nbsp;instructions without pipeline is&amp;nbsp;Ti&lt;/span&gt;&lt;/div&gt;
&lt;div align=&quot;center&quot; style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: 14px;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;
&lt;div align=&quot;center&quot; style=&quot;background-color: white; font-family: Arial, Helvetica, sans-serif; text-align: justify;&quot;&gt;
&lt;span style=&quot;font-size: 14px;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt; &amp;nbsp;speed up = Ti/Tk&lt;/div&gt;
&lt;h3&gt;

&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif; font-size: large;&quot;&gt;Primary conflicts for instruction pipelining&lt;/span&gt;&lt;/h3&gt;
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&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif; font-size: large;&quot;&gt;1.Resource conflict: &amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;Caused by access to memory by two segments at the same time.&lt;/span&gt;&lt;/div&gt;
&lt;span style=&quot;background-color: white; font-family: Times, &#39;Times New Roman&#39;, serif; text-align: -webkit-center;&quot;&gt;Most of these conflicts can be resolved by using seperate instruction and data memories&lt;/span&gt;&lt;/ul&gt;
&lt;ul style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;background-color: white; font-family: Times, &#39;Times New Roman&#39;, serif; text-align: -webkit-center;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;2.Data dependency: &lt;/span&gt;conflicts arise when an instruction depends on the result of a previous instruction but this result is not yet available.&lt;/span&gt;&lt;/ul&gt;
&lt;ul style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;background-color: white; font-family: Times, &#39;Times New Roman&#39;, serif; text-align: -webkit-center;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;3.Branch difficulties:&lt;/span&gt; arise from branch and other instructions that change the value of program counter&lt;/span&gt;&lt;/ul&gt;
&lt;ul style=&quot;text-align: justify;&quot;&gt;&lt;h3&gt;

&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif; font-size: large;&quot;&gt;Resolution of conflicts&lt;/span&gt;&lt;/h3&gt;
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&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif; font-size: large;&quot;&gt;1.Hardware interlocks&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;is method &amp;nbsp;to remove data dependency conflict ,An interlock is a&amp;nbsp;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;circuit that detects instructions whose source operands are destinations of the instructions farther up in the pipeline.Detection of this situation&amp;nbsp;causes&amp;nbsp;the instruction whose source is not available to be delayed by enough&amp;nbsp;clock&amp;nbsp;cycles&amp;nbsp;to resolve the conflict.&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif; font-size: large;&quot;&gt;2.Operand forwarding &lt;/span&gt;&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;another technique uses special hardware to detect a conflict and then avoid it by routing the data through special paths between pipeline&amp;nbsp;segments.&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;for resolving the branch conflicts we first have to understand what a branch instruction is&lt;/span&gt;&lt;/div&gt;
&lt;div&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif; font-size: x-large;&quot;&gt;A branch instruction is a instruction that alters the sequencial flow of the program by loading the program counter by targer address&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif; font-size: large;&quot;&gt;3.Prefetch target instruction:&lt;/span&gt;&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt; In this technique pre-fetching of the target instruction is involve in addition to the instruction following the branch,both are saved until branch is executed if branching condition satisfied then pipeline continues from target instruction.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif; font-size: large;&quot;&gt;4.Branch target buffer: &lt;/span&gt;&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;BTB is associative memory included in fetch segment .Each entry consists of address of previously executed branch instruction and target instruction . when pipeline decodes the branch instruction BTB search for the address of instruction if available then prefetch &amp;nbsp;continues from new path.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;5.Branch prediction:&lt;/span&gt; A pipeline with branch prediction uses special additional logic to predict the outcome of conditional branch and starts fetching the instruction stream from predicted path.&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;6.Delayed branch: &lt;/span&gt;In this procedure the compiler detects the branch and rearranges the machine code by adding some useful instruction that keep the pipeline operating without instrruptions.&lt;/span&gt;&lt;/div&gt;
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&lt;span style=&quot;font-family: Times, &#39;Times New Roman&#39;, serif;&quot;&gt;&amp;nbsp;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt;&lt;/div&gt;
&lt;li style=&quot;clear: left; float: left; margin-bottom: 1em; margin-left: 1em;&quot;&gt;&lt;span style=&quot;font-size: large;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/li&gt;
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&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://mudgalbrajnesh.blogspot.com/feeds/4356109594051074691/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/05/pipelining-processors.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/4356109594051074691'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/4356109594051074691'/><link rel='alternate' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/05/pipelining-processors.html' title='Pipelining Processors'/><author><name>Brajnesh Mudgal (lucky)</name><uri>http://www.blogger.com/profile/17678111974692335467</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiW7TfkTLE9uAkQPSmfPD2nhEeLJZFjie81guyt24ELed5IzlYfgJOOU7VrzhAYKq22IrPy1yZyChp2dtEBuFmaSlzoTRAjAhwgkrXf7sx8aTHMYXxomLKDFzJh3UKe5g/s220/DSC_0529.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLpttkH0LFGPC5UZ6liJDJkKdUuDSgwP4MqAT9gZjs_CuJQ8-T7ItgOCbQaxiZfekWC3wa45weQO-Ux5spZV86cleN4MigXhBBStq5CgBCkVYOA03Y_qYWlUAuUfzJGSOGRFh5NaWmTWI/s72-c/PGC_Pipeline_Facility_Data.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-5111326008742027908.post-2249253541508593617</id><published>2012-05-03T14:21:00.000-07:00</published><updated>2012-05-14T09:06:39.464-07:00</updated><title type='text'>Input output organization</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
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&lt;h4 style=&quot;text-align: left;&quot;&gt;

computer system&#39;s input output&amp;nbsp;architecture&amp;nbsp;is it&#39;s interface to the outside world.In most fundamental modules of&amp;nbsp;computer ,I/O module have an important role besides the two PROCESSOR &amp;amp; MEMORY modules.Each I/O module interfaces to the system buses and control one or more peripheral devices .&lt;/h4&gt;
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&lt;span style=&quot;font-size: large;&quot;&gt;Need for input output module&lt;/span&gt;&lt;/h4&gt;
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&lt;br /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://mudgalbrajnesh.blogspot.com/feeds/2249253541508593617/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/05/input-output-organization.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/2249253541508593617'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/2249253541508593617'/><link rel='alternate' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/05/input-output-organization.html' title='Input output organization'/><author><name>Brajnesh Mudgal (lucky)</name><uri>http://www.blogger.com/profile/17678111974692335467</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiW7TfkTLE9uAkQPSmfPD2nhEeLJZFjie81guyt24ELed5IzlYfgJOOU7VrzhAYKq22IrPy1yZyChp2dtEBuFmaSlzoTRAjAhwgkrXf7sx8aTHMYXxomLKDFzJh3UKe5g/s220/DSC_0529.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPK3Jt7nb9V0DOj8GGVCA5KfiPZ8dX25XK1aKvUpFnlv13krOCF5GSKoiX9dLszZ_W9XprWlsCiUDo1gYDBdUXqp0cKhNdWpgClRTlrQOQSGue4db37gKBbmSBbXShKib6lw16KPd92Mo/s72-c/images.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-5111326008742027908.post-6490740693044168304</id><published>2012-05-02T15:28:00.000-07:00</published><updated>2012-05-03T11:23:58.688-07:00</updated><title type='text'>Intel 8085</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
&lt;h3 style=&quot;text-align: left;&quot;&gt;

The Intel 8085 is an 8-bit microprocessor introduced by Intel in 1977 .The 8085 is a&amp;nbsp;conventional&amp;nbsp;Von&amp;nbsp;Newman&amp;nbsp;design based on Intel 8080 .It is having 8-bit data&amp;nbsp;bus and 16-bit address but to limit the number of pins to &amp;nbsp;40.&lt;/h3&gt;
&lt;h3&gt;

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&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://mudgalbrajnesh.blogspot.com/feeds/6490740693044168304/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/05/intel-8085.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/6490740693044168304'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/6490740693044168304'/><link rel='alternate' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/05/intel-8085.html' title='Intel 8085'/><author><name>Brajnesh Mudgal (lucky)</name><uri>http://www.blogger.com/profile/17678111974692335467</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiW7TfkTLE9uAkQPSmfPD2nhEeLJZFjie81guyt24ELed5IzlYfgJOOU7VrzhAYKq22IrPy1yZyChp2dtEBuFmaSlzoTRAjAhwgkrXf7sx8aTHMYXxomLKDFzJh3UKe5g/s220/DSC_0529.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHWSCbHcUh1xT9knReMaszj7-2oYwtbAV8nBRCFy0oE4Ea-ADrU1YaDyCsE0Lexos_z9mO_ihNyZGkBrQjQuDYx2aCzK8prlLgQh_RK4KFl3VaDcpsQOqJUBKKGrqa_LaMQQ5xepea1e4/s72-c/intel.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-5111326008742027908.post-4871763600753781145</id><published>2012-05-02T03:40:00.000-07:00</published><updated>2012-05-03T11:25:01.751-07:00</updated><title type='text'>instruction format continues</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
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&lt;br /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://mudgalbrajnesh.blogspot.com/feeds/4871763600753781145/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/05/instruction-format-continues.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/4871763600753781145'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/4871763600753781145'/><link rel='alternate' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/05/instruction-format-continues.html' title='instruction format continues'/><author><name>Brajnesh Mudgal (lucky)</name><uri>http://www.blogger.com/profile/17678111974692335467</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiW7TfkTLE9uAkQPSmfPD2nhEeLJZFjie81guyt24ELed5IzlYfgJOOU7VrzhAYKq22IrPy1yZyChp2dtEBuFmaSlzoTRAjAhwgkrXf7sx8aTHMYXxomLKDFzJh3UKe5g/s220/DSC_0529.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7GmOHy_8gfuxA5No6xYOeMPHnMR_YqD_3Z4ntwSDKrLgcncMGm47w3Ah2dyIWLithyphenhyphena7-EksOewt3sI5HJGeoip393Mw41wWkdd1c18QbMj8nFXFpqnUMook5BDRLXDcCi5A7HF8wKf0/s72-c/e-learnlogo.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-5111326008742027908.post-7396304343353162585</id><published>2012-05-01T21:46:00.000-07:00</published><updated>2012-05-01T22:24:50.076-07:00</updated><title type='text'>just sit comfortably and enjoy addressing modes like eating popcorns</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
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&lt;br /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://mudgalbrajnesh.blogspot.com/feeds/7396304343353162585/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/05/just-sit-comfortably-and-enjoy.html#comment-form' title='3 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/7396304343353162585'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/5111326008742027908/posts/default/7396304343353162585'/><link rel='alternate' type='text/html' href='http://mudgalbrajnesh.blogspot.com/2012/05/just-sit-comfortably-and-enjoy.html' title='just sit comfortably and enjoy addressing modes like eating popcorns'/><author><name>Brajnesh Mudgal (lucky)</name><uri>http://www.blogger.com/profile/17678111974692335467</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='24' height='32' src='//blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiW7TfkTLE9uAkQPSmfPD2nhEeLJZFjie81guyt24ELed5IzlYfgJOOU7VrzhAYKq22IrPy1yZyChp2dtEBuFmaSlzoTRAjAhwgkrXf7sx8aTHMYXxomLKDFzJh3UKe5g/s220/DSC_0529.jpg'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4vknBtR9sAlSg3-TWbIGDcpv9G6zDV5JXPmrWtLkFmP9GquuBC2uHgScwZPYBqjLRVHO6m6fp1irupTkd54-iDCloYzg7bVTmtCcipHyvjvX3p1fpsjPOao4Wsr0hoEPWx8B9gbX2qfs/s72-c/a.png" height="72" width="72"/><thr:total>3</thr:total></entry></feed>