E-mail Forwards 4 All - Send Inspiring, Awesome, Interesting E-mail Forwards

Email Forwards 4 All - Moto Show | Canary Warf | London

2011-11-09T07:29:00.000-08:00

By Nufeil Orompurath

E-mail Forwards 4 All - Good Morning Emails To Forward | Good Morning Quotes

2011-09-23T23:54:00.000-07:00

E-mail Forwards 4 All - Good Morning Emails To Forward | Good Morning Quotes

2011-09-16T23:05:00.000-07:00

E-mail Forwards 4 All - Isang Litrong Liwanag (A Liter of Light)

2011-09-16T22:52:00.000-07:00

Isang Litrong Liwanag (A Liter of Light), is a sustainable lighting project which aims to bring the eco-friendly Solar Bottle Bulb to disprivileged communities nationwide. Designed and developed by students from the Massachusetts Institute of Technology (MIT), the Solar Bottle Bulb is based on the principles of Appropriate Technologies – a concept that provides simple and easily replicable technologies that address basic needs in developing communities.

E-mail Forwards 4 All - Things You Didn't Know - "Brain"

2011-09-16T22:26:00.000-07:00

source

E-mail Forwards 4 All - The world's most funny dog video

2011-09-16T22:22:00.000-07:00

Q: What does 0^0 (zero raised to the zeroth power) equal? Why do mathematicians and high school teachers disagree?

2011-09-16T22:19:00.001-07:00

Clever student:

I know!
= = = = .
Now we just plug in x=0, and we see that zero to the zero is one!

Cleverer student:

No, you’re wrong! You’re not allowed to divide by zero, which you did in the last step. This is how to do it:
= = = =
which is true since anything times 0 is 0. That means that
= .

Cleverest student :

That doesn’t work either, because if then
is
so your third step also involves dividing by zero which isn’t allowed! Instead, we can think about the function and see what happens as x>0 gets small. We have:
=
=
=
=
=
=
=
=
=
So, since = 1, that means that = 1.

High School Teacher:

Showing that approaches 1 as the positive value x gets arbitrarily close to zero does not prove that . The variable x having a value close to zero is different than it having a value of exactly zero. It turns out that is undefined. does not have a value.

Calculus Teacher:

For all , we have
.
Hence,

That is, as x gets arbitrarily close to (but remains positive), stays at .
On the other hand, for real numbers y such that , we have that
.
Hence,

That is, as y gets arbitrarily close to , stays at .
Therefore, we see that the function has a discontinuity at the point . In particular, when we approach (0,0) along the line with x=0 we get

but when we approach (0,0) along the line segment with y=0 and x>0 we get
.
Therefore, the value of is going to depend on the direction that we take the limit. This means that there is no way to define that will make the function continuous at the point .

Mathematician: Zero raised to the zero power is one. Why? Because mathematicians said so. No really, it’s true.

Let’s consider the problem of defining the function for positive integers y and x. There are a number of definitions that all give identical results. For example, one idea is to use for our definition:
:=
where the y is repeated x times. In that case, when x is one, the y is repeated just one time, so we get
= .
However, this definition extends quite naturally from the positive integers to the non-negative integers, so that when x is zero, y is repeated zero times, giving
=
which holds for any y. Hence, when y is zero, we have
.
Look, we’ve just proved that ! But this is only for one possible definition of . What if we used another definition? For example, suppose that we decide to define as
:= .
In words, that means that the value of is whatever approaches as the real number z gets smaller and smaller approaching the value x arbitrarily closely.
[Clarification: a reader asked how it is possible that we can use in our definition of , which seems to be recursive. The reason it is okay is because we are working here only with , and everyone agrees about what equals in this case. Essentially, we are using the known cases to construct a function that has a value for the more difficult x=0 and y=0 case.]
Interestingly, using this definition, we would have
= = =
Hence, we would find that rather than . Granted, this definition we’ve just used feels rather unnatural, but it does agree with the common sense notion of what means for all positive real numbers x and y, and it does preserve continuity of the function as we approach x=0 and y=0 along a certain line.
So which of these two definitions (if either of them) is right? What is really? Well, for x>0 and y>0 we know what we mean by . But when x=0 and y=0, the formula doesn’t have an obvious meaning. The value of is going to depend on our preferred choice of definition for what we mean by that statement, and our intuition about what means for positive values is not enough to conclude what it means for zero values.
But if this is the case, then how can mathematicians claim that ? Well, merely because it is useful to do so. Some very important formulas become less elegant to write down if we instead use or if we say that is undefined. For example, consider the binomial theorem, which says that:
=

where means the binomial coefficients.
Now, setting a=0 on both sides and assuming we get

= =
=
=
=
where, I’ve used that for k>0, and that . Now, it so happens that the right hand side has the magical factor . Hence, if we do not use then the binomial theorem (as written) does not hold when a=0 because then does not equal .
If mathematicians were to use , or to say that is undefined, then the binomial theorem would continue to hold (in some form), though not as written above. In that case though the theorem would be more complicated because it would have to handle the special case of the term corresponding to k=0. We gain elegance and simplicity by using .
There are some further reasons why using is preferable, but they boil down to that choice being more useful than the alternative choices, leading to simpler theorems, or feeling more “natural” to mathematicians. The choice is not “right”, it is merely nice.

E-mail Forwards 4 All - Happy Birthday | Happy Birthday Cards | Happy Birthday Pictures | Happy Birthday Wishes | Email Forwards For All

2011-09-04T02:06:00.000-07:00

source

E-mail Forwards 4 All - 15+ Vintage Bikes 1930 to 1990 served | Email Forwards For All

2011-09-04T00:57:00.000-07:00

Here are some of the cool Vintage Bikes you will ever wish to see....

source

E-mail Forwards 4 All - Vintage Air-crafts served

2011-09-03T23:48:00.000-07:00

Hello readers, here are a collection of photographs of unique, classic, vintage and historical air-crafts.

source

E-mail Forwards 4 All - How to boost your WiFi signal with a beer can

2011-09-03T10:39:00.000-07:00

source

E-mail Forwards 4 All - 30+ Awesome Computer Graphics served

2011-09-03T10:33:00.000-07:00

Computer graphics are graphics created using computers and, more generally, the representation and manipulation of image data by a computer with help from specialized software and hardware.
Using 3D Software you can create fantastic and realistic computer graphics. You can create your own character, arts, natural scene, portraits, sculptures and much more...

Today I am sharing some of those awesome computer generated graphics

source

E-mail Forwards 4 All - Designer Standing Lamps by Calabarte

2011-09-03T09:45:00.000-07:00

source

E-mail Forwards 4 All - How to Prepare for your Video Interview by Pablo Valerio

2011-09-01T07:19:00.000-07:00

The new business reality and current economy require recruiters and HR departments to conduct many more interviews than before. Bringing people from out of town for a face-to-face interview is costly and time consuming. Easy access to the Internet and Web cams makes it possible to conduct initial interviews by videoconferencing.

How you perform in this initial online meeting can affect your chances of getting the job. Here is how a bit of preparation can help.

Test your equipment. Videoconferencing can be frustrating, and most people have limited bandwidth at home. Remember that your uplink (sending information to the Internet) is usually slower than your downlink. So even if you see the other party clearly on the screen, it is possible that your image is unclear or “breaking up” for the other party. If possible, test your video equipment with a friend or family member to see how it actually works.
Use a headset or external microphone. Internal microphones and Skype’s noise reduction features are great, but the best experience comes from a good headset or an external microphone. I use a Logitech USB headset that provides a clear incoming and outgoing sound. Another elegant solution is the Sennheiser PC121 headset. I used that for many years. The sound quality is excellent, but it uses your internal sound card.
Look at the camera, not the screen. It is very easy to forget that, especially when you have the image of the interviewer on your computer screen. A small trick is to resize the video window and position it at the top of the screen near the camera.
Be careful with the background. Try to have a clean wall behind you, or show only a nice picture or some awards or certificates. Avoid any clutter around you. You may need to get up to look for something, and that can be distracting.
Avoid interruptions. You will probably conduct the video interview from your home, and things such as telephone calls and family members looking for you can disrupt the conversation. Disconnect your cell phone and any others in the room, and tell your family not to interrupt while the door is closed.
Wear solid colors. Webcams don’t work well with patterned clothes. They get “digital noise,” especially when you move, and the interviewer can get distracted. If you plan to wear a tie or scarf, use a solid color over a lighter shirt. Don’t wear a jacket. Nobody expects you to use one at home.
If possible, conduct a test interview with a friend. Practice leads to perfection. Being comfortable with the videoconferencing environment is important to help you concentrate on the interview, not the technology. If you have someone you can trust who has experience conducting interviews, ask him/her to interview you with solid and challenging questions.
Prepare digital files. Most videoconferencing software allows you to share a presentation on your screen. Clean your desktop before the interview, and have the files ready to share if needed. Also, have a copy of your resumé, in case the recruiter asks to see it.

And relax. Interviewers are aware of the difficulties involved in videoconferencing, so they expect to run into some small difficulties. If the video starts to run slow, or the audio is not clear, inform the interviewer, and ask to call again. That usually solves the problem.

source

E-mail Forwards 4 All - Charming Designer Standing Lamps by Calabarte

2011-09-01T07:06:00.000-07:00

Calabarte is an artist from Poland. He sculpts elaborated patterns on gourds which come from Senegal. When the lamp is switch on, the light amazes us with the fairy atmosphere created. Here are some of his works...

source

E-mail Forwards 4 All - 25+ Freaky and Creative Packaging Designs served..

2011-08-31T21:41:00.000-07:00

Packing plays a key role in Marketing a product. In other words, the image of the product is in Packaging Design. Selection of colors, graphics used and even shape does matters.

Here are some of the Freaky and Creative designs...

source

E-mail Forwards 4 All - Crazy Good Morning Mails | Good Morning email to forward

2011-08-30T10:22:00.000-07:00

source

E-mail Forwards 4 All - Two Different Pictures in One | Double Exposure Pictures

2011-08-30T09:46:00.000-07:00

source

E-mail Forwards 4 All - Fabulous Cars between 1935 to 1968

2011-08-28T07:09:00.000-07:00

750 monza spider11

Bugatti Type 57 Grand Raid Roadster

Rolls Royce Phantom III Vutotal Cabriolet

Mercer Cobra Roadster

Porsche Typ 906 Carrera

Alfa Romeo Tipo 33

Jaguar E Type

Mercedes Benz 710

Ralph Lauren Alfa Romeo

Ralph Lauren Bentley Blower

source1

source2

E-mail Forwards 4 All - Incredible Interiors | Fabulous Designs for your Living Room

2011-08-28T06:45:00.000-07:00

Interior design is a multi–faced profession in which creative and technical solutions are applied within a structure to achieve a built interior environment and home lifestyle enhancement.
The interior design process follows a systematic and coordinated methodology, including research, analysis, and integration of knowledge into the creative process, whereby the needs and resources of the client are satisfied to produce an interior space that fulfils the project goals.

source

E-mail Forwards 4 All - Large Sculptures out of LEGO Bricks by Nathan Sawaya

2011-08-28T05:26:00.000-07:00

About Nathan Sawaya

Nathan Sawaya, is an artist who builds custom three-dimensional models and large-scale mosaics from popular everyday items and standard Lego toy bricks. His unique art creations are commissioned by companies, charities, individuals, museums and galleries.

Born in Colville, Washington and raised in Veneta, Oregon, Sawaya attended New York University, where he earned bachelors and law degrees, eventually practicing law at the firm Winston & Strawn.He first came to national attention in 2004, when he won a nationwide search for a professional Lego Master Model Builder.

Here are some of his Master Piece...

source

E-mail Forwards 4 All - Pictures of USA's Famous Buildings

2011-08-28T04:27:00.000-07:00

source

E-mail Forwards 4 All - Funny Baby Videos

2011-08-28T03:59:00.000-07:00

E-mail Forwards 4 All -30 Amazing Design from Chow Hon Lam

2011-08-28T03:37:00.000-07:00

Chow Hon Lam is a t-shirt designer and a humorous illustrator from Malaysia. He has completed this crazy project Flying Mouse 365, by creating one design per day. I hope his illustrations can bring some smile and entertainment to the readers.

Chow currently working and collaboration with some clients like AirAsia, Nike, Lotus F1, MARTELL VSOP, KLUE, and Dave Matthews Band.

source

E-mail Forwards 4 All - Good Morning Emails To Forward

2011-08-28T02:43:00.000-07:00