tag:blogger.com,1999:blog-37090524521612558162022-08-10T05:06:36.523+03:00Mathematics For BlondesMathematics should be done by blondes - they don't know how to lie.
Attention! Residents of the European Union to visit the site is strictly forbidden - the evil cookie you eat with your computer! You have been warned.Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.comBlogger169125tag:blogger.com,1999:blog-3709052452161255816.post-68850949607480453492022-08-08T13:55:00.002+03:002022-08-08T14:03:57.196+03:00Multiplication by zero and zero elementMathematicians claim that when multiplied by zero, multiplication occurs and "multiplying by zero (zero element) gives a number equal to zero." Let's look at a couple of examples.
Zero on the football field
We go to the stadium to watch European football. This is exactly what blondes need. Firstly, beautiful gerls are shown on TV. Secondly, in European football, twenty-two millionaires kick the Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-88952592903158614332022-07-28T23:42:00.006+03:002022-08-08T14:08:50.138+03:00Multiplication by zeroIn the comments to the article "Multiplication by zero" of the Russian version of this site, I was asked an interesting question:
Nikolai, I read the article halfway, but still ... There are two apples in front of me (fact). Further, I, like a "sorcerer", multiply them by zero and still see two apples in front of me! Although, according to the laws of arithmetic, they should have disappeared Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-19794654607665230262022-01-29T09:59:00.001+02:002022-01-29T10:00:02.244+02:00Squaring the circleSquaring the circle. The solution of the problem. Almost accurate. Math draw.
Squaring the circle. The solution of the problem. Almost accurate.
This construction is not a solution to the problem of squaring the circle, but it forced me to get my hands on the math and do all the verification calculations. If the correct solution should give a segment with a length of 1.77245 radii, then the Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-9266210000484013672022-01-01T13:54:00.003+02:002022-01-01T14:00:15.169+02:00Signs greater than and less thanHow to remember signs greater than and less than? A very long time ago, when I was little and went to school, the teacher taught us this. Even as an adult, I have always used this method.
We always do more with our right hand than with our left. If we bend our right arm at the elbow and raise it above our head, we get the "GREATER THAN" sign. We do less with our left hand. A bent and raised leftНиколай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-81254316264060291072021-10-30T11:17:00.002+03:002021-10-30T11:21:05.498+03:002 to the power zero fiveHow much is 2 to the power zero five? A trick question, like everything mathematicians come up with for us. In short, transformations look like this.
2 to the power zero five
Now let's take a closer look at the logic of mathematicians. Raising a number to an integer power is the multiplication of these numbers. Raising a number to a fractional power is extracting the root of a number, with Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-62252429144254144802021-10-16T13:36:00.003+03:002021-10-16T13:38:56.794+03:00101 cubed. Bad example. How to find 101 cubed using abbreviated multiplication formulas? I have already shown how, using the cubes of the sum formula, one can calculate one hundred and one in a cube. There I presented one number 101 as the sum of two numbers 100 and 1. The use of simpler (more convenient in calculations) numbers makes the calculation easier.
On the Internet, I saw an example of using other formulas, Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-1033670902470691322021-07-25T23:09:00.002+03:002021-07-25T23:10:37.016+03:00Cube of 101Today we will look at an example of how you can find one hundred and one cubed using the abbreviated multiplication formulas. In other words, how to raise cube of 101 using the abbreviated multiplication formula.
The following cry for help was heard in the comments:
Help please, problem (example) from the physics and mathematics school (Russia), grade 8:
101^3
I don't understand how to solve Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-4455710431902987432020-12-20T09:43:00.005+02:002021-06-12T09:30:05.635+03:00Plus on minus what gives?Positive and negative numbers were invented by mathematicians. The rules for multiplying and dividing positive and negative numbers were also invented by mathematicians. We need to learn these rules in order to tell mathematicians what they want to hear from us.
It's easy to remember the rules for multiplying or dividing positive and negative numbers. If two numbers have different signs, the Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-71941561144321239912019-11-02T21:42:00.000+02:002019-11-02T21:42:52.367+02:00Borsch trigonometry. Addition.I will not tell you recipes for cooking borsch, I will talk about mathematics. What is borsch? These are vegetables cooked in water according to a specific recipe. I will consider two source components (vegetable salad and water) and the final result is borsch. Geometrically, this can be thought of as a rectangle in which one side is a salad, the other side is water. The sum of these two sides isНиколай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-18738790356828253162019-10-19T15:59:00.001+03:002021-10-16T12:23:27.827+03:00Mathematicians lieI watched the video One minus one plus one minus one - Numberphile. Mathematicians lie. They did not perform an equality test in the course of their reasoning.
Mathematicians lie
Confirmation of my reasoning about infinite sets.
If you take a closer look at all the manipulations, the error will immediately become visible. The example is written on one line and "equality" is based on the Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-77066566158309216242019-09-29T15:17:00.001+03:002019-09-29T15:29:30.555+03:00Infinite setConcluding the discussion of sets, you need to consider an infinite set. The fact is that the concept of "infinity" acts on mathematicians, like a boa constrictor on a rabbit. A trembling horror of infinity deprives mathematicians of common sense. Here is an example:
Infinite set
Alpha denotes a real number. The equal sign in the above expressions indicates that if you add a number or Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-85878464083527731172019-08-29T23:13:00.000+03:002019-09-29T15:27:40.374+03:00Set and subsetHow to divide a set into subsets? To do this, it is necessary to introduce a new unit of measure that is present in some elements of the selected set. Consider an example.
Suppose we have a set of A, consisting of four people. This set is formed on the basis of "people." We denote the elements of this set by the letter "a", the subscript with a number will indicate the serial number of each Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-91632237735293715922019-08-26T23:34:00.002+03:002022-07-21T10:01:32.205+03:00The formation of the setI have already told you that set theory is a herd theory by which shamans try to sort out "sea urchins" of reality. How do they do that? How does the formation of the set actually occur?
Initially, individual elements stand out from reality. After that, a set are formed from some elements that have a common property. Shamans always know in advance how a set they want to show us.
I will show theНиколай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-65248553903693442432019-08-10T18:17:00.004+03:002019-08-26T23:45:29.551+03:00Element of the setIf mathematicians cannot reduce the concept of "set" to other concepts, then they do not understand anything in mathematics. I answer the question: how are the elements of one set different from the elements of another set? The answer is very simple: numbers and units of measurements.
Today everything belongs to some kind of set (as mathematicians assure us). By the way, did you look at yourselfНиколай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-21572901546669528922019-08-09T14:06:00.003+03:002019-08-10T18:42:43.574+03:00Set and multisetThe concepts of “set” and “multiset” are two trump ace in the sleeves of a sharpie, one in each sleeve. The sharpie takes out from the sleeve that trump ace, which is more convenient for him to get. In any case, the sharpie always wins. In the same way, any mathematician will always justify set theory.
There can’t be two identical elements in a set, but if there are identical elements in a set, Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-6794102166699561722019-08-09T00:39:00.003+03:002022-07-19T17:29:14.583+03:00Set theorySet Theory
Set theory is the stone age of mathematics. Only shamans know how to properly form the set. Let's look at set theory from the side and reveal some of the secrets of shamans. To understand the essence of set theory, it is necessary to consider another mathematical concept - a function. The function sets the correspondence between the elements of two sets. Each element from the herd of Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com4tag:blogger.com,1999:blog-3709052452161255816.post-8821958239176250002019-01-12T18:02:00.001+02:002019-01-12T18:03:24.811+02:00Achilles and the tortoise
Achilles and the tortoise
In the fifth century BC, the ancient Greek philosopher Zeno of Elea formulated his famous aporia, the most famous of which is the Achilles and the Tortoise aporia. Here’s how it sounds:
Suppose Achilles runs ten times faster than a turtle, and is a thousand paces behind it. During the time that Achilles has run this distance, the tortoise will crawl a hundred steps Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-72265335763427738512018-02-10T12:42:00.003+02:002018-02-10T12:42:52.241+02:00TrapezoidIn Wikipedia there is a page of a trapezoid. In the drawing it is shown that any trapezoid can be turned into a rectangle.
Trapezoid
Let's look at algebra. These are formulas for calculation of lengths of diagonals of a trapezoid.
Diagonals of trapezoid
We substitute in these formulas data for a rectangle.
Diagonals of rectangle
If to trust these formulas, the rectangle has no Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-87042188895371974592017-03-02T11:32:00.000+02:002017-03-03T10:40:28.438+02:00Inverse transformationsLast time we transformed the law of cosines and a Pythagorean theorem to the sum of a line segments. Now we will execute inverse transformations.
Inverse transformations
In inverse transformations I made everything very simply. The minus sign from a formula disappeared. The problem is that we are not able to measure angles correctly. Than differ a angle 0 degrees from a angle of 180 degrees?Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-12949604877057335842017-02-27T11:08:00.002+02:002017-03-03T10:40:12.516+02:00We use the law of cosinesI was always interested in a question: how the Pythagorean theorem turns into the sum of a line segments? What I speak about? Here you look.
The Pythagorean theorem and the sum of a line segments
In geometry everything is very prime. The first time we draw a right triangle and we write down a Pythagorean theorem. The second time we draw two a line segments and we write down the sum of a line Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-30585274591263641772017-02-25T17:01:00.002+02:002017-02-25T17:02:11.075+02:00Law of sinesThe law of sines (sine law, sine formula, or sine rule) is an equation relating the lengths of the sides of a triangle (any shape) to the sines of its angles.
The law of sines
Where:
a, b, c - are the lengths of the sides of a triangle;
α, β, γ - are the opposite angles;
T - are the area of triangle;
R - are the radius of the triangle's circumcircle.
How to use this monster? Use dress-makingНиколай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-10359455782375693262017-02-13T12:35:00.000+02:002017-02-13T12:35:47.641+02:00Transformations of trigonometric functions
Transformations of trigonometric functions
This table shows how one trigonometric functions can be transformed to other trigonometric functions. Sin, cos, tan, cot, sec, csc - all these functions can be transformed.Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-78593054532015287022017-02-10T17:28:00.000+02:002017-02-10T17:28:53.306+02:00Number to the power minus oneWhat to do if number to the power minus one? Write down this number in a fraction denominator. Here several examples with numbers to the power minus one.
Number to the power minus one
Negative exponents of numbers mean that these numbers are in a fraction denominator.
Negative exponents
Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com0tag:blogger.com,1999:blog-3709052452161255816.post-6274382550958954502017-02-10T10:14:00.003+02:002017-02-10T10:15:33.640+02:00Trigonometrical circle of a tangentLast time I drew for you a unit circle of cotangent. Now you can look at a trigonometrical circle of tangent.
Trigonometrical circle of a tangent
There is no sense here. There are angles and values of tangents. If you want to understand sense of a tangent and cotangent, look here.Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com3tag:blogger.com,1999:blog-3709052452161255816.post-4832252783356505882017-02-08T16:38:00.001+02:002017-02-17T01:51:23.992+02:00Trigonometric table
Trigonometric table are crazy
This trigonometrical table is an example of mathematical marasmus. I am touched by exact values of a sine and cosine. No comments.
If mathematicians do not know what is trigonometric functions, let read here. If mathematicians are not able to divide into zero, let study. I like the idea of this table. I do not like its contents. I corrected this Николай Хижнякhttp://www.blogger.com/profile/12714206257364077985noreply@blogger.com1