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Archive for the ‘Math’ Category

Common Errors in Calculus Exercises

Tuesday, September 13th, 2016

Practical exercises make an important part of a math course, which helps to deeper understand all theoretical information and further study more complex math sections. Quite often students do not even realize that they make mistakes and why that happens. In this article, we will analyze the most common student’s problems met while solving calculus homework. (more…)

How to Get 100 With Nine Different Figures

Monday, August 15th, 2016

How to Get 100 With Nine Different Figures

There are a lot of different math tricks that can impress you with their beauty and compactness. In this post, you will find not only their examples but also will try to create your own. To begin with, a few “Mathematical Curiosities” are introduced by the famous Russian mathematician and physicist Yakov Perelman (1882-1942) in his popular book “Arithmetic for entertainment”. Here are some of them: (more…)

The Secret of Perfect Numbers

Thursday, July 7th, 2016

The Secret of Perfect Numbers

Numbers accompany us from birth until the last days and we can’t imagine the life without them. Among all the numbers, there are some special ones, named perfect. And despite a lot of papers are devoted to these perfect numbers, only 24 such numbers have been determined so far. So what is special about these numbers? Well, the number is called perfect if it is equal to the sum of all its proper divisors excluding itself. Now, let’s find out more! (more…)

Finding Square Root Without a Calculator

Thursday, June 9th, 2016

Finding Square Root Without a Calculator

All of us widely use calculators to perform mathematical operations. Obviously, these machines were invented by people, who determined their work according to the certain algorithms for quick count. In this article, we’re going to tell you about one of such algorithms. We’ll also show how you can extract square roots in column and you’ll see that the result of this operation can be received with arbitrary precision; we can find any digits number in its decimal representation, even if it turns irrational. (more…)

Easy Explanation of Basis

Wednesday, May 11th, 2016

Easy Explanation of Basis

Quite often students have some problems with understanding the concept of the vector space basis, the linear dependence and linear independence of the vectors. In this article, we’ll try to explain these terms through simple things and examples. If you still don’t know what the vector is or don’t know how to do simple operations with vectors we offer you to watch our introductory video tutorial and then continue reading this article. (more…)

Useful Memory Technique For Math

Tuesday, April 5th, 2016

Useful Memory Technique For MathSolving math problem, especially in the high school, requires using a wide variety of theorems, lemmas, their corollaries. However, quite often students face misunderstandings during the math lectures, which bring troubles with solving these practical exercises.  But how to remember all the math stuff? Here we’ll offer you one of the methods. This interesting and useful technique deals with the association of the difficult problems with the simple things. (more…)

How Idea of Fourier Transform Works

How works the idea of the Fourier transform

Every day each of us listens to music, views images on the Internet, turns on a radio station or a TV channel. All these processes have a common feature; it is their implementation involving the use of the same mathematical tool – the Fourier transform. It’s not an exaggeration to say that this is one of the most widely used mathematical discoveries, which is widely known in optics and quantum physics, radio astronomy, X-ray crystallography, voice recognition and PET (positron emission tomography) or MRI (magnetic resonance imaging), etc. (more…)