Sonnet of math

in #science7 years ago

There is no branch of science that does not have the use of mathematics, whether it is physics, chemistry or biology - mathematics is inextricably linked to them. Mathematics is called the language of science. Some people have only one mood of mathematics, and somebody has a math math. The subject of the article is an equation that has become known as the Most Beautiful Equation of all the mathematical calculations.


It is said that Shakespeare's sonnets, such as expressing the love of love to everyone, are revealing the reality of human life, such as the works of Vinchi, covering the cover of art, and Euler's equation in mathematics reveals the mood of mathematics. But why is it called the most beautiful equation? Let's know. The three mathematical expressions used in this equation are e (exponential), i (imaginary number) and π (pi).

First comes the explanation of the exponential e. E is an irrational number. Its value starts at 2.71828 ...... with the infinite number (Unrational number with unending digits). Basically, after calculating the growth of any kind at a critical rate, its discovery, from counting the number of insect breeding, its contribution to counting the radioactive decay rate of the atom is undeniable. Mathematically analyzing this amount is found that it is equal to the sum of the opposite numbers from 0 to the infinite number of references to the factorial.


The next amount is i. In mathematics, it is assumed as the imaginary number which is equal to the square root of 1 (-1). In reality, the square root of a negative number is not possible, that is, the class of a number can not be negative. But in mathematics there are some areas where there is a need to forcefully classify the number of negative numbers. I is assumed to be square root of -1.


The last sign is π which shows the diameter of the circle with the diameter of the circle. This is the most well known and widely used amount in mathematics. Its value is 3.1416 ...... which extends to as infinite as e. Its use is well-known in different branches of science like e.


The interesting thing is that when i and π are used as increments of e, increment of e is done, then its value is -1 or its addition to 1 is the result which is surprising to scientists and mathematicians. Because they were unable to visualize such a result that they could find such a result that they could get such results, and this was possible only for Euler's equation. For mathematicians, it has got the reputation of the Most Beautiful Equation.


Why is that so?

Typically, for any positive number a, a means that a is multiplied by a number n, such as {a} ^ {3} = a.a.a. That is, by this we can write am + n = an.am. for all arithmetic numbers. If we write \ frac {1} {a} = {a} ^ {-1}, then all the integers can be written for am + n = an.am. Again, a square root of a can be written as {a} ^ {1/2} and a = {a} ^ {1/2} + {a} ^ {1/2}. Simply put, ar for all the rational numbers, it can be used as a r r multiplication.


But in the case of Euler equation, by complex analysis, it can be said that for any real number x,

 Basically, Euler's equation shows the movement of a point on the circumference of the circle. In case of circular motion, if a point is located at the radians angle, then in the two-dimensional system, cos (x) represents the real coordinate coordinates of the point and sin (x) unreal line coordinates. So cos (x) + isin (x) can display the position of any position on the point.


Where the trigonometric functions are calculated by the value of sine and cosine in radians. The radii scale is 180 ° C, which means π = 180 degrees. So if the eller of eller instead of x is replaced in Euler's equation,

Now cos (π) = cos (180) = -1 and sin (π) = sin (180) = 0

In other words, {e} ^ {i \ pi} = - 1 + i.0 = -1


References

Http://www.livescience.com/51399-eulers-identity.html https://en.wikipedia.org/wiki/Euler%27s_identity

Coin Marketplace

STEEM 0.16
TRX 0.16
JST 0.030
BTC 57393.77
ETH 2439.11
USDT 1.00
SBD 2.33