THE MATHEMATICAL BEAUTY

1. E = m*c^2 for physics
e^i*pi + 1 = 0 for math
The most important, useful and beautiful formula.

2. e = 2.71... Euler's constant.
i = Root of (-1)
pi = 3.14....
0,1 = integers.
The formula relates all the important five constants in mathematics . Note that all the constants lie around zero.

3. i is the imaginary number and used in complex algebra. Pi is connected with circle and hence belongs to geometry. e is a exponential function. It is also the base of natural logarithm . 0,1 are integers --Arithmetic
Hence the formula connects four diverse fields.

4. The formula also uses three important mathematical operations.
1. Addition (reverse is subtraction)
2. Multiplication (reverse-division)
3. exponentiation (reverse-root)

5. Meaning - little math
e^i*pi +1= 0
e^i*pi = -1
can be written as
e^i*pi = cos pi +i*sin pi = -1
-1 + 0 = -1
-1 = -1
Hence proved.

6. It brings the complex trigonometry to easy algebra (a worm hole of math)
Note: e^i*x = cos x + i*sin x

7. It represents a unit circle in polar coordinates.

8. Fourier transform works easily because of this function. It splits any wave into its sine wave and cosine wave components.

9. Quantum theory says that the sub atomic particles behave like waves. These waves are easily represented by this formula.

10. It is said: Aliens create crop circles. What they are trying to tell? People are always trying to find mystic meanings for this formula.

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