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Special Finite Series

 

 

Special Arctan Identity

,

where x is arbitrary.

 

Pi/35

The sin function of pi/35 obeys the identity

.


Special Sextic Equation

where a, b, c are real or complex numbers and a ≠ 0. One of the roots of the special sextic equation is found as shown below 

 

.


The solution of the equation is 

 


16x16 Magic Square

 


 


 In pure mathematics the most complicated identities are often the simplest ones.
Both have similarity of calculation measured by nature of numbers but different in forms created by man. (T.V.)