The purpose of Series Math Study (SMS) website is to explore and develop the beauty of series formulas that have connections to special mathematical constants. Some series can be used to calculate ever more accurate values of some special math constants as the desire that has challenged mathematicians for many centuries.
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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
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.)