Tuesday, January 2, 2018

Most beautiful constant

An increase of 1 from 1 will be an increase 2 times.
An increase of 1 from 10 will be an increase just 1/10.
I used to wonder about it. Is it fair. Is there an explanation.
About a year back, I discovered the answer. After discovery of Riemann Zeta Functions.
The number so aligns that the lower power numbers align with higher values. Euler made this equation. And the constant is called Euler-Mascheroni constant(γ).

γ = 1/2 (1/2²+1/3²+1/4² +. . . . . . )+2/3(1/2³+1/3³+1/4³+. . . . . . . . )+3/4(1/2⁴+1/3⁴+1/4⁴+. . . . . . )+. . .

The value of γ is 0.5772156649015328606065120 . . . 



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