Tuesday, September 5, 2023

Perhaps True

Khinchin constant and Euler Mascheroni constant are nature blessed. So is how I understand. 

However there is no harm in being convinced with what I think; what the Khinchin constant and Euler Mascheroni constant are.

In this blog post, I give my explanation of Khinchin constant and Euler Mascheroni constant.

Khinchin constant

Generally when we think of numbers we think they are in geometric progression.

Let a0, a1, a2 etc be such numbers.

Then limit of (a0.a1.a2.....a(n)) as n tends to infinity is Khinchin constant. Its value is 2.685

However Khinchin said a0, a1, a2 are expressible as a continued fraction.

Euler Mascheroni constant

In number systems, 1 to 2 is a 100 percent increase. While 99 to 100 is about 1 percent.

Is is not strange ?

Even though the numbers n increase. 1/n decreases.

Numbers are expressed as e^n also. Therefore log(n2)/log(n1) is also important.

Combining above two lines is what is Euler Mascheroni constant. Its value is 0.577

I hope you like this blog post. Have a nice day !!


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