The formula does not give gamma exactly. I claim that the direction is correct. Towards gamma. Gamma or Euler Mascheroni constant occurs in nature. It frequently comes up in number theories. It is the difference between sum of series of natural numbers and the logarithmic series. It is approximately 0.57721.
Euler mascheroni constant or gamma is the difference between sum of series of reciprocals of natural numbers and the logarithmic series. (Correction to above)
I thought like this. An increase by 1 from 1 to 2 is a 100 percent rise. An increase by 1 from 100 to 101 is just 1 percent rise. I don't know whether correct or not. But I had the intuition that though there is fall in percent for the same increase of 1; gamma or Euler Mascheroni constant is true.
Today (13th February 2019), I have written down the expressions on gamma by the master himself. Leonhard Euler expressions. Two of them. Then there are expressions by Vacca and Polka too. (Knowledge courtesy : Mathematical constants by Steven R Finch)
The formula does not give gamma exactly.
ReplyDeleteI claim that the direction is correct. Towards gamma.
Gamma or Euler Mascheroni constant occurs in nature. It frequently comes up in number theories.
It is the difference between sum of series of natural numbers and the logarithmic series.
It is approximately 0.57721.
Euler mascheroni constant or gamma is the difference between sum of series of reciprocals of natural numbers and the logarithmic series. (Correction to above)
DeleteI thought like this.
ReplyDeleteAn increase by 1 from 1 to 2 is a 100 percent rise.
An increase by 1 from 100 to 101 is just 1 percent rise.
I don't know whether correct or not. But I had the intuition that though there is fall in percent for the same increase of 1; gamma or Euler Mascheroni constant is true.
Today (13th February 2019), I have written down the expressions on gamma by the master himself. Leonhard Euler expressions.
ReplyDeleteTwo of them.
Then there are expressions by Vacca and Polka too.
(Knowledge courtesy : Mathematical constants by Steven R Finch)