mastodon.xyz is one of the many independent Mastodon servers you can use to participate in the fediverse.
A Mastodon instance, open to everyone, but mainly English and French speaking.

Administered by:

Server stats:

810
active users

#IISc

0 posts0 participants0 posts today

Two physicists, Arnab Priya Saha and Aninda Sinha from the Indian Institute of Science, inadvertently discovered a new formula for calculating \(\pi\) while working on string theory. Their findings were published in Physical Review Letters in January 2024.

This formula generates an infinitely long sum. What's remarkable is that it depends on a factor \(\lambda\), a freely adjustable parameter.

Since there are infinitely many possible values for \(\lambda\), Saha and Sinha have effectively discovered infinite formulas for \(\pi\). Interestingly, when \(\lambda\) approaches infinity, the equation corresponds to Madhava's formula, discovered more than 600 years ago.
\[\pi = 4 + \sum_{n=1}^\infty {1\over n!} \biggl({1\over n+\lambda} - {4\over 2n+1}\biggr)\biggl({(2n+1)^2 \over 4(n+\lambda)} - n \biggr)_{n-1}\]

where \(\lambda\) is an arbitrary complex number and the Pochhammer symbol \((x)_n := x(x+1)\cdots(x+n-1)\).

I guess I am due an #introduction.

Hello folks,

I am Bevan Stanely. I am finishing my master’s from #iisc #india. For my #research thesis, I developed a computational model for a social bacteria #myxo.

I am preparing for a career change to #datascience. The technical stuff in #dataengineering is also quite interesting.

I like it here at #mastadon. It is much more sociable to my comfort. I am looking forward to smaller but more fulfilling networks. I have a lot of interests, so not gonna bore you with a list.

Cheers to new meaningful connections!!