Kareena Kapoor Khan to Sonakshi Sinha: Who wore what on Eid-ul-Fitr 2025
Kareena Kapoor Khan Keeping it subtle and comfortable, Kareena Kapoor Khan wore an orange kurta decked with colourful floral patterns, dipped in the hues of yellow, pink, and green. She teamed the side-slit kurta with matching printed palazzo pants and added a crinkled cotton dupatta with a gold patti border. #Kareena #Kapoor #Khan #Sonakshi #Sinha #wore #EidulFitr
Two physicists, Arnab Priya Saha and Aninda Sinha from the Indian Institute of Science (IISc) Bengaluru, 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 \((x)_n := x(x+1)\cdots(x+n-1)\).
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