A few images from yesterdays first #HoloDeck presentation at Prof. Varshneys #lab at the #Indian Institute of #Science (#IISc) in #Bangalore (#India), where people enjoyed 'playing molecules'.
Holodeck, also known as the Rechenkraft.net #Molecular #AR Environment is our #OpenSource approach - based on the @tiltfive hardware - to visualize molecular #structures in #3D for #education & #research & #development purposes.
New #openaccess publication #SciPost #Physics
Critical behavior of a phase transition in the dynamics of interacting populations
Thibaut Arnoulx de Pirey, Guy Bunin
SciPost Phys. 18, 051 (2025)
https://scipost.org/SciPostPhys.18.2.051
1,300 students, faculty members ask IISc to cancel India-Israel business meet – https://maktoobmedia.com/india/1300-students-faculty-members-ask-iisc-to-cancel-india-israel-business-meet/
#israel #thinkindia #india #iisc #genocide #scholasticide #business @palestine
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 \((x)_n := x(x+1)\cdots(x+n-1)\).
