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#arnab — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #arnab, aggregated by home.social.

  1. 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 \((x)_n := x(x+1)\cdots(x+n-1)\).

    #pi #ArnabPriyaSaha #AnindaSinha #IISc #IndianInstituteOfScience #PochhammerSymbol #Pochhammer #Madhava #MadhavaSeries #Lambda #series #Formula #Saha #Sinha #Arnab #Aninda

  2. 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 \((x)_n := x(x+1)\cdots(x+n-1)\).

    #pi #ArnabPriyaSaha #AnindaSinha #IISc #IndianInstituteOfScience #PochhammerSymbol #Pochhammer #Madhava #MadhavaSeries #Lambda #series #Formula #Saha #Sinha #Arnab #Aninda

  3. 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 \((x)_n := x(x+1)\cdots(x+n-1)\).

    #pi #ArnabPriyaSaha #AnindaSinha #IISc #IndianInstituteOfScience #PochhammerSymbol #Pochhammer #Madhava #MadhavaSeries #Lambda #series #Formula #Saha #Sinha #Arnab #Aninda

  4. 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 \((x)_n := x(x+1)\cdots(x+n-1)\).

    #pi #ArnabPriyaSaha #AnindaSinha #IISc #IndianInstituteOfScience #PochhammerSymbol #Pochhammer #Madhava #MadhavaSeries #Lambda #series #Formula #Saha #Sinha #Arnab #Aninda

  5. The media #Superman ( #Arnab ) challenges the super rich spoiled brat who was gifted a multi-crore valued car by his super rich father only to go on a super killing spree in Kalyani Nagar.The super indulgent judge behaved like an uncle. Watch for the interview on #RepublicBharat

  6. அர்னாப் கோஸ்வாமி வாட்ஸ்ஆப் விவகாரம் - நாடாளுமன்ற கூட்டு கமிட்டி அமைக்க கோரும் என்சிபி!

    patrikai.com/ncp-asks-to-form- #ncp #jpc #WhatsApp #chatmatter #Arnab

  7. Reading between lines: Only if it’s state govt. If it’s union government, we don’t care.
    ---
    RT @LiveLawIndia
    [Breaking] "If State Govts Targets Individual They Must Realise That SC is Here To Protect Them": Supreme Court Grants Interim Bail To #ArnabGoswami [Full Courtroom Exchange]

    livelaw.in/top-stories/live-up

    #ArnabGoswai
    #Arnab
    #Sup
    twitter.com/LiveLawIndia/statu

  8. malayalam.asiavillenews.com/ar സംസ്ഥാന സർക്കാരുകൾ വ്യക്തികളെ ടാർഗറ്റ് ചെയ്യുകയാണെങ്കിൽ പൗരന്മാരുടെ സ്വാതന്ത്ര്യം സംരക്ഷിക്കാൻ സുപ്രീം കോടതി ഉണ്ടെന്ന് അവർ മനസ്സിലാക്കണമെന്നും കോടതി.
    #ArnabGoswami #Arnab

  9. malayalam.asiavillenews.com/ar ഇന്റീരിയർ ഡിസൈനർ അൻവേ നായിക്കിന്റെ ആത്മഹത്യാ പ്രേരണക്കേസിൽ അറസ്റ്റിലായ റിപ്പബ്ലിക് ടിവി എഡിറ്റർ അർണബ് ​ഗോസ്വാമിക്ക് സുപ്രീംകോടതി ജാമ്യം അനുവദിച്ചു. #Arnab #ArnabGoswami