Introducing Claude Opus 4.7, our most capable Opus model yet.
It handles long-running tasks with more rigor, follows instructions more precisely, and verifies its own outputs before reporting back.
You can hand off your hardest work with less supervision.
Bernhard Riemann died in 1866 at the age of 39. Here is a list of things named after him.
Riemann bilinear relations
Riemann conditions
Riemann form
Riemann function
Riemann–Hurwitz formula
Riemann matrix
Riemann operator
Riemann singularity theorem
Riemann surface
Compact Riemann surface
The tangential Cauchy–Riemann complex
Zariski–Riemann space
Cauchy–Riemann equations
Riemann integral
Generalized Riemann integral
Riemann multiple integral
Riemann invariant
Riemann mapping theorem
Measurable Riemann mapping theorem
Riemann problem
Riemann solver
Riemann sphere
Riemann–Hilbert correspondence
Riemann–Hilbert problem
Riemann–Lebesgue lemma
Riemann–Liouville integral
Riemann–Roch theorem
Arithmetic Riemann–Roch theorem
Riemann–Roch theorem for smooth manifolds
Grothendieck–Hirzebruch–Riemann–Roch theorem
Hirzebruch–Riemann–Roch theorem
Riemann–Stieltjes integral
Riemann series theorem
Riemann sum
Riemann–von Mangoldt formula
Riemann hypothesis
Generalized Riemann hypothesis
Grand Riemann hypothesis
Riemann hypothesis for curves over finite fields
Riemann theta function
Riemann Xi function
Riemann zeta function
Riemann–Siegel formula
Riemann–Siegel theta function
Free Riemann gas
Riemann invariant
Riemann–Cartan geometry
Riemann–Silberstein vector
Riemann-Lebovitz formulation
Riemann curvature tensor
Riemann tensor
Riemannian graph
Riemannian group
Riemannian holonomy
Riemannian manifold also called Riemannian space
Riemannian metric tensor
Riemannian Penrose inequality
Riemannian polyhedron
Riemannian singular value decomposition
Riemannian submanifold
Riemannian submersion
Riemannian volume form
Riemannian wavefield extrapolation
Sub-Riemannian manifold
Riemannian symmetric space
Riemann's differential equation
Riemann's existence theorem
Riemann's explicit formula
Riemann's minimal surface
Riemann's theorem on removable singularities
I had dinner once with a top physicist and a top computer scientist and asked what they thought the probability was that we were in a simulation.
They answered simultaneously at 0% and 100% respectively. It was like a double-slit experiment, but with humans.
Indian democracy!
A person who works hard, pays taxes, follows rules, shows civic sense, and genuinely wants the country to progress has exactly the same electoral value as a selfish, freeloading, law-breaking, corrupt person with zero civic sense.
The problem is that the latter exist in far greater numbers. And politicians know it. So policies are naturally designed to squeeze the productive, tax-paying minority and redistribute it to the freeloading majority, because that is where the votes are.
Ten years ago, AlphaGo’s legendary match in Seoul heralded the start of the modern era in AI. Its famous ‘Move 37’ signaled to us that AI techniques were ready to tackle real-world problems in areas like science - and ideas inspired by these methods are critical to building AGI
𝐁𝐈𝐓𝐒 𝐏𝐢𝐥𝐚𝐧𝐢 𝐞𝐧𝐭𝐞𝐫𝐬 𝐚 𝐧𝐞𝐰 𝐞𝐫𝐚 𝐨𝐟 𝐚𝐝𝐦𝐢𝐬𝐬𝐢𝐨𝐧𝐬, 𝐚𝐧𝐧𝐨𝐮𝐧𝐜𝐢𝐧𝐠 𝐭𝐮𝐢𝐭𝐢𝐨𝐧-𝐛𝐥𝐢𝐧𝐝 𝐚𝐝𝐦𝐢𝐬𝐬𝐢𝐨𝐧𝐬 𝐟𝐨𝐫 𝐭𝐡𝐞 𝐭𝐨𝐩 𝟓𝟎𝟎 𝐁𝐈𝐓𝐒𝐀𝐓 𝐫𝐚𝐧𝐤𝐞𝐫𝐬.
𝐄𝐟𝐟𝐞𝐜𝐭𝐢𝐯𝐞 𝐀𝐘 𝟐𝟎𝟐𝟔–𝟐𝟕:
• Full tuition scholarship for all four years
• Eligible students with annual family income up to ₹20 lakh
• Subject to maintaining a minimum CGPA of 7.5 at their respective campuses
• Assurance built directly into the admission offer
In the last academic year, BITS Pilani disbursed ₹132 crore in scholarships, supporting one in four students. Enabled by growing alumni support and sustained institutional investment, the Institute aims to expand tuition-blind admissions progressively.
As Prof. V Ramgopal Rao, Group Vice Chancellor, states:
“We have invested heavily in scholarships for years, but tuition blind admissions for our top 500 BITSAT rankers is a defining step. If you have the talent, money should not come in the way.”
Apply now: https://t.co/07xHuLwC7x
#BITSAT2026 #TuitionBlindAdmissions #HigherEducation
अब तो बंट गए...
बस कटना बाकि है...
शुक्रिया @dpradhanbjp 🙏
देश का सामान्य वर्ग, मध्यम वर्ग, ईमानदारी से टैक्स देने वाला वर्ग, बिना आरक्षण पढ़ाई करने और नौकरी पाने वाला वर्ग... इसी लायक है कि उसके साथ अभी और नाइंसाफी हो...उसका और शोषण हो...उसको गाली मिले..उसको सड़क पर पीटा जाए...उसे झूठे मामलों में फंसाया जाए...जेल में डाला जाए...और कोई कानून उसका बचाव न कर पाए...इसी लायक है ये वर्ग... बढ़िया काम कर रहे हैं आप 🙏
#ugc
@Mahesh10816 Great idea, Sir 🙏. There should be a platform where we can connect and help each other. I'm ready to contribute my part and assist any student with math related queries .
@elonmusk I admire your deep passion for math, tackling everything from complex equations to AI algorithms. Your curiosity fuels breakthroughs at Tesla, SpaceX, and xAI, inspiring millions to geek out on numbers. Keep pushing boundaries! 🚀 @elonmusk
@neha_laldas With OBC representation in convict stats (37.3%) far higher than General (26.9%), yet reservation remains their privilege. Is it not time to redefine who actually needs support? @neha_laldas
I stand with Anuradha Tiwari @talk2anuradha and Neha Das @neha_laldas, in solidarity against the unjust targeting and harassment for speaking truth to power. Your courage in advocating for merit, equality, and against divisive policies inspires many. (cont.)
IT cells or hateful commentators is a beacon of strength. You've built a movement for Merit. Don't let the noise deter you; history favors the brave. Keep fighting the good fight. We're with you every step of the way. With respect and admiration 🙏 🙏🙏