Thimothy GowersChaire CombinatoireCollège de FranceAnnée 2025-2026Séminaire - La philosophie de la pratique des mathématiques - Carolin Antos : Reasoning with Specifics—the Use of Examples in MathematicsCarolin AntosUniversité de Konstanz

Thimothy GowersChaire CombinatoireCollège de FranceAnnée 2025-202601 - Entropie et combinatoire : Axiomes et propriétés fondamentales de l'entropie

The source text outlines the concept, architecture, and strategic plan for the Phonetic Shape System (PSS), a proposed universal system for cataloging sound based on mathematical and topological features rather than traditional alphabetic symbols. Initially inspired by music, the core idea is formalized into a revolutionary approach to phonetics, where speech sounds are represented by animated "sound shapes" that map directly to vocal tract articulation and acoustic properties. The text then ...

We unpack the P vs NP question—the difference between solving a problem and verifying a solution quickly. Learn what P and NP mean, why NP-complete problems like Sudoku and SAT matter, and how a proof (or refutation) would ripple through cryptography, AI, and optimization. Plus, we explore the real-world stakes of this Millennium Prize Problem and what it would mean for science and technology. Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any cri...

We unpack Jacobi fields along geodesics as the link between curvature and how nearby paths behave. From the sphere’s converging/diverging geodesics to negative curvature and chaotic divergence, we explore the Jacobi equation, conjugate points, and how these ideas illuminate stability, shortest paths, and even concepts in general relativity. Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information. Sponsored by Embersilk LLC

From Conway and Guy’s 1966 question about a uniform tetrahedron to modern demonstrations of monostability via uneven weight, this episode unpacks a surprisingly deep journey. We delve into the idea of an obtuse path that fixes the center of mass in a tiny stable zone, the brutal engineering math that demands a heavy core thousands of times denser than the light shell, and the real-world challenges of making that physics work with carbon fiber frames, tungsten carbide cores, and glue tolerance...

Join host Tiana Zhao as she explores the cutting-edge trends reshaping the insurance landscape. From AI-driven underwriting to climate-focused products, this episode of the SOA Marketing and Distribution podcast dives deep into the technological and societal shifts transforming how we think about risk and protection. Discover how insurtech startups, IoT devices, and changing consumer expectations are driving innovation in product design, distribution channels, and customer experience. Whether you're

古美術雜誌編輯–一期雜誌的產生 團隊分工 與 流程 編輯的工作：溝通：內與外；最難與最需學習的 博物館怎麼看 故宮百年特展[YesKnotes](https://chtsao.gitlab.io/pmod/posts/ykt.111.artouch.editor/ )

Number of the Day - "381" This podcast is produced by Klassic Studios. Check out our other podcasts there! Learn more about your ad choices. Visit megaphone.fm/adchoices

Grant Sanderson is the creator of the coolest math youtube channel, "3blue1brown". In this interview, Grant and Mura chat about a bunch of different topics, such as feelings towards abstract math, and even hear Grant read a piece from his poem. Enjoy Grant's beautiful thoughts and exquisite English!Grant's channel: youtube.com/ 3blue1brownGrant's homepage: 3blue1brown.com/aboutGrant's poetry: 3blue1brown.com/blog/poemsThe Math-life balance YouTube channel:

In deze aflevering onderzoeken we de voetafdruk van rekenkracht. We rekenen en simuleren op supercomputers*. We plaatsen dit naast de groeiende vraag door systemen zoals ChatGPT en de explosieve uitbreiding van datacenters. We kijken naar de hele keten: van de drones die ingezet worden om zoveel mogelijk data te verkrijgen, de verkoeling van datacenters, tot aan programmeertalen die efficiënter zijn. Jij hebt een verantwoordelijkheid als gebruiker van deze systemen, maar we benadrukken vooral wat

Anders Larson and Shea Parkes discuss using GenAI applications with coding agents to simulate healthcare costs.  They revisit the distinction between large language models (LLMs) and the applications that wrap them.  They then use some newer GenAI application functionality to generate some simulated healthcare cost distributions.  During their discussion they explore what domain knowledge the modern LLMs already have, and how to supplement that with their own domain expertise.

Aquí compartimos una visión general de las incrustaciones de palabras o word embeddings, explicando que son representaciones numéricas de palabras, a menudo como vectores, que capturan sus relaciones semánticas y contextuales. La necesidad de transformar texto sin formato en números surge de la incapacidad de la mayoría de los algoritmos de aprendizaje automático para procesar texto sin formato, lo que convierte a las incrustaciones de palabras en una herramienta fundamental en el procesamiento del

Kim Montague, I Have, You Need: The Utility Player of Instructional Routines ROUNDING UP: SEASON 4 | EPISODE 3 In sports, a utility player is someone who can play multiple positions competently, providing flexibility and adaptability. From my perspective, the routine I have, you need may just be the utility player of classroom routines. Today we're talking with Kim Montague about I have, you need and the ways it can be used to support everything from fact fluency to an understanding of algebraic

In this episode of Now I Get It, I explore why simply memorizing formulas in math—or blindly trusting any model—can lead to catastrophic outcomes. I take a hard look back at the financial meltdown and show how a lack of deep understanding, not just fraud, helped steer us into crisis. It wasn’t that the models themselves were flawed; it was that people used them without grasping their limits, breaking the very assumptions they were built on.From there, I connect the dots to today’s frontier:

The mathematical area of topology is all about figuring out what truly defines a shape. Famously, topologists consider a coffee cup to be the same as a doughnut because one can be turned into the other without cutting or gluing — what defines and relates these two shapes for a topologist is that they have a single hole.As you might imagine, if you have ever tried to drink coffee out of a doughnut, topology has traditionally been part of pure mathematics. Topological data analysis (TDA), however,

In this Flashcard Friday follow-up to Tuesday’s interview with Dr. Kanisorn Wongsrichanalai of the Massachusetts Historical Society, we revisit the numbers that changed the course of history. During the Revolutionary War, smallpox was more dangerous to the Continental Army than the British. By comparing mortality rates, George Washington made a bold, science-driven choice: inoculate his troops. The math was simple but profound, 30% risk of death without inoculation versus just 2% with it. This

We start with Steno’s law and the idea that older stuff lies deeper, then ride into the archaeologist’s toolkit for turning messy ground into a timeline: the Harris Matrix, context by context. You’ll learn why physical height isn’t a guaranteed guide to age, what reverse or inverted stratigraphy looks like in the real world, and how deposits can be disturbed by people and nature to flip the apparent order. We’ll unpack common pitfalls—palimpsests, bioturbation, and redeposited fills—and show ...

We dive back into the Mesozoic to trace ichthyosaurs from land reptiles to apex marine predators. Learn how their convergent body plan, thunniform swimming, huge eyes, warm-blooded metabolism with insulation, and live birth powered a vast oceanic empire—and why a changing world eventually reshaped their fate. We also recount Mary Anning’s role in their discovery and what this saga reveals about specialization and ocean change today. Note: This podcast was AI-generated, and sometimes AI can m...

Neste episódio semanal, você irá descobrir a estatística por trás de uma relação pouco convencional, fraldas e cerveja. Essa relação pode ser pouco comum, mas é explicada cientificamente pela Análise de Associação.