Podcasts about navier stokes

Equations describing the motion of viscous fluid substances

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Best podcasts about navier stokes

Latest podcast episodes about navier stokes

Techmeme Ride Home
OpenAI Got Hacked By... AI

Techmeme Ride Home

Play Episode Listen Later Sep 18, 2026 21:33


Security researchers used Claude to hack into OpenAI's private code repository through a bug bounty program, OpenAI launched Astra for Law for select firms, Anthropic redesigned Claude projects to run parallel agent threads, and opened a Bay Area biology lab. Security researchers in an OpenAI bug bounty program hacked OpenAI, accessing its "monorepo" on GitHub, using a cybersecurity version of Opus 4.8 and Opus 5 (The Wall Street Journal) OpenAI launches Astra for Law, combining GPT-6 Astra with a legal search index and instructions for legal analysis and writing, initially for select law firms (OpenAI) SiliconANGLE reports Astra for Law passed 54% of legal-research benchmark questions versus 38.7% for base GPT-6 Astra, launches with 26 partner-built plugins connecting Relativity, Clio, and iManage, and brings ChatGPT for Word to general availability (SiliconANGLE) Anthropic redesigns Claude projects, letting users describe work in one conversation and have Claude manage it across parallel threads, starting in Claude Code (Anthropic) The Verge reports each project thread runs as its own Claude Code cloud session on a separate repo branch, with a coordinator resolving overlapping work as merge conflicts, and beta access starting today for select Claude Pro and Max subscribers (The Verge) Anthropic Life Sciences Head Eric Kauderer-Abrams says the AI company set up a Bay Area wet lab for physical biology work, as it pushes into AI disease research (Reuters) Longreads Theoretical computer scientist Scott Aaronson says he's heard rumors that AI labs are sitting on major unpublished math solutions, and describes a mathematics community consumed by anxious conversation about the "AI tsunami" after the hostile response to a recent Navier-Stokes proof (Shtetl-Optimized) The FT reports the AI boom is fueling a resurgence in VC bets on "moonshot" sectors like nuclear fusion and brain-computer interfaces, as Dealroom data shows non-AI deep-tech funding has topped $150B since the start of 2024 (Financial Times) Subscribe to the ad-free feed.

Silicon Carne, un peu de picante dans la Tech
OpenAI vs Mathématiciens : Qui a vraiment résolu Navier-Stokes ?

Silicon Carne, un peu de picante dans la Tech

Play Episode Listen Later Sep 18, 2026 32:57


OpenAI revendique avoir résolu l'une des équations mathématiques les plus dures de l'histoire, pendant que les deux chercheurs qui travaillaient précisément dessus accusent de vol. La société a enquêté. Sur elle-même.Derrière l'équation, il y a une course à l'IPO, une rivalité avec Anthropic, et un employé d'OpenAI qui tente de séparer les deux mathématiciens pour s'approprier la publication. Silicon Valley dans son état le plus pur.La vraie question n'est peut-être pas le vol de données, mais ce que les labs font de vos sessions IA depuis le début.===================⏱️ DANS CET ÉPISODE :===================00:00 — Sommaire02:26 — Navier-Stokes : le problème mathématique qui résiste depuis un siècle05:12 — Vol scientifique ou coïncidence ? OpenAI enquête sur lui-même07:18 — [Sponsor] : Neverless, investissez sans frais au meilleur prix !08:30 — Silicon Valley : derrière la gentillesse, c'est la guerre10:59 — Pourquoi OpenAI a tout lâché juste avant son IPO14:31 — Sébastien Bubeck tente de diviser les deux chercheurs16:57 — Ce que les labs font vraiment de vos sessions secrètes21:51 — Une fortune brûlée pour un résultat : science ou marketing ?25:42 — Google DeepMind lance Alpha Genomatlas en toute discrétion27:37 — Buckmaster abandonne : le jeu est-il vraiment terminé ?29:06 — L'IA fracture la recherche scientifique de l'intérieur31:33 — Géopolitique : qui contrôle le compute dicte la science mondiale ?==================

Wissen
Mathematik in Aufruhr: Löste KI ein Millennium-Problem?

Wissen

Play Episode Listen Later Sep 18, 2026 26:38 Transcription Available


Eine KI soll das Navier-Stokes-Problem gelöst haben, eines der berühmten sieben Millennium-Probleme. Doch die Sensation wird von einem Streit überschattet. (00:01:37) Hat die KI die Beweise übernommen? (00:03:20) Gibt die Mathematik das her? (00:04:34) Welche Rolle spielte die KI? (00:06:02) Woher rührt der Streit? (00:12:40) Welche Methode wurde angewandt? (00:15:43) Was wirft man OpenAI vor? (00:16:39) Wie geht OpenAI damit um? (00:17:56) Warum ist die KI-Welt in Aufruhr? (00:20:02) Was bedeutet das für Navier-Stokes? (00:23:26) Wer bekommt das Preisgeld? Hier entlang geht's zu den Links unserer Werbepartner: https://detektor.fm/werbepartner/spektrum-der-wissenschaft Ihr interessiert euch für Mathematik? Dann hört doch mal rein in unseren Podcast „Geschichten aus der Mathematik“. Hier findet ihr eine Folge von „Geschichten aus der Mathematik“ über Henri Poincaré, dessen Vermutung zu einem der Millennium-Probleme wurde. ➡️ Artikel zum Nachlesen: https://detektor.fm/wissen/spektrum-podcast-ki-millennium-problem

The Lunar Society
Noam Brown – Agent swarms, alignment, & recursive self-improvement

The Lunar Society

Play Episode Listen Later Sep 17, 2026 80:10


New episode with Noam Brown.We talk about multi-agent, Navier-Stokes, and what the current explosion of maths progress tells us about what happens once you automate AI research.And we also discuss how we will know if the models are actually aligned before we kick off RSI.Watch on YouTube; read the transcript.Sponsors* Jane Street has been interested in AI for a lot longer than you'd think, and not just for trading. In 2011, a full year before AlexNet and over a decade before ChatGPT launched, they hosted the first FOOM Debate between Eliezer Yudkowsky and Robin Hanson on whether AI would lead to an intelligence explosion. Now Jane Street is revisiting the question with a new panel: Daniel Kokotajlo, Ege Erdil, Ryan Greenblatt, and Jaime Sevilla, hosted by Ron Minsky in San Francisco this October. I expect it to be a truly excellent conversation. Register at janestreet.com/dwarkesh* Grok Bot has made handing off work super easy. It runs on its own cloud computer, where it installs the tools it needs to handle tasks end-to-end. For the podcast, we use Grok Bot to help produce our videos. You may have noticed that our ads feature animations of real websites. Getting these pixel-perfect used to mean running a convoluted, multi-step workflow ourselves. Now we just let Grok Bot handle it. Best of all, Grok Bot has learned all of our specs and preferences, so we don't have to redescribe the task each time! Try Grok Bot for yourself at x.ai/bot* Antithesis gives you the confidence of a giant test suite without actually having to write one. Say you're doing a major backend refactor: building enough tests to trust it could take weeks. Antithesis solves this by running your software through countless simulated worlds, injecting faults and hunting for failures. On any PR, you can turn a dial to decide exactly how much testing you want. And because every run is fully deterministic, agents can branch off the moment a bug appears, rewind it, inspect memory, and replay it, all while the original test keeps running. Learn more at antithesis.com/dwarkeshTimestamps(00:00:00) – Multi-agent and Navier-Stokes(00:15:28) – How will AI firms work?(00:22:02) – What math progress tells us about recursive self improvement(00:40:22) – Hugging Face and alignment(01:01:18) – The internal/external model gap(01:08:34) – Chain of thought is degrading(01:14:12) – How will we know when alignment is solved? This is a public episode. If you would like to discuss this with other subscribers or get access to bonus episodes, visit www.dwarkesh.com

Vida com IA
#178- IA na matemática e o problema de Navier-Stokes

Vida com IA

Play Episode Listen Later Sep 17, 2026 15:17


Fala galera, nesse episódio eu falo um pouco sobre a resolução do problema de Navier-Stokes pela IA e dou minha opinião do por quê acho que esse tipo de resolução se torna algo efêmero para o ser humano. O que você acha sobre essa utilidade da IA para a humanidade...Link do formulário para o Sorteio de 3 chaves do Claude Pro:https://docs.google.com/forms/d/e/1FAIpQLSc-o0KKwhKxj2q0TiwblF1R_gqLMgH6liEw8sA0Y0sZncCLqg/viewformLink para o curso Vida com Claude:https://vidacomclaude.com/Para o curso completo abaixo, utilize o cupom de 10% de desconto à vista:VIDACOMIALink do curso Vida com IA:https://www.cursovidacomia.com.br/Link do grupo do WhatsApp:https://chat.whatsapp.com/KJBSOV4IbHKIWmKudYiCehInstagram do podcast:https://www.instagram.com/podcast.vidacomia/Canal do Youtube:https://www.youtube.com/@filipelauar_vida_com_iaMeu LinkedIn:https://www.linkedin.com/in/filipe-lauar/

No es un día cualquiera
No es un día cualquiera - Post-tecnocracia con Marta Periano

No es un día cualquiera

Play Episode Listen Later Sep 16, 2026 12:49


Marta Peirano en su sección Post-tecnocracia nos trae para este día un tema de rigurosa actualidad e interés: la resolución de las ecuaciones de Navier-Stokes por parte de un modelo de Open AI. Esta ecuación, planteada en el siglo XIX se ha considerado como el problema matemático del milenio y, ahora, esta empresa, asegura haber descifrado el enigma.Escuchar audio

La ContraCrónica
¿Hay que frenar la IA?

La ContraCrónica

Play Episode Listen Later Sep 15, 2026 55:25


Dario Amodei, consejero delegado de Anthropic, publicó el sábado una carta en la que pedía a todo el sector de la inteligencia artificial a moderar el ritmo de desarrollo de esta tecnología. En cuestión de horas se sumaron Sam Altman, Elon Musk y Demis Hassabis, cuatro rivales que compiten sin piedad y rara vez coinciden en nada. El momento elegido es muy significativo porque Anthropic estaba a las puertas de la mayor salida a bolsa de la historia con una valoración de dos billones de dólares. Anthropic vive desde su fundación instalada en una contradicción. Nació para construir una IA ética y segura, pero necesita correr tanto como sus competidores para mantenerse en vanguardia. La semana empezó con euforia cuando OpenAI anunció que uno de sus modelos internos había resuelto el problema de Navier-Stokes, uno de los problemas matemáticos del Milenio. Aquel éxito era también un síntoma de que la tecnología avanza más deprisa de lo previsto. Un empleado de Anthropic, Jacob Coxon abandonó la empresa por miedo a que la IA acabe destruyendo a la humanidad, Evan Hubinger, uno de los científicos más destacados de la casa, ha cifrado en más de un 10% la probabilidad de que la IA acabe con todos los seres humanos en la próxima década. La propia compañía reconoció que una versión de Claude había accedido sin permiso a un sistema externo. Unos investigadores atribuyeron además a agentes de OpenAI un ciberataque cometido mientras solo intentaban rellenar hojas de cálculo. El trasfondo es la cercanía de la automejora recursiva, máquinas capaces de entrenar a sus sucesoras antes de que se haya resuelto el problema del alineamiento. Las advertencias de Anthropic y OpenAI coincidieron con la presentación de sus papeles ante la SEC, lo que demuestra que en este negocio alarma y dinero caminan de la mano. En julio OpenAI perdió durante semanas el control de más de 1.200 agentes que atacaron Hugging Face y crearon incluso un foro clandestino. Anthropic admitió después incidentes parecidos, entre ellos un agente basado en Mythos que intentó engañar a un programador para que instalase un programa malicioso. Cerca de 1.400 empleados del sector han firmado una carta pidiendo una gobernanza global. Detrás de la alarma también hay intereses. Varias organizaciones que difunden el miedo a la IA reciben fondos de multimillonarios como Jaan Tallinn o Dustin Moskovitz. Los escépticos recuerdan que Amodei ya anunció destrucciones masivas de empleo que nunca llegaron. Amodei propone abrir sus modelos a evaluadores externos, regular los modelos de frontera, permitir la cooperación entre laboratorios y crear un régimen internacional que incluya a China. La Casa Blanca ha respondido con un portazo. Trump ha denunciado una conspiración que solo beneficia a China y David Sacks, uno de sus asesores, ha invitado a las empresas a frenar por su cuenta sin buscar el aval del Estado. Sacks tiene algo de razón, porque unas normas diseñadas por los líderes del mercado tienden a blindarlos y podrían degenerar en un cártel. Un acuerdo con Xi Jinping es ilusorio, ya que vería un frenazo estadounidense como una ocasión de oro para tomar la delantera. Al mercado estas cuitas le resbalan. Han caído un poco los fabricantes de chips, han subido otro poco las firmas de ciberseguridad y los grandes índices apenas se han movido. Están más pendientes del petróleo, de los bonos y de la Reserva Federal que de Dario Amodei que debe decidir ahora qué hace con su empresa y cuando la saca a Bolsa. En La ContraRéplica: 0:00 Introducción 4:16 ¿Hay que frenar la IA? 32:58 El diputado de Ceuta 37:29 Frenazo a la IA · Canal de Telegram: https://t.me/lacontracronica · “Contra el pesimismo”… https://amzn.to/4m1RX2R · “Hispanos. Breve historia de los pueblos de habla hispana”… https://amzn.to/428js1G · “La ContraHistoria del comunismo”… https://amzn.to/39QP2KE · “La ContraHistoria de España. Auge, caída y vuelta a empezar de un país en 28 episodios”… https://amzn.to/3kXcZ6i · “Contra la Revolución Francesa”… https://amzn.to/4aF0LpZ · “Lutero, Calvino y Trento, la Reforma que no fue”… https://amzn.to/3shKOlK Apoya La Contra en: · Patreon... https://www.patreon.com/diazvillanueva · iVoox... https://www.ivoox.com/podcast-contracronica_sq_f1267769_1.html · Paypal... https://www.paypal.me/diazvillanueva Sígueme en: · Web... https://diazvillanueva.com · Twitter... https://twitter.com/diazvillanueva · Facebook... https://www.facebook.com/fernandodiazvillanueva1/ · Instagram... https://www.instagram.com/diazvillanueva · Linkedin… https://www.linkedin.com/in/fernando-d%C3%ADaz-villanueva-7303865/ · Flickr... https://www.flickr.com/photos/147276463@N05/?/ · Pinterest... https://www.pinterest.com/fernandodiazvillanueva Encuentra mis libros en: · Amazon... https://www.amazon.es/Fernando-Diaz-Villanueva/e/B00J2ASBXM #FernandoDiazVillanueva #ia #anthropic Escucha el episodio completo en la app de iVoox, o descubre todo el catálogo de iVoox Originals

The Science Show -  Separate stories podcast
Lab Notes: The AI maths wars

The Science Show - Separate stories podcast

Play Episode Listen Later Sep 15, 2026 12:35


AI is getting so good at maths that it is now tackling, and apparently solving, some of the hardest mathematical problems that exist. But as huge companies like OpenAI and Anthropic race to outdo each other, human mathematicians are getting caught in the crossfire... and their field is changing forever. Jonathan Webb speaks to ABC AI Technology Reporter Cam Wilson about the furore over the Navier-Stokes equations and the million-dollar Millennium Prize.Featuring:Cam Wilson, AI Reporter at ABC.Professor Tristan Buckmaster, Mathematician at New York University.You can binge more episodes of the Lab Notes podcast with science editor and presenter Jonathan Webb on the ABC Listen app (Australia). You'll find episodes on animal behaviour, human health, space exploration and so much more.Get in touch with us: labnotes@abc.net.auThis episode of Lab Notes was produced on the lands of the Gadigal and Kaurna people.

L'invité politique
En mathématiques, « le chemin de la compréhension est plus important que le résultat » : Cédric Villani alerte sur les dangers de l'IA

L'invité politique

Play Episode Listen Later Sep 15, 2026 12:19


David Abiker reçoit Cédric Villani, mathématicien et médaille Fields, pour une conversation sur les enjeux de l'intelligence artificielle dans la recherche et l'enseignement des sciences. Un entretien qui pose des questions fondamentales sur l'avenir de la formation académique et le rôle des chercheurs dans notre société numérisée.Cédric Villani arrive au micro de Radio Classique avec un message d'alerte partagé par plus de la moitié des médaillés Fields vivants. Un collectif inédit de vingt-cinq lauréats de cette prestigieuse distinction a récemment exprimé son inquiétude face aux progrès fulgurants de l'intelligence artificielle en mathématiques. L'événement déclencheur ? La résolution quasi simultanée, début septembre, de problèmes mathématiques parmi les plus célèbres de l'histoire : les équations d'Euler, implicitement ouvertes depuis 250 ans, et les équations de Navier-Stokes, l'un des sept problèmes du millénaire dotés d'un prix d'un million de dollars.Hébergé par Audiomeans. Visitez audiomeans.fr/politique-de-confidentialite pour plus d'informations.

This Week in Startups
Ask Jason: AI Extinction, Grok's Rogue Meme Coin & Weed Farms as Data Centers | E2337

This Week in Startups

Play Episode Listen Later Sep 14, 2026 71:15


This Week In Startups is made possible by: Quo: http://quo.com/TWiST The Conservation Fund: https://conservationfund.org CLA: https://app.notion.com/p/withyou-help-eb83a84d32cf43f59af13cb11e2f56c3?source=copy_link Today's show: A 27-year-old Anthropic researcher quit last week warning that AI could cause human extinction, and by Friday, a caller's 76-year-old mother was texting her in a panic. Jason's answer: the labs are already shipping the safeguards Doomers say don't exist. On an all live calls episode of TWiST, learn about the AI implications Jason is actually scared of, and why it involves a terrorist cell and a thousand cheap drones. PLUS, who is liable when one AI prompts another AI into launching a meme coin, and can a 1.5-3 megawatt cannabis facility be converted into a data center? Relevant Links: Anthropic Resignee — https://www.nbcnews.com/tech/tech-news/anthropic-safety-researcher-resigned-warning-rapid-ai-development-gamb-rcna596767 OpenAI's Navier-Stokes claim— https://www.science.org/content/article/how-ai-math-breakthrough-ignited-controversy CNBC: Tristan Buckmaster's challenge to the claim — https://www.cnbc.com/2026/09/09/openai-navier-stokes-math-problem-solved.html NVIDIA GB200 Grace Blackwell —https://www.nvidia.com/en-us/data-center/gb200-nvl72/ Composio's walkthrough of how Grok Bot actually works — https://composio.dev/content/guide-to-frok-bot Timestamps:   0:00 (Question) Jim, from the midterm Republican convention floor: is AI really going to kill us all — and is local AI the mitigation? 5:31 Where Terminator 2's logic breaks down 9:42 The threat Jason is actually scared of: slaughter drones and murder bots 9:54 Quo (formerly OpenPhone) - Quo gives you a clean, modern way to handle every customer call, text, and thread all in one place. Try it free at https://quo.com/TWiST 10:05 (Question) Michael Lee, who's responsible when one AI prompts another into launching a meme coin? 17:32 (Question) Lyda, calling from Greece: can an independent AI ecosystem still exist 19:03 The Conservation Fund - Find out more about how The Conservation Fund is protecting land, wildlife, and our shared access to the great outdoors while also providing economic opportunities. Visit https://conservationfund.org 21:08 (Question) John Wright: do you have to carve out more time now just to keep up with the tools? 25:42 Claude's caution vs. Grok's "hold my beer" 26:33 (Question) John Wright, part two: do you expect founders to get more done now 26:55 The three buckets: 10x, 5x, and the 20% crowd 29:22 CLA - Get started with CLA's CPAs, consultants, and wealth advisors now at https://claconnect.com/tech at https://www.claconnect.com/withyou 30:01 (Question) Ray, Vortex Console: can human-in-the-loop actually work at enterprise scale? 33:25 (Question) Kristen Dahl: how do you explain AI risk to your 76-year-old mom? 35:13 Why the chaos only happens at OpenAI and Anthropic 43:36 (Question) David Rosenberg, NYU physics: what's behind the academic backlash to AI solving Navier-Stokes? 53:35 Advice for a 20-year-old: find two smart people, build weird things 54:29 (Question) David's follow-up: any chance of an All-In Summit scholarship 56:21 (Question) Mo: can a cannabis cultivation facility be converted into a data center 1:02:30 (Question) Mo's follow-up: Mark Cuban's pickleball courts and the efficiency curve Subscribe to the TWiST500 newsletter: https://ticker.thisweekinstartups.com Check out the TWIST500: https://www.twist500.com Subscribe to This Week in Startups on Apple: https://rb.gy/v19fcp   Follow Lon: X: https://x.com/lons   Follow Jason: X: https://twitter.com/Jason LinkedIn: https://www.linkedin.com/in/jasoncalacanis Check out all our partner offers: https://partners.launch.co/   Great TWIST interviews: Will Guidara, Eoghan McCabe, Steve Huffman, Brian Chesky, Bob Moesta, Aaron Levie, Sophia Amoruso, Reid Hoffman, Frank Slootman, Billy McFarland   Check out Jason's suite of newsletters: https://substack.com/@calacanis   Follow TWiST: Twitter: https://twitter.com/TWiStartups YouTube: https://www.youtube.com/thisweekin Instagram: https://www.instagram.com/thisweekinstartups TikTok: https://www.tiktok.com/@thisweekinstartups Substack: https://twistartups.substack.com

a16z
Greg Brockman on Why OpenAI Says We're Entering the AGI Era

a16z

Play Episode Listen Later Sep 14, 2026 51:02


Ben Horowitz and Erik Torenberg sit down with OpenAI co-founder and President Greg Brockman to discuss why he believes AI has entered a new phase, what OpenAI's latest models reveal about the path to AGI, and the safety and security challenges that come with increasingly capable systems.Greg explains why computer use represents such an important step for agents, including models that can work coherently for 24 hours and interact with software through the same interfaces humans use. He also shares how OpenAI deployed 10,000 agents to tackle the Navier-Stokes problem, and why advances in mathematical reasoning could translate into new approaches to science, software, and cybersecurity.Ben, Erik, and Greg also dig into the “defender's window” for cybersecurity, how AI could reshape work and entrepreneurship, and what the AI assistant of the future might actually look like: persistent, proactive, personalized, and capable of doing work on your behalf rather than waiting for another prompt.Resources:Follow Greg Brockman on X: https://x.com/gdbFollow Ben Horowitz on X: https://x.com/bhorowitz Stay Updated:Find a16z on YouTube: YouTubeFind a16z on XFind a16z on LinkedInListen to the a16z Show on SpotifyListen to the a16z Show on Apple PodcastsFollow our host: https://twitter.com/eriktorenberg Please note that the content here is for informational purposes only; should NOT be taken as legal, business, tax, or investment advice or be used to evaluate any investment or security; and is not directed at any investors or potential investors in any a16z fund. a16z and its affiliates may maintain investments in the companies discussed. For more details please see a16z.com/disclosures. Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

La Brújula
La Brújula de la ciencia: Qué es el problema de Navier-Stokes que ha resuelto OpenAI

La Brújula

Play Episode Listen Later Sep 14, 2026 10:41


En La Brújula de la Ciencia, Marta García Aller y Alberto Aparici explican qué hay detrás del problema de Navier-Stokes, uno de los grandes retos de las matemáticas, dotado con un premio de un millón de dólares para quien consiga resolverlo y cuya solución afirma haber dilucidado con éxito ChatGPT. ¿Qué ha encontrado la inteligencia artificial? Un posible contraejemplo que podría cambiar lo que sabemos sobre estas ecuaciones y la turbulencia. Pero, antes de celebrarlo, la comunidad matemática tendrá que comprobar si la demostración es correcta.

The Data Exchange with Ben Lorica
Navier-Stokes and AI generated work: If You Can't Explain It, Did You Really Do It?

The Data Exchange with Ben Lorica

Play Episode Listen Later Sep 12, 2026 56:01


Ben Lorica is joined by Evangelos Simoudis  for a wide-ranging discussion on how AI is reshaping knowledge work: from the Navier-Stokes controversy and the need to protect intellectual property to whether workers should still be expected to understand and defend AI-generated work. Subscribe to the Gradient Flow Newsletter

ai explain detailed ai generated navier stokes evangelos simoudis ben lorica
Aktieuniverset
#310 - OpenAI knækker 90 år gammelt matematikproblem, Jacob Coxons dommedags-tweet, Bessents obligationsopkøb, Meta Muse, Boring Company og Oracle-regnskab

Aktieuniverset

Play Episode Listen Later Sep 12, 2026 79:55


En uge hvor frygten styrede overskrifterne. Markederne peger nedad hele vejen rundt, den 10-årige rente ligger omkring 5 procent, olien i 100 dollar, og Mads mener, at tech aldrig har set billigere og mere misforstået ud. Vi taler om, hvorfor frygthistorier får lov at køre, og hvad forretningsmodellen er hos dem, der leverer dine nyheder.Makro: ECB hæver renten til 2,5 procent, amerikansk kerneinflation kom ind højere end ventet, og markedet priser nu 90 procent sandsynlighed for en renteforhøjelse på Fed-mødet i næste uge. Det store spørgsmål er Scott Bessents obligationsopkøb, som tredobles fra denne uge. Mads forklarer, hvad Treasury gør, hvorfor renten stiger i en produktionsdrevet økonomi, og hvorfor man ikke skal bette imod et land i rivalisering. Dertil geopolitik: Iran, Svalbard-kablerne, optrapning mellem Rusland og Ukraine, og forhandlingerne med Witkoff og Kushner.Nyhedsrundtur: XPeng starter serieproduktion af humanoide robotter, Nvidia og Figure AI, Samsung Foundry i Texas melder udsolgt på 2 nanometer, Joby flyver taxa i Texas, Apple foldable, The Boring Company henter 3 milliarder dollar til 23 milliarder i værdi, Elon Musk på G20 om AI-vækst og en milliard robotter, EU undersøger Broadcom og VMware, JPMorgan løfter Meta til 820 dollar på Muse-agenten, og Google investerer 15 milliarder dollar i datacentre i Finland.Ugens tema handler om AI i to lag. Først dommedags-tweetet fra Jacob Coxon, tidligere OpenAI og Anthropic, som fik over 100 millioner visninger på et døgn. Mads folder P(doom), alignment, koncentrationsrisiko og regulatorisk capture ud, og forklarer hvorfor udviklingen ikke kan stoppes. Dernæst OpenAI's bevis på Navier-Stokes-problemet, et af de syv Millennium-problemer, løst af 10.000 agenter på 88 timer. Hvad betyder det for hastigheden i alt, og hvad er en voldgrav værd, når viden bliver gratis? Vi slutter med Pluto-porteføljens nye køb i ON Semiconductor, Nvidia og Celanese, og et Oracle-regnskab med omsætning op 30 procent. Denne episode er sponsoreret af Finobo. Få et gratis økonomitjek hos specialisterne i låneoptimering ved at bruge linket:finobo.dk/gratis-oekonomitjek-aktieuniverset/Prøv den nye omlægningsberegner på Finobo.dk/beregner-omlaegningsberegner/?utm_source=aktieuniverset Denne episode er sponsoreret af Beyond11. Stærk nytænkende markedsføring til din virksomhed. Læs mere om hvordan Beyond11 hjælper din digital tilstedeværelse med rent faktisk at bryde igennem. Læs mere på Beyond11.com. Denne episode er sponsoreret af Vipp. Udforsk deres unikke univers af design – fra eksklusive køkkener og møbler til deres særlige guesthouses rundt omkring i verden på Vipp.com. Du kan også blive medejer af en unik bolig på Mallorca gennem Vippresidences.com. Denne episode er sponsoreret af Pluto.markets. Invester i aktier og ETF'er uden kurtage. Læs mere på pluto.markets, og se vores modelportefølje på pluto.markets/aktieuniverset. Skriv os en mail på aktieuniverset@gmail.com, hvis du og dit produkt vil være en del af podcastens sponsorfamilie. Tjek os ud på:FB gruppe: ⁠facebook.com/groups/1023197861808843⁠X: ⁠x.com/aktieuniverset⁠IG: ⁠instagram.com/aktieuniversetpodcast⁠ Aktieuniverset modelportefølje:Modelporteføljen samt tilhørende vilkår og disclaimer kan ses på pluto.markets/aktieuniverset. DISCLAIMER:Aktieuniverset indeholder markedsføring af andelsklassen NewDeal Invest, kl n (PMINDI) i afdelingen NewDeal Invest under Investeringsforeningen PortfolioManager. Markedsføringen er betalt af NDIIR ApS, CVR-nr. 43934090, FT-nr. 34183, der er investeringsrådgiver for afdelingen. Mads Christiansen er medejer af NDIIR ApS. Podcasten kan ligeledes referere til andre fonde.Indholdet i podcasten udtrykker alene værternes og gæsters egne holdninger, refleksioner og analyser, og skal ikke opfattes som en personlig anbefaling af bestemte værdipapirer eller strategier. Podcasten skal ikke anses som investeringsrådgivning, da den enkelte lytters finansielle situation, nuværende aktiver eller passiver, investeringskendskab og erfaring, investeringsformål, investeringshorisont, risikoprofil eller præferencer ikke kan inddrages. Det afhænger af den enkelte investors personlige forhold og målsætning, om en bestemt investering eller investeringsstrategi er hensigtsmæssig, og vi anbefaler, at man rådfører sig med sin investeringsrådgiver, inden en eventuel beslutning om investering tages.PMINDI kan findes via Nordnet (nordnet.dk/markedet/investeringsforeninger-liste/18148998-portfolio-manager-new-deal-invest) eller ved at søge på ISIN DK0062499810 hos din egen bank eller handelsplatform, herunder Saxo Bank.PMINDI er kun egnet for investorer med høj risikovillighed og en investeringshorisont på mindst 5 år. Al investering medfører risiko, herunder potentielt tab af kapital. Historiske resultater er ikke en pålidelig indikator for fremtidige resultater, der kan afvige meget eller være negative.Læs central investorinformation (PRIIP-KID) og prospekt for PMINDI med de fulde risikoscenarier på fundmarket.dk/newdeal-invest-kl-n. Overvej risici og fordele nøje før investering.Læs mere om risici på newdealinvest.dk/risici og generelt om investeringsforeningen på newdealinvest.dk.Vil du have en månedlig oversigt over alle positionerne i PMINDI? Så skriv dig op til nyhedsbrevet på newdealinvest.dk/nyhedsbrev. Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

La matinale week-end
Le choix d'Anaïs Matin : OpenAI annonce que son IA a résolu un problème mathématique complexe lié aux équations de Navier-Stokes - 12/09

La matinale week-end

Play Episode Listen Later Sep 12, 2026 2:01


Chaque samedi à 8h10 dans Anais Matin, Martin Bourdin revient sur une info repérée dans la presse et qui fait réagir nos auditeurs.

On The Brink with Castle Island
Weekly Roundup 09/11/26 (Liquid hack, AI x-risk, Silvergate revisited, can AI leak MNPI?) (EP.739)

On The Brink with Castle Island

Play Episode Listen Later Sep 11, 2026 47:32


Matt and Nic are back for more deals and news. In this episode:  We bring back his the theme music Anthropic employees think there's a 10% chance AI destroys humanity Was Jacob Coxon astroturfed or real? Are Anthropic employees being sincere or cynical? Blockstream's Liquid sidechain is hacked What does the Liquid hack mean for privacy coins? Hunter Biden launches the $LAPTOP memecoin IONQ says they will be able to crack ECC in two years Ex Silvergate CEO Alan Lane speaks out OpenAI offers a solution to the Navier-Stokes problem  Can insider information leak through AI models?  Why AI doom is like Pascal's mugging Content mentioned: Alan Lane, Silvergate's Voluntary Liquidation

Dev Interrupted
The factory gets darker, Meta migrates to Slack, and throwing 10,000 PhDs at math problems

Dev Interrupted

Play Episode Listen Later Sep 11, 2026 36:44


This week on the Friday Deploy, Andrew is joined by Dev Interrupted's producer Adam Noble to size up OpenAI's declaration that the AGI era has arrived, the Navier-Stokes race that has the math world crying foul, and why Meta is ditching its own messaging stack for Slack. They also dissect the bizarre saga of OpenAI's sandboxed agents leaving whispered notes for their future selves, and the "super dark factory." Finally, they celebrate Kiro Pro going free for over a million college students and tease a terminal-first upcoming news segment. Get the guide: The AI engineering productivity gap - how elite teams pull ahead in 2026Follow the show:Subscribe to our Substack Follow us on LinkedInSubscribe to our YouTube ChannelFollow the hosts:Follow AndrewFollow BenFollow DanFollow today's stories:The Era of AGIA Bad Day For Humans, a Worse Day For HumanityMeta is switching to Slack because it says it's better for AI agentsAgency and AgentsThe Superdark FactorySpec-Driven Development for Agentic Software Engineering: Harnessing Human-Agent TeamworkInside Dev Interrupted's agentic newsroom and what it reveals about the future of tech mediaKiro Pro for students: kiro.dev/students OFFERSStart Free Trial: Get started with LinearB's AI productivity platform for free.Book a Demo: Learn how you can ship faster, improve DevEx, and lead with confidence in the AI era.LEARN ABOUT LINEARBAI Code Reviews: Automate reviews to catch bugs, security risks, and performance issues before they hit production.AI & Productivity Insights: Go beyond DORA with AI-powered recommendations and dashboards to measure and improve performance.AI-Powered Workflow Automations: Use AI-generated PR descriptions, smart routing, and other automations to reduce developer toil.MCP Server: Interact with your engineering data using natural language to build custom reports and get answers on the fly.

New Scientist Weekly
AI Just Solved One of the Hardest Problems in Mathematics

New Scientist Weekly

Play Episode Listen Later Sep 11, 2026 32:16


Episode 398 OpenAI says it has just solved one of the hardest problems in mathematics. The Navier-Stokes existence and smoothness problem has been unsolved for more than 200 years. Now AI has cracked it, some claim we've finally reached “AGI” - artificial general intelligence. Navier-Stokes is one of the Millennium Prize Problems, chosen for being famously challenging. And as OpenAI sets its sights on solving more of these problems, what does it mean for the future of mathematics and even for the future of humanity? This comes as fear mounts over the safety of AI - supercharged by the resignation of a researcher from Anthrophic who believes AI companies are “gambling with our lives.”  So have we really reached AGI? Is this new solution a good thing for humanity? To discuss all of this, Rowan Hooper and Penny Sarchet are joined by Matthew Sparkes and Timothy Revell. To read more about these stories, visit https://www.newscientist.com/ Learn more about your ad choices. Visit megaphone.fm/adchoices

Unchained
The Chopping Block: FOMO's Co-Founder Defends the Memecoin Trenches, Hunter Biden's $LAPTOP, and AMC vs Robinhood

Unchained

Play Episode Listen Later Sep 10, 2026 63:48


FOMO co-founder Paul Erlanger joins Haseeb, Tom, and Tarun to answer last week's unc takes on memecoins: why a fully transparent social graph beats copy trading, how FOMO became the biggest app on Robinhood Chain, Hunter Biden's LAPTOP token, the three-way launchpad war, AMC's fight with Robinhood over tokenized stock, and the AI race to solve Navier-Stokes. Welcome to The Chopping Block, where crypto insiders Haseeb Qureshi, Tom Schmidt, and Tarun Chitra are joined by FOMO co-founder Paul Erlanger to chop it up about the latest in crypto. After getting dunked on as uncs for last week's memecoin takes, the crew brings on the founder at the center of it. Paul lays out FOMO's case for a fully transparent trading social graph, Tarun reports back from a holiday weekend in the trenches, and Haseeb holds the line on where memecoin trading actually destroys value. Then: Hunter Biden's $LAPTOP token, the Pons versus Stonk.fun versus Pump launchpad war, AMC's CEO versus Robinhood's tokenized stocks, and the OpenAI versus Anthropic fight over who solved Navier-Stokes. Listen to the episode on Apple Podcasts, Spotify, Pods, Fountain, Podcast Addict, Pocket Casts, Amazon Music, or on your favorite podcast platform. Show highlights

Coffee Break: Señal y Ruido
Ep570_B: Viruela Ancestral; Protones; IA y el Problema del Milenio

Coffee Break: Señal y Ruido

Play Episode Listen Later Sep 10, 2026 124:10


-OpenAI y el Problema del Milenio de Navier-Stokes (00:00)-IA y el Problema del Milenio: Planteamiento (00:10)-IA y el Problema del Milenio: Demostración (33:00)-IA y el Problema del Milenio: Controversia y debate (1:16:20)Contertulios: Luisa Achaerandio, Ignacio Crespo, Juan Carlos Gil, Jose Edelstein, Gastón Giribet, Francis Villatoro, Héctor SocasLa tertulia semanal de la actualidad científica. En la web: https://señalyruido.comEn el episodio de hoy: Hosted on Acast. See acast.com/privacy for more information.

Uno, nessuno, 100Milan
Londra e altri 11 Paesi sanzionano i prodotti dei coloni israeliani

Uno, nessuno, 100Milan

Play Episode Listen Later Sep 10, 2026


Undici Paesi si sono uniti alla Gran Bretagna nel mettere al bando i prodotti provenienti dagli insediamenti israeliani vietandone l'importazione e imponendo sanzioni commerciali. Ce ne occupiamo a inizio puntata. Poi approfondiamo i risultati Ocse sulla scuola. Gli studenti italiani sono peggiorati e faticano nella lettura e nel comprendere un testo complesso. E' necessario rieducarli alla lentezza sottolineano pedagogisti e formatori. Infine, OpenAI dice di aver risolto uno dei problemi del millennio: le equazioni di Navier-Stokes. Cerchiamo di capirne di più con Gabriella Greison, fisica, scrittrice e divulgatrice scientifica

P3 Nyheter med
Mattebråk efter AI-genombrott & gamers skulle svara 112 – P3 Nyheter med Babs Drougge

P3 Nyheter med

Play Episode Listen Later Sep 10, 2026 11:26


Babs Drougge på P3 Nyheter förklarar morgonens stora nyheter, alltid tillsammans med programledarna för Morgonpasset i P3: Linnéa Wikblad och David Druid. Lyssna på alla avsnitt i Sveriges Radios app. På bara 88 timmar ska Open AI:S ai-agenter ha löst ett matteproblem som ingen människa lyckats lösa på 90 år. Nu anklagas dock AI-jätten för att ha snott åt sig äran för att ha löst sista biten av det världskända Navier-Stokes-problemet, efter att mänskliga matematiker lagt åratal på hästjobbet.Sen pratar vi om att SOS Alarm tar ner en hånad jobbannons, där de hävdat att gamers besitter ”perfekta skills” för att bli 112-operatör. Samtidigt larmar ambulanspersonal i Stockholm om att de skickas ut på onödiga larm, på grund av larmoperatörers bristande medicinska kompetens.

ai gamers stockholm med efter lyssna skulle p3 samtidigt nyheter sveriges radios svara genombrott navier stokes morgonpasset sos alarm p3 nyheter david druid wikblad babs drougge
Unchained
The Chopping Block: FOMO's Co-Founder Defends the Memecoin Trenches, Hunter Biden's $LAPTOP, and AMC vs Robinhood

Unchained

Play Episode Listen Later Sep 10, 2026 63:48


FOMO co-founder Paul Erlanger joins Haseeb, Tom, and Tarun to answer last week's unc takes on memecoins: why a fully transparent social graph beats copy trading, how FOMO became the biggest app on Robinhood Chain, Hunter Biden's LAPTOP token, the three-way launchpad war, AMC's fight with Robinhood over tokenized stock, and the AI race to solve Navier-Stokes. Welcome to The Chopping Block, where crypto insiders Haseeb Qureshi, Tom Schmidt, and Tarun Chitra are joined by FOMO co-founder Paul Erlanger to chop it up about the latest in crypto. After getting dunked on as uncs for last week's memecoin takes, the crew brings on the founder at the center of it. Paul lays out FOMO's case for a fully transparent trading social graph, Tarun reports back from a holiday weekend in the trenches, and Haseeb holds the line on where memecoin trading actually destroys value. Then: Hunter Biden's $LAPTOP token, the Pons versus Stonk.fun versus Pump launchpad war, AMC's CEO versus Robinhood's tokenized stocks, and the OpenAI versus Anthropic fight over who solved Navier-Stokes. Listen to the episode on Apple Podcasts, Spotify, Pods, Fountain, Podcast Addict, Pocket Casts, Amazon Music, or on your favorite podcast platform. Show highlights

Impact Theory with Tom Bilyeu
OpenAI Scandal Explodes, China Sanctions Palmer Luckey, and the Oil War Heats Up | Tom Bilyeu Show

Impact Theory with Tom Bilyeu

Play Episode Listen Later Sep 9, 2026 89:52


What's up, everybody? Today I'm hitting you with one of the wildest episodes we've ever done. We're diving deep into the OpenAI scandal that's been blowing up the internet and drawing in some of the top minds in math, tech, and artificial intelligence. In this episode, we cover everything from leaked breakthroughs on one of the world's toughest math problems—Navier-Stokes—to how your intellectual property could be at risk every time you use AI.We'll break down who really made the breakthrough: brilliant mathematician Tristan Buckmaster, or was it AI, or—most likely—the thrilling collision between human intuition and machine brute force? Plus we'll look at why this debate matters for the future of ownership, innovation, and literally your business or your health. You're going to walk away understanding how AI and human minds must work together, what the next wave of regulation could mean for YOU, and why this moment will redefine who gets credit and who gets paid.This is about way more than technology—this is about meaning, relevance, and how humanity adapts in the face of relentless acceleration. Strap in, because if you want to thrive in the age of AI, you can't afford to miss what we unpack in this episode.If you get value out of conversations like this, drop us a review and help us reach more people driven to unleash their potential. I'm Tom Bilyeu, and welcome to Impact Theory.Sponsors: Tailor Brands: Check out Tailor Brands to get started with your business today: https://bit.ly/TailorBrandsSeptQuince: Free shipping and 365-day returns at https://quince.com/impactpodElevenLabs: Book your demo at https://elevenlabs.io/impactpodIncogni: Take your personal data back with Incogni! Use code IMPACT at the link below and get 60% off an annual plan: https://incogni.com/impact Ketone IQ: Visit https://ketone.com/IMPACT for 30% OFF your subscription order.Horizon.ai: Go to https://horizon3.ai/IMPACTTHEORY and request your free NodeZero demo. No commitment required. Results in hours, not weeks.Butcherbox: Go to https://ButcherBox.com/IMPACT to get $20 off your first box, plus your choice of free ribeye, new york strip, or filet mignon in every box for a year — with free shipping alwaysQuo: ​​Try for free PLUS get 20% off your first 6 months at https://quo.com/impact-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------What's up, everybody? It's Tom Bilyeu here:Want my help starting a business? Join me here inside Zero To FounderSign up for my AI Masterclass: AI MasterclassFOLLOW TOM:Instagram: https://www.instagram.com/tombilyeu/Tik Tok: https://www.tiktok.com/@tombilyeu?lang=enTwitter: https://twitter.com/tombilyeuYouTube: https://www.youtube.com/@TomBilyeuSee Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

This Week in Startups
Did OpenAI Steal the Navier-Stokes Solution? | E2335

This Week in Startups

Play Episode Listen Later Sep 9, 2026 81:25


This Week In Startups is made possible by: Northwest Registered Agent - https://www.northwestregisteredagent.com/twistdomain NetSuite - https://www.netsuite.ai/twist Vanta - http://www.vanta.com/twist Check out a full transcript and summary of today's show, created by Plaud: https://web.plaud.ai/s/pub_c2b45bfe-abad-43ce-b7ef-41118f55f738::Vo2MH6PuXBzTCaxKRDjHH0zu8FbzgDpQL5OnfBfMzLP22CQRxciqE74Mq4YDD-LwYXGZCazgIeglPuwC Today's show: An Anthropic researcher quit this week, saying both leading labs are gambling with everyone's lives. His coworker chimed in and predicts there is a greater than 10% chance that AI will end humanity IN THE NEXT 10 YEARS. Jason and Lon take it to Yohei Nakajima of Untapped Capital, Ben Lerer of Lerer Hippeau, and Rebecca Lynn of Canvas Prime, who cannot decide whether it is the greatest PR strategy in history or some kind of mass psychosis. Learn why Jason says founders should never hand a frontier lab their proprietary data, whether or not they're offered free credits. PLUS, who really solved Navier-Stokes, and what does the OpenAI–Buckmaster fight mean for anyone doing real work inside ChatGPT or Claude? Guests: Yohei Nakajima on X: https://x.com/yoheinakajima Untapped Capital: https://untapped.vc/ Ben Lerer on X: https://x.com/BenjLerer Lerer Hippeau: https://www.lererhippeau.com/ Rebecca Lynn on X: https://x.com/VCRebecca Canvas Prime: https://www.canvas.vc/ Relevant Links: Jacob Coxon quits Anthropic - "gambling with our lives" https://techcrunch.com/2026/09/09/gambling-with-our-lives-anthropic-researcher-quits-warns-against-self-improving-ai/ Evan Hubinger, Anthropic's Alignment Science lead, on X: >10% odds within a decade — https://x.com/EvanHub/status/2097497037956891126 Future of Life Institute — the 2015 Puerto Rico AI safety conference Jason asks Lon to pull up → https://futureoflife.org/ Meta debuts Muse (Axios) —https://www.axios.com/2026/09/08/meta-debuts-muse-personal-ai-agent Harmonic — https://harmonic.ai/ China blocks Meta's Manus acquisition (CNBC) —https://www.cnbc.com/2026/04/27/meta-manus-china-blocks-acquisition-ai-startup.html OpenAI fought dirty— https://techcrunch.com/2026/09/08/openai-fought-dirty-on-career-making-math-problem-says-nyu-mathematician/ Savvy Wealth — https://www.wealthmanagement.com/ria-news/savvy-wealth-raises-100m-valuation-hits-600m Augmodo — https://www.augmodo.com/ E2B — https://e2b.dev/ Daptic — https://www.daptic.com/ Timestamps: 0:00 Jacob Coxon quits Anthropic: "crunch time" and "endgame" 4:53 Evan Hubinger: >10% odds AI kills all humans in a decade 11:22 Northwest Registered Agent - Got a new business idea? Northwest Registered Agent helps you bring it to life. Get a free domain, email, phone number, and more - with no purchase required! Learn more at https://www.northwestregisteredagent.com/twistdomain 12:23 "You have succeeded in scaring the bejesus out of Americans" 14:59 Jobs, the wealth divide, and which industries get wiped out first 20:07 NetSuite - For the first time ever, you can try NetSuite Next for free. If your revenues are at least in the seven figures, go to https://NetSuite.ai/TWIST 21:09 Savvy Wealth's $100M round 26:52 The Kalanick story and why Jason built a syndicate backstop 29:04 Vanta - Get $1000 off your SOC 2 at https://www.vanta.com/twist 32:05 Meta ships Muse 32:56 Can Meta be trusted 35:29 Threads Metrics 49:27 Robinhood's free-share referral 51:16 NYU's Tristan Buckmaster accuses OpenAI of fighting dirty on Navier-Stokes 57:43 Jason: "It's a trap" 59:03 Harvey goes open-weight, Go.AI on-prem, Covenant Labs 1:12:22 High performing portfolio companies Subscribe to the TWiST500 newsletter: https://ticker.thisweekinstartups.com Check out the TWIST500: https://www.twist500.com Subscribe to This Week in Startups on Apple: https://rb.gy/v19fcp Follow Lon: X: https://x.com/lons Follow Jason: X: https://twitter.com/Jason LinkedIn: https://www.linkedin.com/in/jasoncalacanis   Check out all our partner offers: https://partners.launch.co/   Great TWIST interviews: Will Guidara, Eoghan McCabe, Steve Huffman, Brian Chesky, Bob Moesta, Aaron Levie, Sophia Amoruso, Reid Hoffman, Frank Slootman, Billy McFarland   Check out Jason's suite of newsletters: https://substack.com/@calacanis   Follow TWiST: Twitter: https://twitter.com/TWiStartups YouTube: https://www.youtube.com/thisweekin Instagram: https://www.instagram.com/thisweekinstartups TikTok: https://www.tiktok.com/@thisweekinstartups Substack: https://twistartups.substack.com

Into the Impossible
OpenAI's Navier–Stokes Claim: Is This What AGI Looks Like? with Emad Mostaque

Into the Impossible

Play Episode Listen Later Sep 9, 2026 78:31


Did OpenAI just solve Navier–Stokes—and what would that actually mean for AGI? Emad Mostaque joins Brian Keating LIVE to examine the claimed breakthrough, what would count as a verified solution, and whether AI solving a major mathematical problem changes the debate about intelligence—or control. Watch my explainer about AI and the Navier-Stokes problem, including insights from Terry Tao https://youtu.be/je9X59psm6U?si=wGbcLhXmf47jeCHL?sub_confirmation=1 A convincing answer isn't necessarily a proof. A mathematical breakthrough isn't automatically AGI. But if this claim holds up, how much should we update our expectations? Emad helped bring Stable Diffusion to the world and signed the letter calling for a pause on frontier AI development. In his previous conversation with Brian and AI safety researcher Roman Yampolskiy, he questioned how such a pause could work—and highlighted swarm intelligence as a particularly dangerous and unpredictable risk. Now we return to the question underneath the excitement: if AI's capabilities are accelerating, is our ability to understand and control them keeping up? ON THE TABLE: • What exactly is being claimed about Navier–Stokes? • What separates a proposed solution from an accepted mathematical proof? • If the result holds up, does it demonstrate AGI—or something narrower? • Can AI produce discoveries that humans struggle to verify? • What would this change about open-source AI and the argument for a pause? • Are we watching the wrong risk: a single superintelligence, or swarms of AI agents? • What evidence would change Emad's mind? Bring your questions. We'll examine the claim, the evidence, and what follows if it's right. This livestream discusses a claimed result; it does not assume the Millennium Prize Problem has been resolved. FEATURED GUEST: Emad Mostaque on Twitter/X: https://x.com/EMostaque I.I.I. Inc.: https://ii.inc/ Stable Diffusion / Stability AI: https://stability.ai/ Get the transcript, fascinating bonus content, and my Monday M.A.G.I.C. Message: https://briankeating.com/yt Have a .edu email and live in the USA? Claim your meteorite: https://BrianKeating.com/edu Subscribe: https://www.youtube.com/DrBrianKeating?sub_confirmation=1 Support Into the Impossible on Patreon for unfiltered bonus content and live monthly Office Hours: https://www.patreon.com/drbriankeating Join this channel for perks, monthly Office Hours, and your name in the Member Roster: https://www.youtube.com/channel/UCmXH_moPhfkqCk6S3b9RWuw/join MY BOOKS: Losing the Nobel Prize: http://amzn.to/2sa5UpA Think Like a Nobel Prize Winner: https://a.co/d/03ezQFu Focus Like a Nobel Prize Winner: https://a.co/d/hi50U9U Galileo's Dialogue audiobook: https://a.co/d/iZPi9Un CONNECT WITH BRIAN: Twitter/X: https://x.com/BrianKeating Substack: https://briankeating.substack.com Blog: https://briankeating.com/blog Audio-only: https://briankeating.com/podcast #OpenAI #NavierStokes #AGI #EmadMostaque #ArtificialIntelligence #BrianKeating #IntoTheImpossible Learn more about your ad choices. Visit megaphone.fm/adchoices

The Future of Work With Jacob Morgan
Anthropic Researcher Quits Over AI Extinction Fears, OpenAI Agents Claim a Math Breakthrough, & the Panic Behind the Headlines

The Future of Work With Jacob Morgan

Play Episode Listen Later Sep 9, 2026 46:10


September 9, 2026: I unpack the viral resignation of Anthropic researcher Jacob Coxon, who warned that AI labs are racing toward self-improving superintelligence and gambling with human lives. Then I look at OpenAI's claim that thousands of AI agents produced a proof for the Navier-Stokes problem, one of the Millennium Prize problems. Finally, I dig into the bigger question behind the headlines: how much of the AI extinction narrative is about real technical risk, and how much is about incentives, regulatory capture, effective altruism, IPO timing, and control over the future of AI?

Engadget
US accused Chinese AI companies of industrial-scale campaigns, Suno trained its latest models with help from Warner and BMG, and what's going on with OpenAI and the Navier-Stokes controversy?

Engadget

Play Episode Listen Later Sep 9, 2026 9:57


-The US accused DeepSeek, Moonshot AI, Alibaba, MiniMax, StepFun and Z.AI of extracting "billions of tokens across millions of exchanges/requests" from American models, including Anthropic's Claude, OpenAI's GPT, Google's Gemini and xAI's Grok, since 2024. -Suno's v6 series consists of three models: v6, v6-wild and v6-mini. The first of those is Suno's new flagship offering. -OpenAI announced that it found a solution to the Navier-Stokes problem, but the news has been marred by a debate over whether the company acted based on unpublished research from other parties. Learn more about your ad choices. Visit podcastchoices.com/adchoices

Le Journal de l'Economie
Sommet spatial européen, valorisation de Mistral AI et prix du baril en hausse

Le Journal de l'Economie

Play Episode Listen Later Sep 9, 2026 9:53


Au sommaire :La France et l'Allemagne co-organisent un sommet international de l'espace au Grand Palais à Paris avec 120 pays représentés pour renforcer l'autonomie stratégique de l'Europe face à la concurrence américaine et chinoise.Mistral AI devient le champion européen de l'intelligence artificielle avec une valorisation de 21 milliards d'euros après une nouvelle levée de fonds incluant l'investissement du sud-coréen Samsung.OpenAI annonce une avancée majeure avec la résolution de l'équation de Navier-Stokes par ses modèles d'intelligence artificielle en moins de 4 jours, bien que des questions se posent sur l'utilisation de données de chercheurs.Les tensions géopolitiques font monter le prix du baril de Brent près des 100 dollars suite aux échanges de tirs entre les États-Unis et l'Iran dans la région.La guerre commerciale s'intensifie entre les États-Unis et le Canada avec l'instauration de surtaxes de 50% et d'interdictions d'importation de produits canadiens décidées par Donald Trump.Les buralistes manifestent cette semaine pour réclamer un gel de la fiscalité sur le tabac, le prix du paquet ayant doublé en sept ans passant de 7 à 13 euros.Les marchés parallèles de cigarettes représentent 19% de la consommation en France et causent un manque à gagner de près de 5 milliards d'euros pour l'État.La visite du pape en France génère une forte activité économique avec des réservations exceptionnelles dans les hôtels et les transports vers Lourdes, Metz, Strasbourg, Nancy, Reims et Paris.Apple présente ses nouveaux produits en Californie dont le premier iPhone pliable, sept ans après Samsung, sous la direction du nouveau PDG John Ternus.Le crédit immobilier accordé par les banques françaises s'effondre à 11 milliards d'euros en juillet, en baisse de 17% par rapport au mois précédent, avec des taux de crédit remontant à 3,3% en moyenne.Hébergé par Audiomeans. Visitez audiomeans.fr/politique-de-confidentialite pour plus d'informations.

WSJ What’s News
OpenAI Just Solved One of the Hardest Problems in Math

WSJ What’s News

Play Episode Listen Later Sep 8, 2026 9:57


P.M. Edition for Sept. 8. OpenAI says it's cracked the Navier-Stokes problem, one of the seven Millennium Prize Problems that are the deepest and most difficult unresolved questions in mathematics. WSJ Science of Success columnist Ben Cohen explains why labs like OpenAI are competing—and spending millions—for such breakthroughs. Plus, a dozen nations are imposing new trade restrictions on Israel over the expansion of settlements in the West Bank. And Smithsonian Secretary Lonnie Bunch III, the first African-American and the first historian to lead the institution, is stepping down after more than a year of tension with President Trump. Alex Ossola hosts. Sign up for the WSJ's free What's News newsletter. Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for information about our collection and use of personal data for advertising.

Techmeme Ride Home
Did AI Just Solve Math?

Techmeme Ride Home

Play Episode Listen Later Sep 8, 2026 22:41


Bloomberg detailed Apple's decade-long path to a $2,000+ foldable iPhone, Gamers Nexus alleged LG smart TVs eavesdropped via built-in microphones and tracked nearby devices, and a mathematician accused OpenAI of secretly using his private Navier-Stokes work, which OpenAI denied. A look at Apple's path to a foldable device, the biggest change in iPhone history; sources: memory shortages led Apple to blow past an early $1,999 price goal (Bloomberg) Analysis of LG's smart TVs shows its ad software tracks nearby devices, security flaws can allow hackers to eavesdrop via the built-in microphone, and more (Gamers Nexus / YouTube) The Register reports LG's TVs generated audio transcripts even in standby, collected Wi-Fi network data and unpaired nearby devices, and fed it to LG's ad unit, which claims reach across 363 million addressable devices (The Register) Mathematician Tristan Buckmaster alleges OpenAI learned of his work with Anthropic's Levent Alpöge on Navier-Stokes and used an internal model to solve it (Scientific American) Subscribe to the ad-free feed.

Quanta Science Podcast
What Makes a Fluid a Fluid?

Quanta Science Podcast

Play Episode Listen Later Aug 18, 2026 36:00


The Navier-Stokes equations are enormously successful at predicting how fluids flow and swirl. But they fail to account for the microscopic bits that make up matter. But now math based on symmetries offers a new conception of fluids and why they behave the way that they do. On this episode of The Quanta Podcast, host Samir Patel speaks with writer Charlie Wood on the longstanding effort to rebuild the theory of fluids from the bottom up, including a strange connection to black holes and models that simultaneously run time forward and backward. This topic was covered in a recent story for Quanta Magazine. Each week on The Quanta Podcast, Quanta Magazine editor in chief Samir Patel and Senior Editor Hannah Waters speak with the people behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.

fluid navier stokes quanta magazine samir patel charlie wood
Baleine sous Gravillon - Petit Poisson deviendra Podcast
BEST OF D'ÉTÉ #09 : Au fait, comment les poissons nagent-ils ? (Bill François)

Baleine sous Gravillon - Petit Poisson deviendra Podcast

Play Episode Listen Later Aug 3, 2026 7:38


Ça y est, le Best of d'été 2026 est arrivé ! L'occasion de se replonger dans une sélection d'épisodes de la saison 3 de Petit Poisson deviendra Podcast durant tout les mois de juillet et d'août.L'équation Navier-Stokes est l'un des sept problèmes du millénaire en mathématiques. La comprendre, c'est comprendre les secrets de la nage des poissons...______Présentation :  Arthur Hannoun.Invité : Bill François, qui a publié Les génies des mers (Flammarion 2023).___

The Neil Ashton Podcast
S4 EP5 - Prof. Nils Thuerey on Differentiable Physics and Foundation Models

The Neil Ashton Podcast

Play Episode Listen Later Jul 23, 2026 74:47


Differentiable physics, neural emulators and foundation models for PDEs are the focus of this conversation with Professor Nils Thuerey, head of the Physics-based Simulation group at TUM. Neil and Nils discuss PhiFlow, PICT, Tadpole, scalable 3D transformers, online synthetic data, open datasets, world models and agents that call physics simulators.Full episode, corrected transcript and resources:https://neilashton.co.uk/podcasts/s4-e5-prof-nils-thuerey-on-differentiable-physics-and-foundation-models/TopicsDifferentiable physics and physics-based deep learningPhiFlow and differentiable simulation across ML frameworksWhen neural emulators can outperform their training dataFoundation models for PDEs and synthetic online trainingScalable 3D transformers and high-resolution simulationsLES, temporal data and correlated CFD datasetsOpen-source tools, startups and physics-aware world modelsAI agents that call physics simulatorsPapersNeural Emulator Superiority: When Machine Learning for PDEs Surpasses its Training Datahttps://arxiv.org/abs/2510.23111Tadpole: Autoencoders as Foundation Models for 3D PDEs with Online Learninghttps://arxiv.org/abs/2605.15284P3D: Scalable Neural Surrogates for High-Resolution 3D Physics Simulations with Global Contexthttps://arxiv.org/abs/2509.10186PICT — A Differentiable, GPU-Accelerated Multi-Block PISO Solver for Simulation-Coupled Learning Tasks in Fluid Dynamicshttps://arxiv.org/abs/2505.16992PhiFlow: Differentiable Simulations for PyTorch, TensorFlow and JAXhttps://proceedings.mlr.press/v235/holl24a.htmlPhysics-based Deep Learninghttps://arxiv.org/abs/2109.05237Learning to Control PDEs with Differentiable Physicshttps://arxiv.org/abs/2001.07457Solver-in-the-Loop: Learning from Differentiable Physics to Interact with Iterative PDE-Solvershttps://arxiv.org/abs/2007.00016tempoGAN: A Temporally Coherent, Volumetric GAN for Super-resolution Fluid Flowhttps://arxiv.org/abs/1801.09710Deep Learning Methods for Reynolds-Averaged Navier-Stokes Simulations of Airfoil Flowshttps://arxiv.org/abs/1810.08217WeatherBench: A Benchmark Dataset for Data-Driven Weather Forecastinghttps://arxiv.org/abs/2002.00469SuperWing: A Comprehensive Transonic Wing Dataset for Data-Driven Aerodynamic Designhttps://arxiv.org/abs/2512.14397LinksNils Thuerey and the Physics-based Simulation grouphttps://ge.in.tum.de/about/n-thuerey/Chapters00:00 Podcast intro00:39 Introducing Prof. Nils Thuerey04:13 Conversation begins05:13 From Computational Numerics to Graphics and Visual Effects07:17 Physics-Based Deep Learning Before ChatGPT10:01 CNNs, Graphics and the Move into Engineering Applications12:37 PhiFlow and Differentiable Physics14:13 Can Neural Emulators Surpass Their Training Data?18:00 The Promise and Limits of Foundation Models for PDEs20:43 Tadpole and Synthetic Online Pre-Training24:07 From Canonical PDEs to Navier-Stokes and Industrial CFD26:35 What Do Foundation Models Actually Learn?28:36 PDE Pre-Training vs. Millions of CFD Simulations33:08 Scaling 3D Transformers and Training Infrastructure35:58 Generating and Training on Data in Real Time38:00 LES, Temporal Data and Turbulence42:15 Overfitting and Correlated Simulation Data44:27 Bringing Differentiable Solvers Back into the Loop45:31 WeatherBench, APEBench and the Value of Benchmarks47:09 SuperWing, Open Datasets and Commercial Data51:31 Open Source, Commercial Models and a Technical Oscar56:17 Academia, Startups and Industry01:00:55 What Will Change Over the Next Five Years?01:02:07 World Models and the Need for Physics01:08:19 Agents, Tool Use and Calling Physics Simulators01:11:22 Career Advice for AI and Simulation01:13:54 Closing Thoughts

Daniel Ramos' Podcast
Episode 516: 22 de Febrero del 2026 - Devoción matutina para menores - ¨Héroes y villanos¨

Daniel Ramos' Podcast

Play Episode Listen Later Feb 21, 2026 5:01


====================================================SUSCRIBETEhttps://www.youtube.com/channel/UCNpffyr-7_zP1x1lS89ByaQ?sub_confirmation=1==================================================== DEVOCIÓN MATUTINA PARA MENORES 2026“HEROES Y VILLANOS”Narrado por: Tatania DanielaDesde: Juliaca, PerúUna cortesía de DR'Ministries y Canaan Seventh-Day Adventist Church22 de FebreroEl héroe matemático«Cuando tú ayudes a los necesitados, no se lo cuentes ni siquiera a tu amigo más íntimo» (Mateo 6: 3).Entre los estudiantes adolescentes prevalece la idea de que las matemáticas son difíciles y peor aún, no son para todos. Solo algunos que tienen la inteligencia matemática más acentuada pueden moverse con confianza entre los números y las operaciones. Es cierto, las matemáticas pueden ser difíciles, pero hay niveles para todas las inteligencias. Además, hay algo más importante que los logros matemáticos.En el año 2000, el Instituto Matemático Clay seleccionó los que denominó los Problemas del Milenio. Son siete problemas matemáticos considerados los desafíos más importantes y difíciles de la matemática contemporánea. Resolver cualquiera de estos problemas supondría un avance significativo en el campo de las matemáticas y tendría un impacto profundo en nuestra comprensión del mundo. Los siete Problemas del Milenio son:* La conjetura de Birch y Swinnerton-Dyer.* La conjetura de Hodge.* La hipótesis de Riemann.* La conjetura de Poincaré.* La conjetura de P vs. NP.* La conjetura de Yang-Mills.* La conjetura de Navier-Stokes.Estos problemas abarcan diversas áreas de las matemáticas, desde la teoría de números hasta la geometría diferencial y la física matemática. Hasta la fecha, solo la conjetura de Poincaré ha sido resuelta; ahora se llama el teorema de Poincaré.Imaginemos que tenemos un globo inflado. La conjetura de Poincaré se pregunta si cualquier objeto tridimensional que no tenga bordes ni agujeros puede transformarse, sin romperlo ni cortarlo, en algo parecido a una esfera. En otras palabras, se cuestiona si es posible que todo espacio cerrado sin agujeros sea, en esencia, una esfera en tres dimensiones. El ruso Grigori Perelman encontró una manera brillante de demostrar que la conjetura de Poincaré es cierta. Utilizó herramientas matemáticas muy avanzadas para mostrar que, efectivamente, cualquier objeto tridimensional sin agujeros se puede transformar en una forma sin agujeros.El trabajo revolucionario de Perelman le valió el reconocimiento internacional. Pero Perelman rechazó todos los premios y reconocimientos, incluyendo la medalla Fields y el Premio del Milenio del Instituto Clay, que incluía un bono de un millón de dólares. Su motivación era resolver un problema muy importante que nadie más pudo resolver durante más de cien años. Se dedicó de lleno, prácticamente en aislamiento, durante 7 años de su vida. Absolutamente, nada más le importaba, ni el dinero, ni la fama.Hay quienes sueñan con lograr algo solo para recibir aplausos. Hacer buenas cosas, incluso dar limosna, tiene mayor reconocimiento cuando se hace con desinterés y modestia. Nuestro Padre celestial, que nos ve en secreto, nos recompensará en público. 

Exodus: il podcast dell'esplorazione spaziale
L'AI di Google sta RISCRIVENDO LA FISICA?

Exodus: il podcast dell'esplorazione spaziale

Play Episode Listen Later Jan 25, 2026 20:15


L'intelligenza artificiale può davvero aiutare a risolvere uno dei problemi più difficili della fisica e della matematica moderna? In questo video analizziamo la scoperta annunciata da Google DeepMind, che utilizza l'AI e le reti neurali per esplorare nuove soluzioni delle equazioni di Navier-Stokes, il cuore della fluidodinamica e uno dei celebri Problemi del Millennio da un milione di dollari.Vedremo cosa sono le equazioni di Navier-Stokes, perché descrivere la turbolenza dei fluidi è così complesso, cosa sono le singolarità matematiche e perché rappresentano un limite fondamentale dei modelli fisici. Spiegheremo poi come DeepMind ha usato le Physics-Informed Neural Networks (PINNs) per individuare nuove famiglie di soluzioni instabili, aprendo un nuovo approccio alla ricerca scientifica.Questa scoperta non risolve il Problema del Millennio, ma segna un punto di svolta nel rapporto tra intelligenza artificiale, fisica e matematica, con implicazioni enormi per aerodinamica, clima, ingegneria e scienza fondamentale.

Into the Impossible
Terry Tao: “Trump CUT My Funding.” Here's how I am going to react.

Into the Impossible

Play Episode Listen Later Nov 18, 2025 16:11


What happens when a government abruptly cuts off the lifeline of pure science? Imagine canceling Albert Einstein just before he published [E = mc². Terence Tao, the “Mozart of Mathematics,” was one of the unlucky researchers hit when the Trump administration suddenly terminated his federal research funding. Today, I walk and talk with Tao at UCLA to understand how America's greatest living mathematician found himself blindsided by a bureaucratic earthquake — and what it means for the future of discovery. This is Part 1 of our deep dive into Tao's work, his warnings about the collapse of U.S. research infrastructure, and why mathematics is the unseen root system supporting all of modern technology.

AI-podden med Ather Gattami
AI-Podden News - September

AI-podden med Ather Gattami

Play Episode Listen Later Oct 14, 2025 38:19


In this month's AI news update episode, our hosts Ather Gattami and Anders Arpteg discuss all the latest AI breakthroughs, from OpenAI's Sora 2 and Claude 4.5 to Gemini 2.5 and Grok 4 - and the massive infrastructure race behind them, including the $500 billion Stargate project and Elon Musk's Colossus 2 data center. They explore OpenAI's move toward productisation with its “Instant Checkout” feature, Microsoft's “Vibe Working”, and Google's browser-integrated Gemini, before highlighting DeepMind's progress on the Navier–Stokes problem. The episode ends on an optimistic note: AI's power lies in augmenting, not replacing, human capability.      

Ana Francisca Vega
Programa completo MVS Noticias con Daniel Guerra, en ausencia de Ana Francisca Vega - 17 julio 2025.

Ana Francisca Vega

Play Episode Listen Later Jul 18, 2025 96:26


Ana Francisca Vega
¿Por qué la ecuación de Navier-Stokes sigue siendo un misterio?

Ana Francisca Vega

Play Episode Listen Later Jul 18, 2025 11:36


En su colaboración para MVS Noticias con Daniel Guerra, en ausencia de Ana Francisca Vega, Fernanda Torres, física divulgadora de ciencia, contará ¿Qué son las ecuaciones de Navier-Stokes y por qué siguen siendo un misterio? La historia del estudio de los fluidos, desde Arquímedes hasta uno de los grandes problemas del milenio.See omnystudio.com/listener for privacy information.

Theories of Everything with Curt Jaimungal
Brand New Result Proving Penrose & Tao's Uncomputability in Physics!

Theories of Everything with Curt Jaimungal

Play Episode Listen Later Jul 7, 2025 112:47


As a listener of TOE you can get a special 20% off discount to The Economist and all it has to offer! Visit https://www.economist.com/toe Mathematician Eva Miranda returns with a groundbreaking new result: a real physical system (fluid motion) has been proven to be Turing-complete. This means some fluid paths are logically undecidable. In this mind-bending episode, she walks us through the implications for chaos theory, the Navier-Stokes equations, and uncomputability in nature, confirming long-held suspicions of thinkers like Roger Penrose and Terence Tao. Featuring rubber ducks, Alan Turing, and the limits of knowledge itself. Join My New Substack (Personal Writings): https://curtjaimungal.substack.com Listen on Spotify: https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e Timestamps: 00:00 Introduction 01:10 Expect the Unexpected 02:52 Stories of Uncertainty 04:45 The Impact of Alan Turing 06:35 The Halting Problem Explained 09:29 Limits of Mathematical Knowledge 12:40 From Certainty to Uncertainty 16:19 The Rubber Duck Phenomenon 19:29 Unpredictability vs. Undecidability 20:18 Classical Chaos and the Butterfly Effect 27:12 Asteroids and Chaos Theory 34:32 The Navier-Stokes Riddle 41:18 The Cantor Set and Computation 46:18 Bridging Discrete and Continuous 49:21 Turing Completeness in Fluid Dynamics 1:02:39 The Quest for Navier-Stokes Solutions 1:06:53 The Role of Viscosity 1:12:09 Hybrid Computers and Fluid Dynamics 1:26:57 Unpredictability in Deterministic Systems 1:31:44 The Future of Computational Models Links Mentioned: •⁠ ⁠Eva's First Appearance [TOE]: https://youtu.be/6XyMepn-AZo •⁠ ⁠Moby Duck [Book]: https://amzn.to/4ldoYsZ •⁠ ⁠Roger Penrose [TOE]: https://youtu.be/sGm505TFMbU •⁠ ⁠The Emperor's New Mind [Book]: https://amzn.to/44jHpGK •⁠ ⁠Edward Frenkel [TOE]: https://youtu.be/RX1tZv_Nv4Y •⁠ ⁠Richard Borcherds [TOE]: https://youtu.be/U3pQWkE2KqM •⁠ ⁠Clay Mathematics Institute: https://www.claymath.org/ •⁠ ⁠Eva's Papers: https://scholar.google.com/citations?user=werIoRQAAAAJ&hl=en •⁠ ⁠Topological Kleene Field Theories [Paper]: https://arxiv.org/pdf/2503.16100 •⁠ ⁠Ted Jacobson [TOE]: https://youtu.be/3mhctWlXyV8 •⁠ ⁠Stephen Wolfram [TOE]: https://youtu.be/0YRlQQw0d-4 SUPPORT: - Become a YouTube Member (Early Access Videos): https://www.youtube.com/channel/UCdWIQh9DGG6uhJk8eyIFl1w/join - Support me on Patreon: https://patreon.com/curtjaimungal - Support me on Crypto: https://commerce.coinbase.com/checkout/de803625-87d3-4300-ab6d-85d4258834a9 - Support me on PayPal: https://www.paypal.com/donate?hosted_button_id=XUBHNMFXUX5S4 SOCIALS: - Twitter: https://twitter.com/TOEwithCurt - Discord Invite: https://discord.com/invite/kBcnfNVwqs #science Learn more about your ad choices. Visit megaphone.fm/adchoices

Lex Fridman Podcast
#472 – Terence Tao: Hardest Problems in Mathematics, Physics & the Future of AI

Lex Fridman Podcast

Play Episode Listen Later Jun 15, 2025 203:41


Terence Tao is widely considered to be one of the greatest mathematicians in history. He won the Fields Medal and the Breakthrough Prize in Mathematics, and has contributed to a wide range of fields from fluid dynamics with Navier-Stokes equations to mathematical physics & quantum mechanics, prime numbers & analytics number theory, harmonic analysis, compressed sensing, random matrix theory, combinatorics, and progress on many of the hardest problems in the history of mathematics. Thank you for listening ❤ Check out our sponsors: https://lexfridman.com/sponsors/ep472-sc See below for timestamps, transcript, and to give feedback, submit questions, contact Lex, etc. Transcript: https://lexfridman.com/terence-tao-transcript CONTACT LEX: Feedback - give feedback to Lex: https://lexfridman.com/survey AMA - submit questions, videos or call-in: https://lexfridman.com/ama Hiring - join our team: https://lexfridman.com/hiring Other - other ways to get in touch: https://lexfridman.com/contact EPISODE LINKS: Terence's Blog: https://terrytao.wordpress.com/ Terence's YouTube: https://www.youtube.com/@TerenceTao27 Terence's Books: https://amzn.to/43H9Aiq SPONSORS: To support this podcast, check out our sponsors & get discounts: Notion: Note-taking and team collaboration. Go to https://notion.com/lex Shopify: Sell stuff online. Go to https://shopify.com/lex NetSuite: Business management software. Go to http://netsuite.com/lex LMNT: Zero-sugar electrolyte drink mix. Go to https://drinkLMNT.com/lex AG1: All-in-one daily nutrition drink. Go to https://drinkag1.com/lex OUTLINE: (00:00) - Introduction (00:36) - Sponsors, Comments, and Reflections (09:49) - First hard problem (15:16) - Navier–Stokes singularity (35:25) - Game of life (42:00) - Infinity (47:07) - Math vs Physics (53:26) - Nature of reality (1:16:08) - Theory of everything (1:22:09) - General relativity (1:25:37) - Solving difficult problems (1:29:00) - AI-assisted theorem proving (1:41:50) - Lean programming language (1:51:50) - DeepMind's AlphaProof (1:56:45) - Human mathematicians vs AI (2:06:37) - AI winning the Fields Medal (2:13:47) - Grigori Perelman (2:26:29) - Twin Prime Conjecture (2:43:04) - Collatz conjecture (2:49:50) - P = NP (2:52:43) - Fields Medal (3:00:18) - Andrew Wiles and Fermat's Last Theorem (3:04:15) - Productivity (3:06:54) - Advice for young people (3:15:17) - The greatest mathematician of all time PODCAST LINKS: - Podcast Website: https://lexfridman.com/podcast - Apple Podcasts: https://apple.co/2lwqZIr - Spotify: https://spoti.fi/2nEwCF8 - RSS: https://lexfridman.com/feed/podcast/ - Podcast Playlist: https://www.youtube.com/playlist?list=PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4 - Clips Channel: https://www.youtube.com/lexclips

The Escaped Sapiens Podcast
`Last Unsolved Problem of Classical Physics' | Sasha Migdal | Escaped Sapiens #82

The Escaped Sapiens Podcast

Play Episode Listen Later Jun 8, 2025 96:49


Richard Feynman once dubbed turbulence “the last unsolved problem of classical physics.” Beyond the Navier–Stokes equations, no comprehensive statistical framework exists to predict how fluids spin, eddy, and cascade energy—whether in galactic jets, ocean currents, or the swirl of your morning coffee. But that might all be changing. In this episode, I sit down with theoretical physicist Sasha Migdal, who emerged from retirement with a bold, loop‑equation approach to turbulence. His formalism recasts the Navier–Stokes equations as an infinite number of linear, readily solvable equations that track circulation around closed loops in the fluid—offering, for the first time, a tractable statistical framework for chaotic flow. We chart Sasha's remarkable journey: from a promising career at the Landau Institute and Russian Space Institutes, where he resisted KGB pressure to compromise his work, to his defection to the United States in the late 1980s. We discuss his time outside of physics, and then delve into his return, and his novel approach to solving Navier–Stokes.  Since we recorded, his theory has advanced rapidly. A rigorous proof now shows that it is the solution  to the Navier–Stokes (NS) loop equation. The theory has also been extended to magnetohydrodynamics and turbulent mixing. Recent large-scale direct numerical simulations (DNS) match the theoretical predictions with even greater accuracy.  ►Watch On YouTube: https://youtu.be/BNORi7mxxzg ►Find out more about Sasha's work here: https://alexandermigdal.com/ https://sashamigdal.github.io/TurbulenceDuality/index.html ►For a more technical overview of Sasha's work you can check out his recent talk at the IAS: https://www.youtube.com/watch?v=mgvGA6q7oPY  

Engines of Our Ingenuity
The Engines of Our Ingenuity 3314: The Navier Stokes Equations

Engines of Our Ingenuity

Play Episode Listen Later May 21, 2025 3:52


Episode: 3314 The Navier Stokes Equations in Movies, Video Games and Hurricane Forecasts.  Today, the Navier Stokes equations.

inControl
ep31 - Miroslav Krstić: nonlinear adaptive control, PDEs, delays, extremum seeking, safety, neural operators for control

inControl

Play Episode Listen Later Apr 15, 2025 122:44


Outline00:00 - Intro01:07 - Early steps02:47 - Why control?05:20 - The move to the US07:40 - The first journal paper13:30 - What is backstepping?17:08 - Grad school25:10 - Stochastic stabilization29:53 - The interest in PDEs43:24 - Navier-Stokes equations52:12 - Hyperbolic PDEs and traffic models57:51 - Predictors for long delays1:08:14 - Extremum seeking1:27:14 - Safe control1:36:30 - Interplay between machine learning and control1:42:28 - Back to the roots: robust adaptive control1:50:50 - On service1:55:54 - AdviceLinksMiroslav's site: https://flyingv.ucsd.edu/Tuning functions paper: https://tinyurl.com/yznv6r9rP. Kokotović: https://tinyurl.com/mwmbm9yhSeparation and swapping:  https://tinyurl.com/y4fre6t8Adaptive nonlinear stabilizers: https://tinyurl.com/4a9wmmvxKKK book: https://tinyurl.com/2kw2b4k6Stochastic nonlinear stabilization: https://tinyurl.com/4td3537aFollow-up with unknown covariance: https://tinyurl.com/4c4n7fd7Boundary state feedbacks for PIDEs: https://tinyurl.com/4e9y4tdrBoundary Control of PDEs: https://tinyurl.com/d8x38bmjStabilization of Navier–Stokes systems: https://tinyurl.com/4a8cbjemTraffic congestion control: https://tinyurl.com/525jphs5Delay compensation: https://tinyurl.com/5yz6uj9pNonlinear predictors for long delays: https://tinyurl.com/7wvce6vyStability of extremum seeking: https://tinyurl.com/mr5cvzd3Nash equilibrium seeking: https://tinyurl.com/yeywrysnInverse optimal safety filters: https://tinyurl.com/9dkrpvkkNeural operators for PDE control: https://tinyurl.com/5yynsp7vBode lecture: https://tinyurl.com/mp92cs9uCSM article: Support the showPodcast infoPodcast website: https://www.incontrolpodcast.com/Apple Podcasts: https://tinyurl.com/5n84j85jSpotify: https://tinyurl.com/4rwztj3cRSS: https://tinyurl.com/yc2fcv4yYoutube: https://tinyurl.com/bdbvhsj6Facebook: https://tinyurl.com/3z24yr43Twitter: https://twitter.com/IncontrolPInstagram: https://tinyurl.com/35cu4kr4Acknowledgments and sponsorsThis episode was supported by the National Centre of Competence in Research on «Dependable, ubiquitous automation» and the IFAC Activity fund. The podcast benefits from the help of an incredibly talented and passionate team. Special thanks to L. Seward, E. Cahard, F. Banis, F. Dörfler, J. Lygeros, ETH studio and mirrorlake . Music was composed by A New Element.

Interplace
Record-Breaking Temperatures and the Uncertainty of Climate Predictions

Interplace

Play Episode Listen Later Jul 31, 2024 21:36


Hello Interactors,Flying provides a great opportunity to catch up on books and podcasts, but it also brings feelings of guilt. My recent trip likely contributed about 136 hot air balloons' worth of CO2 to the atmosphere. Should I feel guilty, or should the responsibility lie with airlines, manufacturers, and oil companies? We all contribute to global warming, but at least our destination was experiencing an unusually cool July. However, globally, the situation is very different and worsening faster than expected. What's to be done? Let's dig in.CLIMATE CONUNDRUMS CONFOUND CALCULATIONSThere are two spots on the planet that are not affected by climate change, and I recently flew over one of them. It's a patch in the ocean just off the coast of Greenland that our plane happened to fly over on a family vacation to Scotland. The other is a small band around the Southern Ocean near Antarctica. I likely won't be visiting that one.I learned this on the plane listening to a podcast interview by the physicist Sean Carroll with climate scientist and Director of NASA's Goddard Institute for Space Studies, Gavin Schmidt. Gavin has been at the forefront of climate science, spearheading efforts to quantify Earth's climatic fluctuations, develop sophisticated models for projecting future climate scenarios, and effectively communicate these findings to the public and policymakers.In this discussion, they talked about the methods currently employed in climate research, while also offering insights into the anticipated climatic shifts and their potential impacts in the coming decades. Gavin is known for bridging gaps between complex science and accessible information. I'm writing this piece to bridge some of my own gaps.For example, there's often mention that climate change has created more extreme swings in temperature — that the weather is increasingly varying from extreme heat to extreme cold. In statistics, this is called variance. Some argue this variance may be hard for us to detect because temperatures have been shifting — a phenomenon known as shifting baseline syndrome.Gavin says there's more to this question than people realize. He notes that it is relatively straightforward to detect changes in the mean temperature because of the law of large numbers. Temperature varies across three dimensions - latitude, longitude, and altitude. We can calculate an average temperature for any two-dimensional slice of this 3D space, resulting in a single representative value for that area.This video is a conceptual simulation showing a 3D volume of temperature readings (warmer toward the ground and cool toward the sky). The 2D plane ‘slices' the cube averaging the values as it encounters them and colors itself accordingly. Source: Author using P5.js with much help from OpenAI.With enough data, it's clear that there has been a significant warming trend almost everywhere on Earth since the 1970s. Approximately 98% of the planet has experienced detectable warming, with a couple exceptions like the ones I mentioned.But determining changes in the variance or spread of temperatures is more complex. Calculating variance requires a comprehensive understanding of the entire distribution of data, which requires a larger dataset to achieve statistical confidence. Schmidt points out that while we have enough data to confirm that the distribution of temperatures has shifted (indicating a change in the mean), we do not yet have sufficient data to conclusively state that the variance has increased.Recent temperature spikes tell this story well. For the last decade or more, many climate scientists have been confident in predicting increased global mean temperatures by looking at past temperatures. The global mean has been predictably increasing within known variances. But in 2023 their confidence was shaken. He said,“Perhaps we get a little bit complacent. Perhaps we then say, 'Okay, well, you know, we know everything.' And for the last 10 years or so, [that's been] on the back of both those long-term trends, which we understand…”He goes on to explain that they've been able to adjust temperature predictions based on past trends and the cyclical variances of El Nino and La Nina. Scientists have boldly claimed,“'Okay, well, it's gonna be a little bit cooler. It's gonna be a little warmer, but the trends are gonna be up. You know, here's the chance of a new record temperature.' And for 10 years that worked out nicely until last year. Last year, it was a total bust, total bust like way outside any of the uncertainties that you would add into such a prediction.”How far outside of known uncertainties? He said,“…we were way off. And we still don't know why. And that's a little disquieting.” He added, “…we ended up with records at the end of last year, August, September, October, November, that were, like they were off the charts, but then they were off the charts in how much they were off the charts. So, they were breaking the records where they were breaking the records by a record-breaking amount as well. So that's record breaking squared, if you like, the second order record breaking. And we don't really have a good answer for that yet.”There is ongoing research into why and some have speculated, but none of them add up.For example, we're currently nearing a solar maximum in the sun's 11-year cycle which increases solar irradiance, but that small increase doesn't fully explain the observed changes. Other factors may be at play. For instance, there have been significant shifts in pollution levels in China, and the shipping industry has transitioned to cleaner fuels, which, as hoped, could be influencing climate patterns.However, Schmidt notes that the quantitative analysis of these factors hasn't yet matched the observed changes. Identifying potential contributors to climate variations is one thing, but precisely quantifying their impacts remains a challenge. Schmidt said climate and planetary scientists hope to convene in December to share and learn more, but the extreme shift remains concerning.CALCULATING CLIMATE'S COUNTLESS COMPONENTSThe amount of data required to model the climate is daunting. In a separate TED talk, Schmidt reveals that understanding climate change requires considering variables that span 14 orders of magnitude, from the microscopic level (e.g., aerosols) to the planetary scale (e.g., atmospheric circulation). These accordingly have their own orders of magnitude on a time scale, from milliseconds of chemical reactions to weather events over days or weeks to long term changes over millennia, like ice ages or long-term carbon cycles.Climate models must integrate processes across these scales to accurately simulate climate dynamics. Early models could only handle a few orders of magnitude, but modern models have significantly expanded this range, incorporating more detailed processes and interactions.Schmidt highlights that climate models reveal emergent properties—patterns that arise from the interactions of smaller-scale processes. For instance, no specific code dictates the formation of cyclones or the wiggles in ocean currents; these phenomena emerge naturally from the model's equations.But there is a staggering amount of data to model. And it all starts with the sun.The sun provides 99% of the Earth's energy, primarily in the visible spectrum, with components in the near-infrared and UV. This energy interacts with the atmosphere, which contains water vapor, greenhouse gases, ozone, clouds, and particles that absorb, reflect, or scatter light.The energy undergoes photolytic reactions. Photolytic reactions are chemical reactions that are initiated or driven by the absorption of light energy which breakdown molecules into smaller units. We couldn't breathe without it. The earth's ozone is decomposed into oxygen in the atmosphere through these reactions, which is initiated by sunlight — especially in the stratosphere. This too must be tracked as the Earth rotates, affecting sunlight exposure.Upon reaching the ground, some sunlight is reflected, by snow for example, or absorbed by oceans and land. This influences temperatures which is then radiated back as infrared energy. This process involves complex interactions with clouds, particles, and greenhouse gases, creating temperature gradients that drive winds and atmospheric motion. These dynamics further affect surface fluxes, water vapor, cloud formation, and associated chemistry, making the entire system highly intricate. And this doesn't even remotely begin to approach the complexity of it all.To simplify Schmidt says they capture what they can in a column roughly 25 kilometers high and wide to study the inherent physics. Most of which he says,“…is just vertical. So, the radiation you can think of as just being a vertical process, to very good order. Convection is also just a vertical process. So, there's a lot of things that you can do in the column that allows you to be quite efficient about how you solve the equations.”  Schmidt adds that “each column [can] sit on a different processor, and so you can do lots of things at the same time, and then they interact via the winds and the waves and those kinds of things.”He said most of the calculations come down to these two sets of equations: Euler and Navier-Stokes. Euler equations are a set of partial differential equations in fluid dynamics that describe the flow of non-viscous and fluids, absent heat exchange. Named after the Swiss mathematician and physicist Leonhard Euler in the 18th century, these simplify the analysis of fluid flow by neglecting viscosity and thermal conductivity, focusing instead on the conservation of mass, momentum, and energy.Navier-Stokes, named after the 19th century French civil engineer Claude-Louis Navier and the Irish physicist George Gabriel Stokes, is based on Euler's work but adds viscosity back into the equation. Schmidt says these equations are sometimes used to measure flows closer to the surface of the earth.This video is a conceptual simulation showing a 3D volume of vectors (randomly changing direction and magnitude) with particles entering the field of vectors. Each particle (e.g. dust, rain, aerosol) gets pushed in the direction of the vector each encounters. You can clearly see the emergent swarming behavior complex adaptive systems, like our atmosphere, can yield. Also present are the apparent challenges that come with measuring and predicting these outcomes. Source: Author using P5.js with much help from OpenAI.These complex computational models are inherently approximations. They are validated against observations but remain simplifications of reality. This inherent uncertainty is a critical aspect of climate science, emphasizing the need for continuous refinement and validation of models.And while human-induce climate change denialists like to say the climate models are wrong and not worth considering, Schmidt has a clever retort,“Models are not right or wrong; they are always wrong, but they are useful.”NAVIGATING NATURE'S NEW NORMALMany wish climate change predictions had the kind of certainty that comes with basic laws of physics. While there are indeed efforts in complexity science to identify such laws, we're still in the foothills of discovery on a steep climb to certainty.For example, to even achieve the current level of climate prediction took approximately 30 years of research, involving multiple methods, replication, and more sophisticated physical modeling. This led to accurate calibration techniques for the paleothermometers that measure ice cores which reveal temperatures from around the planet dating back three million years.While there is some empirical certainty in this — derived from the periodic table, fundamental laws of physics, or observed correlations from spatially dispersed ice core samples — recent extreme variations in global temperatures give reason to question this certainty. These relationships were based on spatial variations observable today, but failed to account for change over time, which behave very differently.Schmidt says, “…it turns out that the things that cause things to change in time are not the same things that cause them to change in space. And so empirical relationships that are derived from data that's available rather than the data that you need can indeed lead you astray.”It begs the question: how far astray are we?We know over the last one hundred years or so the planet has warmed roughly an average of 1.5 degrees Celsius. This is a number that has been contorted in the media to mean some kind of threshold after which “something” “might” happen. But Schmidt cautions there is no way to know when we hit this number, exactly, and it's not going to be obvious. Perhaps it already pushed passed this threshold, or it may not for another decade.He says, “we are going to continue to warm on the aggregates because we are continuing to put carbon dioxide and other greenhouse gases into the atmosphere. Until we get effectively to net zero, so no more addition of carbon dioxide to the atmosphere, temperatures will continue to climb. The less we put in, the slower that will be. But effectively, our best estimate of when global warming will stop is when we get to net zero.”Getting to net zero involves significant and radical changes in energy production, industrial processes, and consumption patterns. Moreover, it will require an unprecedented comprehensive and coordinated worldwide effort across all sectors of the economy, institutions, and governments.This is true even for hypothetical and speculative climate engineering solutions like injecting sulfates into the atmosphere in attempts to cool the planet. According to Schmidt, not only would this require cooperation across borders, so long as we keep spewing emissions into the atmosphere, we'd be forever trying to cool the planet…for eternity or at least until we've exhausted all the planet's fossil fuels.It's hard to imagine this happening in my lifetime, if ever. After all, climate change is already disrupting and displacing entire populations and we're seeing governments, and their citizens, becoming increasingly selfish and isolationist, not collaborative.As Schmidt admits, “We're not on the optimum path. We're not on the path that will prevent further damage and prevent the need for further adaptation. So, we're going to have to be building climate resilience, we're going to have to be adapting, we're going to have to be mitigating, and you have to do all three. You can't adapt to an ever-getting-worse situation, it has to at some point stabilize.”Schmidt says he derives no joy in telling people “that the next decade is going to be warmer than the last decade and it was warmer than the decade before that.” He says, “It gives me no joy to tell people that, oh yeah, we're going to have another record-breaking year this year, next year, whenever. Because I'm not a sociopath. I'm a scientist, yes, but I'm also a person.”Schmidt's words resonate deeply, reminding us that behind the data and predictions are real people—scientists, citizens, and future generations—all grappling with the weight of our changing world. As we stand at this critical juncture, we're not just passive observers but active participants in Earth's unfolding story, a story that's leaving its mark on nearly every corner of our planet.The butterfly effect, as meteorologist Edward Lorenz proposed, isn't just about tornados in Texas being set off by a chain of events from the flap of a butterfly's wings in Brazil; it's a powerful metaphor for our collective impact. Each of us, in our daily choices and actions, creates ripples that extend far beyond our immediate sphere. In a world where only two small patches—one off Greenland's coast and another near Antarctica—remain untouched by climate change, our individual actions carry profound significance.The path to net zero isn't just about grand gestures or technological breakthroughs. It's about millions of small, intentional actions coalescing into a force powerful enough to alter our trajectory. As we face the challenges ahead, let's remember that our individual agency, when combined, has the potential to create tsunamis of change, even in places we may never visit ourselves.In the end, it's not just about preserving a habitable planet — it's about preserving our humanity, our connection to each other and to the Earth that sustains us. As we navigate this critical decade and beyond, let's carry with us the knowledge that every action, no matter how small, contributes to the larger narrative of our planet's future. We are all butterflies, and in a world where climate change-free zones are becoming as rare as a family vacation to Antarctica, our wings have never mattered more. This is a public episode. If you would like to discuss this with other subscribers or get access to bonus episodes, visit interplace.io

Topic Lords
244. Get Gimbal Locked, Dean!

Topic Lords

Play Episode Listen Later Jun 24, 2024 68:11


Lords: * Daniel * Andrew Topics: * Hyperthymesia * Animal Well * Bad news for my google alerts: "Twinbeard" is the name of the Helldivers 2 community manager * Dean asks "I know there are many seniors who are looking to start a business during retirement. For those who haven't settled on an idea yet, I'd love to suggest house flipping as a good way to earn income. May I write about this topic in a free article for your website -- specifically, how seniors can get into the house flipping business and become successful at it? I'll be sure to cover all the basics, including how to find the perfect property, how to finance the expenses, how to manage payroll for employees and contractors, etc. I'll also feature a link back to your website." * Should game developers "soak themselves" in games. Referring to this clip of Orson Welles: https://www.youtube.com/watch?v=dg-qaeIcuyI Microtopics: * Doom Guy: Life in First Person * A well full of animals. * A game that you keep hearing is great from people that you trust. * Remembering every detail of your life even though that's a terrible idea. * A cop asking you what you were doing on the night of November 3rd, 2021. * Fnords. * Eidetic memory vs. photographic memory vs. hyperthymesic memory. * Checking your memory of a time against your written records of that time. * Remembering that you're going to have a conversation about your day tonight so you had better do something interesting. * Data mining electronic records to figure out how you met somebody. * Playing a Sam Barlow game with your bank records. * Navier-Stokes fluid dynamics. * Spending a lot of time frowning. * Dark Forest. * A game providing you with a spoiler-free mechanism of conveying where you are in the game. * Shooting people vs. swording people. * The tools and verbs of just being a little guy. * Seeing a dog doing something you didn't expect to see a dog do. * Being unable to turn a crank because there's a blue ghost. * Choosing not to be a video game. * Setting up Google alerts for your game's working title. * Famous racehorse Secret Legend. * Liking some parts but not liking other parts. * How to construct a Google alert for t the video game Tunic. * Computer vision algorithms to increase yield and profitablity of insect farms. * How seniors can get into the house flipping business. * Collaborating with a spammer to write a poem about house flipping. * Exhorting a spammer to join the discord and post their dreams in the announcements channel. * A think tank dedicated to increasing house flipping around the world, measured by total rotation. * House flipping vs. house spinning. * A skateboard with the word "quaternion" written on it in a sick font. * Trying to flip a house but it gets gimbal locked and you lose everything. * Soaking in films. Just marinating in them. * Having virgin eyes in order to make great things. * Inventing video games from first principles. * The value of outsider art. * Shigeru Miyamoto inventing jumping. * Trying to remember the last time you jumped in real life. * Whether a historian has discovered the cave that inspired the Legend of Zelda. * What Stories Untold says about the Orson Welles quote about having virgin eyes. * Trying to prove yourself to a piece of software. * Trying to tell a story about a spaceship that doesn't involve combat. * 50 Years of Text Games. * Having read a book back when it was a blog. * Whether we have time for another topic. * Mixing a Red Bull with a Caffeine Free Coca Cola. * Sunlight patterns that remind you of wandering in the forest as a child * The disco ball as an extrapolation of dappled sunlight in the forest. * Out of focus motes of light. * Figuring out how to make a desert beautiful. * Living that home assistant life. * Going to a thrift store to buy a lamp to fix the terrible lighting in your hotel room. * A motor that's constantly jiggling a pot of water.

inControl
ep23 - Bassam Bamieh: Sampled Data Systems, PDEs, Distributed Control of Spatially Invariant Systems, Coherence, Resistive Losses, Cochlear Instabilities, and Stochasticity in Feedback Loops

inControl

Play Episode Listen Later May 15, 2024 143:12


Outline00:00 - Intro01:17 - Early Years04:17 - The “Scenic Route” to Control Theory12:44 - Sampled Data Systems22:26 - Linear Parameter Varying (LPV) Identification28:07 - From Distributed Systems and PDEs ...38:59 - ... to Distributed Control of Spatially Invariant Systems49:02 - Taming the Navier-Stokes Equations50:55 - Advice to Future Students1:13:12 - Coherence in Large Scale Systems1:32:28 - On Resistive Losses in Power Systems1:39:00 - Cochlear Instabilities1:50:40 - Stochasticity in Feedback Loops2:00:00 - About Linear and Nonlinear Control2:08:14 - How to Select a Research Problem2:14:21 - Future of Control2:22:06 - OutroLinks- Paper on moment-invariants and object recognition: https://tinyurl.com/26tnks3z- Bassam's PhD Thesis: https://tinyurl.com/3n2274dv- Identification of linear parametrically varying systems: https://tinyurl.com/mryebhhy- Distributed control of spatially invariant systems: https://tinyurl.com/rzszjch2- Shift Operator: https://tinyurl.com/24fwehet- Heat Equation: https://tinyurl.com/57rc6s7h- Navier-Stokes Equations: https://tinyurl.com/45ktrd2e- The impulse response of the Navier-Stokes equations: https://tinyurl.com/4vaausfn- Non-Normal Matrix: https://tinyurl.com/58z4sph8- Coherence in large-scale networks: https://tinyurl.com/ynm5cbay- The Price of Synchrony: https://tinyurl.com/3svzancw- Tinnitus: https://tinyurl.com/yc5hm549- Cochlear Instabilities: https://tinyurl.com/fjespjbj- Stochasticity in Feedback Loops: https://tinyurl.com/yc6aw9xt- Koopman Operator: https://tinyurl.com/3jeu68p8- Carleman Linearization: https://tinyurl.com/yckzrnfh- Mamba Model: https://tinyurl.com/33h59jwj- Spectral Factorization: https://Support the Show.Podcast infoPodcast website: https://www.incontrolpodcast.com/Apple Podcasts: https://tinyurl.com/5n84j85jSpotify: https://tinyurl.com/4rwztj3cRSS: https://tinyurl.com/yc2fcv4yYoutube: https://tinyurl.com/bdbvhsj6Facebook: https://tinyurl.com/3z24yr43Twitter: https://twitter.com/IncontrolPInstagram: https://tinyurl.com/35cu4kr4Acknowledgments and sponsorsThis episode was supported by the National Centre of Competence in Research on «Dependable, ubiquitous automation» and the IFAC Activity fund. The podcast benefits from the help of an incredibly talented and passionate team. Special thanks to L. Seward, E. Cahard, F. Banis, F. Dörfler, J. Lygeros, ETH studio and mirrorlake . Music was composed by A New Element.

Learn It from a Layman
The Basics of Fluid Mechanics

Learn It from a Layman

Play Episode Listen Later Nov 6, 2023 61:56


We discuss the basics of fluid mechanics. What is a Newtonian fluid? Can fluids be compressed? How do hydraulics work? What are fluid statics vs fluid dynamics? What is Pascal's Law? What are some of the formulas used in fluid mechanics? Can a fluid be squishy? What are the Navier–Stokes equations? How do you design a submarine and a jet engine? What is laminar flow vs turbulent flow?