Number of the Day - "31" This podcast is produced by Klassic Studios. Check out our other podcasts there! Sources Number sequence definitions come from the On-Line Encyclopedia of Integer Sequences (OEIS). Historical material is adapted from Wikipedia, used under the Creative Commons Attribution-ShareAlike licence. Minor planet details come from the NASA/JPL Small-Body Database. Learn more about your ad choices. Visit megaphone.fm/adchoices

Saturn’s famous northern hexagon has a fascinating southern counterpart: a ten-sided atmospheric wave. We explore the observations behind the southern decagon, how waves in a jet stream can create polygonal patterns, and what this unusual structure may reveal about the ringed planet’s changing atmosphere. It’s a journey into the fluid dynamics of a giant world—and the surprising geometry that moving air can produce. Note: This podcast was AI-generated, and sometimes AI can make mistake...

Chips shipping through twenty twenty-seven could run up to one hundred seventy-one million AI agents at once. One company just got quoted two hundred forty thousand dollars a year to keep running the single agent it already has. Building them is easy. Paying for them isn't. We go through the memory bottleneck behind that agent math, OpenAI's internal data agent built by two engineers, and why Salesforce, Atlassian, and HubSpot are starting to charge extra for every agent API call. Get full access to

Hosts Sadie Witkowski and Ian Martin return for this season of Carry the Two, where we are exploring the intersection of AI and mathematical research. In this episode, we are joined by postdoctoral researcher Saptarshi Pal, who explains how he uses game theory to study social behavior in large language models. Find our transcript here: Google Doc Make sure to check out more about Saptarshi Pal's

In this episode of "In the Interim…", Dr. Scott Berry recounts a presentation he gave to the Speak Foundation, a patient organization focused on limb-girdle muscular dystrophy and makes the case for master protocols directly to the stakeholder trials exist to serve. Opening with the deliberately absurd premise of a sports league that constructs a four-billion-dollar stadium for every single game and demolishes it at the final whistle, Scott reframes the conventional one-off trial as a

Follow Regression to the Mean Girls on [⁠⁠⁠Apple Podcasts⁠⁠⁠], [⁠⁠⁠Spotify⁠⁠⁠], or wherever you love to listen!⁠Emily Riederer⁠⁠⁠⁠⁠ (Capital One) joins ⁠⁠⁠⁠⁠⁠⁠Sarah Lotspeich⁠⁠⁠⁠⁠⁠⁠ and ⁠⁠⁠⁠⁠⁠⁠Lucy D'Agostino McGowan⁠⁠⁠⁠⁠⁠⁠⁠ with a data-driven side quest into scraping election data. Check out the full process here: ⁠⁠⁠⁠⁠⁠⁠regressiontothemeangirls.com⁠⁠⁠⁠⁠⁠⁠Follow along on instagram: ⁠⁠⁠⁠⁠@regressiontothemeangirls⁠⁠⁠

Dando continuidade à nossa fascinante imersão pelo Egito Antigo, chegamos à segunda parte dessa jornada matemática pelas margens do Nilo! Neste episódio, aprofundamos a análise do Papiro de Ahmes e exploramos os conceitos mais engenhosos e intrigantes desenvolvidos pelos escribas egípcios.No Bloco 3, debruçamo-nos sobre os célebres Problemas de Aha (palavra hieroglífica que significa "quantidade" ou "monte"). Analisamos como esses problemas práticos e conceituais funcionavam, realizando a leitura

arXiv math.CAの新着論文8本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-05/Maximal directional singular integralsSpace curve Fourier restriction for orthonormal functionsWeak type $(1,1)$ bounds for oscillatory singular integrals with rough kernelsSharp rational points counting near nondegenerate curves in $\mathbb{R}^n$Counterexamples for Rational Points Near CurvesInput-Endpoint Compactness and Essential Norms for Weighted Bilinear Hardy OperatorsCompactness and

arXiv math.GRの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-05/Soficity of One-Relator GroupsOn the residual finiteness of the non-abelian exterior square of some Artin groups, constructible soluble groups, generalised Baumslag-Solitar groups and $SL_n(\Z)$Prime Graphs of Locally Torsion Ultragroups, Metanilpotent Groups, and $T$-Solvable GroupsUniform Upper Bounds for Conjugacy Separability Growth in Nilpotent GroupsArithmetic properties of solubilizersMenger

arXiv math.NTの新着論文55本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-06/The Riemann-Siegel remainder as a fractional summandGaps, isolated points, and the origin of the ray in the one-dimensional Dirichlet spectrumExponential generating functions for Apostol-Dedekind and related sumsNonvanishing of special $L$-values of cusp forms on $\mathrm{GL}(2)$ with totally split prime power twists: without the class number hypothesisOn Mahler $U$-numbers under rational

arXiv math.RAの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ra/episodes/2026-10-06/Generalizing the $A^A$ Problem for Finite Ordered SetsFinite-dimensional Lie subalgebras of the universal enveloping algebra of $\mathfrak{sl}(2,\mathbb{C})$Characterization of the centrally finite Amitsur-Small division ringsGeneralized Commutator on Octonion AlgebraFormal Matrix Rings with the Involution PropertyHypergraphs associated to skew polynomial algebras and surface triangulationsA simple

arXiv math.ACの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-06/Peskine and Szpiro's Dimension inequality holds over local rings of depth at most oneRamification invariants of pure extensionsOn injective dimension of the conormal moduleTraces of powers of canonical idealsOn the $\phi$-Weak Global Dimensions and $\phi$-Global DimensionsAsymptotic Castelnuovo-Mumford regularity of (co)homology modules involving powers of idealsPolynomials with restricted support

arXiv math.RTの新着論文20本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-06/The Benson--Etingof--Ostrik conjecture for finite tensor categoriesChromatic characters and root multiplicities for Borcherds--Kac--Moody algebrasOn the $K$-types of certain families of unitary highest weight representations of Hermitian Lie groupsCombinatorics of Mirkovi\'c-Vilonen cycles in twisted affine Grassmannianssimple cartan-free modules of finite rank over the super-virasoro

arXiv math.AGの新着論文64本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-10-06/Doubly isolated Batyrev mirror pairs and non-smoothable Calabi-Yau threefoldsFlasque resolutions of linear reductive group schemesStability of the Cotangent Bundle on Surfaces with Ample Canonical ClassFrom wall structures to closed mirror symmetry. The case of $K_{\mathbb{P}^2}$: Renormalized periods over the positive real locus, closed Gromov-Witten invariants from wall functions, and tropical

Comparing vendor quotes for a dedicated software development team is easy. Understanding what those quotes actually represent — and what they leave out — is a different challenge entirely. This episode of DEV.co unpacks the full total cost of ownership (TCO) for a dedicated dev pod in 2026, drawing on the 2026 dedicated dev team cost breakdown published by DEV.co, and gives listeners a framework for making a defensible, apples-to-apples comparison across every major staffing model.Here's

Number of the Day - "30" This podcast is produced by Klassic Studios. Check out our other podcasts there! Sources Number sequence definitions come from the On-Line Encyclopedia of Integer Sequences (OEIS). Historical material is adapted from Wikipedia, used under the Creative Commons Attribution-ShareAlike licence. Minor planet details come from the NASA/JPL Small-Body Database. Learn more about your ad choices. Visit megaphone.fm/adchoices

What if solving a difficult computing problem meant letting a physical system settle into a lower-energy state? We explore Ising machines, which translate choices and constraints into interacting spins and search for useful solutions. From optical oscillators and digital annealers to superconducting quantum hardware, discover the different ways researchers are putting this idea to work—and why mapping problems, escaping local minima, and scaling the hardware remain central challenges. Note:&...

Addition is one of the first mathematical operations children meet, but that doesn’t mean it’s simple.In this episode of AfterMaths, Jon and Becky take a closer look at what it really means to understand addition. They explore why knowing lots of different strategies matters, why column addition should be a tool rather than the destination, and why Jon has, somewhat inexplicably, developed a favourite addition calculation.There’s also some Wordle mathematics, new research into the importance of

Já parou para pensar em como o Tinder decide quem aparece no seu ecrã? Será destino, sorte ou apenas pura matemática? No episódio de hoje, vamos abrir a "caixa preta" dos algoritmos de relacionamento. Descubra o que o xadrez tem a ver com o seu próximo encontro, como a regra dos 37% podem ajudar a escolher a alma gémea (sem perder tempo) e por que razão ter demasiadas opções no menu do amor pode ser uma armadilha estatística. Vista a sua melhor roupa, prepare os fones e venha descomplicar a ciência