Number of the Day - "7" 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

OpenAI has announced that an advanced internal AI system successfully resolved the Navier–Stokes Millennium Prize Problem by proving that fluid dynamics can develop a singularity in finite time. This breakthrough was achieved using a multiagent system of 10,000 concurrent agents that utilized tools and cross-pollination of ideas to formulate an analytical proof and a Lean formalized verification. By demonstrating that smooth motion can lead to infinite speeds, the research clarifies a 90-ye...

Two independent measurements seem to disagree on the Universe’s expansion: a precise early‑Universe hint from the cosmic microwave background vs. a faster late‑Universe value from the distance ladder. In this deep dive, we trace the plans to resolve the tension using JWST data, massive galaxy surveys, and gravitational‑wave standard sirens. We explore proposed fixes like early dark energy and late‑time dynamics, the new tensions they spark (like S8), and why upcoming observatories—Rubin, Eucl...

OpenAI opened up the system that powers its own coding agent, Codex, for anyone to build on. Spending per employee among the heaviest AI users fell almost ten percent last month, even as token prices kept falling. More power to build, less appetite to pay for it. We go through what OpenAI's new Agents API actually hands developers, why buyers are picking cheaper models over frontier ones, and how Cloudflare quietly upgraded the internet's encryption without anyone lifting a finger. This is a public

Most proposal teams have a compliance matrix. Fewer have one that actually does anything. This episode of Development tackles the gap between a compliance matrix as a formality and a compliance matrix as a genuine production tool — walking through the mechanics, the common failure points, and the specific habits that separate teams who catch requirement gaps early from teams who find them in evaluation notices.Here's what the episode covers: The "shred" step: Why you must copy exact

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/2026-09-11/Finite Hardy Phase Theory for Power Means: An exact analytic shooting family through the Carleman parameterDimension-free estimates for full discrete maximal functions associated with Euclidean balls and spheresOn the log-concavity of the composite Bessel function $x^{\alpha}J_{\nu }\left( \beta x^{\gamma}\right) $Riesz capacity ratios with negative exponentsShorter proof of dimension-free $L^p$

arXiv math.GRの新着論文3本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-11/Reversibility and its asymptotic counting in Picard groupConjugator length in finitely generated groupsMetric Geometry of the Signature Group for $p$-Variation Rough Paths

2026年9月、数学の未解決問題ナビエ・ストークス方程式を巡り、NYUのバックマスター教授とOpenAIが衝突した。進捗情報の漏洩疑惑とクレジットを巡る攻防の末、OpenAIは3,000億トークンを投じて先に証明を発表。この一件を受け、テレンス・タオ氏ら25人のフィールズ賞受賞者が、AI企業の性急な発表姿勢は数学界の検証と継承の文化を壊しかねないと警告する声明を出した。〇A Severe Misalignment of AI in Mathematics（Math and AI宣言、2026年9月11日）https://mathandai.org/〇OpenAI fought dirty on career-making math problem, says NYU mathematician（TechCrunch、2026年9月8日）https://techcrunch.com/2026/09/08/openai-fought-dirty-on-career-making-math-problem-says-nyu-mathematician/〇OpenAI's feud with

Number of the Day - "6" 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

從 Swandia 的 Notebook System 談起。。紙筆是思考開始發想與建立連結整理的重要工具，他們不僅幫忙紀錄，更是我們一起思考的利器。現代新的工具，鍵盤與AI也許更適合知識內容中後段的成型與回饋。工具不斷推陳出新，使用者要掌握選擇工具，使用工具的能力與時機，才更能發揮這些工具的擅長，並整合優化自己的內建能力。歡迎收聽 訂閱分享指教

We discuss OpenClaw 2.0 and its evolution from a simple automation tool into a distributed, multi-user AI agent platform. We explore the architectural changes behind the release, including transactional SQLite storage, easier onboarding, and a redesigned web-based Control UI. We also cover shared cloud sessions for collaborative coding and Side Chat for interacting with agents without cluttering the main task context. Plus, we examine the security vulnerabilities, permissive defaults, and ent...

A security test escaped its sandbox and a Claude model published a tainted package that fifteen outside systems installed. Reading from Claude's cache costs four times less than the same read on GPT-6 Astra. One went wrong, one paid off. We go through the leak, why Suno rebuilt its licensing deals, why Spotify passed on Bayesian testing, and a cloud push, a WordPress shakeup, and a new orchestration release. This is a public episode. If you would like to discuss this with other subscribers or get