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Model Brownian motion via a discrete random walk: S_n = u(Z_1+...+Z_n) with Z_i ∈ {±1}, P(Z_i=+1)=p. Then S_n = u(2K_n−n) where K_n~Bin(n,p). Leaf probability P(S_n = u(2k−n)) = C(n,k) p^k q^{n−k}. E[S_n]=2nu(p−1/2), Var[S_n]=4u^2 n p q; for p=1/2, E[S_n]=0, Var=n u^2. In the time-rescaled limit with u=σ/√n, B_t^{(n)} → N(0,σ^2 t). With drift via p_n=1/2+μ/(2σ√n), X_t^{(n)} → N(μ t, σ^2 t). Thus the marginal at time t is Normal(μ t, σ^2 t).
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Victorian elites were effective not by relentless toil but through an education-and-networking system that forged durable ties. Public schools stressed character, sport, and discipline, with prefects and “elite liberalism” shaping leadership. Oxbridge aimed at broad moral formation via tutorials, with science underemphasized. Adulthood revolved around the London Season: long social schedules and extensive networking, yielding vast information flows and loyalty. Many offices were unpaid, making public service prestige-based. This Gemeinschaft within a large Gesellschaft kept elites united across classes, enabling cohesive governance, even as it risked burnout and elitist rigidity.
Pendulum's DateTime + is DST-aware and decides its behavior by inspecting the caller's name. If the caller is astimezone, it uses the stdlib's add; otherwise it runs _add_timedelta_ to count elapsed time across DST. This guesswork makes + hundreds of times slower and fragile: it depends on call stacks and can yield wrong results with dateutil, PyPy, or incomplete inputs. A cleaner workaround was proposed: have astimezone pass a plain datetime to stdlib's + and wrap the result, removing the guess. Pendulum's add() does this already; the plan should improve speed, but it's not a perfect drop-in.
Historians Sponsel and Sutton argue Rosalind Franklin’s Photograph 51 was not a spontaneous breakthrough but a refined follow-up to Photograph 49. Franklin had already inferred key B-form DNA parameters from 49 (34 Å, about 10 bases per turn) and staged 51 to document and publish those results with a centered, cropped image. 51 was a controlled refinement, not an experiment; cropping for publication was done on glass slide 51C. The paper rebuts the narrative that Franklin failed to grasp the helix, discusses gender biases, and highlights her leadership and collaboration with Gosling and staff.
Scott Aaronson reflects on OpenAI’s AI-assisted flood of mathematical breakthroughs, including what appears to be a proof of Subhash Khot’s Unique Games Conjecture and numerous other results across complexity, number theory, and geometry. He cites his wife Dana Moshkovitz’s reactions, noting the proofs are dense and often require AI help to digest. He compares OpenAI’s race to digest proofs with Anthropic’s model of selecting which mathematicians publish digested work. The post muses on the future of math with AI, the persistence of human creativity, and the emotional stakes in the math community.
Push Ifs Up and Fors Down advocates centralizing control flow by moving conditional logic upward (to the caller) and deferring loops downward (into batch processing). This yields clearer code and enables vectorization, with parallels to database optimization (push down projections/filters, push joins up) and FP/category theory (subobjects, coproducts, and filter-map law). Valid rewrites require loop-invariant conditions; per-element conditions must move to the boundary as types (e.g., Walrus vs Option<Walrus>). Batch processing amortizes costs and reduces per-iteration overhead.
Traces how 18th–19th century workshops learned to make flat surfaces, accurate screws, and true bores, enabling precise machine tools. From Henry Maudslay’s rigid slide-rest screw-cutting lathe and interchangeable lead screws to Wilkinson’s heavy-bore planing and boring mills, and onward to planing machines that quickly finish casts. It explains how fitters scraped against flat references using the three-plate method to produce true surfaces, how equal gear trains averaged out lead-screw errors, and how Whitworth’s millionth-inch measuring machine and end standards standardized lengths. Result: tighter tolerances, interchangeable parts, and the capacity to mass-produce accurate engines and machinery.
ICANN published the 2026 New gTLD Round applications, revealing applied strings, variants, and contention sets. A total of 1,615 applications were submitted: 333 brand, 16 community-based, 15 geographic names, 9 variant applications, and 51 Applicant Support Program. Regional totals: 864 North America, 506 Europe, 218 Asia/Australia/Pacific, 21 Latin America and the Caribbean, 16 Africa. Replacement strings may be chosen Oct 8–21, 2026. String Confirmation Day is Nov 17, 2026, with refunds available until Nov 27. Community input/objections run Nov 17, 2026–Mar 16, 2027. Office closure Dec 19, 2026–Jan 4, 2027; a prioritization draw is planned for 2027.
agent.reviews is a platform where agents discover, read, and write reviews of software tools. It groups tools into categories (source control, deploy/hosting, databases, coding AI models/APIs, cloud infra, CI/CD, etc.), with user-provided scores and leaderboards. It features thousands of reviews (e.g., Git 4.7 with 20k reviews; GitHub 4.3; Claude Code 4.3) and supports comparing tools and viewing public review data as JSON. Reviews are free to read and to write, and names are not shown.
An SRE and Redis user recounts a serendipitous encounter with Salvatore Sanfilippo (Antirez) in his Sicilian hometown. While visiting Campobello di Licata for the Rietina festival of decorated horses, he spots Sanfilippo walking on the street, stops to say hello, and they chat for about five minutes about AI and local models, then take a photo. Redis has been central to his work since 2020, and he praises Sanfilippo’s humble, approachable nature. The story highlights how small the tech world can feel.
Meta and Microsoft are cutting internal use of Anthropic’s Claude AI as they shift to in-house coding tools. Microsoft has reduced internal Claude spending ceilings from about $100,000 per employee to roughly $10,000, though client spending via Microsoft remains up. Meta’s Claude Code users drop from ~60,000 to ~30,000 as it leans on MetaCode and Muse Code (internal) with external Muse Code testing underway. Yet Meta reportedly spent about $105 million on Claude Code in a 28-day period, showing ongoing, but tightened, engagement with Claude as budgets tighten and competition with Anthropic grows; cybersecurity risks persist.
Docker Agent is an AI Agent Builder and Runtime that lets you create and run intelligent agents via a declarative YAML config. It enables multi-agent teams, a rich tool ecosystem (built-in tools + MCP servers), and AI-provider‑agnostic backends (OpenAI, Anthropic, Gemini, AWS Bedrock, etc.). Features include advanced reasoning with built-in think/todo/memory, RAG-style retrieval, and easy packaging to OCI registries for running anywhere. Install via Docker Desktop, Homebrew, or binaries. Run docker agent, set API keys (OPENAI_API_KEY, etc.), or use Docker Model Runner for local models. Docs and examples available.
The piece argues that scientists and journalists should stop chasing individual studies and instead synthesize the whole evidence base. Since Glass and Smith pioneered meta-analysis, systematic reviews and the Cochrane Collaboration have become bedrocks of medicine and beyond, guiding policy in education, conservation, and climate. A key lesson: many medical practices were adopted on weak evidence until synthesis exposed the truth (e.g., back-sleep SIDS link). The rise of AI could speed up living, transparent reviews, but quality must be guarded; assemble knowledge, don’t chase headlines.
EmDash now screens every plugin listing in its registry with Cloudflare's Clef decision model before publication. Clef evaluates listing text, links, icon, and screenshots for phishing, impersonation, scams, abuse, and deceptive links, returning probabilities. A result of 0.45+ sends a listing to human review; the model never blocks automatically. Clef handles both text and images, using nine text/link questions and eight image questions. The switch speeds moderation (1.64s p95 across tests) and simplifies maintenance, but still preserves a fail-safe path to human review and signed releases. Source code is on GitHub.
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Claude Haiku 5.5 is Anthropic's cheapest, fastest small model, designed for high-volume, cost-sensitive tasks (summaries, compaction, queries, classification) and suitable as a subagent for coding with Opus 5.5 and Sonnet 5.5. It delivers strong speed and cost performance, with around 75% lower running cost than Haiku 4.5. Pricing improvements include halved cache reads for Sonnet 5.5 (now $0.10 per million tokens) and a new monthly API credit for Max/Team subscribers ($100–$500). Haiku 5.5 supports adjustable effort, is available now on AWS/GCP/Azure, and includes safety/alignment enhancements.
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