Article

Democratic Senate landslide shifts spotlight away from Alaska

The stunning national victories by Democrats in the U.S. Senate races won’t eliminate the Trump claims of corruption about the contest in Alaska, but they guarantee that the future control of the Senate doesn’t rest on whether Trump and Sen. Dan Sullivan can promote their claim that a Sullivan loss is due to cheating by Mary Peltola.

Reporting From Alaska · EN

Disjointness between Sets (3)

We prove Theorem 1 on 8/31/26 in this post. Given \( k, l, m \in [n] \) such that (1.1) and \( k \) mutually disjoint \( m \)-sets \( U_1, U_2, \ldots, U_k \), let \( \mathcal{H} \) be the family of \( l \)-sets each intersecting with every \( U_i \). Our goal […]

The Sunflower Conjecture and P vs. NP Problem · EN

Disjointness between Sets (4)

Let’s confirm Corollary 2 on 8/31/26 lastly. We are given \( k, l, m \in [n] \) such that \( k \le \min (l, \epsilon m )\),and an \( \mathcal{F} \subset {X \choose m} \) satisfying the \( \Gamma \left( 8^{\sqrt{\ln m}} \sqrt m ~k \ln k \right) \)-condition. As \( k \) is sufficiently […]

The Sunflower Conjecture and P vs. NP Problem · EN

Disjointness between Sets (5)

In this post, we start proving the three claims posed in the appendix of Paper S6 as mentioned last time. Links to: index page, 8/4/25, 8/11/25, Links for mobile devices

The Sunflower Conjecture and P vs. NP Problem · EN

Disjointness between Sets (6)

Continued to prove the claim (5.3) for Lemma A.2 of Paper S6 Ver. 1. Links: index page, last post(9/28/26), 8/18/25, 8/11/25. Links for mobile devices

The Sunflower Conjecture and P vs. NP Problem · EN

Disjointness between Sets (7)

To finish proving Lemma A.2 of Paper S6, we are to substitute (6.5) into (5.1) with (6.6) and (6.7). Links: index page, 10/5/26 (last post), 9/28/26, 9/21/26 Links for mobile devices

The Sunflower Conjecture and P vs. NP Problem · EN

Disjointness between Sets (8)

We’ll finish proving Theorem A.2 of Paper S6 in this post. Links to: index page, 10/12/26 (last post), 9/28/26, 9/21/26, 9/7/26, 7/21/25, the generalized binomial theorem. Next time, we’ll prove the remaining two corollaries on 9/21/26 to finish our verification of Paper S6 Ver. 1. I’ll upload its second version by then. Links for mobile […]

The Sunflower Conjecture and P vs. NP Problem · EN

Disjointness between Sets (9)

In this post, we finish our coverage on Paper S6 Ver. 1 by confirming the two corollaries given on 9/21/26. I’ve uploaded the second version of the paper on the left, which strengthens Theorem 1.1 on 8/21/26. We’ll start covering it next time. Please have a look. Links to: index page, 10/19/26 (last post), 10/12/26, […]

The Sunflower Conjecture and P vs. NP Problem · EN

Disjointness between Sets (10)

The second version of Paper S6 posted last time relaxes the assumption (1.1): \( klm \ll n ~\wedge~ k \ll \sqrt l \) of Theorem 1 on 8/31/26. With the same terminology, it proves that: Theorem 1.1. Let \( k, l, m \in [n] \) such that \[ (10.1) \qquad \qquad k^{3-\gamma} lm \ll n, […]

The Sunflower Conjecture and P vs. NP Problem · EN

Life by the Numbers — November 4, 2026

An automatically generated look at today's numbers.

The Code Room · EN

One in Ten Billion

There is a particle that lives for about one and a half trillionths of a second, and physicists have spent four decades waiting for it to die in one particular way.

The Code Room · EN

Tibo 便秘 28 天拉出 14 张重置卡：现在的 ChatGPT，除了吃我硬盘还会跟我抬杠！

11 月 1 日，周日。OpenAI 掌管 Codex 和 ChatGPT 的大总管 Tibo，终于在 X 上发出了“28 天计划（28 Days of Shipping）”的最后一帖。 点开一看，正文就特么一行字： 存…

石龙仔文库 · ZH

MouseCat: 多屏幕之间一键跳转

MouseCat: 多屏幕之间一键跳转 -王福强的个人博客：一个架构士的思考与沉淀 福强私学 福强AI学堂 架构百科 博客文章 创作出版 产品与服务 登录信息 更多链接 MouseCat: 多屏幕之间一键跳转 王福强 2026-11-04 昨天在果总群里分享自己的作品集的时候， 盛总在群里说想要一个catchmouse那样的软件， 我之前没听说过这个软件 就google了一下（嗯，老习惯，但架不住人家现在也在头部提供AIGC啊🤣） 发现是一个macOS上使用的多屏幕之间快速移动鼠标的软件 虽然我有2-3块屏幕 但说实话，我大部分时间就只盯着一块屏幕 所以，对这个软件并没有那么强的需求 但鉴于昨天刚沉淀了一份个人用的macOS project setup 规范 正好用来练兵 最后，花了差不多半天时间，搞出了这个 MouseCat 是不是觉得很快？ 嘿嘿 其实光看结果肯定觉得很 easy 啦 但任何一个产品 处理中间的过程细节才是最累人的 比如， 前面几版我只让Agent专注核心功能了， 但UI层面我没有提要求， 所以，刚开始几版的界面是这样的： 后面功能稳定了 才开始着手打磨更高级质感的UI和UX 最后， 才是最终版本的这版MouseCat： 喜欢吗？ 如果你有多屏幕，还使用macOS系统，快去下载试试吧？ https://afoo.me/mousecat/ 最重要的， 免费～（I

福强说 一个架构士的思考与沉淀 · ZH

NYT Strands hints, answers for November 4, 2026

The NYT Strands hints and answers you need to make the most of your puzzling experience.

Mashable · EN

NYT Connections hints today: Clues, answers for November 4, 2026

Connections is a New York Times word game that's all about finding the "common threads between words." How to solve the puzzle.

Mashable · EN

NYT Connections hints today: Meanings for each word for Nov. 4, 2026

Why is NYT Connections trending today? Explaining the meanings behind the clues for NYT Connections #1242.

Mashable · EN

Moon phase today: What the Moon will look like on November 4, 2026

See the Moon phase expected for November 4, 2026 as well as when the next Full Moon is expected.

Mashable · EN

How to watch Fenerbahçe vs. Liverpool online for free

How to watch Champions League for free. Live stream Fenerbahçe vs. Liverpool in the Champions League for free.

Mashable · EN

How to watch Slavia Prague vs. Arsenal online for free

How to watch Champions League for free. Live stream Slavia Prague vs. Arsenal in the Champions League for free.

Mashable · EN

How to watch RB Leipzig vs. Man City online for free

How to watch Champions League for free. Live stream RB Leipzig vs. Manchester City in the Champions League for free.

Mashable · EN

Hurdle hints and answers for November 4, 2026

Hints and answers to today's Hurdle all in one place.

Mashable · EN

No Rug Under the Bed, Still Cozy: 7 Bedrooms Built to Collect Less Dust

You vacuum the bedroom every week, change the sheets on Sunday, and still wake up to a gray film on the nightstand and a sneeze before your feet hit the floor. Then you move the bed to plug in a lamp and find it: a thick line of dust along the edge of the big […] The post No Rug Under the Bed, Still Cozy: 7 Bedrooms Built to Collect Less Dust appeared first on Trendir .

Trendir · EN

CISA Confirms Hackers Exploiting WordPress Core Flaw During Software Upgrades

The U.S. Cybersecurity and Infrastructure Security Agency (CISA) has added a security flaw in WordPress Core to the Known Exploited Vulnerabilities (KEV) catalog, citing evidence of active exploitation. The high-severity vulnerability, tracked as CVE-2026-119977 (CVSS score: 8.1), is a case of Time-of-check Time-of-use (TOCTOU) race condition that could be exploited to achieve arbitrary code

The Hacker News · EN

24 Best Early Black Friday Home Deals, Vetted by AD (2026)

Christmas trees, cashmere bedding, high-tech vacuums: Shop it all now for up to 70% off so you can relax after your turkey dinner

Architectural Digest · EN