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Minimal Boolean Formulas

Minimal Boolean Formulas Posted on Wednesday, May 18, 2011. 28. That's the minimum number of AND or OR operators you need in order to write any Boolean function of five variables. Alex Healy and I computed that in April 2010. Until then, I believe no one had ever known that little fact. This post describes how we computed it and how we almost got scooped by Knuth's Volume 4A which considers the problem for AND, OR, and XOR. A Naive Brute Force Approach Any Boolean function of two variables ca

A Chinese firm has just launched a constantly changing set of AI benchmarks

Development of the benchmark at HongShan began in 2022, following ChatGPT’s breakout success, as an internal tool for assessing which models are worth investing in. Since then, led by partner Gong Yuan, the team has steadily expanded the system, bringing in outside researchers and professionals to help refine it. As the project grew more sophisticated, they decided to release it to the public. Xbench approached the problem with two different systems. One is similar to traditional benchmarking:

Good News: Two of Apple TV+’s Most Slept-On Sci-Fi Shows Have Hopeful Plans for More

If you’re a sci-fi fan, you really must check out Apple TV+—streaming home of so many of the best genre shows right now. Two standouts happen to have the same executive producer among their credits: David S. Goyer, who’s part of team Murderbot as well as team Foundation. Murderbot‘s first season wraps up July 11, the same day Foundation returns for its third season. Neither show has been renewed beyond that, but to hear Goyer tell it, the future is looking bright. “I don’t want to give away too

AirTag’s newest feature is now supported by JetBlue, here’s what that means

AirTags have long been a go-to device for tracking luggage when traveling. But a recently added feature made that experience better than ever, and now JetBlue supports the change. JetBlue now offers process for sharing AirTag location when luggage gets lost Just before the end of last year, Apple shipped a major new feature for AirTag. iOS 18.2 introduced a capability called ‘Share Item Location.’ Essentially the new feature offers a way to temporarily share tracking information for a lost A

‘Elio’ Gave Pixar Its Worst Box Office Opening Ever

Elio may have garnered some very solid reviews–low for Pixar considering its back catalogue, but still very solid–but that apparently wasn’t enough to save it from setting a pretty grim record. The movie is now currently Pixar’s worst-performing opening weekend, but while there is still plenty of time for things to change, what it might say about the future of the studio’s output isn’t so optimistic. Variety reports that Elio ranked third at the Box Office this weekend behind the still-continue

Rocknix is an immutable Linux distribution for handheld gaming devices

Welcome to the ROCKNIX Wiki ¶ Just Enough Linux Operating System (ROCKNIX) is an immutable Linux distribution for handheld gaming devices focused on retro gaming emulation. It is developed by a small community of enthusiasts and our goal is to produce an operating system that has the features and capabilities we need and to have fun as we develop it. Integrated cross-device local and remote network play. In-game touch support on supported devices. Fine grain control for battery life or perfo

Apple keeps pulling its own ads

is a news writer who covers the streaming wars, consumer tech, crypto, social media, and much more. Previously, she was a writer and editor at MUO. Apple has taken down a new ad just one day after posting it, making it the fourth one removed in just over a year, as spotted earlier by MacRumors. The nearly eight-minute-long ad, titled “The Parent Presentation,” featured comedian Martin Herlihy giving students advice on how to convince their parents to buy them a Mac. Apple posted the ad on Frid

Scaling integrated digital health

Through a survey of 300 health care executives and a program of interviews with industry experts, startup leaders, and academic researchers, this report explores the best practices for success when implementing integrated digital solutions into health care, and how these can support decision-makers in a range of settings, including laboratories and hospitals. Key findings include: Health care is primed for digital adoption. The global pandemic underscored the benefits of value-based care a

DJI Osmo Action 4 in 4K/120fps Costs Peanuts, Amazon Clears Stock at Record Low for Early Prime Day

Amazon has already begun selling pre-Prime Day discounts, and this year’s early sale is available to all, even non-Prime members. That’s correct, you can score top-of-the-line technology for major discounts without the need for a subscription. If you’re in the market for an action cam to capture all your summer activities with pro-level quality, the DJI Osmo Action 4 is an excellent choice. Right now, the DJI Osmo Action 4 is available on Amazon for $249, down from its usual list price of $299.

Pompliano’s ProCap raises over $750 million, goes public via SPAC as bitcoin treasury bubble grows

The race to create publicly traded bitcoin treasuries is accelerating — and so is the capital pouring in. ProCap Financial, the latest entrant, has raised more than $750 million and is going public through a special purpose acquisition company, or SPAC, with Columbus Circle Capital Corp. I, according to an announcement Monday. Led by investor and podcast host Anthony Pompliano, ProCap raised more than $750 million in its funding round, including $235 million in convertible debt, with equity ma

Report: Apple to announce ‘some’ App Store changes in the EU to avoid additional DMA fines

In April, Apple was fined 500 million euros for violating the Digital Markets Act in the European Union. Since that penalty was announced, however, the company hasn’t announced any further changes to its App Store Guidelines to avoid further fines. A new report from the Financial Times today says that Apple is “locked in last-minute” negotiations with the European Commission about ways to ease its App Store anti-steering provisions. Following the fine in April, Apple was given 60 days to start

Bandwidth vs. Latency: We Chatted With an Internet Connectivity Expert to Understand the Difference

Having fast, reliable home internet is essential these days for work, school, streaming and browsing. But understanding how much speed you need, or even what "internet speed" even means, can be a daunting task. Bandwidth and latency are two key factors that affect how we perceive the speed of our internet connection. But while you may hear them used together quite often, these two terms have distinct meanings. Understanding what they are and the difference between them can help you troubleshoot

Hawaii Highways

Aloha! Click the dark green buttons on the left for lists of the Interstate, state, and some county highways on the Big Island (Hawaii island), Maui, Lanai and Molokai, Kauai, and Oahu. Go to those lists for detailed information on specific routes, including route numbers, names, termini, mileages, and sometimes historical or other information and/or links to photos and other material elsewhere on this site. Also on the left is a button for detailed guides to Oahu Freeways exits and interchange

Verlet Integration and Cloth Physics Simulation (2022)

Physics simulation in games (or simply game physics) is a vast topic, and in this post we'll cover only a tiny part of it; yet certainly an interesting one! Let's understand what Verlet integration is by implementing a simple 2D cloth simulation with C++. Physics in games is always fun, isn't it? Have you ever ditched the main quest of a level just to blow something up? I know I have. But even more fun than watching objects bounce around the screen is to understand how we can use simple concep

Scroll snapping, state queries, monster hunter, and gamification

In this (long) part of the customizable select series, it’s all about gamification. In this article, I’d like to highlight one of my demos, where I aimed to recreate a piece of UI found in the Monster Hunter games. To re-create this behavior, I had to think in terms of keyboard navigation first. This demo requires quite a lot of CSS, as well as some scripting, and in the end, I do want to highlight some accessibility concerns. This is an experiment on how far we can take it when styling select e

Taiwan Is Rushing to Make Its Own Drones Before It's Too Late

In the span of just a few years, drones have become instrumental in warfare. Conflicts in Ukraine, Iran, Nagorno-Karabakh, Sudan, and elsewhere have shown how autonomous vehicles have become a quintessential part of modern combat. It’s a fact that Taiwan knows all too well. The island nation, fearing imminent invasion from China, has both the need, know-how, and industry necessary to build a robust and advanced drone program. Yet Taiwan, which has set an ambitious target of producing 180,000 d

Don't plug these 7 appliances (including AC units) into extension cords - according to professionals

NurPhoto / Gettyimages Extension cords are generally a safe solution for running power to electronics that are too far from the nearest wall outlet. But the operative word here is "electronics," which is not as all-encompassing as some people might think. Also: This palm recognition smart lock doubles as a video doorbell (and has no monthly fees) Appliances (like refrigerators and toaster ovens) are obviously electronic devices, but they're in a different class from most electronics because o

Nano-Vllm: lightweight vLLM implementation built from scratch

To see all available qualifiers, see our documentation . Saved searches Use saved searches to filter your results more quickly We read every piece of feedback, and take your input very seriously. You signed in with another tab or window. Reload to refresh your session. You signed out in another tab or window. Reload to refresh your session. You switched accounts on another tab or window. Reload to refresh your session. Dismiss alert

2025 Alonzo Church Award: Paul Blain Levy for Call-by-Push-Value (CBPV)

The 2025 Alonzo Church Award for Outstanding Contributions to Logic and Computation is presented to Paul Blain Levy for his fundamental study of effectful λ-calculi through the Call-by-Push-Value calculus. The awardee book and paper are: Paul Blain Levy. Call-By-Push-Value: A Functional/Imperative Synthesis. Semantics Structures in Computation 2, Springer 2004, ISBN 1-4020-1730-8 Paul Blain Levy. Call-by-Push-Value: Decomposing call-by-value and call-by-name. High.-Order Symb. Comput. 19(4): 3

Using Wave Function Collapse to solve puzzle map generation at scale

🎮Game 🧩Puzzle 🤖Algorithm 🎲PCG 💻Game Dev Background Logic Islands, released by sublevelgames on June 20, 2025, is a game where players place islands and walls according to predefined rule sets. The game features 6 different rule sets, and WFC was used to create stages for 3 of these rules. Today, I’d like to share the story behind this implementation. WFC WFC (Wave Function Collapse) is a type of PCG (Procedural Contents Generation) algorithm that analyzes the connectivity patterns of source

Disabling Intel Graphics Security Mitigation Boosts GPU Compute Performance 20%

While not talked about as much as the Intel CPU security mitigations, Intel graphics security mitigations have added up over time that if disabling Intel graphics security mitigations for their GPU compute stack for OpenCL and Level Zero can yield a 20% performance boost. Ubuntu maker Canonical in cooperation with Intel is preparing to disable these security mitigations in the Ubuntu packages in order to recoup this lost performance.I haven't looked at the Intel graphics security mitigation cost

SMB-focused Finom closes €115M as European fintech heats up

While funding may be scarce for some, Europe’s fastest-growing startups still have their pick. The latest beneficiary of that investor appetite is Finom, a five-year-old, Amsterdam-based challenger bank that targets small and medium-size businesses across Europe. The company, which claims to have doubled its revenue in 2024, just closed a €115 million Series C equity round (around $133 million), TechCrunch learned exclusively. This comes only a few weeks after it landed $105 million in growth f

From fear to fluency: Why empathy is the missing ingredient in AI rollouts

Join the event trusted by enterprise leaders for nearly two decades. VB Transform brings together the people building real enterprise AI strategy. Learn more While many organizations are eager to explore how AI can transform their business, its success will hinge not on tools, but on how well people embrace them. This shift requires a different kind of leadership rooted in empathy, curiosity and intentionality. Technology leaders must guide their organizations with clarity and care. People use

How to negotiate your salary package

The complete guide to salary negotiation for engineers and other professionals who think negotiating is morally questionable. Until I ran VaccinateCA my single most important career contribution might have been writing about salary negotiation. That essay has been read by millions of people. Of those people, a relatively small percentage send me email to tell me that the advice has worked for them. I previously kept a spreadsheet of the impact they shared with me, and it ticked over into eight

The cultural decline of literary fiction

Recently, there has been a lot of talk about the “decline of the literary (straight) (white) male.” The marginal benefit provided by an additional take on this topic, some clever new angle walking the tightrope between edgy and politically correct, is rapidly approaching zero. The problem with these articles—and the discourse as a whole—is that none of them go far enough. There is an impassable chasm between the stardom of Mailer, Updike, McCarthy, DFW, Franzen, etc and whoever is getting fello

Using Home Assistant, adguard home and an $8 smart outlet to avoid brain rot

Beating Brainrot by Button The internet is the bane of my existence. Ads, distractions, sponsored content, bad news, bad ideas, more ads, social media, antisocial media, even more ads. Also, I’m a software developer, so the internet is basically indispensable for me, a central pillar of my income and a convenient way to communicate with friends, family, loved ones, associates, acquaintances, people from my sports club, superpositions of all previous groups and enemies alike. And I think my com

Today's NYT Connections Hints, Answers and Help for June 23, #743

Looking for the most recent Connections answers? Click here for today's Connections hints, as well as our daily answers and hints for The New York Times Mini Crossword, Wordle, Connections: Sports Edition and Strands puzzles. Today's NYT Connections puzzle has some entertaining categories, including two from the world of books. Read on for clues and today's Connections answers. The Times now has a Connections Bot, like the one for Wordle. Go there after you play to receive a numeric score and

Today's NYT Connections: Sports Edition Hints and Answers for June 23, #273

Looking for the most recent regular Connections answers? Click here for today's Connections hints, as well as our daily answers and hints for The New York Times Mini Crossword, Wordle and Strands puzzles. Today's Connections: Sports Edition might be tough. Read on for hints and the answers. Connections: Sports Edition is out of beta now, making its debut on Super Bowl Sunday, Feb. 9. That's a sign that the game has earned enough loyal players that The Athletic, the subscription-based sports jo

Tesla launches robotaxi rides in Austin with big promises and unanswered questions

Tesla has started giving rides in driverless Model Y SUVs in Austin, a decade after CEO Elon Musk began making — and breaking — myriad promises about his company’s ability to launch such a service. The rollout will become the first big test of Musk’s belief that it’s possible to safely deploy fully autonomous vehicles using just cameras and end-to-end AI – an approach that differs from other players in the space like Waymo. On Sunday, numerous videos shared on social media as well as sources i

The Cultural Decline of Literary Fiction

Recently, there has been a lot of talk about the “decline of the literary (straight) (white) male.” The marginal benefit provided by an additional take on this topic, some clever new angle walking the tightrope between edgy and politically correct, is rapidly approaching zero. The problem with these articles—and the discourse as a whole—is that none of them go far enough. There is an impassable chasm between the stardom of Mailer, Updike, McCarthy, DFW, Franzen, etc and whoever is getting fello