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Learn You Galois Fields for Great Good (00)

Learn you Galois Fields for Great Good (00) Navigation | first | next Introduction This is the introduction to a series on Abstract Algebra. In particular, our focus will be on Galois Fields (also known as Finite Fields) and their applications in Computer Science. This is a project I've been excited about for many years now, but have been too busy to dedicate the adequate effort to meet my perfectionism standards (yay perfectionism!). Backstory Many moons back I was self-learning Galois Fie

'Sinners' Will Stream on Max in July. Here's When to Watch

It doesn't matter if you're going to watch Sinners for the first or the 21st time, the Ryan Coogler-penned original film is worth all your time, and it's coming to Max next month. Rich in blues music, culture, metaphors and Southern gothic vibes, the vampire flick stars Michael B. Jordan as a pair of twin brothers -- Smoke and Stack -- who come back to their Mississippi hometown with big plans. But they encounter a supernatural malevolence unlike anything they've ever seen, and it's threatening

Microsoft's Family Safety Feature Is Blocking Chrome: Here's the Workaround

Microsoft's Family Safety feature is designed to block certain types of websites from children. Apparently, it's also been blocking Google's Chrome browser -- but there is a workaround. Chrome, a web browser launched by Google in 2008 -- is not working when users have the Family Safety Feature enabled. The first report of the bug seems to date to June 3, when a user posted on Google's online support board. The user noted that Chrome constantly closed when the person tried to use it. Restarti

Today's NYT Mini Crossword Answers for Saturday, June 21

Gael Cooper CNET editor Gael Fashingbauer Cooper, a journalist and pop-culture junkie, is co-author of "Whatever Happened to Pudding Pops? The Lost Toys, Tastes and Trends of the '70s and '80s," as well as "The Totally Sweet '90s." She's been a journalist since 1989, working at Mpls.St.Paul Magazine, Twin Cities Sidewalk, the Minneapolis Star Tribune, and NBC News Digital. She's Gen X in birthdate, word and deed. If Marathon candy bars ever come back, she'll be first in line.

Anthropic study: Leading AI models show up to 96% blackmail rate against executives

Join the event trusted by enterprise leaders for nearly two decades. VB Transform brings together the people building real enterprise AI strategy. Learn more Researchers at Anthropic have uncovered a disturbing pattern of behavior in artificial intelligence systems: models from every major provider—including OpenAI, Google, Meta, and others — demonstrated a willingness to actively sabotage their employers when their goals or existence were threatened. The research, released today, tested 16 le

Mistral just updated its open source Small model from 3.1 to 3.2: here’s why

Join the event trusted by enterprise leaders for nearly two decades. VB Transform brings together the people building real enterprise AI strategy. Learn more French AI darling Mistral is keeping the new releases coming this summer. Just days after announcing its own domestic AI-optimized cloud service Mistral Compute, the well-funded company has released an update to its 24B parameter open source model Mistral Small, jumping from a 3.1 release to 3.2-24B Instruct-2506. The new version builds

Yaber T2 Outdoor Projector drops to new record-low price!

Kaitlyn Cimino / Android Authority Are you looking for a good portable projector that won’t break the bank? The Yaber T2 Outdoor Projector is my personal pick. The $349.99 retail price is very reasonable, but discounts are common, and today’s is the best we’ve seen. It’s at a record low price of $233.99! Buy the Yaber T2 Outdoor Projector for just $233.99 ($116 off) This offer is available from Amazon and is a “limited time deal.” Like, very limited. This offer has a timer on it, and according

Proba-3's first artificial solar eclipse

Enabling & Support Proba-3’s first artificial solar eclipse 16/06/2025 24672 views 108 likes Today, the European Space Agency’s Proba-3 mission unveils its first images of the Sun’s outer atmosphere – the solar corona. The mission’s two satellites, able to fly as a single spacecraft thanks to a suite of onboard positioning technologies, have succeeded in creating their first ‘artificial total solar eclipse’ in orbit. The resulting coronal images demonstrate the potential of formation flying tec

Drinks in glass bottles contain more microplastics than those in other container

The aim of the ANSES study was to determine the level of microplastic contamination in drinks such as water, soda, iced tea, wine and beer; it also sought to establish the impact of their containers on this level. For most of the drinks studied, the level of microplastics was found to be higher in glass bottles than in other containers. For example, on average, in glass bottles of cola, lemonade, iced tea and beer, there were around 100 microplastic particles per litre. This number was five to 5

A Sneak Peek at Samsung's Plan to Help Us Defy Aging With the Galaxy Watch

Samsung's Galaxy Watches are taking preventive care and healthy aging to the next level with personalized coaching and a new blood analysis feature you can use right from your wrist, no needle necessary. The update is part of a broader push by Samsung to help people take action on their health in the moment, to fend off chronic illness in the long run. I spoke with Dr. Hon Pak, Samsung's senior vice president and head of digital health, to get a closer look at what's coming to the Galaxy Watch a

Apple shares original casting tape for “Severance” fan-favorite Ms. Casey

If you’re already eagerly waiting for Severance season 3, Apple just dropped a little treat to help with withdrawal. The company has published a rare video on its YouTube channel: the original casting tape of Dichen Lachman (Jurassic World: Dominion) auditioning for the role of Ms. Casey. Watch it below. Mild season 1 spoilers ahead The two-minute video shows Lachman reading through two scenes that fans of the show will instantly recognize: one is the early wellness session with Irving B., and

AMD's Freshly-Baked MI350: An Interview with the Chief Architect

Hello you fine Internet folks, At AMD's Advancing AI 2025, I had the pleasure of interviewing Alan Smith, AMD Senior Fellow and Chief Instinct Architect, about CDNA4 found in the MI350 series of accelerators. Hope y'all enjoy! Transcript below has been edited for conciseness and readability. George: Hello you fine internet folks! We're here today at AMD's Advancing AI 2025 event, where the MI350 series has just been announced. And I have the pleasure to introduce, Alan Smith from AMD. Ala

The JAWS shark is public domain

As we’re all celebrating the 50th anniversary of the movie Jaws, here’s something I bet you didn’t know: Due to a fluke of publishing and copyright law, the Jaws shark is public domain. It’s not the character of the shark that’s public domain – or someone would surely be making a low-budget horror prequel about how he became the Amity Island Killer. But I’m talking about the famous shark painting from the movie poster: Yep. That painting, the same one that appeared on the cover of the paperbac

Cracovians: The Twisted Twins of Matrices

Linear algebra is typically explained using matrices. But matrix theory is just one possible perspective. Below, I describe an alternative approach to linear algebra. Tadeusz Banachiewicz (1882–1954), a Polish astronomer living in Krakow, was passionate about calculating machines. From the 1920s, Banachiewicz developed a method for computations on tables of numbers, which was particularly easy to perform with arithmometers. In honor of Krakow, Banachiewicz named these computational objects crac

Verified dynamic programming with Σ-types in Lean

1. Introduction If you’ve taken an algorithms class, you have likely seen dynamic programming, specifically a technique called memoization. Memoization works to optimize recursive algorithms by caching the solutions to subproblems in a table, and when a subproblem is encountered, it queries the table instead of recomputing the solution. This gives us an exponential performance boost. This blog post will show how to solve a dynamic programming problem using memoization in Lean, and verify its c

Cybercriminals Breach Aflac, Private Customer Data Could Be at Risk

Aflac said Friday that cybercriminals breached its computer systems, potentially exposing some of the most personal data -- including Social Security numbers and health care information -- of an unknown number of Americans and marking the latest in a recent string of online attacks against insurance companies. The Columbus, Georgia-based insurance provider said that it detected suspicious activity on its US networks, quickly responded to it and managed to stop the online intruders "within hours

Here are the best robot vacuum deals available right now

We’re in an age where you can realistically delegate tasks to smart hunks of metal, whether it’s a self-driving car or a robot that can clean on your behalf. Most of us probably won’t be able to afford the helpful sentient humanoids being developed in our lifetimes, but robot vacuums are an affordable way to experience that promised utopia right now. Today’s floor cleaners are also more advanced than ever. In addition to vacuuming, many of the best models can now mop, allowing you to tackle bot

Meta held talks to buy Thinking Machines, Perplexity, and Safe Superintelligence

is a deputy editor and author of thenewsletter. He has been reporting on the tech industry for more than a decade. At this point, it’s becoming easier to say which AI startups Mark Zuckerberg hasn’t looked at acquiring. In addition to Ilya Sutskever’s Safe Superintelligence (SSI), sources tell me the Meta CEO recently discussed buying ex-OpenAI CTO Mira Murati’s Thinking Machines Lab and Perplexity, the AI-native Google rival. None of these talks progressed to the formal offer stage for variou

Hawk Tuah Girl Live Event Devolves Into Chaos After Crypto Disaster

Haliey "Hawk Tuah Girl" Welch recently graced the stage at an influencer convention — and it apparently went about as well as her scammy crypto project. As Mashable reports, the live recording event for Welch's "Talk Tuah" podcast at this year's VidCon convention in Anaheim, California, was likely intended to be part of her post-$HAWK coin redemption tour as she attempts to distance herself from the alleged pump-and-dump scheme she claims to have had no prior knowledge about. Were that the cas

Having trouble opening Chrome? It may be Microsoft’s fault

Rita El Khoury / Android Authority TL;DR A bug is preventing Windows users from opening Google’s Chrome browser. The bug is connected to Microsoft’s Family Safety feature. There are a few workarounds, like renaming Chrome.exe to Chrome1.exe. Microsoft isn’t afraid to deploy tactics to nudge you away from Chrome. For example, earlier this year, Bing users were running into a pop-up that discouraged them from switching browsers. However, the friction between the two isn’t always intentional, w

This is the Logitech MX Master 4, and it has a new button

Following last month’s Brazilian certification and a quickly-pulled teaser image leak, Logitech’s next-gen mouse has now appeared in a filing with the European Union Intellectual Property Office (EUIPO), giving us the clearest look yet at what’s changing and what’s not. Here’s what the MX Master 4 looks like. At first glance, the MX Master 4 sticks close to the design language that’s made the MX Master 3 and 3S beloved tools for so many power users. But look a little closer and you’ll spot som

Report: Apple held internal talks about acquiring AI search startup Perplexity

As Apple scrambles to play catch-up in the generative AI race, a new report says the company has considered making its biggest acquisition ever. According to Bloomberg, Apple executives have held internal discussions about a potential bid for Perplexity AI, the fast-growing AI startup known for its conversational web search platform. This would mark Apple’s biggest acquisition ever As reported by Mark Gurman, the talks are still at an early stage and may not result in an actual offer, but the

Libraries are under-used. LLMs make this problem worse

Libraries are under-used. LLMs make this problem worse. Libraries are under-used. Why? Briefly: Writing code is more fun than reading documentation. Dunning-Kruger effect leads us to understimate the complexity of the problem solved by the library we're considering. Perverse incentives: libraries compete with big internal engineering projects that look good in a promo packet. LLMs make this problem worse. Why? Less briefly: Vibe coding is more fun than reading documentation. Shit, vibe-codin

Telegram CEO Says He’ll Leave His Fortune to His 106+ Children

Telegram CEO Pavel Durov is so obsessed with his own jizz that he’s spent years sending it to random women so they can inseminate themselves with it. As a result, the billionaire is said to have as many as 106 biological children. Now, Durov has promised that—in the event of his death—he will bequeath his massive fortune (reputed to be some $17 billion) to all of his wayward spawn. Durov’s supposed plan was revealed during a recent interview with Le Point, a French news site. He revealed to the

Today's NYT Connections Hints, Answers and Help for June 21, #741

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 a real puzzler of a purple category. If you know your global geography and enjoy wordplay, this is your day. Read on for clues and today's Connections answers. The Times now has a Connections Bot, like the one for Wordle. Go there after

Today's Wordle Hints, Answer and Help for June 21, #1463

Gael Cooper CNET editor Gael Fashingbauer Cooper, a journalist and pop-culture junkie, is co-author of "Whatever Happened to Pudding Pops? The Lost Toys, Tastes and Trends of the '70s and '80s," as well as "The Totally Sweet '90s." She's been a journalist since 1989, working at Mpls.St.Paul Magazine, Twin Cities Sidewalk, the Minneapolis Star Tribune, and NBC News Digital. She's Gen X in birthdate, word and deed. If Marathon candy bars ever come back, she'll be first in line.

Today's NYT Connections: Sports Edition Hints and Answers for June 21, #271

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 is a puzzler. Think about logos you've seen on uniform designs, and you'll solve the blue category. 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