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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

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

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

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

The golden Trump Phone is almost certainly not made in the US

Not content with a real estate empire and the presidency of the United States, the Trump family is wading into the phone wars like it's 2011 with a shiny gold monstrosity called the T1, the marketing of which leans extensively on the narrowest idea of patriotism. Beyond the immediate question — why do this, like, at all? — the T1 invites a question that's perhaps easier to interrogate: How can any modern smartphone claim to be made in the US? Over the last 40 years America has led a massive glo

A New Welcome Offer for The Platinum Card® from American Express Gives Me Pause. Here's Why

CNET/Getty Images Would you apply for a credit card that costs hundreds of dollars if the issuer wouldn't tell you what the welcome offer was? American Express recently changed the language for the terms on The Platinum Card® from American Express without specifying the exact number of points you'd be eligible to earn with its welcome offer. A credit card's welcome bonus -- a lump sum of rewards you can earn typically for reaching a certain spending threshold in a specified number of months -

Career advice, or something like it

My name is Marc Brooker. I've been writing code, reading code, and living vicariously through computers for as long as I can remember. I like to build things that work. I also dabble in machining, welding, cooking and skiing.I'm currently an engineer at Amazon Web Services (AWS) in Seattle, where I work on databases, serverless, and serverless databases. Before that, I worked on EC2 and EBS.All opinions are my own. Career advice, or something like it If I could offer you a single piece of care

Best Internet Providers in Chicago, Illinois

What is the best internet provider in Chicago? CNET’s top recommendation for most households in Chicago is AT&T Fiber due to its ultra-fast symmetrical speeds, straightforward pricing and solid availability. If AT&T Fiber isn’t available in your neighborhood, Xfinity, Verizon 5G Home Internet and Rise Broadband are reliable alternatives. The best internet provider for your home depends on your budget and speed needs. To help you decide, our broadband experts reviewed the top options and found

You Can Snag a $200 Amazon Instant Gift Card. Here's How

Zooey Liao/CNET The Prime Visa is easily the best credit card for shopping on Amazon with its high rewards rate and instant Amazon gift card offer. Ahead of the four-day Prime Day event on July 8-11, this card just upped its welcome offer from $150 to $200. It's rare for a credit card to offer a welcome bonus that you don't have to "earn" by spending a certain amount with the card. And while the Prime Visa technically has no annual fee, to get approved for this card, you'll need to be a Prime

The Download: talking dirty with DeepSeek, and the risks and rewards of calorie restriction

AI companions like Replika are designed to engage in intimate exchanges, but people use general-purpose chatbots for sex talk too, despite their stricter content moderation policies. Now new research shows that not all chatbots are equally willing to talk dirty. DeepSeek is the easiest to convince. But other AI chatbots can be enticed too. Huiqian Lai, a PhD student at Syracuse University, found vast differences in how mainstream models process sexual queries, from steadfast rejection to perf

The Lowfree Flow84 is the mechanical keyboard Apple would make today

The Lowfree Flow84 is the latest episode in my on-again, off-again love affair with mechanical keyboards. I describe it as the mechanical keyboard Apple would make for a mix of good and bad reasons, but we’ll get to that! It’s one of a relatively new breed of low-profile mechanical keyboards, something that would have seemed a contradiction in terms just a few years earlier … What’s a mechanical keyboard anyway? Given that Apple-style chiclet keyboards now dominate the market, and many Mac us

Snap is acquiring Saturn, a calendar app used at thousands of high schools

Snap has acquired Saturn , a calendar app for high school and college students. The company didn't disclose the terms of the deal but said that close to 30 of Saturn's full-time employees will be joining Snap as part of the acquisition. It's not clear what exactly Snap has planned for Saturn, but the company confirmed to Engadget that the calendar app will continue to operate as a standalone service. It also suggested that the acquisition could help Snap bring calendar-focused features into Sna

Wyze wants to keep prying eyes away from your cameras with this new feature

Wyze Wyze is rolling out a new program to make sure only you can see your home security cameras. In an announcement Tuesday about its new VerifiedView program, Wyze explained that it already uses "strong protections like password requirements, two-factor authentication, cloud security, encryption, tools to detect suspicious logins, and much more." Despite those efforts, though, the company has suffered several high-profile breaches that potentially let people look into strangers' homes. Also:

Why I recommend this budget Android phone to most people over Samsung and Google

ZDNET's key takeaways The Nothing Phone 3a Pro offers exceptional value at its $459 sale price. An improved design, camera stack, and charging speed round out this year's upgrades. The lack of wireless charging and IP rating is easy to shoulder, but not the lack of retail presence. View now at Nothing View now at Amazon View now at Walmart more buying choices There's no greater reality check for a tech journalist than when you're at a family gathering, set your phone on the dining table, and

Topics: 3a camera phone pro zdnet

Show HN: Nxtscape – an open-source agentic browser

The Open-source Agentic Browser. Nxtscape ("next-scape") is an open-source agentic browser – your privacy-first alternative to closed-source browsers (like Arc, Dia, Perplexity Comet). Built on Chromium, Nxtscape lets you run Manus like agents locally and boost your productivity with an AI-sidekick. $${\color{red}Download}$$ link for macOS We'd love to hear what problems you'd like to see solved! Share your ideas through our anonymous form. Looks like Chrome, but with AI superpowers. We believ

After raising $38M, African e-commerce startup Sabi lays off 20%, pivots to traceable exports

African B2B e-commerce startup Sabi has laid off around 20% of its workforce (~50 employees) as it pivots from its original retail-focused platform to double down on a growing business in commodity exports. The layoffs, confirmed by the company on Thursday, are part of a broader restructuring aimed at aligning resources with what it describes as rising demand for traceable, ethically sourced commodities, an area it began building out last year under a new vertical called TRACE (Technology Rails

X app code points to a physical card coming to X Money

X’s plans for a payments service may extend beyond the digital realm, new data suggests. According to findings from mobile app intelligence firm App Sensa, the X app has been updated over the past few weeks with several references related to a physical debit card, which can be customized with your X username. Dozens of new strings of code in the X app reference various actions you can take with the new debit card, including checking its shipping status, activating your card after it arrives, re

Open source can't coordinate?

Open Source Can’t Coordinate I was taking a shower this morning, and was pondering yesterday’s problem, where I suspect that I have an outdated version of hotspot Linux profiler, but I can’t just go and download a fresh release from GitHub, because hotspot is a KDE app, and I use NixOS. And NixOS isn’t a problem — it’s a solution. Linux on desktop is a rickety tower of competing libraries, protocols and standards, which is always in an Escheresque sort of perpetual motion, taking off but simul

Visualizing environmental costs of war in Hayao Miyazaki's Nausicaä

Audrey Aguirre Upland High School, Upland, CA, USA. Email: audrey.a.aguirre (at) gmail (dot) com Download PDF Past studies on Nausicaä of the Valley of the Wind (風の谷のナウシカ; Topcraft, 1984) have primarily focused on its ecological themes and anti-war messages through analysis of the narrative as a whole or Nausicaä’s character. These studies address the ethical and environmental consequences of war shown through the dystopian nature of the film’s setting and its religious symbolism. However, I

Tesla and Google’s Robotaxis Still Really Aren’t That Autonomous

Tesla’s impending robotaxi service comes with a whole list of caveats you’ll need to agree to before you huddle into the backseat of its autonomous vehicles. Or, perhaps they’re not really that autonomous. The first Tesla Model Y Cybercab services will be limited to select participants (including Tesla influencers), but even then drivers can expect to have a “safety monitor” in the driver’s seat. This may be a remote individual making sure the cars don’t cause any vehicular snafus, but it also s

Crisol is a BioShock-Like Cult Horror Shooter Using Your Blood For Bullets

One of the best things about Summer Game Fest is discovering games that blend some of your favorite classics into something wholly new. Crisol: Theater of Idols is a game with clear BioShock influence in its first-person shooter exploration, but melds some cult horror from games like Resident Evil 4 into the mix. On top of it all, to reload your gun, you've gotta sacrifice your own blood -- and take a chunk from your own health bar. It's a novel mechanic that combines with the gothic, nautical

Aflac discloses breach amidst Scattered Spider insurance attacks

On Friday, American insurance giant Aflac disclosed that its systems were breached in a broader campaign targeting insurance companies across the United States by attackers who may have stolen personal and health information. Aflac (short for American Family Life Assurance Company) is the largest supplemental insurance provider in the U.S. and a Fortune 500 company that provides insurance services to millions of customers in the U.S. and Japan. In a press release earlier today, the insurance c

Wanted: New Instruments to Fund BBNs

Today’s piece is a guest post by Alex Obadia. Alex is a new program director at the UK’s Advanced Research and Invention Agency (ARIA). As Alex puts it, his focus is “currently on designing new enabling trust primitives for a world where many more substrates (e.g. DNA, materials, thoughts) are programmable.” I met Alex last month at the ARIA Summit. At the Summit, I got to spend several days talking with ARIA staff, incoming PDs, and ARIA ‘Creators’ — ARIA’s word for R&D contractors. My discuss

Topics: alex bbn bbns capital new

Storage Prices Are Going Nuts, Grab a New Samsung MicroSD Card With Adapter for Early Prime Day

Storage prices, to put it politely, have been all over the place lately. You could get motion sickness watching them rise and fall and rise again, and there’s of course the ever-present threat of tariffs that would suddenly balloon the prices of storage and many other tech goods. So when the roller-coaster of storage pricing rolls downward, it’s smart to grab some while you can. Now’s a good time, if Amazon’s 36% off deal on the Samsung EVO Select MicroSD memory card and adapter is any indicatio

Troubling Case Links Vaping to Aggressive Lung Cancer

Vaping might be safer than cigarette smoking, but they carry their own health risks. A New Jersey man’s electronic cigarette habit likely contributed to his fast-spreading, fatal lung cancer, his doctors say. Doctors at the AtlantiCare Regional Medical Center in Atlantic City detailed the tragic death this month in the American Journal of Case Reports. The 51-year-old former smoker and longtime vaper developed an aggressive lung cancer that killed him just months after diagnosis. Though a causa

Coinbase secures EU crypto license, swaps Ireland for Luxembourg as main hub

Coinbase has secured a license from Luxembourg to offer crypto services across the European Union and will make the country its central hub in the region. The U.S. crypto exchange's main European base has been in Ireland since 2023. Coinbase said Friday that it obtained its Markets in Crypto Assets (MiCA) license from Luxembourg's Commission de Surveillance du Secteur Financier (CSSF). MiCA is a sweeping regulation that aims to create a harmonized legal framework for crypto across all 27 EU m

Show HN: SnapQL – Desktop app to query Postgres with AI

SnapQL cursor for data ⚡️ - explore your postgresql db in seconds demo.mp4 generate schema-aware queries in seconds with AI supports any PostgreSQL database fully local desktop app use your own OpenAI key Build SnapQL locally I will eventually ship some precompiled binaries, but that takes some setup. In the meantime, follow these steps to build a local copy:

Show HN: Ts-SSH – SSH over Tailscale without running the daemon

ts-ssh: Powerful Tailscale SSH/SCP CLI Tool A streamlined command-line SSH client and SCP utility that connects to your Tailscale network using tsnet . Features powerful multi-host operations, batch command execution, and real tmux integration - all without requiring the full Tailscale daemon. Perfect for DevOps teams who need fast, reliable SSH access across their Tailscale infrastructure. Features 🚀 Core SSH/SCP Functionality Userspace Tailscale connection using tsnet - no daemon required

Galaxy Z Fold 7 renders reveal a major camera change hiding in plain sight

TL;DR Leaked Galaxy Z Fold 7 renders show that the phone will have a punch-hole camera on its folding screen. This would be a major change as Samsung has used an under-display camera since 2021’s Galaxy Z Fold 3. This means the Galaxy Z Fold 7 should take higher-quality selfies and videos with this camera. The Samsung Galaxy Z Fold 7 is expected to launch next month, and apparent renders were posted online yesterday. These images show an impressively thin foldable phone, but another change we

How to clear your Android phone cache (and why you should do it before installing Android 16)

Elyse Betters Picaro / ZDNET Google recently released Android 16 to Pixel devices and select OEMs, bringing performance improvements, new Material You changes, and more upgrades. If you want to try this update but are hesitant because you've noticed your Android phone or tablet already feels too sluggish, clearing app and browser caches can give it a fresh boost and free up some storage space. Over time, cached data can accumulate, become corrupted, or simply get outdated, which may slow down