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Learn you Galois fields for great good (2023)

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

Captain Cook's missing ship found after sinking 250 years ago

Your support helps us to tell the story Read more Support Now From reproductive rights to climate change to Big Tech, The Independent is on the ground when the story is developing. Whether it's investigating the financials of Elon Musk's pro-Trump PAC or producing our latest documentary, 'The A Word', which shines a light on the American women fighting for reproductive rights, we know how important it is to parse out the facts from the messaging. At such a critical moment in US history, we need

Life as Slime

This article concludes Issue 06. Watch our Behind-the-Scenes interview with the author on YouTube. By Thomas Moynihan In 1832, Ferdinand von Ritgen, a German physician, puzzled over how the first generation of humans birthed themselves. He pictured their embryos sprouting spontaneously “without procreating parents preceding them,” like fungal growths emerging from the ground. By Ritgen’s day, it was understood that life on Earth had predated humanity’s debut for eons and that living creatures

The Art of Bijective Combinatorics

- the correponding set of slides of each lecture, - a website which enable one to navigate inside the videos, in the same way you turn around the pages of a book. For example if you click on the time given just after the slide number corresponding to one of the videos, you will get, up to one second, to exact position in the video. an introduction to the video-book ABjC is given at the beginning of the video of the Epilogue (from 2' 02" to 8' 42") This video-book on bijective combinatorics is

Microsoft suspended the email account of an ICC prosecutor at The Hague

“The I.C.C. showed this can happen,” said Bart Groothuis, a former head of cybersecurity for the Dutch Ministry of Defense who is now a member of the European Parliament. “It’s not just fantasy.” Mr. Groothuis once supported U.S. tech firms but has done a “180-degree flip-flop,” he said. “We have to take steps as Europe to do more for our sovereignty.” Some at the I.C.C. are now using Proton, a Swiss company that provides encrypted email services, three people with knowledge of the communicati

Scaling our observability platform by embracing wide events and replacing OTel

TLDR # Observability at scale: Our internal system grew from 19 PiB to 100 PB of uncompressed logs and from ~40 trillion to 500 trillion rows. Efficiency breakthrough: We absorbed a 20× surge in event volume using under 10% of the CPU previously needed. OTel pitfalls: The required parsing and marshalling of events in OpenTelemetry proved a bottleneck and didn’t scale - our custom pipeline addressed this. Introducing HyperDX: ClickHouse-native observability UI for seamless exploration, correlatio

This Case Forced Me to Completely Rethink How I Handle the Switch 2

2025 The Nintendo Switch 2 is currently the featherweight champion of gaming handhelds—though largely because nobody can enter its weight class. No other device of its size—whether it’s a handheld PC or another retro device—can slip so easily into a backpack without weighing you down, like you’re lugging a sack of bricks around through every train station and airport terminal. That slim design comes with its own heap of drawbacks. The Switch 2 is a thin device with narrow edges that tends to d

The First Prime Day Deal Has Landed: New HP Laptop (Touch, 64GB RAM, 2TB SSD, Win 11 Pro) Is 70% Off

HP laptops tend to cost over $1,000 (occasionally much more) so it’s not common to come across a offer that grabs the attention. But Amazon just launched a Prime Day preview and this offer is available to everyone – not just Prime members. The HP 2025 touchscreen laptop (i3, 2TB SSD, 64GB RAM, Windows 11 Pro, Office lifetime + 4-in-1 USB-A adapter) is an amazingly robust bit of kit that would usually send the price well beyond most individuals’ budget. Currently available for only $769, this la

Topics: 11 hp laptop office pro

Reddit Looks to Get in Bed With Altman’s Creepy ‘World ID’ Orbs for User Verification

Gaze into the Orb if you want your upvotes. According to a report from Semafor, Reddit is actively considering partnering with World ID, the verification system co-founded by OpenAI CEO Sam Altman, to perform user verification on its platform. Per the report, Reddit’s potential partnership with World ID would allow users to verify that they are human by staring into one of World ID’s eye-scanning orbs. Once confirmed to be a real person, users would be able to continue using Reddit without reve

Are Ford and GM Still American?

For decades, Ford and General Motors have been symbols of American industry, blue-collar pride, and heartland grit. From the rugged Ford F-150 to the all-American Chevy, the Detroit Big Three — Ford, GM, and Chrysler (now part of Stellantis) — have dominated the auto market with vehicles built and sold across the United States. The Ford F-150 is a cultural symbol. For many, Detroit remains the heartland of the U.S. auto industry, a perception reinforced by billions of dollars in recent investme

Feeling Off? These 7 Warning Signs Could Mean You're Iron Deficient

Feeling unusually tired, foggy or just off lately? It might not just be stress or poor sleep. Iron deficiency is one of the most common nutritional issues in the U.S. and many people don't even realize they have it. According to national health data, absolute and functional iron deficiencies affect more than one in 10 adults and the symptoms can sneak up on you. An absolute deficiency happens when your body doesn't have enough iron at all, while a functional deficiency means the iron is there b

12 of the Best Movies Peacock Has to Offer

Simply put, Peacock has the movies you want to watch. When we talk about the epic titles available to watch on streaming, the conversation tends toward powerhouse streamers like Netflix and Prime Video. As you can conclude from this article, the NBC Universal-owned platform absolutely should be included. It's jam-packed with epic films that would easily elevate any movie night. This should come as no surprise; Universal Pictures is responsible for the very first blockbuster -- Happy 50th Birthd

12 Probiotic-Rich Foods to Keep Your Gut Healthy

Many people talk about probiotics as supplements, but you can actually get these microorganisms through your diet by eating foods high in probiotics. Probiotics can provide benefits such as helping with chronic health issues like IBS and IBD, supporting digestion and maintaining a healthy balance in your gut microbiome by encouraging beneficial bacteria to grow. Fortunately, many probiotic foods are already in your fridge or pantry. You can also find them easily at your local grocery store, so

Etsy Is Clamping Down on 3D Printed Products. Here's How It Could Affect You

It feels like everyone needs a side hustle these days. If your hobby can help make you some extra income, it seems like a no-brainer to at least try and do it. 3D printing, laser engraving and using vinyl cutters like the famous Cricut machine all give you a chance to make something beautiful, unique and sellable. Etsy has been the storefront of choice for almost 20 years, and despite other options being available, it still boasts 8.13 million active sellers in 2025, according to a recent Contim

11 Great Horror Movies to Watch on Prime Video

Want to see what petrifying picks await on Prime Video? Horror lovers can watch classic films like The Texas Chain Saw Massacre and newer flicks like the twisty ballerina chiller Abigail. Ads are now a part of the streaming service, but if you'd prefer to watch your spooky content without commercial interruptions, you can pay an additional fee to remove them. Here are some highly rated horror films to satisfy your cravings. Dim the lights, grab the popcorn and enjoy your creepy feature. Eric Z

Ford Ranger Plug-In Hybrid Review: Prices, Availability, Specs

Fitness for purpose. Take a deftly aimed power tool to all the marketing flim-flam, and you can’t go far wrong with that mantra. There’s no messing around when it comes to a pick-up truck, a vehicle that has a clear job to do, and in most cases does it admirably. Except that even this segment isn’t immune to mission creep, and these hardy vehicles are now expected to double as workhorse and acceptable all-round family transport. The Ford F-150 may typify the breed, but outside of the US the Ran

The music industry is building the tech to hunt down AI songs

The music industry’s nightmare came true in 2023, and it sounded a lot like Drake. “Heart on My Sleeve,” a convincingly fake duet between Drake and The Weeknd, racked up millions of streams before anyone could explain who made it or where it came from. The track didn’t just go viral — it broke the illusion that anyone was in control. In the scramble to respond, a new category of infrastructure is quietly taking shape that’s built not to stop generative music outright, but to make it traceable.

I replaced my Pixel 9 Pro with a $750 Android for a week. Now I'm questioning my loyalty

ZDNET's key takeaways The Redmagic 10S Pro will be available now, starting at $699. The 10S Pro harnesses impressive power, making it an absolute delight for gamers and power users. Average users might find they have to do a bit of tweaking to get the 10S Pro to their liking. View now at Redmagic View now at Amazon more buying choices I've been using Pixel phones for a long, long time, and every so often I think, "Is it time to try something different?" But each time I stray, I inevitably com

Less UFO, more Wall-E: You've never seen the best robot vacuum on the market

ZDNET's key takeaways The Matic is available for purchase at $1,095. This robot vacuum has a unique form factor and roller brush, and a debris bag that eliminates the need for a huge dock. The Matic has its drawbacks, mainly that it's too tall to clean under furniture and that it's currently only available for iOS, with an Android beta app planned for July. View now at Maticrobots Pioneer devices have the unique challenge of reinventing the wheel. They reimagine something that has become prev

uBlock Origin Lite Beta for Safari iOS

Installing and testing beta apps Each build is available to test for up to 90 days, starting from the day the developer uploads their build. You can see how many days you have left for testing under the app name in TestFlight. TestFlight will notify you each time a new build is available and will include instructions on what you need to test. Alternatively, with TestFlight 3 or later, you can turn on automatic updates to have the latest beta builds install automatically. When the testing perio

Agentic Misalignment: How LLMs could be insider threats

Highlights We stress-tested 16 leading models from multiple developers in hypothetical corporate environments to identify potentially risky agentic behaviors before they cause real harm. In the scenarios, we allowed models to autonomously send emails and access sensitive information. They were assigned only harmless business goals by their deploying companies; we then tested whether they would act against these companies either when facing replacement with an updated version, or when their assi

ClickHouse scales beyond 100 petabytes of logs

TLDR # Observability at scale: Our internal system grew from 19 PiB to 100 PB of uncompressed logs and from ~40 trillion to 500 trillion rows. Efficiency breakthrough: We absorbed a 20× surge in event volume using under 10% of the CPU previously needed. OTel pitfalls: The required parsing and marshalling of events in OpenTelemetry proved a bottleneck and didn’t scale - our custom pipeline addressed this. Introducing HyperDX: ClickHouse-native observability UI for seamless exploration, correlatio

Microsoft begins cleanup of legacy drivers from Windows Update

Forward-looking: Microsoft has traditionally maintained strong backward compatibility with older hardware and software. However, the company is now working to phase out as many legacy drivers as possible in an effort to streamline the Windows Update process and reduce its overall complexity. According to a recent post addressing partners in the Windows Hardware Program, Microsoft is working to remove legacy drivers from the Windows Update system. The company says the goal is to reduce security

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

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

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

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

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

How to turn AI into your own research assistant with this free Google tool

Screenshot by Lance Whitney/ZDNET When I need to research a topic these days, I often turn to AI, at least as a starting point. But depending on my questions and which chatbot I use, the response may not always be satisfying -- it can be too brief or canned. In that case, I find myself wanting more. That's when I turn to Google's Learn About experiment. Also: 8 ways to write better ChatGPT prompts - and get the results you want faster As the name implies, Learn About is more than just a way t