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Product of Additive Inverses

news.ycombinator.com Unknown 2026-01-30 09:50:38

Product of Additive Inverses By Susam Pal on 29 May 2025 A negative number multiplied by another negative number results in a positive number. Most of us learnt this rule during our primary or secondary school years. 'Negative times negative equals positive' was a phrase drummed into us during mathematics lessons. In this article, we will prove this rule, not just for numbers but for any algebraic structure that, in a general sense, behaves somewhat like numbers. Contents Illustration Let u

Topics: additive cdot multiplication ring times

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The Phantom of the Opera Has a Lot of Demands for His Immersive Masquerade

gizmodo.com Sabina Graves 2026-02-03 15:45:37

The mystery of Masquerade, The Phantom of the Opera immersive Broadway experience, begins to unfold as tickets for the initial run announcement have sold out. Don’t worry, Andrew Lloyd Webber “phans,” on July 9 there will be a new drop of tickets for an extension going into October of this year. Perfect for spooky season monster haunt lovers, dare we say? Hey, dark musical fans and immersive haunt goers have a very real overlap! With the release of the Opera Ghost’s first batch of show dates, t

Topics: experience immersive masquerade opera phantom

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Elon Musk lashes out at Tesla bull Dan Ives over board proposals: 'Shut up'

cnbc.com Lora Kolodny 2026-02-03 17:35:24

Elon Musk, chief executive officer of SpaceX and Tesla, attends the Viva Technology conference at the Porte de Versailles exhibition center in Paris, June 16, 2023. Tesla CEO Elon Musk told Wedbush Securities' Dan Ives to "Shut up" on Tuesday after the analyst offered three recommendations to the electric vehicle company's board in a post on X. Ives has been one of the most bullish Tesla observers on Wall Street. With a $500 price target on the stock, he has the highest projection of any analy

Topics: board ceo ives musk tesla

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New Research Bolsters Freaky Theory That Earth Sits in a Giant Cosmic Void

gizmodo.com Ellyn Lapointe 2026-02-04 10:45:55

Images of the cosmos, such as the James Webb Space Telescope’s deep space snapshot, make space look chock-full of stuff. In the grand scheme of things, it is, but all those stars, galaxies, planets, and other celestial objects may not be as uniformly distributed as photos make them look. The fact is, space is likely peppered with bubbles of relative emptiness, and some astronomers believe we’re sitting inside of one. A growing body of evidence suggests that our entire Milky Way galaxy is locate

Topics: banik hubble local universe void

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Seagate Compact 1TB Portable SSD Hits an All-Time Low, 260K+ Reviewers Might Envy This Prime Day Price

gizmodo.com Mike Fazioli 2026-02-04 15:25:27

Tiny portable thumb drives are a great way to move important files, but they usually have one or both of two unfortunate shortcomings — they’re either fragile, small in capacity, or both. Not surprisingly, a USB-C thumb drive that conquers both of those issues comes from Seagate — the remarkable Ultra Compact 1TB portable SSD, which is just $80 right now in Amazon Prime Day Deal list. The Seagate Ultra Compact packs a full terabyte of storage into a tiny 2.78-inch body, and it’s also IP54 dust

Topics: compact drive portable seagate ultra

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Cybersecurity’s Unsung Heroes: Elevating Neurodiverse Talent in the Digital Age

computer.org Laurel Tweed 2026-02-04 17:00:04

They aren’t your average hires. They don’t glide through job interviews or thrive in open-plan offices. But when it comes to pattern recognition, threat modeling, or zero-day hunting, neurodiverse individuals often outperform their peers. And yet, they remain largely untapped in the cybersecurity workforce. If we’re serious about fortifying digital defense systems, it’s time we stop overlooking the neurodiverse minds that already think in ways most cybersecurity frameworks are only beginning to

Topics: cybersecurity don just neurodiverse threat

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One of my favorite portable power stations for off-grid adventures is 30% off for Prime Day

zdnet.com Adrian Kingsley-Hughes 2026-02-04 20:21:12

EcoFlow River 2 Max. Adrian Kingsley-Hughes/ZDNET The EcoFlow River 2 Max portable power station 499Wh variant is on sale for $279 for Prime Day, a $120 discount. Also: Our favorite EcoFlow portable power stations up to 50% off for Prime Day I love power stations. They're the off-grid adventurer's answer to the power bank. They're a huge box of batteries that can charge USB devices and run gadgets that need AC power. But power stations can be big, weighty things. That's fine if you have a ve

Topics: ac ecoflow max power river

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Zorin OS

news.ycombinator.com Unknown 2026-02-04 20:37:56

Can I try Zorin OS before installing it on my computer? Absolutely! You can run Zorin OS from a USB drive to test-drive it without touching your computer's internal drive. When you're ready to install it, simply double-click on the "Install Zorin OS" icon on the desktop and follow the step-by-step instructions on the screen. How much does Zorin OS cost? You can download and use the Core edition of Zorin OS completely free. For more advanced features, additional apps, and support, you can purc

Topics: drive install os step zorin

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macOS Tahoe 26 beta 3 makes tabs less confusing

9to5mac.com Marcus Mendes 2026-02-05 10:58:50

One of the most common complaints in macOS Tahoe 26 betas 1 and 2 was the new tab UI in apps like Safari and Terminal, which added a black bar to the bottom of inactive tabs. In beta 3, Apple seems to have reversed course. Whether it was intentional or a bug on Apple’s part, many users had trouble quickly identifying the active tab. The low contrast between the selected tab and the rest of the UI, combined with that black underline on the non-active tabs, led to confusion, with some thinking th

Topics: active apple black new tab

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20TB WD External Hard Drive Costs Only $0.01 per GB—Amazon Crushes the Price for Prime Day

gizmodo.com Gizmodo Deals 2026-02-05 20:25:21

Prime Day is not only the best time to scoop up deals on the new MacBook or Dyson vacuum. It’s also a good opportunity to get your hands on some essentials like an external hard drive. WD, or Western Digital, is an iconic and trusted brand in the world of storage, and right now, their 20TB external hard drive is available at a price that’s hard to believe: just $269. That’s barely more than $0.01 per gigabyte, which makes it one of the most cost-effective storage solutions you’ll find anywhere.

Topics: day drive hard storage wd

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Seagate Portable 2TB External Hard Drive Pops Up in Prime Day Deal, Costs Peanuts Compared to Old Prices

gizmodo.com Brittany Vincent 2026-02-05 20:45:22

Digital clutter is one of those things that sneaks up on you. One minute, your computer has plenty of space. The next, you’re frantically struggling to figure out what you need to delete so you can save your latest file or photo. And it doesn’t have to be that way. Here’s the good news. You can just get an external hard drive to hold everything if you prefer, and it doesn’t have to cost you an arm and a leg to do that. It’s actually not that expensive either, especially with Prime Day going on.

Topics: drive hard just space storage

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KEF Xio Review: So Good, So Expensive

wired.com Verity Burns 2026-02-05 17:00:00

There’s a level of confidence you have to admire in a brand entering a new market and out-pricing almost every single one of its competitors, straight from the off. That certainly appears to be KEF’s strategy with its very first soundbar, the KEF Xio—an all-in-one Atmos soundbar that will set you back a cool $2,500 (£2,000.) Of course, there’s the obvious: that’s enough to buy yourself a pretty decent surround sound package, with a performance that any soundbar will struggle to match. But if yo

Topics: bar drivers inches kef soundbar

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macOS Tahoe: Reports of FireWire’s death not greatly exaggerated

9to5mac.com Zac Hall 2026-02-05 23:12:22

How dead is FireWire support in macOS Tahoe 26? As dead as the iPod, as far as the Mac is concerned, which is at least a little sad. Stephen Hackett checked. In classic 512 Pixels fashion, he’s conjured together a real world demonstration using a battle-tested FireWire 800 cable-connected drive, two Thunderbolt adapters including a Thunderbolt 2 to 3 dongle, and a Mac. Woof. The result? A drive that correctly appeared as several volumes on macOS Sequoia just looks like an adapter to nowhere on

Topics: drive firewire little mac macos

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LookingGlass: Generative Anamorphoses via Laplacian Pyramid Warping

news.ycombinator.com Unknown 2026-02-06 05:11:58

Anamorphosis refers to a category of images that are intentionally distorted, making them unrecognizable when viewed directly. Their true form only reveals itself when seen from a specific viewpoint, which can be through some catadioptric device like a mirror or a lens. While the construction of these mathematical devices can be traced back to as early as the 17th century, they are only interpretable when viewed from a specific vantage point and tend to lose meaning when seen normally. In this p

Topics: directly generative images models viewed

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Drive Capital’s second act — how the Columbus venture firm found success after a split

techcrunch.com Connie Loizos 2026-02-04 05:25:59

The venture capital world has always had a hot-and-cold relationship with the Midwest. Investors rush in during boom times, then retreat to the coasts when markets turn sour. For Columbus, Ohio-based Drive Capital, this cycle of attention and disinterest played out against the backdrop of its own internal upheaval several years ago — a co-founder split that could have ended the firm but may have ultimately strengthened it. At a minimum, Drive achieved something newsworthy in today’s venture lan

Topics: billion drive firm olsen valley

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Tyr, a new Rust DRM driver targeting CSF-based ARM Mali GPUs

news.ycombinator.com Introducing Tyr 2026-02-06 20:07:13

The last year has seen substantial progress on the DRM infrastructure required to write GPU drivers in Rust. While a great part of it was fueled by the development of Nova (the new driver for GSP-based NVIDIA GPUs), and by AGX (the driver for the GPUs on Apple's M-series chip that preceded Nova), a few components were being worked on to cater to a then undisclosed driver that was being prototyped behind the scenes. A driver that we now introduce to the community at large in a very early stage.

Topics: code driver gpu tyr upstream

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Bluesky users can customize their notifications, including activity alerts from their favorite accounts

techcrunch.com Lauren Forristal 2026-02-06 20:18:47

On Monday, Bluesky announced three updates to enhance notifications, allowing users to personalize their experience while decluttering their notification center and reducing unnecessary alerts. The updates include the ability to receive activity notifications for specific accounts, as well as options to adjust notification preferences to control which alerts you receive. For instance, users can choose to be notified only when certain accounts reply to them. Bluesky users can now navigate to Se

Topics: accounts follow notifications receive users

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My pick for the best cheap portable power station costs even less with this Prime Day deal

zdnet.com Adrian Kingsley-Hughes 2026-02-07 00:38:24

The EcoFlow River 2. Adrian Kingsley-Hughes/ZDNET Get the EcoFlow River 2 for $30 off ahead of Amazon Prime Day with the on-page coupon, bringing the price down to $209. The EcoFlow River 2 is our tested pick for the best cheap portable power station overall. Power banks have given way to power stations. And while I really like the colossal capacity offered by those behemoths, sometimes I want something I can grab quickly to take with me on a job or in an emergency. The EcoFlow River 2 fits

Topics: best max portable power river

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Zillow Lists the Fantastic Four’s Home for a Surprisingly Low Price

gizmodo.com Germain Lussier 2026-02-07 00:45:41

Few sites on the internet can be as fun, or frustrating, to cruise as Zillow. It’s the place to see how impossible it is to afford your dream home and also see how far a dollar can go in places you don’t live. However, it seems in whatever time and dimension the Fantastic Four live in, the dollar goes a long, long way, even in one of the priciest real estate markets of all, New York City. Marvel has teamed up with Zillow for a very fun piece of marketing where the Baxter Building, home to the F

Topics: 444 fantastic fun just live

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Windows 11, Microsoft 365: This 14″ HP Laptop Now Costs Only $178 for Prime Day

gizmodo.com Gizmodo Deals 2026-02-07 10:50:08

Prime Day is an excellent time to head out and buy a new laptop with prices being their cheapest of the year on Amazon. Even Black Friday and Cyber Monday can’t compete, since Amazon goes all out to make its own sale a success by lowering prices across the company. This is especially true of this HP 14″ laptop which has dropped to an all-time low and is now in the Top 5 best-selling Prime Day laptops. Right now, you can get this HP 14-inch laptop for just $178, 23% cheaper than its regular pric

Topics: 14 amazon gives hp laptop

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Mars Needs Unions in This Far-Future (Yet Timely) Sci-Fi Short Story

gizmodo.com Lightspeed Magazine 2026-02-07 20:30:06

io9 is proud to present fiction from Lightspeed Magazine. Once a month, we feature a story from Lightspeed’s current issue. This month’s selection is “The Lord of Mars” by Megan McCarron. Enjoy! The Lord of Mars by Megan McCarron The grow pods clung to a red, humped ridge about a twenty-minute hike west from the habitats. Inside one of their plastic domes, a farmer named Oliver Judd nestled potato starts in the ground with nimble hands. It was tricky work in a forty-pound outside suit, but he

Topics: anthony like oliver queen said

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Apple appeals 500 million euro EU fine over App Store policies

cnbc.com Chris Eudaily 2026-02-08 00:39:37

Two young men stand inside a shopping mall in front of a large illuminated Apple logo seen through a window in Chongqing, China, on June 4, 2025. Apple on Monday appealed what it called an "unprecedented" 500 million euro ($586 million) fine issued by the European Union for violating the bloc's Digital Markets Act. "As our appeal will show, the EC [European Commission] is mandating how we run our store and forcing business terms which are confusing for developers and bad for users," the compan

Topics: alternative app apple developers store

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This Samsung T9 2TB SSD Is 43% Off, Amazon Crushes the Price Just for Prime Day

gizmodo.com Gizmodo Deals 2026-02-08 05:10:13

Amazon has secretly started Prime Day early this year, and an avalanche of deals already appear on the site. They’re listed as “Limited Prime Deal,” and as always, they’re exclusive to Prime members. Even if you’re not a member, though, you can still shop these deals as a part of the free 30-day trial. One of the most exciting deals available today is on the Samsung T9 Portable SSD 2TB, which hit its all-time-low price of $169, down from $299. The 4TB model is also getting a huge discount at 42

Topics: drive prime samsung ssd t9

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Show HN: Piano Trainer – Learn piano scales, chords and more using MIDI

news.ycombinator.com Unknown 2026-02-05 18:58:53

Piano Trainer Learn to play the piano at your own pace through various modes of practice. Watch the video Features MIDI compatible Home row keyboard input MIDI compatible Cross-platform support Cross-platform support Interactive scale practice Interactive scale practice Interactive chord practice Interactive chord practice Interactive fifths practice Interactive fifths practice Interactive quiz Interactive quiz Hard mode Hard mode Shuffle mode Coming Soon More scales More scales Set

Topics: interactive mode piano practice tauri

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I extracted the safety filters from Apple Intelligence models

news.ycombinator.com Unknown 2026-02-08 09:50:02

Decrypted Generative Model safety files for Apple Intelligence containing filters Structure decrypted_overrides/ : Contains decrypted overrides for various models. com.apple.*/ : Directory named using the Asset Specifier assosciated with the safety info Info.plist : Contains metadata for the override AssetData/ : Contains the decrypted JSON files : Contains decrypted overrides for various models. get_key_lldb.py : Script to get the encryption key (see usage info below) : Script to get the en

Topics: generativeexperiencessafetyinferenceprovider key lldb model overrides

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Your TV's USB port has hidden superpowers: 5 features you're not using enough

zdnet.com Chris Bayer 2026-02-08 10:04:00

Kerry Wan/ZDNET After the initial setup, most people rarely engage directly with their smart TV. With wireless connectivity, phone apps, and remote controls, there's little need to. Tucked next to the essential HDMI ports, a USB 2.0 port -- likely sitting unnoticed on the back or side panel -- offers more potential than you might expect. Also: Don't cancel Netflix yet: I used these secret codes to unlock the full catalog of shows USB ports are easy to overlook, but they're a standard feature

Topics: drive port ports tv usb

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Edible Microlasers Could Revolutionize Food Tracking and Safety

gizmodo.com Gayoung Lee 2026-02-08 05:00:40

In a delicious turn of events, scientists succeeded in taking the optics of olive oil to create the first-ever microlaser made entirely from edible materials. If commercialized, they could offer an easy and safe way to monitor food or medications from inside your body. The technology, introduced earlier this month in the journal Advanced Optical Materials, exploits an interesting tendency for droplets of common cooking oils, which emit a photon of light when subjected to a certain amount of ene

Topics: droplets laser materials oil olive

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Apple Didn’t Approve, but Amazon Is Clearing Out AirPods Pro 2 at a Record Low for Prime Day

gizmodo.com Gizmodo Deals 2026-02-08 10:52:07

AirPods Pro 2 are in stores just a year but already they set the benchmark by which other wireless earbuds with active noise cancellation are judged. On the subject of sound quality, nothing else comes close to holding a candle right now. Normally these earbuds cost $249, but Amazon is offering them over 30% off early Prime Day, reducing the price to as low as $169. This deal is for everyone (and not just Prime members) and it is a rarity for an Apple device. Remember, Apple never really offers

Topics: active apple cancellation earbuds noise

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Figuring out why a nap might help people see things in new ways

arstechnica.com Unknown 2026-02-08 05:06:38

Dmitri Mendeleev famously saw the complete arrangement of the periodic table after falling asleep on his desk. He claimed in his dream he saw a table where all the elements fell into place, and he wrote it all down when he woke up. By having a eureka moment right after a nap, he joined a club full of rather talented people: Mary Shelley, Thomas Edison, and Salvador Dali. To figure out if there’s a grain of truth to all these anecdotes, a team of German scientists at the Hamburg University, led

Topics: cognitive cup edison eureka scientists

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July 5, 1687: When Newton explained why you don't float away

news.ycombinator.com Robb Corrigan 2026-02-08 03:11:53

The Day the Universe Got Organised (Mostly) People were worried, mostly about everything, but particularly about why things stayed on the ground. Apples fell. Horses galloped. Cannonballs soared (briefly) and came crashing down. But no one was quite sure why the moon didn’t join in and plummet to Earth in the same enthusiastic fashion. And then on July 5, 1687, Isaac Newton published a book with a title so long it felt like a Latin riddle: Philosophiæ Naturalis Principia Mathematica. In three

Topics: 337 fall like newton universe

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Latest Tech News

Product of Additive Inverses

The Phantom of the Opera Has a Lot of Demands for His Immersive Masquerade

Elon Musk lashes out at Tesla bull Dan Ives over board proposals: 'Shut up'

New Research Bolsters Freaky Theory That Earth Sits in a Giant Cosmic Void

Seagate Compact 1TB Portable SSD Hits an All-Time Low, 260K+ Reviewers Might Envy This Prime Day Price

Cybersecurity’s Unsung Heroes: Elevating Neurodiverse Talent in the Digital Age

One of my favorite portable power stations for off-grid adventures is 30% off for Prime Day

Zorin OS

macOS Tahoe 26 beta 3 makes tabs less confusing

20TB WD External Hard Drive Costs Only $0.01 per GB—Amazon Crushes the Price for Prime Day

Seagate Portable 2TB External Hard Drive Pops Up in Prime Day Deal, Costs Peanuts Compared to Old Prices

KEF Xio Review: So Good, So Expensive

macOS Tahoe: Reports of FireWire’s death not greatly exaggerated

LookingGlass: Generative Anamorphoses via Laplacian Pyramid Warping

Drive Capital’s second act — how the Columbus venture firm found success after a split

Tyr, a new Rust DRM driver targeting CSF-based ARM Mali GPUs

Bluesky users can customize their notifications, including activity alerts from their favorite accounts

My pick for the best cheap portable power station costs even less with this Prime Day deal

Zillow Lists the Fantastic Four’s Home for a Surprisingly Low Price

Windows 11, Microsoft 365: This 14″ HP Laptop Now Costs Only $178 for Prime Day

Mars Needs Unions in This Far-Future (Yet Timely) Sci-Fi Short Story

Apple appeals 500 million euro EU fine over App Store policies

This Samsung T9 2TB SSD Is 43% Off, Amazon Crushes the Price Just for Prime Day

Show HN: Piano Trainer – Learn piano scales, chords and more using MIDI

I extracted the safety filters from Apple Intelligence models

Your TV's USB port has hidden superpowers: 5 features you're not using enough

Edible Microlasers Could Revolutionize Food Tracking and Safety

Apple Didn’t Approve, but Amazon Is Clearing Out AirPods Pro 2 at a Record Low for Prime Day

Figuring out why a nap might help people see things in new ways

July 5, 1687: When Newton explained why you don't float away

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