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Student Solves a Long-Standing Problem About the Limits of Addition

The original version of this story appeared in Quanta Magazine. The simplest ideas in mathematics can also be the most perplexing. Take addition. It’s a straightforward operation: One of the first mathematical truths we learn is that 1 plus 1 equals 2. But mathematicians still have many unanswered questions about the kinds of patterns that addition can give rise to. “This is one of the most basic things you can do,” said Benjamin Bedert, a graduate student at the University of Oxford. “Somehow

10 Best Dash Kitchen Appliances (2025), Tested and Reviewed

Dash is the mini-me of the kitchen world, best known for its impossibly low-cost Mini Waffle Maker ($13) and wee egg cookers. The best Dash kitchen appliances are ingenious about packing surprising functionality into a tiny package—saving both counter space and cash in your bank account. This has, of course, made Dash a viral fixture on TikTok, with scads of recipes for mini-waffles and keto-friendly chaffles. Former WIRED reviewer Brenda Stolyar found Dash to be a godsend for tiny New York apa

13 Best MagSafe Power Banks for iPhones (2025), Tested and Reviewed

Other MagSafe Power Banks to Consider Photograph: Simon Hill We like a few other MagSafe power banks that didn’t make it into our top picks. Sharge Icemag for $34: I am usually a sucker for Sharge’s translucent cyberpunk aesthetic, and the Icemag has RGB lighting and a tiny fan inside! It charges iPhones at 7.5 watts and offers 20-watt wired charging with an ample 10,000-mAh capacity. But it is relatively bulky, and the fan emits a high-pitched whine. You will only hear it if you are somewher

Plantaform Smart Indoor Garden Review: Rewarding but Risky

It was about a week into my journey as a hydroponic lettuce farmer when I noticed my Mila air purifier, set to auto mode, was running at full blast. Its internal air quality sensor told me the air was dirty. Not sure if the sensor was overly sensitive, I swapped it out for the more powerful and far quieter IQ Air Atem X (9/10 WIRED Recommends) and set it on auto mode. Next time I went into my son’s room, the Atem was running at its highest speed. I checked the room’s IQAir Visual Pro Indoor Air

23 Best Power Banks (2025), Tested and Reviewed

Other Portable Chargers We Tested Photograph: Simon Hill There are so many portable chargers out there. Here are a few more we like that just missed out on a place above for one reason or another. OnePlus Slim Magnetic Power Bank for $70: Sleek in silver grey aluminum with a chamfered edge, this power bank looks lovely and is very slim, measuring 3.77 x 2.71 x 0.34 inches, not to mention lightweight at just 120 grams. But the 5,000-mAh capacity is just over half that after inefficiency takes

Topics: 000 bank mah power usb

Apple’s racing movie is finally here

is editor-at-large and Vergecast co-host with over a decade of experience covering consumer tech. Previously, at Protocol, The Wall Street Journal, and Wired. Hi, friends! Welcome to Installer No. 88, your guide to the best and Verge-iest stuff in the world. (If you’re new here, welcome, happy heat dome, and also you can read all the old editions at the Installer homepage.) This is the last Installer for me this summer! It’s baby time. Starting next week, you’ll be in the very good hands of Ja

‘We are the media now’: why Tesla’s robotaxis were dominated by Elon Musk superfans

Over the years, Tesla has built part of its reputation on hosting big, bold events to generate authentic hype for upcoming releases. The robotaxi launch in Austin, Texas, last week wasn’t one of them. Coverage of the rollout was dominated by a close-knit cohort of Tesla influencers and Elon Musk superfans, many of whom are openly supportive of the CEO’s vision. Journalists and tech bloggers who might have been more critical of the technology were not only excluded but also actively ridiculed an

Pipistrello and the Cursed Yoyo would feel right at home on your GBA

When I was a kid, there was a moment when it felt like everyone was obsessed with yo-yos. I never got better than just being able to make the yo-yo go up and down. But with Pipistrello and the Cursed Yoyo, I could pretend like I was halfway decent — all while playing a silly game that feels like a spiritual successor to the Game Boy Advance titles I loved growing up. Pipistrello is a top-down adventure game, in which you use your yo-yo to attack enemies and traverse the world. You play as Pippi

Hollywood’s pivot to AI video has a prompting problem

is a reporter focusing on film, TV, and pop culture. Before The Verge, he wrote about comic books, labor, race, and more at io9 and Gizmodo for almost five years. It has become almost impossible to browse the internet without having an AI-generated video thrust upon you. Open basically any social media platform, and it won’t be long until an uncanny-looking clip of a fake natural disaster or animals doing impossible things slides across your screen. Most of the videos look absolutely terrible.

Meta reportedly hires four more researchers from OpenAI

In Brief Looks like Meta isn’t done poaching talent from OpenAI. Earlier this week, TechCrunch reported that Meta had hired influential OpenAI researcher Trapit Bansal, and according to The Wall Street Journal, it also hired three other researchers from the company. Now The Information is reporting four more Meta hires from OpenAI: Researchers Shengjia Zhao, Jiahui Yu, Shuchao Bi, and Hongyu Ren. This hiring spree comes after the April launch of Meta’s Llama 4 AI models, which reportedly did

With ‘F1’, Apple finally has a theatrical hit

Looks like Apple has its first bona fide box office hit. The company has already produced critically-acclaimed and award-winning films for Apple TV+. In fact, while Netflix has reportedly spent millions on its Oscar campaigns, Apple’s “Coda” remains the only movie produced by a streaming service to win the Academy Award for Best Picture. It has, however, been a different story at the box office — at best, returns have fallen short of ambitious budgets, and with “Argylle,” the company had a spe

Topics: apple box f1 movie office

Trump says he’s found a buyer for TikTok

In Brief A group of “very wealthy people” is set to buy short-form video app TikTok, according to President Donald Trump. “We have a buyer for TikTok, by the way,” Trump said in a Fox News interview on Sunday morning. “I think I’ll need probably China’s approval. I think President Xi [Jinping] will probably do it.” Trump declined to share more details about the buyers, saying only that he would reveal their identities in two weeks (apparently his favorite unit of time). Trump has repeatedly

France is betting Eutelsat can become Europe's answer to Starlink — but experts aren't convinced

In this article ETL-FR Follow your favorite stocks CREATE FREE ACCOUNT France views Eutelsat as a strategic asset in the EU's push for technological sovereignty. Benoit Tessier | AFP via Getty Images For years, France's Eutelsat has been trying to build a European alternative to Elon Musk's Starlink satellite broadband service. The company merged with British satellite venture OneWeb in 2023, consolidating the region's satellite communications industry in an effort to catch up to Starlink, whi

Vapes Clouds Contain Absolutely Horrifying Chemicals, Scientists Find

Image by Getty / Futurism Developments If you vape — and especially if it's because you think it's a less harmful alternative to smoking — then we have some really bad news. New research from the University of California, Davis, shows that some popular disposable vapes contain levels of toxic metals so appalling that they exceed traditional cigarettes. And we don't just mean a single cig — we're talking packs of them. The work, published as a study in the journal ACS Central Science, sounds t

Happy hour with Gemini: How I built my perfect summer bartender

Rita El Khoury / Android Authority If you open the liquor cabinets (plural) in my home, you’ll find an eclectic collection of spirits ranging from the mundane to the random and unique bottles my husband and I have bought in some small or unknown town during our travels. My husband likes to joke that I gifted him a basic bartending course and now I’m benefiting from it, but in my mind, it was a sound financial investment for both of us. The problem, though, is that there isn’t a course varied e

I can’t believe how far Switch emulation has come in the year since Nintendo killed it

Nick Fernandez / Android Authority It’s been a few weeks since the Nintendo Switch 2 hit shelves, but if we’re being perfectly honest, there’s not much reason to buy one yet. I’ve been revisiting my OG Switch to stave off the FOMO, but I was sad to learn that my left Joy-Con now drifts so badly that Link runs in circles like he’s drunk in Breath of the Wild. Instead of shelling out $40 for another Joy-Con with a ticking drift timer, I reached for something I hadn’t touched in a while: Switch e

Rumor Replay: iPhone 17, 18, and Fold latest updates

This is Rumor Replay, a weekly column at 9to5Mac offering a quick rundown of the most recent Apple product rumors, with analysis and commentary. Today: an iPhone-centric roundup of iPhone 17, 18, and Fold rumors, plus the latest M5 iPad Pro update. Here are this week’s Apple rumors. This week brought a trio of updates regarding the soon-to-be-revealed iPhone 17 lineup: iPhone 17 : Majin Bu said Apple is testing purple and green as new color options for the base iPhone 17. : Majin Bu said Appl

Topics: 17 display iphone new pro

Your Slack app is getting a big upgrade - here's how to try the new AI features

Elyse Betters Picaro / ZDNET Slack users will see new features appear on the app and service, no matter which plan you use. Some of the more exciting features will be added to paid plans only, but it doesn't matter which paid plan you choose, because there are some exciting new additions coming. Also: 6 Slack tips I swear by to turn a chaotic workspace into a well-oiled machine Let's start with what's coming to the free plan first. What's new to the free plan? The big addition to the free p

These XR glasses gave me a 200-inch OLED screen to work with - and they're priced well

ZDNET's key takeaways The RayNeo Air 3S is available for $269 These XR glasses provide advanced micro-OLED screens, dual speaker chamber design, and a 201-inch screen visual experience There are no light-blocking shades or electrochromic dimming capability, and productivity support is limited to native MacOS and Windows support. View now at Best Buy View now at Amazon more buying choices Just about every person to whom I demonstrate XR glasses ends up buying a pair for airline travel, commuti

5 Kindle accessories every user should have (and why they make such a big difference)

'ZDNET Recommends': What exactly does it mean? ZDNET's recommendations are based on many hours of testing, research, and comparison shopping. We gather data from the best available sources, including vendor and retailer listings as well as other relevant and independent reviews sites. And we pore over customer reviews to find out what matters to real people who already own and use the products and services we’re assessing. When you click through from our site to a retailer and buy a product or

My favorite XR glasses for traveling got a peformance boost - and a big discount

ZDNET's key takeaways The Viture Pro XR glasses are available for a retail price of $499 in black. The display is larger, brighter, and smoother with the same form factor, fit, and excellent construction. An additional accessory is needed for devices without USB-C and multiple pieces are required for gaming. View now at Amazon Right now, you can save $60 on the Viture Pro XR glasses on Amazon, bringing the price down to $399. After buying the Viture One XR glasses early last year, they have

The top 10 laptops our readers are buying this year (no. 1 surprised us)

'ZDNET Recommends': What exactly does it mean? ZDNET's recommendations are based on many hours of testing, research, and comparison shopping. We gather data from the best available sources, including vendor and retailer listings as well as other relevant and independent reviews sites. And we pore over customer reviews to find out what matters to real people who already own and use the products and services we’re assessing. When you click through from our site to a retailer and buy a product or

These premium outdoor speakers made me reconsider switching to Bluetooth audio - here's why

ZDNET's key takeaways The Polk Audio Atrium 5 speakers are available for $325 a pair, offering a sleek and weatherproof design. These speakers have a crisp, detailed, and surprisingly deep sound profile. You'll need an amplifier for these speakers, making them less convenient than using a Bluetooth speaker. $325 at B&H Photo-Video While plenty of folks use portable Bluetooth speakers for their outdoor listening needs, they're not the most practical choice if you're setting up an outdoor envir

Google just gave its Photos app the feature upgrade it deserves - here's what's new

Google / Elyse Betters Picaro / ZDNET After hitting pause three weeks ago, Google is resuming rollout of its AI-powered Ask Photos feature. This time around, the company says, things should be better. Last fall, Google slowly began rolling out a new feature that lets you ask queries to find particular pictures in your Photos app. You might ask something like, "Where was that restaurant we ate at in San Francisco?" or "Show me all the selfies I took in NYC museums," and Gemini will find what yo

This stuff is way better than super glue (and it's less messy)

Adrian Kingsley-Hughes / Elyse Betters Picaro / ZDNET Whether due to being dropped, misused, or aged, broken plastics are a fact of life these days. My weapon of choice in the war against waste and sending things to the landfill has been cyanoacrylate adhesive -- this stuff goes by many names, such as Krazy Glue, instant glue, power glue, or superglue -- and on the whole, it's very good stuff. But it's far from perfect. Also: The $8 accessory you're not using enough for screen repairs and fi

G7 agrees to exempt U.S. multinationals from global minimum tax

The Group of Seven nations said on Saturday (June 28, 2025) they have agreed to exempt U.S. multinational companies from a global minimum tax imposed by other countries — a win for President Donald Trump's government, which pushed hard for the compromise. The deal will see U.S. companies benefit from a "side-by-side" solution under which they will only be taxed at home, on both domestic and foreign profits, the G7 said in a statement released by Canada, which holds the group's rotating presiden

Shenzhou-20 astronauts complete second spacewalk to enhance Tiangong station

HELSINKI — Two Chinese astronauts conducted an extravehicular activity outside the Tiangong space station Thursday, marking their second spacewalk in five weeks. Astronaut Chen Zhongrui opened the Wentian module hatch at 3:04 a.m. Eastern (0704 UTC) June 26, beginning activities, ascending to the tip of Tiangong’s robotic arm. Mission commander Chen Dong, wearing a Feitian EVA suit with blue stripes, joined his colleague two hours later. Wang Jie, formerly an engineer with the China Aerospace S

We ran a Unix-like OS on our home-built CPU with a home-built C compiler (2020)

How we ran a Unix-like OS (Xv6) on our home-built CPU with our home-built C compiler [Thanks for many comments and votes on Hacker News! ] It’s been two years since I started working as a software engineer. I sometimes tell my colleagues about a student project I did in my junior year of university, and it’s so well-received that I’m writing this post. Now, let me ask you a question. Have you ever designed your own ISA, built a processor of that ISA on FPGA, and built a compiler for it? Furth

The Perils of 'Design Thinking'

On the first day of a required class for freshman design majors at Carnegie Mellon, my professor stood in front of a lecture hall of earnest, nervous undergraduates and asked, “Who here thinks that design can change the world?” Several hands shot up, including mine. After a few seconds of silence, he advanced to the next slide of his presentation: a poster by the designer Frank Chimero that read, Design won’t save the world. Go volunteer at a soup kitchen, you pretentious fuck. My professor was