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EXAMPLE Sequence reads 1 3 7 12 18 26 35 45..., differences are 2 4 5, 6, 8, 9, 10 ... and the point is that every number not in the sequence itself appears among the differences. This property (together with the fact that both the sequence and the sequence of first differences are increasing) defines the sequence!
For overdetermined reasons, I’ve lately found the world an increasingly terrifying and depressing place. It’s gotten harder and harder to concentrate on research, or even popular science writing. Every so often, though, something breaks through that wakes my inner child, reminds me of why I fell in love with research thirty years ago, and helps me forget about the triumphantly strutting factions working to destroy everything I value. Back in 2022, I reported an exciting advance in BusyBeaverolo
Amazon Prime Day 2025 is fast approaching, and the sale is already underway on some items. To help you find the best early Prime Day deals, we've scoured Amazon for deals on the tech we love. As always, every deal we recommend here is on a product our reviewers have personally tested and approved—you won't find any shoddy dupes or mystery brands here. This year Prime Day runs for four days, July 8-11, rather than the usual two. That means there's twice as long to suffer save. Twice as long to s
Xiaomi Smart Band 10 The Xiaomi Smart Band 10 doesn’t reinvent the wheel, but it makes meaningful upgrades where it counts, including added training tools and a slightly larger display. For budget-conscious buyers who want reliable tracking, a polished aesthetic, and up to 21 days of battery life, it's a no-brainer. I’ve long tipped my hat to Xiaomi’s Smart Band line (a.k.a. Mi Band in some regions), which nearly always punches above its weight. The latest device, the Xiaomi Smart Band 10, cont
Last fall, Microsoft announced that individuals who wanted to keep using Windows 10 past its official end-of-support date could do so by opting into the company's Extended Security Update (ESU) program at a cost of $30 per PC. That payment would get users a single year of additional security updates. Today, less than four months before that October 14, 2025, cutoff, Microsoft is announcing additional options for people who can't or don't want to pay that fee. Individuals who want to pay $30 for
Prime Day is still a couple weeks away. It’s an excellent time of the year to stock up on some new accessories, especially tech like computer mice, keyboards, and monitors. Though you don’t have to wait for mid July to start saving. Some retailers are trying to get ahead of Amazon are are showcasing some great opportunities to save on their products right now. For instance, Best Buy has this LG monitor for $98 off. It’s normally just shy of $200, so now, it’s just shy of $100—coming in at the li
The first step towards higher performance is employing blocking to optimize cache access patterns. By using a straightforward square partitioning of the input matrices (without resorting to specialized assembly kernels and instead relying on the native BQN idiom) speed-ups of approximately sixfold are achievable for matrices that exceed the machine's cache size: mat‿mbt ← ⟨⋈˜2⥊500, ⋈˜5⥊600⟩ /¨⊸⊔¨ ma‿mb ← •rand.Range⟜0¨1e3×⟨1‿1, 3‿3⟩ >⟨ma‿ma‿mat, mb‿mb‿mbt⟩ {𝕎˜•_timed𝕩}¨¨˜ <⟨Dgemm, +˝∘×⎉1‿∞, ∾(+
Xiaomi TL;DR Xiaomi has revealed all about the newly launched Xiaomi Smart Band 10. The device debuts with a 1.72-inch display, AI-powered fitness tracking, heart rate broadcasting, and deeper integration across Xiaomi’s ecosystem. Pricing for the Xiaomi Smart Band 10 starts at $49.90 in global markets. After weeks of leaks and speculation, Xiaomi has officially pulled back the curtain on the Smart Band 10, the latest addition to its wildly popular fitness tracker lineup. The new wearable fe
Xiaomi TL;DR Xiaomi has revealed all about the newly launched Xiaomi Smart Band 10. The device debuts with a 1.72-inch display, AI-powered fitness tracking, heart rate broadcasting, and deeper integration across Xiaomi’s ecosystem. Pricing for the Xiaomi Smart Band 10 starts at $49.90 in global markets. After weeks of leaks and speculation, Xiaomi has officially pulled back the curtain on the Smart Band 10, the latest addition to its wildly popular fitness tracker lineup. The new wearable fe
Hackers are exploiting a maximum-severity vulnerability that has the potential to give them complete control over thousands of servers, many of which handle mission-critical tasks inside data centers, the US Cybersecurity and Infrastructure Security Agency is warning. The vulnerability, carrying a severity rating of 10 out of a possible 10, resides in the AMI MegaRAC, a widely used firmware package that allows large fleets of servers to be remotely accessed and managed even when power is unavai
Hackers are exploiting a maximum-severity vulnerability that has the potential to give them complete control over thousands of servers, many of which handle mission-critical tasks inside data centers, the US Cybersecurity and Infrastructure Security Agency is warning. The vulnerability, carrying a severity rating of 10 out of a possible 10, resides in the AMI MegaRAC, a widely used firmware package that allows large fleets of servers to be remotely accessed and managed even when power is unavai
Rita El Khoury / Android Authority TL;DR The current Chrome version is the last version to support Android 8.0 and 9.0. Chrome 139, launching August 5, will require Android 10 or newer. Phones like the Galaxy S8 and Note 8 will miss out. Are you still rocking an ancient Android phone? Google has announced that Chrome 138 will be the final version of the browser to support Android 8.0 (Oreo) and 9.0 (Pie). Starting with Chrome 139, which is scheduled for release on August 5, users will need A
8.2 / 10 SCORE OnePlus Pad 3 $700 at OnePlus Pros Impressively zippy overall performance Good battery life Sharp, bright display with 144Hz refresh rate for smooth scrolling and gaming Cons Fairly premium price LCD instead of OLED display No microSD card slot for expandable storage Disappointing front camera Last year's OnePlus Pad 2 was considered one of the better tablet values, combining premium performance with a midrange price ($550) that would sometimes dip to $500. To a certain deg
Paul Jones / Android Authority It used to happen to me all the time. I’d go about my day, and when I most needed my phone, it would die on me! No more! Now I carry around a handy battery pack with me, and my phone can make it through a day or two without breaking a sweat. If you want this peace of mind, and would rather not spend much, the CUKTECH 10 Power Bank is among our favorites, and it is only $27.99 right now! Buy the CUKTECH 10 Power Bank for just $27.99 ($12 off) This offer is availab
Amazon Prime Day 2025 is fast approaching, and the sale is already underway on some items. To help you find the best early Prime Day deals, we've scoured Amazon for deals on the tech we love. As always, every deal we recommend here is on a product our reviewers have personally tested and approved—you won't find any shoddy dupes or mystery brands here. This year Prime Day runs for four days, July 8-11, rather than the usual two. That means there's twice as long to suffer save. Twice as long to s
Amazon Prime Day 2025 is fast approaching, and the sale is already underway on some items. To help you find the best early Prime Day deals, we've scoured Amazon for deals on the tech we love. As always, every deal we recommend here is on a product our reviewers have personally tested and approved—you won't find any shoddy dupes or mystery brands here. This year Prime Day runs for four days, July 8-11, rather than the usual two. That means there's twice as long to suffer save. Twice as long to s
Ryan Haines / Android Authority TL;DR The Pixel 10 will reportedly have a 6.3-inch FHD+ display that’s protected by Corning Gorilla Glass Victus 2. It could feature a 4,970mAh battery with a 29W wired charging speed. The camera setup may include 48MP main, 12MP ultrawide, and 10.8MP telephoto cameras. Google Pixel 10 leaks have been ramping up as of late. Android Authority published a report just earlier today that Google is considering an upgrade to 480Hz dimming for the Pixel 10 Pro and Pr
In brief: Microsoft plans to end support for Windows 10 this October despite its enduring popularity and the fact that hundreds of millions of usable PCs don't support Windows 11. The company recently introduced a new option for personal devices to receive another year of security updates, but it requires using OneDrive. After Windows 10 reaches end-of-life status on October 14, users who enroll in Windows Backup will continue receiving security updates through October 13, 2026, at no extra cos
CNET’s expert staff reviews and rates dozens of new products and services each month, building on more than a quarter century of expertise. 7.0 / 10 SCORE Malwarebytes Antivirus Buy at Malwarebytes Score Breakdown Performance 8 /10 Security 9 /10 Customer Support 4 /10 Usability 7 /10 Value 5 /10 Features 9 /10 Pros Free malware scanning and browser safety tools Decent VPN Impressive privacy policies Excellent dark web monitoring tools Cons Free version doesn’t provide real-time protection
C. Scott Brown / Android Authority TL;DR The Pixel 10 Pro and Pro XL displays could be better for people who are sensitive to PWM dimming. Google is considering an upgrade to 480Hz dimming for the Pixel 10 Pro and Pro XL. The regular model, as well as the Fold, may stick to 240Hz. The displays are also planned to be brighter by about 200 nits across the board. Since the launch of the Pixel 9 series, Google has been revising its Pixel strategy. Instead of the Pro Pixels being larger, slightly
Joe Maring / Android Authority TL;DR Google’s preparing some screen upgrades for the Pixel 10 family, including a more eye-friendly PWM mode. In addition to that, we’re also expecting brighter panels for the Pixel 10 line’s displays. All Pixel 10 phones should be at least 200 nits brighter than their Pixel 9 equivalents. If we’re to believe the rumors, Google’s less than two months away from announcing its Pixel 10 smartphone lineup. We’ve already pieced together a ton of details about what
ZDNET's key takeaways The 3i S10 Ultra robot vacuum and mop is available for $1,900. This device features a unique innovation: a trademarked WaterRecycle station that distills wastewater and dehumidifies your home so you never have to refill the clean water tank. The full device is one-of-a-kind, so its settings and setup take some getting used to, and it can sometimes take a long time to finish a task while the water distills. $1,899.99 at Amazon The 3i S10 Ultra robot vacuum and mop is on s
Joe Maring / Android Authority TL;DR The vanilla Pixel 10 may not have a vapor chamber. Wi-Fi 7 support may not be in the cards either. It could also miss out on the new “Ultra Res Zoom” feature and ultra-stable video recording. The base model Pixel 10 is shaping up to sound like a mixed bag of good news and bad news. While it should get a big upgrade in the form of a triple camera setup, it’s also expected to make a variety of compromises. For example, our report from April suggests Google
Microsoft has released the June 2025 non-security preview update for Windows 10, version 22H2, with fixes for bugs preventing the Start Menu from launching and breaking scanning features on USB multi-function printers. Today's optional cumulative update (KB5061087) is an optional non-security preview update that allows Windows administrators to test fixes and improvements released with the upcoming July 2025 Patch Tuesday cumulative updates. KB5061087 addresses an issue causing scanning to fai
As we edge closer to Windows 10's end-of-support on October 14, 2025, Microsoft is throwing its more stubborn users another bone. The company previously announced that, for the first time, consumers would be able to purchase one year of Windows 10 Extended Security Updates (ESUs) for $30. Today, Microsoft revealed that you'll also be able to use 1,000 reward points to snap up an ESU. That could be helpful if, like me, you've been slowly amassing Microsoft Rewards and completely forgot they exist
Microsoft says Windows 10 home users who want to delay switching to Windows 11 can enroll in the Extended Security Updates (ESU) program at no additional cost using Microsoft Rewards points or enabling Windows Backup to sync their data to the cloud. Windows 10 will reach the end of support on October 14, 2025. After this date, Microsoft will stop providing bug fixes and security updates to fix newly discovered vulnerabilities, with unpatched systems exposed to attacks and malware. Windows Insi
hxdbzxy / Getty Images With just a few months remaining until the Windows 10 end-of-support date, Microsoft seems to have belatedly realized that owners of tens of millions of consumer PCs running Windows 10 aren't ready to replace their old computers, and they're also not about to fork over $30 for a one-year Extended Security Updates (ESU) subscription. So today, the company waved the white flag and announced new "free enrollment options" for the ESU program, along with a description of the
Last fall, Microsoft announced that individuals who wanted to keep using Windows 10 past its official end-of-support date could do so by opting into the company's Extended Security Update (ESU) program at a cost of $30 per PC. That payment would get users a single year of additional security updates. Today, less than four months before that October 14, 2025, cutoff, Microsoft is announcing additional options for people who can't or don't want to pay that fee. Individuals who want to pay $30 for
is a senior editor and author of Notepad , who has been covering all things Microsoft, PC, and tech for over 20 years. Microsoft revealed last year that it will charge consumers $30 for a year of extra security updates to Windows 10. Now, it’s allowing consumers to enroll into its Extended Security Updates (ESU) free of charge ahead of the Windows 10 end of support on October 14th. But there’s a catch. Consumers will have three options to get ESU on their personal Windows 10 PCs, and the free
I am a huge fan of Richard Feyman’s famous quote: “What I cannot create, I do not understand” I think it’s brilliant, and it remains true across many fields (if you’re willing to be a little creative with the definition of ‘create’). It is to this principle that I believe I owe everything I’m truly good at. Some will tell you to avoid reinventing the wheel, but they’re wrong: you should build your own wheel, because it’ll teach you more about how they work than reading a thousand books on them