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Folks, we have the best π

In the past couple of months, I published a number of articles on recreational math. I did my best to keep them accessible and fun, but my goal was usually to shed light at deeper mathematical truths. For example, the discussion of 0.999… = 1 served as a springboard to highlight some of the subtler properties of real numbers and the different meanings of infinity. Today, I have no agenda. This article exists because I discovered a somewhat obscure paper that says something unexpected and cool.

This real-life Google hack on my Pixel is why I could never switch to an iPhone

Paul Jones / Android Authority With the iPhone 17 finally getting some long overdue upgrades like a larger and high-refresh rate display, I’ve found myself toying with the idea of switching ecosystems over the past couple of days. It also doesn’t help that Google stumbled out of the gate with the recent Pixel 10 launch. Thanks to the latter’s unexpectedly small performance and battery life gains, I see no compelling reason to upgrade from my Pixel 8. But after mulling the decision over, I came

Circle to Search Is One of My Favorite AI Tools. Shame It's Not on the iPhone Yet

Every time I use an iPhone, I lament that it doesn't have one of the most practical mobile AI tools: Google's Circle to Search. Until that feature comes to the iPhone -- and I really hope it does soon -- I don't think most people will realize just how useful it can be. Circle to Search is a way to quickly pull up information about anything on your Android phone's screen. Just long-press the home button and then circle, scribble or tap whatever you want to look up. If you're scrolling through In

'Scroll and Translate' Is Coming to Google's Circle to Search. Here's How It Works

Google's Circle to Search is getting a new feature that will allow you to continuously translate text while scrolling through social media posts or even when switching to different apps. Announced on Thursday, the feature will start its rollout this week to select Samsung Galaxy devices, but will more than likely expand to more devices, with the Pixel 10 lineup a natural next stop. While you could already translate text with Circle to Search, the new update will make the experience more seamle

Google’s Circle to Search can now translate as you scroll

Google is bringing improved translation to Circle to Search, its feature that allows users to quickly search for any information on their screen by using gestures like circling, highlighting, scribbling, or tapping. The company announced on Thursday that users can now see translations as they scroll. “Translation is one of the most-used features in Circle to Search — you can get more context for social posts from creators who speak a different language, or browse menus when you’re booking resta

Samsung Galaxy devices get first dibs on powerful new Circle to Search feature

Rita El Khoury / Android Authority TL;DR Google has officially confirmed that Circle to Search’s new Scroll and Translate feature is rolling out this week. The update starts with select Samsung Galaxy phones and lets you translate text continuously as you scroll or switch apps. We were first to spot this feature earlier in beta builds, and some users also reported seeing it pop up before today’s launch. Google is giving Circle to Search a handy upgrade. You’ll now be able to continuously tra

John Coltrane's Tone Circle

Reading Time: 16 minutes JOHN COLTRANE’S TONE CIRCLE January 22, 2016 My music is the spiritual expression of what I am: my faith, my knowledge, my being. – John Coltrane FOREWORD I do like to mention that I am no “authority” or “expert” when it comes to Coltrane’s work, or the music theory behind it and the compositions themselves. And as sax player, well, I’m still miles away from even standing in the giant shadow he cast … not to mention his giant footsteps. Anyway, as admirer of Coltra

Target Promo Codes and Deals: Up to 50% Off

Target has set itself apart from big box retailers like Walmart by having trendy clothes, homegoods branded by reality TV stars and, of course, in-store Starbucks. With malls and traditional department stores in decline, Target has even become the go-to destination for stay-at-home parents who need to get out of the house (and maybe get a Frappuccino). In recent years, the store has cemented themselves as a notch above similar retailers with exclusive products with a more high-end feel, while st

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Circle to Search could be adding new Translate options (APK teardown)

Rita El Khoury / Android Authority TL;DR Our teardown of the latest Google app beta reveals that Google is testing more changes to the Circle to Search UI. The Translate shortcut following a selection may move to a more prominent spot. A new “Change selection” button would appear in the same section after you’ve searched. Circle to Search has quickly become one of Google’s most recognizable features, offering a simple way to look up anything on your screen with a quick gesture. Since launchi

The 12 Best Eye Creams of 2025

According to dermatologist Dr. Sheila Farhang, board-certified dermatologist and founder of Avant Dermatology & Aesthetics, eye creams can provide real benefits if you choose the right product and ingredients. "In my opinion, you really should invest in the product you're putting on your eyes daily because [the eye area] is the thinnest skin on our body and is super sensitive to allergens/irritation and you want it to work and have science to back it up -- especially for the anti-aging/fine lin

Circle to Search’s translation feature is in for a massive upgrade (Updated: Hands on)

Rita El Khoury / Android Authority TL;DR Google is testing a live translation functionality in Circle to Search. Unlike the current translation function, the live functionality is likely to translate dynamic screens, such as moving webpages or videos. The Live Translate functionality can be used per app, for the entire screen, or a smaller, selected portion of it. Update, August 18, 2025 (09:46 AM ET): It appears that Circle to Search’s Live Translate feature is already rolling out to some G

Circle shares fall after stablecoin issuer says it will offer 10 million shares

Circle Internet Group Initial Public Offering at the New York Stock Exchange in New York City, U.S., June 5, 2025. Circle Internet Group stock tumbled more than 5% in extended trading Tuesday after it said it would offer 10 million Class A shares to the public. Of the total stock being offered, 2 million shares will be offered by Circle. The remaining 8 million shares will be sold by stockholders. The stablecoin issuer's shares have soared more than 450% since it went public on June 5. As pa

Visible users won’t have to wait much longer to jump on the new Inner Circle plan

Joe Maring / Android Authority TL;DR Visible will roll out its new Inner Circle feature on August 21. Plus and Plus Pro members can save $5 per month when part of a Circle with two or more members. Accounts can be connected without connecting payments. A few days ago, Visible rolled out a new feature called Inner Circle in early access. Inner Circle addresses one of the service’s biggest weaknesses, the inability to manage more than one line per account. At the time, only select members coul

Circle shares rise as second-quarter revenue jumps 53% on strong stablecoin growth

Circle Internet Group shares jumped Tuesday after reporting its first quarterly earnings as a publicly listed company. While charges related to the stablecoin issuer's debut contributed to a second-quarter loss, it reported a 53% increase in revenue, driven by strong growth in stablecoins. Revenue rose to $658.1 million from $430 million in the same period a year ago. Shares rose more than 7% in premarket trading. The stock has soared nearly 420% since it went public on June 5. "The validatio

Visible is finally rolling out a family plan feature, well sort of

Joe Maring / Android Authority TL;DR Visible is rolling out a new “Inner Circle” feature that links multiple accounts for easier payment and management. The feature is in Early Access and requires at least two accounts to join. You’ll also have to sign a special form and wait for approval. While major discounts aren’t included with these group plans, members can get $5 off Visible Plus or Plus Pro if not on another promo. For years, Visible has been one of my top recommendations for mobile s

Forgot that tune? Circle to Search now remembers your previous song searches

Rita El Khoury / Android Authority TL;DR Google is rolling out Song Search history to Circle to Search. Tapping on the new icon will open a page with your past searches, complete with song titles, thumbnails, and artist information. The feature is available on Android in the beta and stable channels. Finding out the name of a song or the artist behind it is as easy as bringing up Circle to Search and activating Song Search. But what if you want to listen to a song you previously searched for

Circle stock drops after House blocks key procedural vote on stablecoin legislation

Circle Internet Group Initial Public Offering at the New York Stock Exchange in New York City, U.S., June 5, 2025. Circle shares slid on Tuesday after the U.S. House of Representatives failed to clear a key procedural hurdle that would have teed up votes on long-awaited crypto-related bills. The move dealt a major setback to the digital asset industry, which had framed this week as a turning point for regulatory clarity in Washington, D.C. Circle, the stablecoin issuer that's soared in value

Google’s reconsidering its approach to Circle to Search within Gemini (APK teardown)

Rita El Khoury / Android Authority TL;DR Circle to Search has been a great tool for working with on-screen content, and Google’s been developing similar solutions across its ecosystem. Earlier this year we first uncovered evidence of a Circle to Search-like feature for Gemini. While still not user-accessible, Google’s been changing how this tool is labeled and what happens once you activate it. Google’s long had a bit of overlap when it comes to all the various services and apps it offers, s

Circle to Search has finally figured out landscape mode

C. Scott Brown / Android Authority TL;DR Circle to Search makes it incredibly easy to look up basically anything you see on your phone screen. So far, though, in landscape mode Circle to Search would often cover up the area you circled. Google has now started delivering results in a floating card that can be offset to the side in landscape view. What’s your favorite new Android feature of the past couple years? While we’re hugely impressed with what Google’s managed to do with Gemini, especi

Google is turning Circle to Search into the game guru you never knew you needed

Aamir Siddiqui / Android Authority TL;DR Google is introducing gaming help for Circle to Search. Players can now use the feature to get tips or learn more about a title when gaming on mobile. The feature is designed to help you find tips related to your exact spot in the game. Whether you’re an expert gamer or not, it’s easy for any player to find themselves stuck in a game. Thankfully, there’s no shortage of walkthroughs and strategy guides to turn to on the internet. While you previously h

Android’s Circle to Search feature gets AI and gaming upgrades

Google is adding new AI features to Android’s Circle to Search and Gemini Live tools. The update was announced today, alongside the launch of the next-generation Galaxy foldables, and it includes new Gemini Live capabilities for Samsung devices and integrates Google’s search-centric AI Mode chatbot right into Circle to Search. AI Mode made its debut in Google Search earlier this year, allowing users to find information and web links via a Gemini-style chatbot instead of the traditional search e

Charles Babbage and deciphering codes (1864)

Charles Babbage wrote an autobiography Passages from the Life of a Philosopher which was published in London in 1864 . In our biography of Babbage we have quoted several passages from the book which tell us about his life and the analytical engine. Here we quote from Chapter XVIII of the book where Babbage writes about deciphering. What we present here is only an extract. In fact we omit a more technical part which describes the considerable effort that he had put in constructing dictionaries wi

Stablecoin issuer Circle applies for a national bank charter

Traders work on the floor at the New York Stock Exchange (NYSE), on the day of Circle Internet Group's IPO, in New York City, U.S., June 5, 2025. Stablecoin issuer Circle Internet Group has applied for a national trust bank charter, moving forward on its mission to bring stablecoins into the traditional financial world after the firm's big market debut this month, CNBC confirmed. Shares rose 1% after hours. If the Office of the Comptroller of the Currency grants the bank charter, Circle will

Coinbase is the best-performing stock in the S&P 500 in June, and may have even more room to run

People watch as the logo for Coinbase, the biggest U.S. cryptocurrency exchange, is displayed on the Nasdaq MarketSite jumbotron at Times Square in New York on April 14, 2021. Coinbase is the top performer in the S&P 500 in June, boosted by positive regulatory updates, product launches and, of course, its very inclusion in the benchmark stock index at the end of May. The crypto exchange's outperformance in the S&P 500 extends back to the April 8 market low, just after President Donald Trump's

Coinbase is the best performing stock in the S&P 500 in June, and may have even more room to run

People watch as the logo for Coinbase, the biggest U.S. cryptocurrency exchange, is displayed on the Nasdaq MarketSite jumbotron at Times Square in New York on April 14, 2021. Coinbase is the top performer in the S&P 500 in June, boosted by positive regulatory updates, product launches and, of course, its very inclusion in the benchmark stock index at the end of May. The crypto exchange's outperformance in the S&P 500 extends back to the April 8 market low, just after President Donald Trump's

Circle resumes its post-IPO rally after pullback, stablecoin issuer boosts Coinbase

In this article BTC.CM= Follow your favorite stocks CREATE FREE ACCOUNT Jeremy Allaire, CEO and co-founder of Circle Internet Group, the issuer of one of the world's biggest stablecoins, and Circle Internet Group co-founder Sean Neville react as they ring the opening bell, on the day of the company's IPO, in New York City, U.S., June 5, 2025. Brendan McDermid | Reuters Stablecoin issuer Circle resumed its rally on Thursday after a brief pullback this week. Shares were last higher by 12%, after

Ancient X11 scaling technology

People keep telling me that X11 doesn’t support DPI scaling, or fractional scaling, or multiple monitors, or something. There’s nothing you can do to make it work. I find this surprising. Why doesn’t it work? I figure the best way to find out is try the impossible and see how far we get. I’m just going to draw a two inch circle on the screen. This screen, that screen, any screen, the circle should always be two inches. Perhaps not the most exciting task, but I figure it’s isomorphic to any othe

Fiserv debuts bank-friendly stablecoin as fintechs join digital dollar race

Fiserv is making a big entrance into the stablecoin market. The payments and fintech giant announced on Monday plans to roll out a new blockchain-based digital asset platform anchored by a U.S. dollar-pegged stablecoin called FIUSD — a product it hopes will bring thousands of banks and millions of merchants into the crypto economy by year's end. The new offering is designed to plug directly into Fiserv's sprawling global network, which already processes 90 billion transactions a year across 10

The $50 Billion Company That Does Almost Nothing

Something strange is happening on Wall Street. It isn’t Elon Musk, AI, or a late-night post from Donald Trump. It’s a crypto company called Circle Internet Group, and it’s making the market feel like the glory days of the dot-com bubble are back. Circle went public on June 5. In just eleven trading sessions, its stock exploded by an almost unprecedented 675%, adding over $42 billion to its market cap. The company now trades at a valuation that puts it in the same league as tech unicorns and AI

Bitcoin Who? Wall Street Has a New Crypto Obsession

For over a decade, Bitcoin has been the undisputed face of digital finance. When you think “crypto,” you think Bitcoin. Its surges and crashes have been treated as bellwethers for the entire industry. This year, it even set new records, solidifying its reign. But for the past month, the crypto world hasn’t been talking about Bitcoin. The spotlight has been stolen by a company that most people have never heard of. While Bitcoin’s price reached an all-time high this spring, its dominance is bein