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Fast Fourier Transforms Part 1: Cooley-Tukey

news.ycombinator.com Connor Boyle 2025-09-18 14:28:40

11 September 2025 Fast Fourier Transforms Part 1: Cooley-Tukey by Connor Boyle tags: mathematicssoftware I’m planning to write a series of posts about fast Fourier transform algorithms. This first post covers the Cooley-Tukey algorithm, which is the original and most well-known FFT algorithm. The Discrete Fourier Transform If $x$ is a sequence of complex numbers with a length $\lvert x \rvert$ and a starting index of 0, then the discrete Fourier transform of $x$, \(\mathcal{F} \{ x \

Topics: fourier j_0 j_1 lvert rvert

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The Best Over-the-Counter Eye Drops of 2025, Chosen by Eye Doctors

cnet.com See Full Bio 2025-09-18 13:49:00

Why we like it: The iVizia eye drops are a favorite among ophthalmologists. These artificial tear eye drops come in a small bottle and are intended for dry eyes, but they're multipurpose and can work for just about any eye issue. Dr. Thomas Stokkermans, an optometrist and medical reviewer at All About Vision, said, "These drops have one of my preferred lubricants in it known as povidone and the high-technology dispenser has a filter in it to prevent contamination, and allows the artificial tear

Topics: artificial drops eye ivizia said

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A Collision With Another Planet Could Have Allowed for Life on Earth

wired.com Jorge Garay 2025-09-18 14:00:00

the Earth you walk on today might not be the same planet that was born 4.5 billion years ago. Many scientists believe that in its infancy, Earth collided with another world the size of Mars, and that instead of being destroyed, it was transformed, incorporating the mass of that foreign body to become the planet we know. Recent research adds another layer of relevance to that hypothesized cosmic event: Scientists believe that without that other body, the basic conditions for life to emerge on Ear

Topics: earth elements planet proto years

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Facebook owner unveils new AI-powered smart glasses

feeds.bbci.co.uk Unknown 2025-09-18 14:22:02

Facebook owner unveils new AI-powered smart glasses 4 hours ago Share Save Lily Jamali North America Technology Correspondent, Menlo Park, CA Share Save Reuters Meta boss Mark Zuckerberg unveiled the new smart glasses on Wednesday Meta has unveiled a new range of smart glasses powered by its artificial intelligence (AI) tech, as it expands its bet that they will be a must-have accessory for users around the world. At its annual developers conference "Meta Connect," the social media giant's bo

Topics: ai glasses meta smart zuckerberg

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Ambrosia Sky is an essay on death masquerading as a sci-fi cleaning sim

engadget.com Unknown 2025-09-18 08:45:22

Dalia is a death cleaner. Death cleaning, as we know it, is the process of sanitizing and tidying the spaces where people take their final breaths, sometimes long after their bodies have begun to decompose. It’s a job here on Earth in the year 2025, but Dalia’s version of death cleaning takes place on the rings of Saturn in a distant future filled with space travel, interplanetary colonization and devastating disease outbreaks. In this scenario, death cleaning involves spraying chemicals over b

Topics: advertisement ambrosia death sky tremblay

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I used the Meta Ray-Ban Display glasses, and they offer 2 breakthroughs to take us beyond smartphones

zdnet.com Jason Hiner 2025-09-18 12:01:00

Kerry Wan/ZDNET Follow ZDNET: Add us as a preferred source on Google. I got to wear the new Meta Ray-Ban Display glasses at Meta Connect 2025 on Wednesday. And while they are a long way from replacing your smartphone, they are good enough to make it clear that smart glasses are a lot better when they include a heads-up display. From what I experienced on Wednesday, we're definitely taking a step toward a world where we spend less time with our heads buried in our smartphones. Also: Meta Conn

Topics: display glasses meta ray smart

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Facebook owner unveils new range of AI-powered smart glasses

feeds.bbci.co.uk Unknown 2025-09-18 18:41:45

Facebook owner unveils new range of AI-powered smart glasses Meta boss Mark Zuckerberg unveiled the new smart glasses on Wednesday The event comes as the Facebook, Instagram and WhatsApp owner faces ongoing scrutiny over the impact of its products, particularly on children. The firm also introduced a so-called neural wristband that pairs with its Meta Ray-Ban Display glasses to allow users to carry out tasks like sending messages with small hand gestures. At its annual developers conference

Topics: ai glasses meta said smart

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Mark Zuckerberg unveils $799 Meta Ray-Ban Display glasses

cnbc.com Jonathan Vanian 2025-09-18 16:02:25

At the Meta Connect developer conference, Mark Zuckerberg, head of the Facebook group Meta, shows the prototype of computer glasses that can display digital objects in transparent lenses. Mark Zuckerberg on Wednesday unveiled the $799 Meta Ray-Ban Display glasses, the social media company's first consumer-ready smart glasses with a built-in display. The glasses, which costs $799, contain a small digital display that can be controlled via hand gestures through a wristband powered by neural tech

Topics: display glasses meta smart zuckerberg

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I tried Meta Ray-Ban Display glasses, and they offer 2 breakthroughs to take us beyond smartphones

zdnet.com Jason Hiner 2025-09-18 17:01:00

Kerry Wan/ZDNET Follow ZDNET: Add us as a preferred source on Google. I got to wear the new Meta Ray-Ban Display glasses at Meta Connect 2025 on Wednesday. And while they are a long way from replacing your smartphone, they are good enough to make it clear that smart glasses are a lot better when they have a heads-up display. From what I experienced on Wednesday, we're definitely taking a step toward a world where we spend less time with our heads buried in our smartphones. Also: Meta Connect

Topics: display glasses meta ray smart

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I tried the Meta Oakley Vanguard smart glasses, and I'm ready to ditch my Ray-Bans for them

zdnet.com Kerry Wan 2025-09-18 17:02:00

Jason Hiner/ZDNET Follow ZDNET: Add us as a preferred source on Google. ZDNET's key takeaways The Meta Oakley Vanguards start at $499 and come in four shades. They're based on the classic Sphaera design. The glasses pair with Garmin for real-time workout info. I'm not a professional snowboarder, nor will I ever bike down a mountain like I have nine lives, but putting on the new Meta Oakley Vanugard glasses this week sure gave me false hope. The Vanguards were introduced at Meta Connect th

Topics: glasses meta oakley ray smart

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Meta’s Ray-Ban Smart Glasses Now Have a Screen and a Magic Wristband

gizmodo.com James Pero 2025-09-18 15:27:06

Meta’s Ray-Bans are back with a new generation, and this time they’re finally giving people the one thing they really want—a screen. At Meta’s annual Connect developer conference, the company officially took the wraps off its Meta Ray-Ban Display, which are, as the name suggests, its first pair of AI-infused smart glasses to come with a full-color in-lens display. The smart glasses, which still bear the same Ray-Ban branding, will cost $799 and are available for preorder today. As you might exp

Topics: display glasses meta ray smart

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Meta Ray-Ban Display Hands-On: The Smart Glasses You Were Waiting For

gizmodo.com James Pero 2025-09-18 15:27:55

There’s one thing people want to know when they see my first-gen Ray-Ban smart glasses, and it’s got nothing to do with AI, or cameras, or the surprisingly great open-ear audio they put out. They want to know what’s probably front-of-mind right now as you’re reading this: Do they have a screen in them? The answer? Sadly, no… until now. At Meta Connect 2025, Meta finally unveiled its Ray-Ban Display smart glasses that, as you may have gathered from the name, have a screen in them. It doesn’t sou

Topics: display glasses like meta smart

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Meta’s New Wraparound Smart Glasses Are the Most Oakley Oakleys You Can Buy

gizmodo.com James Pero 2025-09-18 15:55:41

Ray-Ban wasn’t the only collaboration that got some shine at Meta Connect. The company also took the wraps (no pun intended) off a pair of wraparound shades designed by Oakley and, like its recently released HSTN smart glasses, designed more with sporty types in mind. Outside of the differing glasses shape, the $499 Meta Oakley Meta Vanguard (yes, that’s the official name in that order) specs also have a centered camera that’s meant to be better suited for capturing footage during “action” spor

Topics: glasses hstn meta smart vanguard

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Meta unveils its new Oakley Meta Vanguard smart glasses for athletes

techcrunch.com Aisha Malik 2025-09-18 15:15:06

At Meta Connect 2025 on Wednesday, the company unveiled its new Oakley Meta Vanguard smart glasses that are geared toward runners, cyclists, and other athletes. The glasses retail for $499 and are launching on October 21. Meta Connect is the social networking giant’s biggest conference of the year, where it unveils smart glasses and VR headsets. The glasses feature a large unified front lens, instead of having two cameras positioned at the top corners of the frames, which is in previous Meta s

Topics: glasses meta oakley smart vanguard

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Meta unveils new smart glasses with a display and wristband controller

techcrunch.com Maxwell Zeff 2025-09-18 15:25:39

Meta on Wednesday unveiled a new pair of Ray-Ban branded smart glasses with a built-in display for apps, alerts, and directions on the right lens. The smart glasses are controlled by a wristband that picks up on subtle hand gestures, called Meta Neural Band, the same one it unveiled at last year’s Connect as part of its Orion demo. CEO Mark Zuckerberg announced the new product, called Meta Ray-Ban Display, onstage at the company’s annual developer conference, Meta Connect 2025. Unlike Orion, Zu

Topics: display glasses meta smart users

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Eric Baker’s long, winding road to taking StubHub public

techcrunch.com Marina Temkin 2025-09-18 19:33:46

Ticket reseller StubHub went public on Wednesday. Although StubHub’s shares closed 6% below their IPO price of $23.50, valuing the company at over $7 billion, the public debut itself is a testament to the co-founder’s decades-long perseverance. StubHub CEO Eric Baker co-founded the company with Jeff Fluhr in 2000 while they were attending the Stanford Graduate School of Business. This was shortly after the dotcom bubble burst and NASDAQ crashed, but the pair didn’t give up. “Stupid competitors

Topics: baker company partners stubhub ticket

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Anthropic Report Finds Dire News About AI's Effects on Job Market

futurism.com Unknown 2025-09-19 10:04:05

As businesses across the economy rush to adopt AI, a new report from OpenAI's competitor Anthropic reveals what the tech is really being used for: instead of helping augment human labor, companies are mainly using AI to automate their jobs. In numbers, an overwhelming 77 percent of businesses using Anthropic's Claude AI software showed signs of automation, like "full task delegation," according to the report released by the company this week. Only 12 percent of AI usage appeared to leverage the

Topics: ai anthropic percent report tech

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Meta Connect 2025 live updates: Ray-Bans 2, Hypernova smart glasses, Oakley, more

zdnet.com Jason Howell 2025-09-19 11:47:00

Kerry Wan/ZDNET Follow ZDNET: Add us as a preferred source on Google. Meta Connect 2025 kicks off today, and the company is expected to showcase several new products and use the event to sharpen its XR strategy toward AI-driven hardware that can be worn and used today. Last year's Connect 2024 conference brought some notable improvements to its Meta Ray-Ban smart glasses, including multimodal video support, live translations, and natural language processing. Also: 5 Meta Ray-Ban upgrades tha

Topics: connect glasses meta ray smart

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Meet Macroscope: an AI tool for understanding your code base, fixing bugs

techcrunch.com Sarah Perez 2025-09-19 11:52:16

The founders who previously sold their livestreaming video startup Periscope to Twitter are back with a new startup — and no surprise, it’s an AI-focused company this time around. On Wednesday, former Twitter head of product Kayvon Beykpour announced the launch of Macroscope, an AI system aimed at developers and product leaders that summarizes updates to a codebase and catches bugs, among other things. The startup was co-founded by Beykpour, now Macroscope CEO, in July 2023, along with childho

Topics: code credits macroscope product startup

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Kleiner Perkins-backed voice AI startup Keplar aims to replace traditional market research

techcrunch.com Marina Temkin 2025-09-19 11:54:17

For decades, Fortune 500 companies had to hire market research firms to get meaningful insights into customer satisfaction. These services come with a hefty price tag and often take weeks to complete. Keplar, a market research startup, uses voice AI to conduct customer interviews, providing clients with analysis much faster and at a fraction of the cost of traditional research consulting firms. On Wednesday, the two-year-old company announced that it raised $3.2 million in seed funding led by K

Topics: ai keplar market startup voice

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Your YouTube and Netflix streams may look better and buffer less later this year

androidauthority.com Unknown 2025-09-19 15:30:45

Ryan Haines / Android Authority TL;DR Alliance for Open Media announced it will launch AV2 later this year, which should be a big upgrade for streaming video. The next-generation video codec is said to offer better compression, enhanced support for AR/VR applications, and will operate over a wider visual quality range. It’s expected that 88% of AOM members — which include brands like Samsung, Google, Microsoft, and Apple — will adopt AV2 within two years. The AV1 video codec is about to make

Topics: av1 av2 codec support video

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One of the best Ninja air fryers for small kitchens is $60 off right now

engadget.com Unknown 2025-09-19 19:05:06

If you’re in the market for an air fryer, first of all, welcome to the club. A world of perfectly- cooked fries awaits you. But which model to get? Well, you can save some cash right now if you pick Ninja’s Foodi DZ090C 5-in-1 air fryer, which is down to $120 from its regular price of $180 when purchased directly from the brand. That’s a sizable saving of $60. A smaller version of the air fryer we featured as the best dual-zone option in our 2025 air fryer buyers guide , the two-basket DZ090C l

Topics: advertisement air fryer ninja percent

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Google Discover is going to start showing social media posts and YouTube Shorts

engadget.com Unknown 2025-09-19 19:57:54

Google's Discover content feed is getting some new features . It'll soon include more than just articles from throughout the web. The company says the platform will be incorporating stuff like social media posts from platforms like Instagram and X along with YouTube Shorts. “In our research, people told us they enjoyed seeing a mix of content in Discover, including videos and social posts, in addition to articles,” the company wrote in an announcement. These changes will start showing up in the

Topics: articles content discover posts social

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VC giant Insight Partners warns thousands after ransomware breach

bleepingcomputer.com Unknown 2025-09-19 19:50:52

New York-based venture capital and private equity firm Insight Partners is notifying thousands of individuals whose personal information was stolen in a ransomware attack. The company disclosed the cybersecurity incident in February, when it said that a threat actor gained access to its network following a "sophisticated social engineering attack." Two months later, Insight Partners confirmed that the attackers had also stolen sensitive data during the breach, including banking and tax informa

Topics: company data information insight partners

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New study will track 40,000 Garmin smartwatch users to better understand pregnancy outcomes

zdnet.com Nina Raemont 2025-09-19 17:56:00

Matthew Miller/ZDNET Follow ZDNET: Add us as a preferred source on Google. ZDNET's key takeaways Garmin and King's College London are studying pregnancy. It could help understand exercise's role during pregnancy. It aims to reduce gestational diabetes and hypertension. Research institutions are increasingly using wearable gadgets to carry out their health studies. On Tuesday, Garmin announced a collaboration with King's College London for its Enhanced Maternal and Baby Results with AI-supp

Topics: garmin health pregnancy research smartwatches

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There's Something Psychologically Bizarre About AI Executives

futurism.com Unknown 2025-09-19 22:19:47

For many hopeful entrepreneurs, founding a successful company is a ticket to the top, the lofty promise of fame and fortune. Yet for a growing number of up-and-coming AI executives, a successful tech startup is the end in itself — not a step toward luxury, but a rejection of it. As the Wall Street Journal reports, the newest class of young founders flocking to the Bay Area are eschewing the frivolities enjoyed by their peers in favor of a proudly minimalist, monk-like existence. "Why would I

Topics: ai company founder startup tech

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Champions League Soccer: Livestream PSG vs. Atalanta Live From Anywhere

cnet.com See Full Bio 2025-09-19 23:00:00

Paris Saint-Germain begins the defence of its UEFA Champions League crown on Wednesday with a difficult Gameweek 1 home fixture at the Parc des Princes. Below, we'll outline the best live TV streaming services for watching Champions League games as they happen, wherever you are in the world, and how to use a VPN if it's not available where you are. Having pulled off a historic treble last season, headlined by a 5-0 thrashing of Inter Milan in June's UCL final, Luis Enrique's PSG has a lot to l

Topics: champions league live sports vpn

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Champions League Soccer: Livestream Bayern Munich vs. Chelsea Live From Anywhere

cnet.com See Full Bio 2025-09-19 23:00:06

Chelsea face an intriguing reunion with a former striker on Wednesday as the Blues travel to Germany to face Bayern Munich in this Gameweek 1 UEFA Champions League matchup. Below, we'll outline the best live TV streaming services for watching Champions League games as they happen, wherever you are in the world, and how to use a VPN if it's not available where you are. Wednesday's game provides an early opportunity for Nicolas Jackson to show his former employer what it's missing. The Senegal i

Topics: champions game league sports vpn

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Champions League Soccer: Livestream Liverpool vs. Atlético Madrid Live From Anywhere

cnet.com See Full Bio 2025-09-19 23:00:07

Liverpool will look to carry its strong form in the English Premier League into its opening European fixture of the season on Wednesday, as it faces a tough first test at home to Atlético Madrid. Below, we'll outline the best live TV streaming services for watching UEFA Champions League games as they happen, wherever you are in the world, and how to use a VPN if it's not available where you are. Arne Slot's Reds have made a perfect start domestically, winning all four of their EPL games. They

Topics: champions league live sports vpn

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Garmin's new smartwatch for kids costs more than the Apple Watch SE

engadget.com Unknown 2025-09-20 03:31:34

Garmin just announced a refresh of its Bounce smartwatch for kids and the big headline is the exorbitant price. It costs $300, which is twice the cost of the previous generation and $50 more than an Apple Watch SE. The Bounce 2 still offers tracking and communication features, both powered by an LTE connection. The exterior has been completely redesigned, with a rounded 1.2-inch AMOLED display. The original model was square-ish, resembling an Apple Watch. Communication is better here, which is

Topics: bounce communication cost smartwatch watch

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Latest Tech News

Fast Fourier Transforms Part 1: Cooley-Tukey

The Best Over-the-Counter Eye Drops of 2025, Chosen by Eye Doctors

A Collision With Another Planet Could Have Allowed for Life on Earth

Facebook owner unveils new AI-powered smart glasses

Ambrosia Sky is an essay on death masquerading as a sci-fi cleaning sim

I used the Meta Ray-Ban Display glasses, and they offer 2 breakthroughs to take us beyond smartphones

Facebook owner unveils new range of AI-powered smart glasses

Mark Zuckerberg unveils $799 Meta Ray-Ban Display glasses

I tried Meta Ray-Ban Display glasses, and they offer 2 breakthroughs to take us beyond smartphones

I tried the Meta Oakley Vanguard smart glasses, and I'm ready to ditch my Ray-Bans for them

Meta’s Ray-Ban Smart Glasses Now Have a Screen and a Magic Wristband

Meta Ray-Ban Display Hands-On: The Smart Glasses You Were Waiting For

Meta’s New Wraparound Smart Glasses Are the Most Oakley Oakleys You Can Buy

Meta unveils its new Oakley Meta Vanguard smart glasses for athletes

Meta unveils new smart glasses with a display and wristband controller

Eric Baker’s long, winding road to taking StubHub public

Anthropic Report Finds Dire News About AI's Effects on Job Market

Meta Connect 2025 live updates: Ray-Bans 2, Hypernova smart glasses, Oakley, more

Meet Macroscope: an AI tool for understanding your code base, fixing bugs

Kleiner Perkins-backed voice AI startup Keplar aims to replace traditional market research

Your YouTube and Netflix streams may look better and buffer less later this year

One of the best Ninja air fryers for small kitchens is $60 off right now

Google Discover is going to start showing social media posts and YouTube Shorts

VC giant Insight Partners warns thousands after ransomware breach

New study will track 40,000 Garmin smartwatch users to better understand pregnancy outcomes

There's Something Psychologically Bizarre About AI Executives

Champions League Soccer: Livestream PSG vs. Atalanta Live From Anywhere

Champions League Soccer: Livestream Bayern Munich vs. Chelsea Live From Anywhere

Champions League Soccer: Livestream Liverpool vs. Atlético Madrid Live From Anywhere

Garmin's new smartwatch for kids costs more than the Apple Watch SE

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