Our gifting experts are obsessively searching for holiday gifts that are unique, thoughtful and suitable for any budget. Apple's Welcome Home event featured all the new smart home hardware coming to the Apple lineup. Maria Diaz is a staff writer with a passion for home automation, smart home devices, and tablets. Apple unveiled 7 smart home devices today at its "Welcome Home" event. We saw a new HomeView smart panel, HomePod mini, and a new Apple TV.

Apple's much anticipated smart home launch event is here, and it has quite an array of new hardware to show off. In addition to the new HomeView smart display and updated Apple TV and HomePod mini, the company also announced an ecosystem of accessories that it designed in collaboration with LG Electronics and Schneider Electric. These include home security cameras, video doorbells, thermostats and sensors, with an entire ecosystem that the company is calling the Apple Home Collection. To be clear, these aren't just existing products that LG and Schneider repurposed to meet a set of specs just to qualify for a program. They were designed in collaboration with Apple, and are meant to be reliable, private and easy to set up.

Generative AI has changed mathematics forever. In August, artificial intelligence company OpenAI announced ten advances in mathematics and computer science made with their as-yet unreleased model Astra. The discoveries cover a wide range of mathematical fields, including geometry, cryptography and coding theory. These ten are just the latest in a rapidly growing list of mathematical breakthroughs made by generative artificial intelligence (AI) systems. OpenAI accompanied the announcement with a statement on "responsibility to the mathematical community".

Mashable Selects Mashable's Best: E-readers, robovacs, laptops, earbuds, smart home and more In My Bag Look Up Creator Playbook Say More AI at School Safety Net Versus Trending Now Back to School Good Connection: Uplifting stories for a digital age All Series The Jackery Red Cross portable power stations are now available. These HomePower models are ideal when grid power fails. Lauren Allain is a freelance journalist covering deals at Mashable. She graduated from Western Washington University with a B.A. in journalism and holds an M.B.A from Webster Leiden. You can find more of her work online from publications including Reader's Digest, U.S. News & World Report, Seattle Refined, and more.

Mashable's Best: E-readers, robovacs, laptops, earbuds, smart home and more AI at School Mashable Selects Look Up Say More Safety Net Versus Creator Playbook In My Bag Trending Now Back to School Good Connection: Uplifting stories for a digital age All Series Blackpink's Lisa gives Meta's AI smart glasses a major high-fashion makeover -- where to buy K-pop icon and global fashion powerhouse Lisa partners with Meta on a high-fashion smart glasses drop that blends runway style with hands-free AI. Soumya is a deals writer who covers consumer tech, shopping deals, and the products people use every day. With experience writing about everything from AI tools and software to smartphones and home gadgets, she enjoys breaking down product research into clear, useful recommendations. When she's not tracking deals, she's usually comparing products, digging through reviews, and figuring out what actually makes a purchase worth it. All products featured here are independently selected by our editors and writers.

The satirical collaboration between a creative studio and the music producer behind Big Data, "Bezzy" is a cute little doll that spews the sounds of real data centers. Uh oh, we got a cute alert! Give this soft lil' doll a squeeze, and it shall sing you its telltale song: the piercing, grinding ambient squeals emitted from a real US data center. The Bezzy doll is a stuffed plushie made in a satirical collaboration between the New York-based creative studio Basura and Big Data, the musical project of producer Alan Wilkis, best known for the song "Dangerous," a 2013 collaboration with the band Joywave. The joint project, which is coming out the same day as a new Big Data single, is called Adopt a Data Center.

OpenAI's latest mathematical milestone has quickly become mired in controversy. Today, the company announced that its agents have solved one of the Millennium Prize Problems, some of the most important open problems in mathematics. Under normal circumstances, that solution would be a huge feather in OpenAI's cap. But the announcement has been overshadowed by accusations that OpenAI used NYU mathematician Tristan Buckmaster's and Anthropic employee Levent Alpöge's AI-assisted work on the problem as a jumping-off point and failed to credit them. OpenAI has denied the accusations. It remains uncertain if OpenAI's models made use of the work completed by Buckmaster and Alpöge, though Sébastien Bubeck, a member of the technical staff at OpenAI, said in a press briefing that the team was inspired to pursue the problem after hearing a rumor about Buckmaster and Alpöge's efforts.

Does AI actually belong in an art museum? For several months, something discomfiting has been creeping onto San Francisco's lampposts, bulletin boards, and restaurant windows: more and more signs, for run clubs and a July 4 parade and tacos, all of which are obviously entirely produced by generative AI. But does it bother me? A ChatGPT-generated poster for a garage sale seems legitimately dispiriting compared with a handwritten flyer, or even a haphazardly formatted Word document. What about a bodega using an AI-generated image of a hamburger instead of a random piece of clip art pulled from the internet?

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