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The key difference from Euclidean geometry is that a circle of radius \(r\) has circumference \(2\pi\sinh r 2\pi r\), and volumes grow exponentially rather than polynomially: \[\operatorname{Vol}(B(r)) = \operatorname{Vol}(S^{n-1})\int_0^r \sinh^{n-1}(t)\,dt.\]
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There are a lot of things that AI can do. It can sort out your shopping list, and it can keep your kids entertained when they’re mutinous by spinning up a tailor-made bedtime story for them. It can make you more efficient at work, and can help our government operate more effectively.
Flash drive design can be deadly dull, so this Crayola crossover from SanDisk is fresh and fun. It’s a USB-C drive that resembles a crayon with a pop-off tip cap. It comes with SanDisk’s Memory Zone app onboard for Windows, Mac, or iPad, but you don’t have to use it. I got better read speeds than the advertised 300 MB/s (as high as 375 MB/s), but write speeds were always 150 MB/s or below. It comes in four fun colors (Cerulean Blue, Electric Lime, Mango Tango, or Vivid Violet). You also get a three-month trial of Crayola’s subscription Create and Play app. On the downside, the cap can be tricky to remove and will be easy to lose, and the drive is quite thick, so you might struggle to insert it if adjacent ports are in use.