A Riemannian manifold isn't necessarily non-Euclidean, it's just a smooth manifold with a Riemannian metric, which is just sort of a way of defining local geometry in a coherent way. Namely it's a smooth family of inner products on the tangent spaces at each point, where an inner product on the tangent space is sort of a way of comparing any two directions at a point and the smoothly varying part means that for sufficiently close points, the comparison function on their respective tangent spaces is similar.

Anyway, like "manifold" is a formalism intended to capture the idea of a "shape or space," a "Riemannian manifold" is just "a shape or space we can do geometry on."

IT WAS TWENTY YEARS AGO TODAY

People are using LLMs to diagnose disease, write prescriptions, deny health care claims, deny loans and grants, write scientific papers, review scientific papers, draft engineering and architectural documents, and talk to their loved ones

Despair

It's fully cross platform with .NET Core and later.

Monkey laundering.

I was one of the last ~50 active players on War of the Roses when they shut down the backend. I had a bit over 1000 hours almost entirely in 1v1 dueling servers. Everyone knew everyone else. Tons of tribal knowledge about weird mechanics and glitches, blood feuds, and just generally interesting emergent gameplay within this tiny little niche. Since they shut it down I've been through college, grad school, a couple jobs, moved across the country, etc. and I still miss it. I really wish we'd been given this consideration.

People ITT hating on null coalescing operators need to touch grass. Null coalescing and null conditional (string?.Trim()) are immensely useful and quite readable. One only has to be remotely conscious of edge cases where they can impair readability, which is true of every syntax feature

I once had the flu so badly I couldn't get out of bed or yell for help. My parents put on "Flushed Away" (movie about some fuckin rats) on dvd and it looped at least 4 times before anyone came back to turn it off. One of my core traumas

I am personally unaware of any serious reason to believe that Firefox’s numbers will improve soon.

Either the author doesn't know about the Manifest v2 deprecation or is saying it's "unserious" to believe this might improve Firefox's market share. Either way, goofy.

For that matter, the real numbers are fake as fuck. "Ah yes, let's just throw in uncountably many non-computable numbers." They have played us for absolute fools.

That's for the kernel. Userspace often breaks userspace.

God forbid you ~~have to~~ can pay for stuff if you want.

It's a third party app. One of many. With an optional purchase to support the dev. Honestly...