Not really, you need to have a basic understanding at least
kogasa
joined 2 years ago
You might be thinking of a [connection of an affine bundle](https://en.wikipedia.org/wiki/Connection_(affine_bundle). You could learn it through classes (math grad programs usually have a sequence including general topology, differential topology/smooth manifolds, and differential geometry) or just read some books to get the parts you need to know.
Manifolds and differential forms are foundational concepts of differential topology, and connections are a foundational concept of differential geometry. They are mathematical building blocks used in modern physics, essentially enabling the transfer of multivariable calculus to arbitrary curved surfaces (without relying on an explicit embedding into Euclidean space). I think the joke is that physics students don't typically learn the details of these building blocks, rather just the relevant results, and get confused when they're emphasized.
For a tl;dr about the concepts mentioned:
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A manifold is a curve, surface, or higher-dimensional object which locally resembles Euclidean space around each point (e.g. the surface of a sphere is a 2D manifold; tiny person standing on a big sphere perceives the area around them to resemble a flat 2D plane).
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Differential forms are "things that can be integrated over a manifold of the corresponding dimension." In ordinary calculus of 1 variable, that's a suitably regular function (e.g. a continuous function), and we view such a function f(x) as a differential form by writing it as "f(x) dx."
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A connection is a way of translating local tangent vectors from one point on a manifold to another in a parallel manner, i.e. literally connecting the local geometries of different points on the manifold. The existence of a connection on a manifold enables one to reason consistently about geometric concepts on the whole manifold.
No, they're not sure. You're correct.
Definitely not.
All people. 320kbps mp3 is completely audibly transparent under all normal listening conditions. It's a low-tier audiophile meme to claim otherwise but they will never pass a double-blind test.
$7 Taco Bell? What's your order, a tortilla? :'(
Adding basically salt to salt doesn't make the salt saltier. It just makes more salt.
Yes, speed and the benefits of all the tooling and static analysis they're bringing to Python. Python is great for many things but "analyzing Python" isn't necessarily one of them.
No, it's not a universal requirement nor is it particularly determined by the quality of your beans/grinder. Some very expensive grinders have anti-static mechanisms and better grinders typically have less static cling and retention. It's also not so much about handling the grounds as it is about preventing small amounts of grounds from clinging to the inside of the grinder or your dosing cup.
She didn't step on it, she apparently used her thumb and damaged one of the buns in the pack