nyssos
Joined 3 years ago
Joined 3 years ago
I use hundreds of millions of tokens a month, and LLMs have completely transformed the way I work. They're also, frankly, pretty mid programmers.
No, it really is C, not R^2. Consider product spaces, for example. C^2 ⊗ C^2 is C^4 = R^8, but R^4 ⊗ R^4 is R^16 - twice as large. So you get a ton of extra degrees of freedom with no physical meaning. You can quotient them out identifying physically equivalent states - but this is just the ordinary construction of the complex numbers as R^2/(x^2 + 1).
> but rather, physics uses C because C models the algebra of the thing physics is describing.
That's what C is: R^2, with extra algebraic structure.
Easily.
It would not be. Independent creation is a complete defense against copyright infringement.
Patents, however, do work this way.
Here's an implementation using GADTs and type-level addition
data Node (level :: Nat) (a :: Type) where
Leaf :: a -> Node Zero a
Interior :: a -> (Node l a, Node l a) -> Node (l + 1) a
It's impossible to construct an unbalanced node, since `Interior` only takes two nodes of the same level, and every `Leaf` is of level 0.