I know, and hurrah, that problem has lessened. But, "Don't worry, we got a similar problem on the way to being fixed and it only took us 40 years," is hardly consolation to anyone facing the problem today, regardless of gender.
"more proactive on their own behalf?" So, what, all or most of the...
No, but that doesn't make the meme any better. In fact, it makes it worse - people don't take the idea of males being victims of e.g. domestic violence (which seems to be the main one) seriously enough to object to it.
Because every vector can be represented by a sum of basis vectors.
You may want to reread that post - the reference to [0,52] is not the vector, but the space the vector is defined on.
That was an off-by-one error, and I edited it out the post. (A 52D vector in projective Hilbert space does have...
Possibly, but nothing you quoted appear to contradict me.
If we just wanted to represent each card as "a vector," sure, we could just have a 1D vector in the space [0,52], but that doesn't have the properties we want. The framework of quantum mechanics says that the vectors representing our...
That's a non-sequitor. A linear combination of vectors is a vector - I never claimed the elements were vector spaces in themselves.
And we have 52 basis vectors because we're representing a state that returns 52 different values when measured. I think that additionally implies that the vectors...
1) If any set of basis vectors has 52 elements in it, as this one does, that implies the space is 52-dimensional.
2) So? We already know a basis exists.
3) I know that. This is the same Hilbert space you do QM in - complex projective function space.
The inner product is the same as it always...
Yes you do - you know that the space they're in is a Hilbert one (by context) and that it is 52-dimensional (because otherwise there couldn't be 52 distinct basis vectors.) :p
If you have a quantum-shuffled deck of cards, then we're saying that thesuperposition you get is all the information you can possibly have about the deck. When you compute probabilities, this is correct and we can say it's0 correct because of its statistical sucess in predicting the outcomes of...
I'm not following. The sentence "if we assume it works because of the statistical success then we're acknowledging we didn't have the information we claim" would only appear to be true if we assume that reality is deterministic.
I mean that there's a one-to-one correspondance between a physical system and a blob, where there is a one-to-many correspondance between blobs and wavefunctions. It is a "semantics" issue, but that's important in maths. :p
Also, perhaps it'd be easier to work out when we're getting hung up on...
Sadly, the system will not let me frubal that post. :p
Also, it should be noted that reality (as distinct from any given model of reality) is a black box. It produces data, and the entire purpose of science as a discipline is to build some description that fills in the black box and predicts...
...They don't? I would've thought the computational complexity and stability of, say, different weather models would be quite important. (That doesn't tell you anything about reality mind you...)
That's the sign of a good model, though - when you deductively derive conclusions, and they turn...
I did specify the context - Newtonian gravity, where the law of gravity is F=Gmm/r². The fact that the entire theory has been superseded doesn't change how the concepts within the theory are related.
I'm not talking about how the relationship was produced originally, but how it relates to the...