Recent content by krete

Thanks a lot!

Got it, many thanks! Another question: whether a continuous and locally one-to-one map between two open spaces, e.g., two connected open set of R^n, must be a (globally) one-to-one map?

Whether a continuous and locally one-to-one map must be a (globally) one-to-one map? If the answer is not. Might you please give a counter-example? Thank in advance.

I encounter a problem on the fitting ability of a special class of multi-variable polynomials. To be specific, I need find whether a special class of multi-variable polynomials, denoted by p(m), where m is the number of variables, can universally and exactly fit all member in another special...

Dear quasar987, Thank you very much for your helpful answer. It is really a nice proof.

Hi, HallsofIvy, How about if the subset of R^n is not the whole R^k (k<n) but some ill-behaved set (e.g., a space filling line)?

It is well known that there does NOT exist a homeomorphism between R^m and R^n if m>n. My question is whether it is possible to construct a homeomorphism between R^m (as a whole) and a subset of R^n (note that we also suppose that m>n)? Intuitively, it is impossible. Is my intuition right...

thank you very much for your kind help.

On the multiplicity of the eigenvalue Dear friends, Might you tell me any hint on the multiplicity of the max eigenvalue, i.e., one, of the following matrix. 1 0 0 0 0 p21 0 p23 0 0 0 p32 0 p34 0...

Alternative formalization of quantum mechanics? Hi, friends! I know there are some alternative formalization of quantum mechanics, which give non-Copenhagen explanation. For example, Bohmian formalization give an explanation of global determinism. Currently, I would like to know...

got it, thanks a lot:)!

I just want to detect it. Thanks very much for your suggestion. I will try to find the book in the library. Sure, you are exactly correct. Actually, I have to deal with the problem measuring pure k-partite entanglements (I admit this problem might not be well-defined since the...

Dear soarce, Thank you very much for your kind suggestions. I have another question. I think that the quantum entanglements and classically statistical dependence is equivalent if measurements have been finished. To be specific, if we repeatedly measure an ensemble of a pure state...

On General Measure of Entanglement Hi, sirs My major is computer science. While I currently need to deal with some physical problems. Thank you very much for your help. It is well-known that Von Neumann entropy is a measure of entanglement for bipartite pure states. However, I...