If SAT is NP-Complete then, as is generally accepted, any polynomial solution of it must also present a polynomial solution of all NP decision problems. It is here argued, however, that NP is not of necessity equivalent to P where it is shown that SAT is contained in P. This due to ...
Under the assumption \\mathcal{P}=\\mathcal{NP} \\mathcal{P}=\\mathcal{NP} , we show that \\mathbf{M}_{}^{o} \\mathbf{M}_{}^{o} has a certain property, which, without the assumption, \\mathbf{M}_{}^{o} \\mathbf{M}_{}^{o} does not have. This leads to \\math...
you can tell people that "the non-trivial roots of the zeta function have real part equal to ½" but you'll struggle if someone follows up by asking what that means. It's not like Fermat's Last Theorem or the Four Color Problem, that are mathematically...
6.Proof by contradiction: To prove that a problem does not have an efficient, elegant solution, one can assume the existence of such a solution and then show that this assumption leads to a contradiction. This method can be powerful in establishing the impossibility of certain solutions. In co...
作为理论计算机领域的压轴大题，学界普遍认为P不等于NP(这句话可能不严格，感谢评论区)，但从未给出严格...
If the signal does not have time information, specify the time resolution (segment length) in samples. The time resolution must be an integer greater than or equal to 1 and smaller than or equal to the signal length. If the signal has time information, specify the time resolution in secon...
If combining this viewpoint with Cantor’s theorem, it is shown that an NTM is not equipotent to a DTM. This means that “generating the power set P(A) of a set A” is a non-canonical example to support that P is not equal to NP....
Sometimes it does not detect my router though. I've replaced the network cable with a new one, but I still have to frequently to reset the LAN networking device in order to have internet access. It's not a major issue, it's just annoying. Otherwise I would have gladly given it a 5...
If the signal does not have time information, specify the time resolution (segment length) in samples. The time resolution must be an integer greater than or equal to 1 and smaller than or equal to the signal length. If the signal has time information, specify the time resolution in secon...
If lwork is too small to compute all the eigenvectors requested, no computation is performed, except that if range = 'V', this subroutine does not know how many eigenvectors are requested until the eigenvalues are computed. Therefore, if range = 'V' and lwork is large enough to allow thi...