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A positive solution to the problem would be implied by equality between free entropy and free entropy defined by microstates (Dan Voiculescu). In January 2020, a group of researchers [ 2 ] claimed to have resolved the problem in the negative, i.e., there exist type II 1 von Neumann factors that do not embed in an ultrapower R ω {\displaystyle ...
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The SLC (Class 11 and 12) and SEE (Class 10) examinations are normally scheduled from April to June each year. The examinations are conducted by the National Examination Board (NEB), located in Sanothimi, Bhaktapur, Nepal. Until 2016, SLC was the Grade 10 final examination, famously known as the "iron gate" [citation needed]. However, after ...
The first documented computer architecture was in the correspondence between Charles Babbage and Ada Lovelace, describing the analytical engine.While building the computer Z1 in 1936, Konrad Zuse described in two patent applications for his future projects that machine instructions could be stored in the same storage used for data, i.e., the stored-program concept.
Lovelace's notes for the article were three times longer than the article itself. [17] In the first notes, she explores beyond the numerical ambitions that Babbage had for the machine, and suggests the machine could take advantage of computation in order to deal with the realms of music, graphics, [18] and language. [8] [19] [20]
NP is a class of decision problems; the analogous class of function problems is FNP. The only known strict inclusions come from the time hierarchy theorem and the space hierarchy theorem , and respectively they are N P ⊊ N E X P T I M E {\displaystyle {\mathsf {NP\subsetneq NEXPTIME}}} and N P ⊊ E X P S P A C E {\displaystyle {\mathsf {NP ...
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TSP is known to be NP-hard so an optimal solution for even a moderate size problem is difficult to solve. Instead, the greedy algorithm can be used to give a good but not optimal solution (it is an approximation to the optimal answer) in a reasonably short amount of time. The greedy algorithm heuristic says to pick whatever is currently the ...