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The question is whether or not, for all problems for which an algorithm can verify a given solution quickly (that is, in polynomial time), an algorithm can also find that solution quickly. Since the former describes the class of problems termed NP, while the latter describes P, the question is equivalent to asking whether all problems in NP are ...
An answer to the P versus NP question would determine whether problems that can be verified in polynomial time can also be solved in polynomial time. If P ≠ NP, which is widely believed, it would mean that there are problems in NP that are harder to compute than to verify: they could not be solved in polynomial time, but the answer could be ...
Can 3SUM be solved in strongly sub-quadratic time, that is, in time O(n 2−ϵ) for some ϵ>0? Can the edit distance between two strings of length n be computed in strongly sub-quadratic time? (This is only possible if the strong exponential time hypothesis is false.) Can X + Y sorting be done in o(n 2 log n) time?
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
Here are four strategies that project managers can use to get their teams on board with time tracking and get usable time data. 4 Ways to Make Tracking Your Work Time Less Miserable Skip to main ...
Scientists explored Beethoven’s ailments, linked remains to a Norse saga, uncovered colonial secrets, peeked inside an alchemy lab and debunked a royal hoax in 2024.
Similar questions are also asked repeatedly by J. J. Valberg in justifying his horizonal view of the self. [36] Tim S. Roberts refers to the question of why a particular organism out of all the organisms that happen to exist happens to be you as the "Even Harder Problem of Consciousness". [37]
Wasted time at work varied considerably by industry. Some industries see a lot more wasted time than others. According to this research, the three industries where time was wasted the most were ...