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etymologie

Wat (wie) is NP antigen - definitie

COMPLEXITY CLASS

NP hard; Np hard; Np-hard; NP-Hard Problem; NP-HARD; NP-hard problems; NP-Hard; NP-hard

NP-hard

<complexity> A set or property of computational {search problems}. A problem is NP-hard if solving it in {polynomial time} would make it possible to solve all problems in class NP in polynomial time. Some NP-hard problems are also in NP (these are called "NP-complete"), some are not. If you could reduce an NP problem to an NP-hard problem and then solve it in polynomial time, you could solve all NP problems. See also computational complexity. [Examples?] (1995-04-10)

NP-hardness

In computational complexity theory, NP-hardness (non-deterministic polynomial-time hardness) is the defining property of a class of problems that are informally "at least as hard as the hardest problems in NP". A simple example of an NP-hard problem is the subset sum problem.

https://en.wikipedia.org/wiki/NP-hardness

P versus NP problem

UNSOLVED PROBLEM IN COMPUTER SCIENCE ABOUT TIME COMPLEXITY

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The P versus NP problem is a major unsolved problem in theoretical computer science. In informal terms, it asks whether every problem whose solution can be quickly verified can also be quickly solved.

https://en.wikipedia.org/wiki/P_versus_NP_problem

Wikipedia

NP-hardness

In computational complexity theory, NP-hardness (non-deterministic polynomial-time hardness) is the defining property of a class of problems that are informally "at least as hard as the hardest problems in NP". A simple example of an NP-hard problem is the subset sum problem.

A more precise specification is: a problem H is NP-hard when every problem L in NP can be reduced in polynomial time to H; that is, assuming a solution for H takes 1 unit time, H's solution can be used to solve L in polynomial time. As a consequence, finding a polynomial time algorithm to solve any NP-hard problem would give polynomial time algorithms for all the problems in NP. As it is suspected that P≠NP, it is unlikely that such an algorithm exists.

It is suspected that there are no polynomial-time algorithms for NP-hard problems, but that has not been proven. Moreover, the class P, in which all problems can be solved in polynomial time, is contained in the NP class.

https://en.wikipedia.org/wiki/NP-hardness