Polynomial-time approximation scheme — In computer science, a polynomial time approximation scheme (abbreviated PTAS) is a type of approximation algorithm for optimization problems (most often, NP hard optimization problems).A PTAS is an algorithm which takes an instance of an… … Wikipedia
Polynomial time — In computational complexity theory, polynomial time refers to the computation time of a problem where the run time, m ( n ), is no greater than a polynomial function of the problem size, n .Written mathematically using big O notation, this states … Wikipedia
Polynomial-time reduction — In computational complexity theory a polynomial time reduction is a reduction which is computable by a deterministic Turing machine in polynomial time. If it is a many one reduction, it is called a polynomial time many one reduction, polynomial… … Wikipedia
Pseudo-polynomial time — In computational complexity theory, a numeric algorithm runs in pseudo polynomial time if its running time is polynomial in the numeric value of the input (which is exponential in the length of the input its number of digits).An ExampleConsider… … Wikipedia
Almost Wide Probabilistic Polynomial-Time — In theoretical computer science, Almost Wide Probabilistic Polynomial Time (AWPP) is a complexity class for problems in the context of quantum computing.AWPP contains the BQP (Bounded error, Quantum, Polynomial time) class, which contains the… … Wikipedia
Time complexity — In computer science, the time complexity of an algorithm quantifies the amount of time taken by an algorithm to run as a function of the size of the input to the problem. The time complexity of an algorithm is commonly expressed using big O… … Wikipedia
Polynomial hierarchy — In computational complexity theory, the polynomial hierarchy is a hierarchy of complexity classes that generalize the classes P, NP and co NP to oracle machines.DefinitionsThere are multiple equivalent definitions of the classes of the polynomial … Wikipedia
Polynomial — In mathematics, a polynomial (from Greek poly, many and medieval Latin binomium, binomial [1] [2] [3], the word has been introduced, in Latin, by Franciscus Vieta[4]) is an expression of finite length constructed from variables (also known as… … Wikipedia
Polynomial space — In computational complexity theory, polynomial space refers to the space required in computation of a problem where the space, m ( n ), is no greater than a polynomial function of the problem size, n .Written mathematically, m ( n ) = O( n k )… … Wikipedia
Time hierarchy theorem — In computational complexity theory, the time hierarchy theorems are important statements about time bounded computation on Turing machines. Informally, these theorems say that given more time, a Turing machine can solve more problems. For example … Wikipedia
Schwartz-Zippel lemma and testing polynomial identities — Polynomial identity testing is the problem of determining whether a given multivariate polynomial is the0 polynomial or identically equal to 0. The input to the problem is an n variable polynomial over a fieldF. It can occur in the following… … Wikipedia