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...nindra/algebra/primality_v6.pdf |title=PRIMES is in P |journal=[[Annals of Mathematics]] |volume=160 |year=2004 |issue=2 |pages=781–793 |doi=10.4007/annals.2004.1 If Agrawal's conjecture were true, it would decrease the runtime complexity of the [[AKS primality test]] from <math>\tilde O\mathord\left(\log^{6} n\righ ...

{{Use American English|date=January 2019}}{{Short description|Description of limiting behavior in probabilistic algorithms}} ...number ''n'' and goes to 1 as ''n'' goes to infinity, i.e. the probability of the [[Event (probability theory)|event]] occurring can be made as close to ...

| name = Strength of a graph: example ...ecomposed into three parts, with 4 edges between the parts, giving a ratio of 4/(3-1)=2. ...

...les and rule complexes can be used to define the behavior and interactions of the players (although in [[generalized game theory]], the rules are not nec ...or unconditional directive). Thus, rules can be seen as the basic objects of knowledge. ...

[[File:Dissociation number.pdf|thumb|Examples for the definition of the dissociation number]] ...iscipline of [[graph theory]], a subset of vertices in a [[Graph (discrete mathematics)|graph]] ''G'' ...

| workplaces = [[University of California, Berkeley]] | alma_mater = [[Massachusetts Institute of Technology]] PhD., 1989 ...

{{short description|Distributed computing model}} ...e read in the states of the agents once the computation has [[convergence (mathematics)|converged]]. ...

...''' is a type of [[Oracle machine|oracle]]-based problem. Various versions of this problem have quantum algorithms which can run much more quickly than k | title = Proceedings of the Eighteenth Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2007, ...

...onal dependencies]] on a [[Relation (database)|relation scheme]]) is a set of dependencies such that F [[logical implication|logically implies]] all depe The [[set (mathematics)|set]] <math>F_c</math> has two important properties: ...

...ix|tridiagonal]], order-''N'' [[matrix (mathematics)|matrices]] with pairs of nearly, but not exactly, equal [[eigenvalue]]s.<ref>{{cite book | title = T Wilkinson matrices have applications in many fields, including [[scientific computing]], [[numerical linear algebra]], and [[signal processing]]. ...

...d [[Derrick Henry Lehmer]]) is an [[algorithm]] that computes exact values of the [[prime-counting function]].<ref name="lehmer" /><ref name="lagarias-mi ...es from [[Adrien-Marie Legendre | Legendre]]. He observed from the [[Sieve of Eratosthenes]] that ...

...Professor of Computer Science at [[Smith College]] and the founding chair of the Smith computer science department.<ref>{{citation|url=https://www.smith ...optimal box may not share any of its face planes with the [[convex hull]] of the point set. Nevertheless, O'Rourke found an algorithm for this problem w ...

...'' square amplitude [[matrix (mathematics)|matrix]]. An important property of the gradient representation is the following: A given ''M x M'' matrix wher The original concept of GPA was introduced by Rosa, Sharma and Valdivia in 1999.<ref name=Rosa99>Ro ...

...partment at [[George Mason University]],{{r|chair}} and a former president of the [[Caucus for Women in Statistics]].{{r|cwspres}} Sun earned a bachelor's degree in mathematics from [[Anhui University]] and a master's degree from [[Peking University]]. ...

{{Short description|A function of Mathematics}} In [[mathematics]], a '''Catalan pseudoprime''' is an odd [[composite number]] ''n'' satisfy ...

In mathematics, '''rational reconstruction''' is a method that allows one to recover a [[r and the goal of the problem is to recover it from the given information. ...

...ecomposition''' is a way of writing a [[ring (mathematics)|ring]] in terms of polynomial subrings. They were introduced by {{harvs|txt|last=Stanley|first ...anley decomposition of ''R'' is a representation of ''R'' as a direct sum (of vector spaces) ...

{{Short description|Mathematics concept}} ...or a [[uniprocessor system]].<ref name=":0">{{cite book|title=Fundamentals of Parallel Multicore Architecture|publisher=Chapman & Hall|isbn=978-148221118 ...

...|author=Peter Sonneveld|journal=SIAM Journal on Scientific and Statistical Computing|volume=10|issue=1|pages=36–52|date=1989|url=https://www.proquest.com/docvie ...th>A</math>, then calculate <math>\bold x = A^{-1}\bold b</math>. However, computing the inverse is computationally expensive. Hence, iterative methods are comm ...

...pproximation can be used in the same way as the [[low-rank approximation]] of the [[singular value decomposition]] (SVD). CUR approximations are less ac * The matrices are more interpretable; The meanings of rows and columns in the decomposed matrix are essentially the same as their ...