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characteristic set

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  • Characteristic set — The mathematical concept of a characteristic set was discovered in the late forties by J.F. Ritt. Besides Gröbner basis method, it provides an alternative algorithmic way for solving multivariate polynomial equations or differential equations.In… …   Wikipedia

  • Wu's method of characteristic set — Wenjun Wu s method is an algorithm for solving multivariate polynomial equations introduced in the late 1970s by the Chinese mathematician Wen Tsun Wu. This method is based on the mathematical concept of characteristic set introduced in the late… …   Wikipedia

  • Characteristic based product configurator — A characteristic based product configurator is a product configurator extension which uses a set of discrete variables, called characteristics (or features), to define all the possible product variations. The characteristics There are two… …   Wikipedia

  • Characteristic class — In mathematics, a characteristic class is a way of associating to each principal bundle on a topological space X a cohomology class of X. The cohomology class measures the extent to which the bundle is twisted particularly, whether it possesses… …   Wikipedia

  • Characteristic polynomial — This article is about the characteristic polynomial of a matrix. For the characteristic polynomial of a matroid, see Matroid. For that of a graded poset, see Graded poset. In linear algebra, one associates a polynomial to every square matrix: its …   Wikipedia

  • Characteristic function (probability theory) — The characteristic function of a uniform U(–1,1) random variable. This function is real valued because it corresponds to a random variable that is symmetric around the origin; however in general case characteristic functions may be complex valued …   Wikipedia

  • Characteristic function (convex analysis) — In the field of mathematics known as convex analysis, the characteristic function of a set is a convex function that indicates the membership (or non membership) of a given element in that set. It is similar to the usual indicator function, and… …   Wikipedia

  • Set theory — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects …   Wikipedia

  • set — I [[t]se̱t[/t]] NOUN USES ♦ sets 1) N COUNT: oft N of n A set of things is a number of things that belong together or that are thought of as a group. There must be one set of laws for the whole of the country... I might need a spare set of… …   English dictionary

  • characteristic function — Math. 1. a function defined on a given set, having value 1 for every element of the set and value 0 for every element not contained in the set. 2. See characteristic polynomial. [1875 80] * * * …   Universalium

  • characteristic function — noun A function which is equal to 1 for all points in its domain which belong to a given set, and is equal to 0 for all points in the domain which do not belong to that given set. The characteristic function of a set A is often represented as… …   Wiktionary

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