algebraic set

  • 41Dimension of an algebraic variety — In mathematics, the dimension of an algebraic variety V in algebraic geometry is defined, informally speaking, as the number of independent rational functions that exist on V. For example, an algebraic curve has by definition dimension 1. That… …

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  • 42Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …

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  • 43List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …

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  • 44Simplicial set — In mathematics, a simplicial set is a construction in categorical homotopy theory which is a purely algebraic model of the notion of a well behaved topological space. Historically, this model arose from earlier work in combinatorial topology and… …

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  • 45Divisor (algebraic geometry) — In algebraic geometry, divisors are a generalization of codimension one subvarieties of algebraic varieties; two different generalizations are in common use, Cartier divisors and Weil divisors (named for Pierre Cartier and André Weil). These… …

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  • 46Naive set theory — This article is about the mathematical topic. For the book of the same name, see Naive Set Theory (book). Naive set theory is one of several theories of sets used in the discussion of the foundations of mathematics.[1] The informal content of… …

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  • 47Differential algebraic equation — In mathematics, differential algebraic equations (DAEs) are a general form of (systems of) differential equations for vector–valued functions x in one independent variable t, where is a vector of dependent variables and the system has as many… …

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  • 48Rough set — A rough set originated by prof. Zdzisław I. Pawlak is a formal approximation of a crisp set (i.e., conventional set ) in terms of a pair of sets which give the lower and the upper approximation of the original set. The lower and upper… …

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  • 49Zero set — For the album by Moebius, Plank, Neumeier, see Zero Set. In mathematics, the zero set of a real valued function f : X → R (or more generally, a function taking values in some additive group) is the subset f − 1(0) of X (the inverse image of… …

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  • 50Wu'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… …

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