algebraic multiplicity

  • 51Clifford's theorem on special divisors — In mathematics, Clifford s theorem on special divisors is a result of W. K. Clifford on algebraic curves, showing the constraints on special linear systems on a curve C. If D is a divisor on C, then D is (abstractly) a formal sum of points P on C …

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  • 52Graeffe's method — In mathematics, Graeffe s method or Dandelin–Graeffe method is an algorithm for finding all of the roots of a polynomial. It was developed independently by Germinal Pierre Dandelin in 1826 and Karl Heinrich Gräffe in 1837. Lobachevsky in 1834… …

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  • 53Root of unity — The 5th roots of unity in the complex plane In mathematics, a root of unity, or de Moivre number, is any complex number that equals 1 when raised to some integer power n. Roots of unity are used in many branches of mathematics, and are especially …

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  • 54Perron–Frobenius theorem — In linear algebra, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding… …

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  • 55Root-finding algorithm — A root finding algorithm is a numerical method, or algorithm, for finding a value x such that f(x) = 0, for a given function f. Such an x is called a root of the function f. This article is concerned with finding scalar, real or complex roots,… …

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  • 56Numerical semigroup — In mathematics, a numerical semigroup is a special kind of a semigroup. Its underlying set is the set of all nonnegative integers except a finite number and the binary operation is the operation of addition of integers. Also, the integer 0 must… …

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  • 57Simplex — For other uses, see Simplex (disambiguation). A regular 3 simplex or tetrahedron In geometry, a simplex (plural simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimension. Specifically, an n… …

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  • 58Cuspidal representation — In number theory, cuspidal representations are certain representations of algebraic groups that occur discretely in L2 spaces. The term cuspidal is derived, at a certain distance, from the cusp forms of classical modular form theory. In the… …

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  • 59Chow ring — In algebraic geometry, the Chow ring (named after W. L. Chow) of an algebraic variety is an algebraic geometric analogue of the cohomology ring of the variety considered as a topological space: its elements are formed out of actual subvarieties… …

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  • 60Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… …

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