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alternating sum

См. также в других словарях:

  • Alternating series — In mathematics, an alternating series is an infinite series of the form:sum {n=0}^infty ( 1)^n,a n,with an ≥ 0 (or an ≤ 0) for all n . A finite sum of this kind is an alternating sum. An alternating series converges if the terms an converge to 0… …   Wikipedia

  • Alternating factorial — In mathematics, an alternating factorial is the absolute value of the alternating sum of the first n factorials. This is the same as their sum, with the odd indexed factorials multiplied by −1 if n is even, and the even indexed factorials… …   Wikipedia

  • Alternating series test — The alternating series test is a method used to prove that infinite series of terms converge. It was discovered by Gottfried Leibniz and is sometimes known as Leibniz s test or Leibniz criterion.A series of the form:sum {n=1}^infty a n(… …   Wikipedia

  • Alternating sign matrix — In mathematics, an alternating sign matrix is a square matrix of 0s, 1s, and −1s such that the sum of each row and column is 1 and the nonzero entries in each row and column alternate in sign. These matrices arise naturally when using Dodgson… …   Wikipedia

  • Covering groups of the alternating and symmetric groups — In the mathematical area of group theory, the covering groups of the alternating and symmetric groups are groups that are used to understand the projective representations of the alternating and symmetric groups. The covering groups were… …   Wikipedia

  • Higher spin alternating sign matrix — In mathematics, a higher spin alternating sign matrix is a generalisation of the alternating sign matrix (ASM), where the columns and rows sum to an integer r (the spin ) rather than simply summing to 1 as in the usual alternating sign matrix… …   Wikipedia

  • Automorphisms of the symmetric and alternating groups — In group theory, a branch of mathematics, the automorphisms and outer automorphisms of the symmetric groups and alternating groups are both standard examples of these automorphisms, and objects of study in their own right, particularly the… …   Wikipedia

  • Divisibility rule — A divisibility rule is a shorthand way of discovering whether a given number is divisible by a fixed divisor without performing the division, usually by examining its digits. Although there are divisibility tests for numbers in any radix, and… …   Wikipedia

  • Dirichlet eta function — For the modular form see Dedekind eta function. Dirichlet eta function η(s) in the complex plane. The color of a point s encodes the value of η(s). Strong colors denote values close to zero and hue encodes the value s argumen …   Wikipedia

  • combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… …   Universalium

  • Deligne–Lusztig theory — In mathematics, Deligne–Lusztig theory is a way of constructing linear representations of finite groups of Lie type using ℓ adic cohomology with compact support, introduced by Deligne Lusztig (1976). Lusztig (1984) used these representations to… …   Wikipedia

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