harmonic permutation

  • 1Random permutation statistics — The statistics of random permutations, such as the cycle structure of a random permutation are of fundamental importance in the analysis of algorithms, especially of sorting algorithms, which operate on random permutations. Suppose, for example,… …

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  • 2Fugue — For other uses, see Fugue (disambiguation). A six part fugue from The Musical Offering, in the hand of Johann Sebastian Bach. In music, a fugue ( &#16 …

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  • 3Stirling numbers of the first kind — In mathematics, Stirling numbers of the first kind, together with the Stirling numbers of the second kind, are one of the two types of Stirling numbers. They commonly occur in the study of combinatorics, where they count the number of… …

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  • 4Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… …

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  • 5Riemann series theorem — In mathematics, the Riemann series theorem (also called the Riemann rearrangement theorem), named after 19th century German mathematician Bernhard Riemann, says that if an infinite series is conditionally convergent, then its terms can be… …

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  • 6Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… …

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  • 7Cross-ratio — D is the harmonic conjugate of C with respect to A and B In geometry, the cross ratio, also called double ratio and anharmonic ratio, is a special number associated with an ordered quadruple of collinear points, particularly points on a… …

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  • 8Mean — This article is about the statistical concept. For other uses, see Mean (disambiguation). In statistics, mean has two related meanings: the arithmetic mean (and is distinguished from the geometric mean or harmonic mean). the expected value of a… …

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  • 9List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …

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  • 10Group representation — In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces; in particular, they can be used to represent group elements as matrices so that the group… …

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