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Alternating permutation

Index Alternating permutation

In combinatorial mathematics, an alternating permutation (or zigzag permutation) of the set is an arrangement of those numbers so that each entry is alternately greater or less than the preceding entry. [1]

18 relations: Alternating, Baxter permutation, Bernoulli number, Boustrophedon transform, Désiré André, Dirichlet beta function, Euler number, Fence (mathematics), Genocchi number, Holonomic function, List of OEIS sequences, List of permutation topics, Longest alternating subsequence, Outline of trigonometry, Partial fractions in complex analysis, Permutation, Trigonometric functions, Zag.

Alternating

Alternating may refer to.

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Baxter permutation

In combinatorial mathematics, a Baxter permutation is a permutation \sigma \in S_n which satisfies the following generalized pattern avoidance property.

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Bernoulli number

In mathematics, the Bernoulli numbers are a sequence of rational numbers which occur frequently in number theory.

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Boustrophedon transform

In mathematics, the boustrophedon transform is a procedure which maps one sequence to another.

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Désiré André

Désiré André (André Antoine Désiré) (March 29, 1840, Lyon – September 12, 1917, Paris) was a French mathematician, best known for his work on Catalan numbers and alternating permutations.

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Dirichlet beta function

In mathematics, the Dirichlet beta function (also known as the Catalan beta function) is a special function, closely related to the Riemann zeta function.

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Euler number

In mathematics, the Euler numbers are a sequence En of integers defined by the Taylor series expansion where is the hyperbolic cosine.

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Fence (mathematics)

In mathematics, a fence, also called a zigzag poset, is a partially ordered set in which the order relations form a path with alternating orientations: or A fence may be finite, or it may be formed by an infinite alternating sequence extending in both directions.

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Genocchi number

In mathematics, the Genocchi numbers Gn, named after Angelo Genocchi, are a sequence of integers that satisfy the relation \frac.

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Holonomic function

In mathematics, and more specifically in analysis, a holonomic function is a smooth function in several variables that is a solution of a system of linear homogeneous differential equations with polynomial coefficients and satisfies a suitable dimension condition in terms of D-modules theory.

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List of OEIS sequences

This article provides a list of integer sequences in the On-Line Encyclopedia of Integer Sequences that have their own English Wikipedia entries.

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List of permutation topics

This is a list of topics on mathematical permutations.

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Longest alternating subsequence

In combinatorial mathematics, probability, and computer science, in the longest alternating subsequence problem, one wants to find a subsequence of a given sequence in which the elements are in alternating order, and in which the sequence is as long as possible.

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Outline of trigonometry

Trigonometry is a branch of mathematics that studies the relationships between the sides and the angles in triangles.

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Partial fractions in complex analysis

In complex analysis, a partial fraction expansion is a way of writing a meromorphic function f(z) as an infinite sum of rational functions and polynomials.

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Permutation

In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.

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Trigonometric functions

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle.

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Zag

Zag or ZAG may refer to.

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Redirects here:

Alternating Permutation, Alternating Permutations, Alternating permutations, André's Problem, André's problem, Entringer number, Euler zigzag number, Secant Number, Secant Numbers, Secant number, Secant numbers, Tangent Number, Tangent Numbers, Tangent number, Tangent numbers, Up/down number, Up/down numbers, Zag number, Zig number, Zigzag permutation.

References

[1] https://en.wikipedia.org/wiki/Alternating_permutation

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