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Parity of a permutation and Permutation

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Parity of a permutation and Permutation

Parity of a permutation vs. Permutation

In mathematics, when X is a finite set of at least two elements, the permutations of X (i.e. the bijective functions from X to X) fall into two classes of equal size: the even permutations and the odd permutations. 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.

Similarities between Parity of a permutation and Permutation

Parity of a permutation and Permutation have 12 things in common (in Unionpedia): Bijection, Cyclic permutation, Factorial, Finite set, Function composition, Inversion (discrete mathematics), Levi-Civita symbol, Mathematics, Permutation, Permutation matrix, Symmetric group, Total order.

Bijection

In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.

Bijection and Parity of a permutation · Bijection and Permutation · See more »

Cyclic permutation

In mathematics, and in particular in group theory, a cyclic permutation (or cycle) is a permutation of the elements of some set X which maps the elements of some subset S of X to each other in a cyclic fashion, while fixing (that is, mapping to themselves) all other elements of X. If S has k elements, the cycle is called a k-cycle.

Cyclic permutation and Parity of a permutation · Cyclic permutation and Permutation · See more »

Factorial

In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, The value of 0! is 1, according to the convention for an empty product.

Factorial and Parity of a permutation · Factorial and Permutation · See more »

Finite set

In mathematics, a finite set is a set that has a finite number of elements.

Finite set and Parity of a permutation · Finite set and Permutation · See more »

Function composition

In mathematics, function composition is the pointwise application of one function to the result of another to produce a third function.

Function composition and Parity of a permutation · Function composition and Permutation · See more »

Inversion (discrete mathematics)

In computer science and discrete mathematics a sequence has an inversion where two of its elements are out of their natural order.

Inversion (discrete mathematics) and Parity of a permutation · Inversion (discrete mathematics) and Permutation · See more »

Levi-Civita symbol

In mathematics, particularly in linear algebra, tensor analysis, and differential geometry, the Levi-Civita symbol represents a collection of numbers; defined from the sign of a permutation of the natural numbers, for some positive integer.

Levi-Civita symbol and Parity of a permutation · Levi-Civita symbol and Permutation · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Mathematics and Parity of a permutation · Mathematics and Permutation · See more »

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.

Parity of a permutation and Permutation · Permutation and Permutation · See more »

Permutation matrix

\pi.

Parity of a permutation and Permutation matrix · Permutation and Permutation matrix · See more »

Symmetric group

In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions.

Parity of a permutation and Symmetric group · Permutation and Symmetric group · See more »

Total order

In mathematics, a linear order, total order, simple order, or (non-strict) ordering is a binary relation on some set X, which is antisymmetric, transitive, and a connex relation.

Parity of a permutation and Total order · Permutation and Total order · See more »

The list above answers the following questions

Parity of a permutation and Permutation Comparison

Parity of a permutation has 28 relations, while Permutation has 113. As they have in common 12, the Jaccard index is 8.51% = 12 / (28 + 113).

References

This article shows the relationship between Parity of a permutation and Permutation. To access each article from which the information was extracted, please visit:

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