Even permutation

Japanese: 偶置換 - ぐうちかん(英語表記)even permutation
Even permutation
A permutation obtained as the product of an even number of permutations. For example,
are even permutations. The set of permutations of n numbers 1, 2, 3, ..., n contains n !/2 even permutations. For example, in the permutation of the three numbers 1, 2, and 3, the even permutations are 123, 231, and 312, when the original sequence is 123.

Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information

Japanese:
偶数個の互換の積として得られる置換をいう。たとえば,
などは偶置換である。 n 個の数字 1,2,3,…,n の置換の全体は n!/2 個の偶置換を含んでいる。たとえば,3個の数1,2,3の置換では,偶置換はもとの列を 123とするとき 123,231,312の3個である。

出典 ブリタニカ国際大百科事典 小項目事典ブリタニカ国際大百科事典 小項目事典について 情報

<<:  Air-ground current - Air-ground current

>>:  Sky Large - Kuudai

Recommend

Collateral - Tampo

In a broad sense, it means a promise not to cause...

Shimazu Hisamitsu

Year of death: December 6, 1887 Year of birth: Bun...

Conceptual form - Kannen mobile phone

⇒Ideology Source: About Shogakukan Digital Daijise...

PRIDE - PRIDE

This mixed martial arts event was established to r...

Oimikadoke family

A descendant of the Northern branch of the Fujiwar...

Kiros, PFde - Kiros

…And Urdaneta sailed east to Mexico in 65. The su...

Etienne, R.

…A particularly outstanding father and son in the...

Ultrabasic rock

Ultramafic rock is also called ultramafic rock. A ...

Halemaumau

...It is composed of lava flows of tholeiitic oli...

Confederate States of America - Confederate States of America

A confederation formed in 1861 by seven southern s...

Tank - Sensha (English spelling) tank

An offensive weapon that combines striking power,...

Chordodes japonensis (English spelling)

…When these insects emerge and are eaten by insec...

Water breaks - Hasui

Also known as amniotic sac rupture, this occurs w...

F number - F number

The ratio of the focal length of an optical syste...

natural philosopher

...Thus, it became possible to systematically tra...