Odd permutation

Japanese: 奇置換 - きちかん(英語表記)odd permutation
Odd permutation
A permutation obtained as the product of an odd number of permutations. For example,
are odd permutations. The set of permutations of n numbers 1, 2, 3, …, n contains n !/2 odd permutations. For example, in the permutation of the three numbers 1, 2, 3, the odd permutations are the three numbers 213, 132, 321, when the first is standardized to 123.

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

Japanese:
奇数個の互換の積として得られる置換をいう。たとえば,
などは奇置換である。 n 個の数字 1,2,3,…,n の置換の全体は n!/2 個の奇置換を含んでいる。たとえば,3個の数1,2,3の置換では奇置換は最初を 123と標準化したとき,213,132,321で表わされる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

<<:  Kichikichi grasshopper - Kichikichi grasshopper

>>:  Crazy Murderer - Crazy Murderer

Recommend

Fire - rudder

It is called a fire because it is something that i...

The Great Law of Oan - Oan no Taiho

...During the Kenmu Restoration after the fall of...

qaṣaba (flute) (English spelling) qasaba

...In addition to this common style, Iranian clas...

One-act play

A type of drama that is performed without an inter...

Active element

A circuit element that acts as an energy source fo...

Troide

〘Noun〙 (Tholoide) A dome-shaped volcano formed whe...

"Congressional Records"

…He won a seat in the first election after the el...

Gidayu Chronology - Gidayu Chronology

A chronology of Bunraku puppet theater performance...

Retention -

A prefecture-level city in central Hebei Province...

MS-T5, PLANET-A - MS Stage

...ISEE3 started moving from the Lagrangian point...

Six tools - Rokki

〘Noun〙 One of the esoteric Buddhist ritual impleme...

Chalderan (English spelling)

…In 1514, a battle took place in the fields of Ça...

Monjoin

During the Heian period, this was an educational ...

Aphids (cockroaches) - Aphids

… [Shojiro Asahina] Old names for cockroaches inc...

Literary Revolution

A cultural and ideological innovation movement th...