Irreducible coset system

Japanese: 既約剰余系 - きやくじょうよけい
Irreducible coset system

…6, -5, 8, 9, -2, and -1 are also cosets. A class of integers relatively prime to m is called an irreducible coset, and the set of integers obtained by selecting one element each from each class is called an irreducible coset. When m = 6, 1, 5 are irreducible cosets. …

*Some of the terminology explanations that refer to "irreduced quotient systems" are listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

Japanese:

…また,6,-5,8,9,-2,-1も剰余系である。mと互いに素な整数からなる類を既約剰余類といい,その各類から一つずつ元を選び出して得られた整数の組を既約剰余系という。m=6のとき,1,5は既約剰余系である。…

※「既約剰余系」について言及している用語解説の一部を掲載しています。

出典|株式会社平凡社世界大百科事典 第2版について | 情報

<<:  Irreducible cosets

>>:  Guest House 2nd Period Culture - Guest House 2nd Period Culture

Recommend

ma'rifa (English spelling) marifa

...In other words, Islam, which referred to faith...

sidh

...Dagda is the god of the earth, Ogma is the god...

Valentinus (Saint) (English spelling) Valentinus

…The feast day of the Christian saint Valentinus ...

Princess Teshiraka - Princess Teshiraka

Year of birth: Unknown Empress of Emperor Keitai i...

Charles II (le Mauvais)

…The revolt was spontaneous, but came under the l...

Unbearable Tsukuda - Fukanden

In ancient times, fields that became uncultivable...

Atlantic Ocean

It borders the European and African continents to...

Awata Palace - Awata Gosho

...One of the three Tendai sect temples along wit...

Dermaptera

...They may damage stored fruit, but are not a si...

Giraffe - Giraffe

…(4) The large, paired-columnar cactus-like E. in...

Astrophotography - Tentaishashin (English spelling) Astronomical photography

This refers to the recording of the positions, sh...

Min'yakuyakukai - Min'yakuyakukai

This is a work by Nakae Chomin. It is a translati...

Ehagoita - Ehagoita

...Hago (hago) and koginoko (kogino ko) are the f...

Nasal polyp

What is the disease? Paranasal sinus mucosa ( Lot...

Iruka Pond - Iruka Pond

This is an artificial lake in the southeast of In...