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Meaning of "幂零" in the Chinese dictionary

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DICTIONARY
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PRONUNCIATION OF 幂零 IN CHINESE

líng
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WHAT DOES 幂零 MEAN IN CHINESE?

Click to see the original definition of «幂零» in the Chinese dictionary.
Click to see the automatic translation of the definition in English.

Nilpotent

幂零元

In abstract algebra, an element x of a ring R is a nilpotent if and only if there is a positive integer n such that xn is equal to the zero element in the addition. ... 在抽象代数中,某个环R的一个元素x是一个幂零元,当且仅当存在一个正整数n,使得xn等于加法中的零元素。...

Definition of 幂零 in the Chinese dictionary

Nilpotex self zero by a number of zero-style. 幂零 自乘若干次为零的式子。
Click to see the original definition of «幂零» in the Chinese dictionary.
Click to see the automatic translation of the definition in English.

CHINESE WORDS THAT RHYME WITH 幂零


丁零
ding ling
交零
jiao ling
兜零
dou ling
凋零
diao ling
化整为零
hua zheng wei ling
孤零
gu ling
孤零零
gu ling ling
家业凋零
jia ye diao ling
感极涕零
gan ji ti ling
感激涕零
gan ji ti ling
打零
da ling
挂零
gua ling
撩零
liao ling
残零
can ling
泪零
lei ling
湖海飘零
hu hai piao ling
畸零
ji ling
百花凋零
bai hua diao ling
雕零
diao ling
风雨飘零
feng yu piao ling

CHINESE WORDS THAT BEGIN LIKE 幂零

级数
平均

CHINESE WORDS THAT END LIKE 幂零

书剑飘
四海飘
涕泪交
琴剑飘
马兜

Synonyms and antonyms of 幂零 in the Chinese dictionary of synonyms

SYNONYMS

Translation of «幂零» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF 幂零

Find out the translation of 幂零 to 25 languages with our Chinese multilingual translator.
The translations of 幂零 from Chinese to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «幂零» in Chinese.

Chinese

幂零
1,325 millions of speakers

Translator Chinese - Spanish

nilpotente
570 millions of speakers

Translator Chinese - English

Nilpotent
510 millions of speakers

Translator Chinese - Hindi

nilpotent
380 millions of speakers
ar

Translator Chinese - Arabic

Nilpotent
280 millions of speakers

Translator Chinese - Russian

Нильпотентное
278 millions of speakers

Translator Chinese - Portuguese

nilpotente
270 millions of speakers

Translator Chinese - Bengali

Nilpotent
260 millions of speakers

Translator Chinese - French

nilpotent
220 millions of speakers

Translator Chinese - Malay

nilpoten
190 millions of speakers

Translator Chinese - German

nilpotenten
180 millions of speakers

Translator Chinese - Japanese

冪零
130 millions of speakers

Translator Chinese - Korean

멱 영원
85 millions of speakers

Translator Chinese - Javanese

Nilpotent
85 millions of speakers
vi

Translator Chinese - Vietnamese

lũy linh
80 millions of speakers

Translator Chinese - Tamil

Nilpotent
75 millions of speakers

Translator Chinese - Marathi

Nilpotent
75 millions of speakers

Translator Chinese - Turkish

Nilpotent
70 millions of speakers

Translator Chinese - Italian

nilpotent
65 millions of speakers

Translator Chinese - Polish

Nilpotent
50 millions of speakers

Translator Chinese - Ukrainian

нильпотентною
40 millions of speakers

Translator Chinese - Romanian

nilpotente
30 millions of speakers
el

Translator Chinese - Greek

nilpotent
15 millions of speakers
af

Translator Chinese - Afrikaans

Nilpotente
14 millions of speakers
sv

Translator Chinese - Swedish

nilpotent
10 millions of speakers
no

Translator Chinese - Norwegian

nilpotent
5 millions of speakers

Trends of use of 幂零

TRENDS

TENDENCIES OF USE OF THE TERM «幂零»

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100%
The map shown above gives the frequency of use of the term «幂零» in the different countries.

Examples of use in the Chinese literature, quotes and news about 幂零

EXAMPLES

10 CHINESE BOOKS RELATING TO «幂零»

Discover the use of 幂零 in the following bibliographical selection. Books relating to 幂零 and brief extracts from same to provide context of its use in Chinese literature.
1
幂零Lie群上的Fourier分析和不变偏微分算子
国家青年科学基金和甘肃省教委首届“甘肃省高等学校青年教师成才奖”奖励科研经费资助
崔尚斌, 1993
2
高等代数学习指导书: - 第 311 页
5 · 4 · 2 典型例题例 1 证明从而证明:与幂等矩阵相似的矩阵仍是幂等矩阵。设 A 是九级幂等矩阵,且 A ~ B ,则存在九级可逆矩阵 p ,使得 B = P - ' AP 。 B2 = P-'AtP=P-1AP = B 因此 B 是幂等矩阵。例 2 证明:与幂零矩阵相似的矩阵仍是幂零矩阵,并且它们 ...
丘维声, 2005
3
有限群论基础 - 第 173 页
( 3 )若 H 是幂零群 G 的子群且 G = GH ,那么 H = G .定理 19 有限 p -群是幂零群.有限群 G 是幂零群当且仅当 G 可表成它的 Sylow 子群的直积.推论有限群是幂零的当且仅当它的极大子群都是正规的.我们介绍群的一类幂零子群.定义 10 都鲜 G 的所有极 ...
王萼芳, 2002
4
高等代数学 - 第 241 页
证明日二 g 十 w @其中 g 是 R "上可对角化线性变换,力为幂零线性变换·且 U 力亡·炒·求 9 和力在自然基下的方阵表示 1 已设 V 是 n 维复线性空间·设土是 V 的线性变换, g 是 d 的可对角化部分(见系 5 )证明:对任意多项式 g ( x ) GC [ x 刀 9 ( d )的可对 ...
张贤科, ‎许甫华, 2004
5
线性代数复习指导/: 思路、方法与技巧 - 第 21 页
... 2古2j+ " + a 油"矩阵的乘法运算满足下列运算规律: 0 结合律( AB ) C 二 A ( BC ) 0 分配律( A + 刀) C 二 AC + BC , C ( A + B ) ... A " A """-称为 A 的&次幂·特别地,若存在整数 m ,使 A m 二 0 ,称 A 为幂零矩阵·方阵的幂满足下列运算规律: A , A "二川" m ...
陈文灯, 2003
6
高等代数教程: 上册 - 第 237 页
矩阵 A 称作耳零的,如果有正整数义使 A4 二 0 @且称作耳等的·如果方且,从而对正拄数&都有 A4 二 A @ A 称为么鼻的,如果有正整效 A 使凡几试证: ( 1 )与幂零矩阵相似的矩阵都是幂零 ...
王萼芳, 1997
7
线性代数学习指南 - 第 225 页
得基础解系: x , = ( - 1 ,一 1 , l ) T ·故 A 的属于叫的全部特征向量为屯斯(屯为任意非 0 常数) ·对于 A2 = - 2 ,求解( A , I-A ) x =矾即( 3 行成比例,解第 1 ... ( l ) A 不可逆; ( 2 ) det ( I 一川) = 0 ; ( 3 )出二叭幂零矩阵) ; ( 4 ) A 二研一 B ( A 。为 B 的特征值) ·解( 1 ) ...
居余马, ‎林翠琴, 2003
8
线性代数 - 第 102 页
... 1 , 0 , " , 0 ) (有矩阵,证明, ( 2 ) (凡 T ) ' F 零常敦) · I00 OalO OOaI 0OOa, 85 ·证明:与任素的真阶矩阵可交换的矩阵必是札阶效 ... 0 ,就称凡为幂零矩阵·没幂零矩阵 A 满足川= 0 ( A 为正整故) ,试证明: l-A 可逆,并求其逆矩阵 89 ·设 4 =时·求其逆矩阵 90 ...
居余马, 2002
9
应用近世代数 - 第 142 页
...,则了是尸的一个零因子的充分必要条件是/ ( z )的零点集包含一个开区间。并求厂中的幂零元,幂等元和可逆元。 6 ·确定 M , ( Z )中的幂零元。 7 ·证明环中元素材可逆的产要条件是以下两个条件之一成立: ( l ) uUu = " , Uu ' " = 1 ( 2 ) uUu = "且口是唯一 ...
胡冠章, 1999
10
离散数学简明教程 - 第 87 页
定义 3 · 7 · 3 设" , h 是环< R ,十, · )中的两个非零元,如果" · & = 0 ,则称"是( R ,十, · )中的一个左零因子; &是< R ,十, · )中的右零因子;若一个元素既是左零因子又是右零因子,则称它是零因子;若"是环< R ,十, · )中的非零元,且存在正整数札使矿=仇则称"是幂 ...
王礼萍, 2005

NEWS ITEMS WHICH INCLUDE THE TERM «幂零»

Find out what the national and international press are talking about and how the term 幂零 is used in the context of the following news items.
1
张继平:流连数学对称美
... 它的美时,人们也许便不难理解,为什么他不到40岁就出任北大数学学院院长,为什么可以花近20年时间证明群论中新的p-幂零准则,为什么会赢得陈省身数学奖… «中国网, May 09»

REFERENCE
« EDUCALINGO. 幂零 [online]. Available <https://educalingo.com/en/dic-zh/mi-ling-1>. Apr 2024 ».
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