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在"英语"词典里cohomology}的意思

词典
词典
section

英语中COHOMOLOGY的发音

cohomology  [ˌkəʊhəˈmɒlədʒɪ] play
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COHOMOLOGY的语法类别

noun
形容词
动词
副词
代词
介词
连词
限定词
感叹词

COHOMOLOGY在英语中的意思是什么?

点击查看«cohomology»在英语词典里的原始定义
点击查看在中文词典里此定义的自动翻译

上同调

Cohomology

在数学中,特别是在同源论和代数拓扑学中,同位素是从共链复合物定义的阿贝尔族序列的通用术语。 也就是说,同音异义被定义为对cochains,cocycles和coading的抽象研究。 可以将同态学视为将代数不变量分配给具有比同源性更精细的代数结构的拓扑空间的方法。 同源性源于同源性构建的代数二元化。 在较不抽象的语言中,基本意义上的cochains应该将“数量”分配给同源性理论链。 从拓扑开始,这个想法成为二十世纪下半叶数学的主要方法; 从同源性的初始概念作为链上的拓扑不变关系,同源性和同源学理论的应用范围已经扩展到几何和抽象代数。 这个术语往往掩盖了这样一个事实:在许多应用中,同源学是一种逆向理论,比同源性更自然。 In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups defined from a co-chain complex. That is, cohomology is defined as the abstract study of cochains, cocycles, and coboundaries. Cohomology can be viewed as a method of assigning algebraic invariants to a topological space that has a more refined algebraic structure than does homology. Cohomology arises from the algebraic dualization of the construction of homology. In less abstract language, cochains in the fundamental sense should assign 'quantities' to the chains of homology theory. From its beginning in topology, this idea became a dominant method in the mathematics of the second half of the twentieth century; from the initial idea of homology as a topologically invariant relation on chains, the range of applications of homology and cohomology theories has spread out over geometry and abstract algebra. The terminology tends to mask the fact that in many applications cohomology, a contravariant theory, is more natural than homology.

在英语 词典里cohomology的定义

词典中上同调的定义是对代数拓扑的抽象研究。

The definition of cohomology in the dictionary is the abstract study of algebraic topology.

点击查看«cohomology»在英语词典里的原始定义
点击查看在中文词典里此定义的自动翻译

COHOMOLOGY押韵的英语 单词


anemology
ˌænɪˈmɒlədʒɪ
atmology
ætˈmɒlədʒɪ
cosmology
kɒzˈmɒlədʒɪ
docimology
ˌdɒsɪˈmɒlədʒɪ
entomology
ˌɛntəˈmɒlədʒɪ
enzymology
ˌɛnzaɪˈmɒlədʒɪ
epistemology
ɪˌpɪstɪˈmɒlədʒɪ
etymology
ˌɛtɪˈmɒlədʒɪ
gemmology
dʒɛˈmɒlədʒɪ
gemology
dʒɛˈmɒlədʒɪ
gizmology
ɡɪzˈmɒlədʒɪ
homology
həʊˈmɒlədʒɪ
ophthalmology
ˌɒfθælˈmɒlədʒɪ
orismology
ˌɒrɪzˈmɒlədʒɪ
pomology
pɒˈmɒlədʒɪ
potamology
ˌpɒtəˈmɒlədʒɪ
seismology
saɪzˈmɒlədʒɪ
sphygmology
sfɪɡˈmɒlədʒɪ
victimology
ˌvɪktɪˈmɒlədʒɪ
zymology
zaɪˈmɒlədʒɪ

COHOMOLOGY一样开头的英语单词

cohesively
cohesiveness
cohibit
cohibition
cohibitive
coho
cohobate
cohog
coholder
cohomological
cohort
cohortative
cohosh
cohost
cohostess
cohousing
COHSE
cohune
cohune palm
cohyponym

COHOMOLOGY一样开头的英语单词

archaeology
astrology
biology
biotechnology
ecology
genealogy
geology
information technology
methodology
microbiology
mythology
neurology
oncology
pathology
pharmacology
physiology
psychology
sociology
technology
terminology
theology

英语近义词词典里cohomology的近义词和反义词

近义词

«cohomology»的25种语言翻译

翻译者
online translator

COHOMOLOGY的翻译

通过我们的英语多语言翻译器,找到cohomology25种语言翻译
该章节所呈现的将cohomology由 英语向其他语言的翻译是通过自动统计翻译获得的;在英语中基本的翻译单位是单词«cohomology»。

翻译者英语 - 中文

上同调
1,325 数百万发言者

翻译者英语 - 西班牙语

cohomología
570 数百万发言者

英语

cohomology
510 数百万发言者

翻译者英语 - 印地语

cohomology
380 数百万发言者
ar

翻译者英语 - 阿拉伯语

كهومولوج)
280 数百万发言者

翻译者英语 - 俄语

когомологий
278 数百万发言者

翻译者英语 - 葡萄牙语

cohomology
270 数百万发言者

翻译者英语 - 孟加拉语

cohomology
260 数百万发言者

翻译者英语 - 法语

cohomologie
220 数百万发言者

翻译者英语 - 马来语

Kohomologi
190 数百万发言者

翻译者英语 - 德语

Kohomologie
180 数百万发言者

翻译者英语 - 日语

コホモロジー
130 数百万发言者

翻译者英语 - 韩语

코호 몰 로지
85 数百万发言者

翻译者英语 - 印尼爪哇语

Cohomology
85 数百万发言者
vi

翻译者英语 - 越南语

đối đồng điều
80 数百万发言者

翻译者英语 - 泰米尔语

cohomology
75 数百万发言者

翻译者英语 - 马拉地语

Cohomology
75 数百万发言者

翻译者英语 - 土耳其语

cohomoloji
70 数百万发言者

翻译者英语 - 意大利语

coomologia
65 数百万发言者

翻译者英语 - 波兰语

cohomology
50 数百万发言者

翻译者英语 - 乌克兰语

когомологій
40 数百万发言者

翻译者英语 - 罗马尼亚语

coomologie
30 数百万发言者
el

翻译者英语 - 希腊语

cohomology
15 数百万发言者
af

翻译者英语 - 布尔语(南非荷兰语)

cohomologie
14 数百万发言者
sv

翻译者英语 - 瑞典语

Snittkohomologi
10 数百万发言者
no

翻译者英语 - 挪威语

kohomologien
5 数百万发言者

cohomology的使用趋势

趋势

词语 «COHOMOLOGY»的使用趋势

0
100%
频率
经常使用
50
/100
此处所显示的地图给出了词语«cohomology»在不同国家的使用频率。
cohomology的主要搜索趋势和常见用法
用户为查找我们的英语在线词典以及单词«cohomology»的最常用表达而进行的主要搜索的列表。

词语«COHOMOLOGY» 随时间而变化的使用频率

该图表展现了单词«cohomology»在过去500年中的用法频率的每年演化其实施是基于分析词语«cohomology»从1500年到现在在 英语数字出版物中出现的频率。

cohomology的英语文献、引用和新闻中的使用范例

示例

«COHOMOLOGY»相关的英语书籍

在以下的参考文献中发现cohomology的用法。与cohomology相关的书籍以及同一来源的简短摘要提供其在 英语文献中的使用情境。
1
From Calculus to Cohomology: De Rham Cohomology and ...
An introductory textbook on cohomology and curvature with emphasis on applications.
Ib H. Madsen, Jxrgen Tornehave, 1997
2
Galois Cohomology
This book is an updated English translation of an influential work Cohomologie Galoisienne, published more than 30 years ago.
Jean-Pierre Serre, 2002
3
Cohomology of Groups
As a second year graduate textbook, Cohomology of Groups introduces students to cohomology theory (involving a rich interplay between algebra and topology) with a minimum of prerequisites.
Kenneth S. Brown, 1982
4
Representations and Cohomology: Volume 1, Basic ...
This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras, which have transformed the subject into a study of categories of modules.
D. J. Benson, 1998
5
Cohomology of Finite Groups
Some Historical Background This book deals with the cohomology of groups, particularly finite ones.
Alejandro Adem, R. James Milgram, 2004
6
Continuous Cohomology, Discrete Subgroups, and ...
In the years since the first edition of this work, there has been immense progress in the use of homological algebra to construct admissible representations and in the study of arithmetic groups.
Armand Borel, Nolan R. Wallach, 2000
7
Secondary Cohomology Operations
Starting with a CW pair, we observe that the q-th cohomology of the pair maps monomorphically into the q-th cohomology of the q-skeleton of the pair. By naturality, this composition factors through 0. For arbitrary pairs, the result follows by use ...
John R. Harper, 2002
8
Lie Groups, Lie Algebras, and Cohomology
This book starts with the elementary theory of Lie groups of matrices and arrives at the definition, elementary properties, and first applications of cohomological induction, which is a recently discovered algebraic construction of group ...
Anthony W. Knapp, 1988
9
Cohomology of Number Fields
The Galois groups G = G(L|K) of Galois extensions L|K are profinite groups and we may such use cohomology theory which we have developed in the preceding chapters. We are particularly interested in the meaning of the cohomology ...
Jürgen Neukirch, Alexander Schmidt, Kay Wingberg, 2013
10
Generalized Cohomology
This title starts with basic notions of homotopy theory, and introduces the axioms of generalized (co)homology theory. It also discusses various types of generalized cohomology theories.
Akira Kōno, 2006

包含词语«COHOMOLOGY»的新条目

找出国内和国际出版社所讨论的内容,以及词语cohomology在以下新条目的上下文中是如何使用的。
1
Quantum Hamiltonian complexity: Worth the wait
... completion of the full classification of phases in one-dimensional gapped spin chains in terms of the so-called second cohomology group. «Nature.com, 七月 15»
2
2015 Marker Lectures in the Mathematical Sciences Scheduled for …
... of Mathematics at the University of Michigan, he established a mathematical theory for quantum cohomology and Gromov-Witten invariants. «PressZoom, 三月 15»
3
Breakthrough Prize Awards: Like A Celeb Bash, Except These …
... classification of fully extended topological quantum field theories; and for providing a moduli-theoretic interpretation of elliptic cohomology. «Huffington Post UK, 十一月 14»
4
A Billionaire Mathematician's Life of Ferocious Curiosity
In 2007, the resulting paper ran under the title “Axiomatic Characterization of Ordinary Differential Cohomology.” What? “It's very hard to explain ... «New York Times, 七月 14»
5
The $3m prize for maths? Welcome to the X2+y2 factor
... "elliptical cohomology" and "combinatorics". As part of the deal, all the winners have agreed to sit on the selection committee for subsequent ... «The Independent, 六月 14»
6
Silicon Valley Giants Hand Out $15 Million In Prizes To …
... classification of fully extended topological quantum field theories; and for providing a moduli-theoretic interpretation of elliptic cohomology. «Gizmodo Australia, 六月 14»
7
King Faisal award honor for scholars
His deep insights into the p-adic cohomology of algebraic varieties have been crucial to modern developments in number theory. His work on ... «Arab News, 三月 14»
8
Winners of KING FAISAL INTERNATIONAL PRIZE 2014
His deep insights into the p-adic cohomology of algebraic varieties have been crucial to modern developments in number theory. His work on ... «The Nation, 二月 14»
9
Saudi scholar wins Faisal Prize for Islamic Studies
His deep insights into the p-adic cohomology of algebraic varieties have been crucial to modern developments in number theory. His work on ... «Saudi Gazette, 一月 14»
10
Belgian Mathematician Wins Abel Prize for Shaping Algebraic …
Grothendieck laid the foundations for finding the right cohomology, but his student Deligne found the final proof alone — and in a different way ... «Scientific American, 三月 13»

参考文献
« EDUCALINGO. Cohomology [在线]. 可用 <https://educalingo.com/zh/dic-en/cohomology>. 五月 2024 ».
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