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在"英语"词典里triality}的意思

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英语中TRIALITY的发音

triality  [traɪˈælɪtɪ] play
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TRIALITY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

TRIALITY在英语中的意思是什么?

点击查看«triality»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

Triality

Triality

在数学中,三重性是三个向量空间之间的关系,类似于双向量空间之间的对偶关系。 最常见的是描述了Dynkin图D4和相关的Lie组Spin(8)的特征,即8维旋转组SO(8)的双重覆盖,这是因为该组具有三阶的外部自相位。 有三维的几何版本,类似于投影几何中的二元性。 在所有简单的Lie组中,Spin(8)具有最对称的Dynkin图,D4。 该图具有四个节点,一个节点位于中心,另外三个对称。 图中的对称组是通过置换三条腿起作用的对称组S3。 这引起了S3组的Spin外自动化(8)。 这个自动对等组置换了Spin(8)的三维不可约表示。 这些是矢量表示和两个手性自旋表示。 这些自动化并不涉及SO(8)的自动化。 In mathematics, triality is a relationship among three vector spaces, analogous to the duality relation between dual vector spaces. Most commonly, it describes those special features of the Dynkin diagram D4 and the associated Lie group Spin(8), the double cover of 8-dimensional rotation group SO(8), arising because the group has an outer automorphism of order three. There is a geometrical version of triality, analogous to duality in projective geometry. Of all simple Lie groups, Spin(8) has the most symmetrical Dynkin diagram, D4. The diagram has four nodes with one node located at the center, and the other three attached symmetrically. The symmetry group of the diagram is the symmetric group S3 which acts by permuting the three legs. This gives rise to an S3 group of outer automorphisms of Spin(8). This automorphism group permutes the three 8-dimensional irreducible representations of Spin(8); these being the vector representation and two chiral spin representations. These automorphisms do not project to automorphisms of SO(8).

在英语 词典里triality的定义

字典中的三重性的定义是三重的状态。

The definition of triality in the dictionary is the state of being threefold.

点击查看«triality»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

TRIALITY押韵的英语 单词


bestiality
ˌbɛstɪˈælɪtɪ
collegiality
kəˌliːdʒɪˈælɪtɪ
confidentiality
ˌkɒnfɪdenʃɪˈælɪtɪ
congeniality
kənˌdʒiːnɪˈælɪtɪ
conviviality
kənvɪvɪˈælɪtɪ
essentiality
ɪˌsenʃɪˈælɪtɪ
ideality
ˌaɪdɪˈælɪtɪ
immateriality
ˌɪməˌtɪərɪˈælɪtɪ
impartiality
ˌɪmpɑːʃɪˈælɪtɪ
joviality
ˌdʒəʊvɪˈælɪtɪ
materiality
məˌtɪərɪˈælɪtɪ
partiality
ˌpɑːʃɪˈælɪtɪ
potentiality
pəˌtɛnʃɪˈælɪtɪ
reality
rɪˈælɪtɪ
spatiality
ˌspeɪʃɪˈælɪtɪ
speciality
ˌspɛʃɪˈælɪtɪ
substantiality
səbˌstænʃɪˈælɪtɪ
territoriality
ˌtɛrɪˌtɔːrɪˈælɪtɪ
triviality
ˌtrɪvɪˈælɪtɪ
unreality
ˌʌnrɪˈælɪtɪ

TRIALITY一样开头的英语单词

trial balloon
trial basis
trial by battle
trial by combat
trial court
trial division
trial judge
trial jury
trial lawyer
trial period
trial run
trial separation
trialism
trialist
trialled
trialling
triallist
trialogue
trials
trialware

TRIALITY一样开头的英语单词

ability
air quality
augmented reality
equality
functionality
homosexuality
hospitality
in reality
inequality
locality
low-quality
morality
mortality
municipality
nationality
originality
personality
quality
sexuality
spirituality
vitality

英语近义词词典里triality的近义词和反义词

近义词

«triality»的25种语言翻译

翻译者
online translator

TRIALITY的翻译

通过我们的英语多语言翻译器,找到triality25种语言翻译
该章节所呈现的将triality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«triality»。

翻译者英语 - 中文

triality
1,325 数百万发言者

翻译者英语 - 西班牙语

trialidad
570 数百万发言者

英语

triality
510 数百万发言者

翻译者英语 - 印地语

triality
380 数百万发言者
ar

翻译者英语 - 阿拉伯语

triality
280 数百万发言者

翻译者英语 - 俄语

триальность
278 数百万发言者

翻译者英语 - 葡萄牙语

trialidade
270 数百万发言者

翻译者英语 - 孟加拉语

triality
260 数百万发言者

翻译者英语 - 法语

trialité
220 数百万发言者

翻译者英语 - 马来语

Kesahan
190 数百万发言者

翻译者英语 - 德语

Trialität
180 数百万发言者

翻译者英语 - 日语

三重性
130 数百万发言者

翻译者英语 - 韩语

triality
85 数百万发言者

翻译者英语 - 印尼爪哇语

Trials
85 数百万发言者
vi

翻译者英语 - 越南语

triality
80 数百万发言者

翻译者英语 - 泰米尔语

triality
75 数百万发言者

翻译者英语 - 马拉地语

सत्यता
75 数百万发言者

翻译者英语 - 土耳其语

Triality
70 数百万发言者

翻译者英语 - 意大利语

trialità
65 数百万发言者

翻译者英语 - 波兰语

triality
50 数百万发言者

翻译者英语 - 乌克兰语

тріальності
40 数百万发言者

翻译者英语 - 罗马尼亚语

trialitatii
30 数百万发言者
el

翻译者英语 - 希腊语

τριαδικότητα
15 数百万发言者
af

翻译者英语 - 布尔语(南非荷兰语)

trialiteitsprincipe
14 数百万发言者
sv

翻译者英语 - 瑞典语

triality
10 数百万发言者
no

翻译者英语 - 挪威语

triality
5 数百万发言者

triality的使用趋势

趋势

词语 «TRIALITY»的使用趋势

0
100%
频率
很少使用
32
/100
此处所显示的地图给出了词语«triality»在不同国家的使用频率。
triality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«triality»的最常用表达而进行的主要搜索的列表。

词语«TRIALITY» 随时间而变化的使用频率

该图表展现了单词«triality»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«triality»从1500年到现在在 英语数字出版物中出现的频率。

triality的英语文献、引用和新闻中的使用范例

示例

«TRIALITY»相关的英语书籍

在以下的参考文献中发现triality的用法。与triality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
Spinor Construction of Vertex Operator Algebras, Triality, ...
Many examples of vertex operator algebras and their generalizations are related to constructions in classical representation theory and shed new light on the classical theory. This book accomplishes several goals.
Alex J. Feingold, Igor Frenkel, John F. X. Ries
2
Lie Groups
To summarize, triality is an automorphism of order 3 of either spin(8) or PGO(8) but not of SO(8). The fixed subgroup of T in either spin(8) or PGO(8) is the exceptional group GI, and the inclusion of G^ in spin(8) can be understood as a folding ...
Daniel Bump, 2004
3
Triality
High Quality Content by WIKIPEDIA articles! In mathematics, triality is a relationship between three vector spaces, analogous to the duality relation between dual vector spaces.
Jesse Russell, Ronald Cohn, 2012
4
Clifford Algebras and Spinors
Regard Spin(8) as a subset of Ctg. In CB8, triality sends the lines through 1,- e12___8 and -1,e12,,,8, which are parallel, to the lines through 1, -1 and 612___3, —e12___3, which intersect each other. Thus, a triality automorphism of Spin(8) ...
Pertti Lounesto, 2001
5
Octonions, Jordan Algebras, and Exceptional Groups
Triality. In this chapter we deal with algebraic triality in the group of similarities and in the orthogonal group O(N) of the norm N of an octonion algebra C, and with the related triality in the Lie algebras of these groups, usually called local triality.
Tonny A. Springer, Ferdinand D. Veldkamp, 2000
6
Non-Associative Algebra and Its Applications
Susumu Okubo Department of Physics and Astronomy, University of Rochester, New York 25.1 Symmetric triality algebra .............................................................. 313 25.2 Examples of normal STA ............................................................... 316 25.3 ...
Lev Sabinin, Larissa Sbitneva, Ivan Shestakov, 2006
7
Matter Particled: Patterns, Structure and Dynamics : ...
TRIALITY CONTENT or SUBSTRATES For the classical groups R(n), S U02), and Sp(2k) with 21:: = n, we introduce the n-component substrate and the n X 12 matrix representation for simplicity. The substrate is then broken up into pieces that ...
Yuval Ne'eman, Remo Ruffini, Yosef Verbin, 2006
8
The Finite Simple Groups
The phenomenon known as triality plays an important role in many of the exceptional groups, especially F4(q), E6 (q)and3D 4(q), but is 'really' a property of the orthogonal groups PΩ + 8 (q), or rather of the spin groups Spin + 8 (q). We saw at ...
Robert Wilson, 2009
9
Symmetries in gravity and field theory
In particular, the subalgebra diagram for K = O reproduces the well known triality structure in so8, with three copies of 507 intersecting in a g2: bio(1)Q = so7 oetO = q-14 bi0(2)O = so7 triO = so8 bi0(3)O = so7 The extension of trialities from K to  ...
Víctor Aldaya, José Ma Cerveró, Pilar García, 2004
10
Degeneracy Loci and G2 Flags
APPENDIX B Triality If G is a simply-connected, split, semisimple group, then symmetries of the corresponding Dynkin diagram induce the outer automorphisms of G (see, e.g., [Fu-Ha, Prop. D.40] or [KMRT, §25. B]). The Dynkin diagram of type ...
David E. Anderson, 2009

包含词语«TRIALITY»的新条目

找出国内和国际出版社所讨论的内容,以及词语triality在以下新条目的上下文中是如何使用的。
1
John Fordham's playlist: jazz – Paul Clarvis, Antonio Sanchez, Polar …
Loose Tubes: Triality ... Triality. The reunion of the Loose Tubes big band was the hottest UK jazz story of 2014; they're scheduled to play again at the 2015 ... «The Guardian, 一月 15»
2
Surfer-Physicist Offers Alternative to String Theory, Academia
When I do this for E8, there's a symmetry called “triality” linking three different sheets of spacetime; with respect to each different sheet, each of the three different ... «Scientific American, 十月 14»
3
Dancing to connect
This admirable duality, or perhaps that should be triality, brought to mind a conversation with a recent graduate who also teaches classical ballet and Spanish ... «The Nation, 七月 13»
4
Defiance Trailer: Beast
Triality 2 years ago in reply to Vanquish999. And lets hope for a good game version. Read more Show less. ▽ Report spam or abuse. Jack Firebane 2 years ... «YouTube, 四月 13»
5
Galaxy Note II Clean Rom ACE 4.1.2 TW [FULL REVIEW] and Install
Triality 2 years ago. Don't know why I am watching this, I have the N4, HAHAHA. sub. Read more Show less. ▽ Report spam or abuse. felipe ribeiro 2 years ago. «YouTube, 四月 13»
6
Candidate profiles: Marshall Board of Education
Allen is director of community living at Triality Inc., a Kansas City-based non-profit that provides residential services for individuals with disabilities. Allen said he ... «The Marshall Democrat-News, 三月 13»
7
Crit* Hot Bread Kitchen
A combination that achieves a unique practical, natural, and a people-centric triality that infuses what could be perceived as a familiar aesthetic with a ... «The Dieline, 十二月 12»
8
Rep. Mary Franson Fights the Green Dragon!
... towards an entirely spiritual heaven after death, and the Pagan celebration of immanence, connection, matter, Earth, sexuality, duality, triality, multi-u-ality. «Patheos, 四月 12»
9
DNV Executive Interview – Fuel Cells, Subsea Technology, Arctic …
E. Torstad: Because we focus on competence and technology and we do things such as engage in projects like the Viking Lady, the Quantum, Triality and other ... «GCaptain, 四月 12»
10
DNV Responds: Class Societies and Ship Design Do Not Mix …
It is not like you can just go ahead and build Triality based on our concept study. The ship has not yet been designed! And DNV is not planning to design it. «GCaptain, 十一月 11»

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