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在"英语"词典里quaternion}的意思

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词典
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单词 QUATERNION的词源

From Late Latin quaterniōn, from Latin quaternī four at a time.
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语源学是对单词起源和它们的结构和意义变化的研究
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英语中QUATERNION的发音

quaternion  [kwəˈtɜːnɪən] play
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QUATERNION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

QUATERNION在英语中的意思是什么?

点击查看«quaternion»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
quaternion

四元

Quaternion

在数学中,四元数是扩展复数的数字系统。 他们在1843年首先被爱尔兰数学家威廉·罗文·汉密尔顿(William Rowan Hamilton)描述,并应用于三维空间的力学。 四元数的特征是两个四元数的乘法是非交换的。 汉密尔顿将四元数定义为三维空间中的两条有向线的商或等价于两个向量的商。 四元组在理论和应用数学方面都有应用,特别是涉及三维旋转的计算,如三维计算机图形学和计算机视觉。 在实际应用中,它们可以与其他方法一起使用,例如欧拉角和旋转矩阵,或者根据应用选择它们。 在现代数学语言中,四元数在实数上形成四维关联规范划分代数,因此也是一个域。 事实上,四元数是要发现的第一个非交换划分代数。 四元数的代数通常由H表示,或黑板中粗体表示。 In mathematics, the quaternions are a number system that extends the complex numbers. They were first described by Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. A feature of quaternions is that multiplication of two quaternions is noncommutative. Hamilton defined a quaternion as the quotient of two directed lines in a three-dimensional space or equivalently as the quotient of two vectors. Quaternions find uses in both theoretical and applied mathematics, in particular for calculations involving three-dimensional rotations such as in three-dimensional computer graphics and computer vision. In practical applications, they can be used alongside other methods, such as Euler angles and rotation matrices, or as an alternative to them depending on the application. In modern mathematical language, quaternions form a four-dimensional associative normed division algebra over the real numbers, and therefore also a domain. In fact, the quaternions were the first noncommutative division algebra to be discovered. The algebra of quaternions is often denoted by H, or in blackboard bold by .

在英语 词典里quaternion的定义

字典中四元数的定义是一个由四个分量x = x0 + x1i + x2j + x3k组成的广义复数,其中x,x0 ... x3是实数,i²=j²=k²= -1,ij = -ji = k等

The definition of quaternion in the dictionary is a generalized complex number consisting of four components, x = x0 + x1i + x2j + x3k, where x, x0… x3 are real numbers and i² = j² = k² = –1, ij = –ji = k, etc.

点击查看«quaternion»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

QUATERNION押韵的英语 单词


Armenian
ɑːˈmiːnɪən
Athenian
əˈθiːnɪən
Bornean
ˈbɔːnɪən
Californian
ˌkælɪˈfɔːnɪən
Cameroonian
ˌkæməˈruːnɪən
eburnean
ɛˈbɜːnɪən
Fenian
ˈfiːnɪən
Ghanian
ˈɡɑːnɪən
Hibernian
haɪˈbɜːnɪən
Kiwanian
kɪˈwɑːnɪən
Magdalenian
ˌmæɡdəˈliːnɪən
Mancunian
mæŋˈkjuːnɪən
Melburnian
mɛlˈbɜːnɪən
Neptunian
nɛpˈtjuːnɪən
Oceanian
ˌəʊʃɪˈɑːnɪən
Ruthenian
ruːˈθiːnɪən
Saturnian
sæˈtɜːnɪən
Slovenian
sləʊˈviːnɪən
ternion
ˈtɜːnɪən
Tyrrhenian
tɪˈriːnɪən

QUATERNION一样开头的英语单词

quat
quatch
quatercentenaries
quatercentenary
quatercentennial
quaternaries
quaternary
quaternary ammonium compound
quaternate
quaternionist
quaternities
quaternity
Quathlamba
quatorzain
quatorze
quatrain
quatre
Quatre Bras
quatrefeuille
quatrefoil

QUATERNION一样开头的英语单词

a matter of opinion
communion
companion
credit union
customs union
dominion
European Union
Holy Communion
matter of opinion
minion
onion
opinion
pinion
public opinion
reunion
rugby union
second opinion
Soviet Union
the Union
union

英语近义词词典里quaternion的近义词和反义词

近义词

«quaternion»的25种语言翻译

翻译者
online translator

QUATERNION的翻译

通过我们的英语多语言翻译器,找到quaternion25种语言翻译
该章节所呈现的将quaternion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«quaternion»。

翻译者英语 - 中文

四元
1,325 数百万发言者

翻译者英语 - 西班牙语

cuaternión
570 数百万发言者

英语

quaternion
510 数百万发言者

翻译者英语 - 印地语

चौका
380 数百万发言者
ar

翻译者英语 - 阿拉伯语

المركب المتعدد
280 数百万发言者

翻译者英语 - 俄语

кватернионная
278 数百万发言者

翻译者英语 - 葡萄牙语

quatérnion
270 数百万发言者

翻译者英语 - 孟加拉语

চার বস্তুর সমষ্টি
260 数百万发言者

翻译者英语 - 法语

quaternion
220 数百万发言者

翻译者英语 - 马来语

Quaternion
190 数百万发言者

翻译者英语 - 德语

Quaternion
180 数百万发言者

翻译者英语 - 日语

クォータニオン
130 数百万发言者

翻译者英语 - 韩语

사원 수
85 数百万发言者

翻译者英语 - 印尼爪哇语

Quaternion
85 数百万发言者
vi

翻译者英语 - 越南语

toán qua tec non
80 数百万发言者

翻译者英语 - 泰米尔语

quaternion
75 数百万发言者

翻译者英语 - 马拉地语

चतुष्कोण
75 数百万发言者

翻译者英语 - 土耳其语

kuaternion
70 数百万发言者

翻译者英语 - 意大利语

quaternione
65 数百万发言者

翻译者英语 - 波兰语

quaternion
50 数百万发言者

翻译者英语 - 乌克兰语

кватернионами
40 数百万发言者

翻译者英语 - 罗马尼亚语

cuaternion
30 数百万发言者
el

翻译者英语 - 希腊语

quaternion
15 数百万发言者
af

翻译者英语 - 布尔语(南非荷兰语)

viertal
14 数百万发言者
sv

翻译者英语 - 瑞典语

kvaternionen
10 数百万发言者
no

翻译者英语 - 挪威语

quaternion
5 数百万发言者

quaternion的使用趋势

趋势

词语 «QUATERNION»的使用趋势

0
100%
频率
使用相当广泛
77
/100
此处所显示的地图给出了词语«quaternion»在不同国家的使用频率。
quaternion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«quaternion»的最常用表达而进行的主要搜索的列表。

词语«QUATERNION» 随时间而变化的使用频率

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

quaternion的英语文献、引用和新闻中的使用范例

示例

«QUATERNION»相关的英语书籍

在以下的参考文献中发现quaternion的用法。与quaternion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
Visualizing Quaternions
The first part of the book focuses on visualizing quaternions to provide the intuition necessary to use them, and includes many illustrative examples to motivate why they are important—a beautiful introduction to those wanting to explore ...
Andrew J. Hanson, 2006
2
Quaternion Orders, Quadratic Forms, and Shimura Curves
Shimura curves are a far-reaching generalization of the classical modular curves.
Montserrat Alsina, Pilar Bayer i Isant, 2004
3
Generalized Quaternion Algebras and Cyclic Algebras
Finally, a cyclic algebra is a noncommutative algebra of dimension n2 over F, constructed from a Galois extension E/F.
Kresimir Lovric, 2006
4
Thetheory of Groups
The quaternion group has exactly 24 automorphism*. The generalized quaternion group of order 2» has exactly 2tn- ^automorphisms for n > 3. In the automorphism group A of the quaternion group, the inner automorphisms form an abelian ...
Hans Zassenhaus, 1958
5
Mechanics of Flight
Robinson (1958) described the advantages of the Euler-Rodrigues quaternion formulation over the Euler angle or the direction-cosine formulation almost 50 years ago. Most of his observations, obtained on analog computers, are still valid in ...
Warren F. Phillips, 2004
6
Springer Handbook of Robotics
Table 1.3 Conversions from angle-axis to unit quaternion representations of orientation and vice versa Angle-axis dw to unit quaternion (fa £\ £2 ^3)T: 6() = COS | 61 = wx sin | 62 = w ,, sin | 63 = to, sin Unit quaternion ( e =2cos-' € { £2 ^3) T to ...
Bruno Siciliano, Oussama Khatib, 2008
7
Quaternion and Clifford Fourier Transforms and Wavelets
Quaternion analysis, quaternion Fourier transform, quaternion FourierIStieltjes integral, Bochner theorem. 1. Introduction In a recent paper [5], we discussed special properties of the asymptotic behaviour of the quaternion Fourier transform  ...
Eckhard Hitzer, Stephen J. Sangwine, 2013
8
The Second Chinburg Conjecture for Quaternion Fields
Therefore the case of quaternion fields is a very interesting special case. In this case the Galois group, G(N/Q), is isomorphic to the quaternion group of order eight. This group has a unique irreducible, symplectic representation. Furthermore ...
Minh Van Tran, 1996
9
Quaternions and Rotation Sequences: A Primer with ...
It might be argued that since the tracking transformation involves only two rotations, and if these two tracking angles are the conventional tracking heading and the tracking elevation, then the di component of the tracking error-quaternion may ...
Jack B. Kuipers, 2002
10
Essentials of Managed Health Care
Value Shift The most significant struggle the military managed care system has grappled with from the inception of TRICARE to the present is the careful balance between elements of Coppola's Managed Care Quaternion (MCQ)24 and ...
Peter Reid Kongstvedt, 2007

包含词语«QUATERNION»的新条目

找出国内和国际出版社所讨论的内容,以及词语quaternion在以下新条目的上下文中是如何使用的。
1
orthonormal rotation and a quaternion bijection?
Well, you need to look at the trace of the matrix when going from matrix to quaternion, and there's an invsqrt in there. If that equals zero then you are in big ... «GameDev.net, 六月 15»
2
Creating a Quaternion from a direction
I can calculate the direction the ship needs to go from the ship position and target position, however a Vector is ofc not enough since I need a Quaternion to ... «GameDev.net, 六月 15»
3
Quaternion slerp: is this correct result?
But when I slerp q0->q1 to a value between 0 and 1, the resulting quaternion has the right axis, but the angle of the rotation is not enough to bring the point all ... «GameDev.net, 五月 15»
4
Quaternion Risk Management powers the InCol Analytics Platform …
Quaternion Risk Management Limited (“Quaternion”), provider of specialised risk analytics' consultancy, services and software, is now powering InCol. «Bobsguide, 三月 15»
5
finding delta quaternion to get from quat 'A' to quat 'B'
I'm working on trying to find a quaternion I can use that is a fraction of the difference between a starting quaternion, 'A', and a destination quaternion 'B'. I am not ... «GameDev.net, 三月 15»
6
Simple question on rotation matrix and quaternions
Given a SO(3) matrix, which should equivalently produce a unit quaternion ( with the real part positive ), I cannot successfully convert the matrix to a quaternion ... «GameDev.net, 二月 15»
7
Quaternion-UBS Delta Collaborate on CVA Front
Quaternion Risk Management, the Dublin-based provider of risk management technology and services, and UBS Delta have entered an alliance to provide ... «www.waterstechnology.com, 十一月 14»
8
[SOLVED] Quaternion from direction not accurate
I used a look-at matrix and converted it to quaternion to have my look-at function but I wanted to change it to use quaternion directly. Here the actual code of the ... «GameDev.net, 十一月 14»
9
Quaternion camera flipping constantly
It looks like there are 3 different rotation matrices being generated from the quaternion, one is actually correct and the other two are flipped or black, ... «GameDev.net, 十月 14»
10
Matrix to Quaternion calculation instable
Matrix to Quaternion calculation instable. Started by RPTD, Jul 13 2014 06:55 AM. quaterion matrix. Old topic! Google, the last post of this topic is over 60 days ... «GameDev.net, 七月 14»

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