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在"英语"词典里non-Euclidean geometry}的意思

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英语中NON-EUCLIDEAN GEOMETRY的发音

non-Euclidean geometry play
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NON-EUCLIDEAN GEOMETRY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

NON-EUCLIDEAN GEOMETRY在英语中的意思是什么?

点击查看«non-Euclidean geometry»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
non-Euclidean geometry

非欧几里德几何

Non-Euclidean geometry

在数学中,非欧几里德几何由基于与规定欧几里德几何密切相关的公理的两个几何组成。 由于欧几里德几何位于度量几何和仿射几何的交集处,当度量要求松弛或平行假设被放在一边时,就会出现非欧几里德几何。 在后一种情况下,获得双曲线几何和椭圆几何,传统的非欧几何几何。 当度量要求被放宽时,则存在与平面代数相关联的仿射平面,其产生也被称为非欧几里德几何的运动学几何形状。 公制几何之间的本质区别是平行线的性质。 欧几里德的第五个假设,平行的假设,相当于Playfair的假设,其中指出,在二维平面内,对于任何给定的行l和不在l上的点A,通过A有正好一行 不相交ℓ。 In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises when either the metric requirement is relaxed, or the parallel postulate is set aside. In the latter case one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries. When the metric requirement is relaxed, then there are affine planes associated with the planar algebras which give rise to kinematic geometries that have also been called non-Euclidean geometry. The essential difference between the metric geometries is the nature of parallel lines. Euclid's fifth postulate, the parallel postulate, is equivalent to Playfair's postulate, which states that, within a two-dimensional plane, for any given line and a point A, which is not on , there is exactly one line through A that does not intersect .

在英语 词典里non-Euclidean geometry的定义

字典中的非欧几里德几何的定义是现代几何的分支,其中欧几里德几何的某些公理重述。 它引入了空间概念的根本性变化。

The definition of non-Euclidean geometry in the dictionary is the branch of modern geometry in which certain axioms of Euclidean geometry are restated. It introduces fundamental changes into the concept of space.

点击查看«non-Euclidean geometry»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

NON-EUCLIDEAN GEOMETRY一样开头的英语单词

non-affiliated
non-B hepatitis
non-Catholic
non-Christian
non-com
non-cooperative
non-dairy
non-disabled
non-dom
non-EU
non-greasy
non-hero
non-Hodgkin´s lymphoma
non-impact printer
non-Jew
non-Jewish
non-league
non-malignant
non-manual worker
non-Muslim

NON-EUCLIDEAN GEOMETRY一样开头的英语单词

altimetry
anthropometry
astrometry
asymmetry
audiometry
biometry
calorimetry
cytometry
geometry
morphometry
optometry
poetry
psychometry
spectrometry
spectrophotometry
stoichiometry
supersymmetry
symmetry
telemetry
trigonometry
velocimetry

英语近义词词典里non-Euclidean geometry的近义词和反义词

近义词

«non-Euclidean geometry»的25种语言翻译

翻译者
online translator

NON-EUCLIDEAN GEOMETRY的翻译

通过我们的英语多语言翻译器,找到non-Euclidean geometry25种语言翻译
该章节所呈现的将non-Euclidean geometry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«non-Euclidean geometry»。

翻译者英语 - 中文

非欧几何
1,325 数百万发言者

翻译者英语 - 西班牙语

geometría no euclidiana
570 数百万发言者

英语

non-Euclidean geometry
510 数百万发言者

翻译者英语 - 印地语

गैर इयूक्लिडियन ज्यामिति
380 数百万发言者
ar

翻译者英语 - 阿拉伯语

غير الهندسة الإقليدية
280 数百万发言者

翻译者英语 - 俄语

неевклидовой геометрии
278 数百万发言者

翻译者英语 - 葡萄牙语

geometria não-euclidiana
270 数百万发言者

翻译者英语 - 孟加拉语

অ ইইউ
260 数百万发言者

翻译者英语 - 法语

géométrie non-euclidienne
220 数百万发言者

翻译者英语 - 马来语

Bukan EU
190 数百万发言者

翻译者英语 - 德语

nicht-euklidische Geometrie
180 数百万发言者

翻译者英语 - 日语

非ユークリッド幾何学
130 数百万发言者

翻译者英语 - 韩语

비 유클리드 기하학
85 数百万发言者

翻译者英语 - 印尼爪哇语

Non-EU
85 数百万发言者
vi

翻译者英语 - 越南语

hình học phi Euclid
80 数百万发言者

翻译者英语 - 泰米尔语

அல்லாத ஐரோப்பிய ஒன்றிய
75 数百万发言者

翻译者英语 - 马拉地语

गैर-युरोपियन युनियन
75 数百万发言者

翻译者英语 - 土耳其语

AB dışı
70 数百万发言者

翻译者英语 - 意大利语

geometria non euclidea
65 数百万发言者

翻译者英语 - 波兰语

Geometria euklidesowa nie -
50 数百万发言者

翻译者英语 - 乌克兰语

неевклідової геометрії
40 数百万发言者

翻译者英语 - 罗马尼亚语

euclidian non- geometrie
30 数百万发言者
el

翻译者英语 - 希腊语

μη - Ευκλείδεια γεωμετρία
15 数百万发言者
af

翻译者英语 - 布尔语(南非荷兰语)

nie- Euklidiese meetkunde
14 数百万发言者
sv

翻译者英语 - 瑞典语

icke- euklidiska geometrin
10 数百万发言者
no

翻译者英语 - 挪威语

ikke- euklidsk geometri
5 数百万发言者

non-Euclidean geometry的使用趋势

趋势

词语 «NON-EUCLIDEAN GEOMETRY»的使用趋势

0
100%
频率
很少使用
47
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此处所显示的地图给出了词语«non-Euclidean geometry»在不同国家的使用频率。
non-Euclidean geometry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«non-Euclidean geometry»的最常用表达而进行的主要搜索的列表。

词语«NON-EUCLIDEAN GEOMETRY» 随时间而变化的使用频率

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

non-Euclidean geometry的英语文献、引用和新闻中的使用范例

示例

«NON-EUCLIDEAN GEOMETRY»相关的英语书籍

在以下的参考文献中发现non-Euclidean geometry的用法。与non-Euclidean geometry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
Non-Euclidean Geometry
It surveys real projective geometry, and elliptic geometry. After this the Euclidean and hyperbolic geometries are built up axiomatically as special cases. This is essential reading for anybody with an interest in geometry.
H. S. M. Coxeter, 1998
2
Introductory Non-Euclidean Geometry
This fine and versatile introduction to non-Euclidean geometry is appropriate for both high-school and college classes.
Henry Parker Manning, 2013
3
Euclidean and Non-Euclidean Geometry: An Analytic Approach
This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.
Patrick J. Ryan, Ryan, 2009
4
Non-Euclidean Geometry
This is an excellent historical and mathematical view by a renowned Italian geometer of the geometries that have risen from a rejection of Euclid's parallel postulate.
Roberto Bonola, 2012
5
Taxicab Geometry: An Adventure in Non-Euclidean Geometry
Develops a simple non-Euclidean geometry and explores some of its practical applications through graphs, research problems, and exercises. Includes selected answers.
Eugene F. Krause, 1986
6
The History of Non-Euclidean Geometry: Evolution of the ...
This book is an investigation of the mathematical and philosophical factors underlying the discovery of the concept of noneuclidean geometries, and the subsequent extension of the concept of space.
Borís Abramovítsj Rozenfeld, 1988
7
The Fourth Dimension and Non-Euclidean Geometry in Modern Art
During the first three decades of this century, the concept of the fourth dimension had a liberating effect on artists in nearly every important movement, from French Cubism to Surrealism.
Linda Dalrymple Henderson, 1983
8
Non-Euclidean Geometry
A short history of geometry precedes a systematic exposition of the principles of non-Euclidean geometry.
Stefan Kulczycki, 2012
9
The Elements of Non-Euclidean Geometry
This volume became the standard text in the field almost immediately upon its original publication.
D. M.Y. Sommerville, 2012
10
János Bolyai, Non-Euclidean Geometry, and the Nature of Space
An account of the major work of Janos Bolyai, a nineteenth-century mathematician who set the stage for the field of non-Euclidean geometry.
Jeremy Gray, 2004

包含词语«NON-EUCLIDEAN GEOMETRY»的新条目

找出国内和国际出版社所讨论的内容,以及词语non-Euclidean geometry在以下新条目的上下文中是如何使用的。
1
Is there such thing as the beginning and end of time?
... former professor, noticed the spacetime interval resembled a weird version of a “distance” formula called the “non-Euclidean geometry”. «New Statesman, 七月 15»
2
Art review: The Amazing World of MC Escher
He used his amazing technical skills, his interests in non-Euclidean geometry and his brother's professional achievements in crystallography to ... «Scotsman, 七月 15»
3
Your mom was wrong: Do talk to strangers
The guy I talked to had invented a non-Euclidean geometry, he said, and his spare but complicated circle made of recycled wood was an ... «San Francisco Chronicle, 七月 15»
4
Ini Dia Para Tokoh Ilmuwan Muslim Yang Dilupakan Dunia
... Ilm al-Kalam, Islamic Philosophy, Astronomy, Mathematics, Chemistry, Biology and Medicine, Physics, Non-Euclidean Geometry, Science. «HARIANACEH.co.id, 七月 15»
5
Mathematical Thinking, Turing on Imitation Game, Retro Gaming in …
... Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, ... «O'Reilly Radar, 七月 15»
6
How to make Kauffman Stadium more like Minute Maid Park
Outfield walls are comprised of non-Euclidean geometry. When viewed from the right angle, the face of Freddie Patek emerges. From a different ... «Royals Review, 七月 15»
7
Gaming: Nissan's Le Mans racer hits GT6
The aero package boasts the kind of unknowable, non-Euclidean geometry of which HP Lovecraft would be proud. Gaping tunnels that run the ... «Top Gear, 六月 15»
8
Challenge and Abstract Narrative in Adventure Games
Here, the player is dropped into a maze of non-Euclidean geometry. Gated paths are made of white walls, colored blocks, and passages that ... «PopMatters, 五月 15»
9
We are the Hare: “The Incredible Superfets” Review
From here, the story's shape takes on some kind of non-Euclidean geometry. There are science fiction elements, industrial accidents, ... «Emertainment Monthly, 四月 15»
10
Got Character? Baptism and Consecrated Life
... she favors non-euclidean geometry; every class we'd have the same fascinating discussion about underlying mathematical theory, but we'd ... «Patheos, 四月 15»

参考文献
« EDUCALINGO. Non-Euclidean geometry [在线]. 可用 <https://educalingo.com/zh/dic-en/non-euclidean-geometry>. 五月 2024 ».
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