在"英语"词典里vector space}的意思

在英语中VECTOR SPACE的发音

vector space

VECTOR SPACE在英语中的意思是什么？

矢量空间

Vector space

向量空间是由称为向量的元素的集合形成的数学结构，其可以被加在一起并乘以数字，在该上下文中称为标量。 标量通常被认为是实数，但也有通过复数，有理数或通常任何字段的标量乘法的向量空间。 矢量加法和标量乘法的运算必须满足以下列出的一些要求，称为公理。 向量空间的一个例子是欧几里德向量的一个例子，它可以用来表示物理量，如力：任何两个力可以被加入以产生三分之一，并且力向量乘以一个实数乘数是另一个力向量 。 同样地，在更几何意义上，表示平面或三维空间中的位移的矢量也形成向量空间。 向量空间中的向量不一定必须是箭头状的对象，因为它们出现在所提到的示例中：向量最好被认为是具有特定属性的抽象数学对象，在某些情况下，它们可以被可视化为箭头。

A vector space is a mathematical structure formed by a collection of elements called vectors, which may be added together and multiplied by numbers, called scalars in this context. Scalars are often taken to be real numbers, but there are also vector spaces with scalar multiplication by complex numbers, rational numbers, or generally any field. The operations of vector addition and scalar multiplication must satisfy certain requirements, called axioms, listed below. An example of a vector space is that of Euclidean vectors, which may be used to represent physical quantities such as forces: any two forces can be added to yield a third, and the multiplication of a force vector by a real multiplier is another force vector. In the same vein, but in a more geometric sense, vectors representing displacements in the plane or in three-dimensional space also form vector spaces. Vectors in vector spaces do not necessarily have to be arrow-like objects as they appear in the mentioned examples: vectors are best thought of as abstract mathematical objects with particular properties, which in some cases can be visualized as arrows.

VECTOR SPACE的翻译

通过我们的英语多语言翻译器,找到vector space的25种语言翻译

该章节所呈现的将vector space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«vector space»。

• 翻译者英语 - 中文: 向量空间
• 翻译者英语 - 西班牙语: espacio vectorial
• 英语: vector space
• 翻译者英语 - 印地语: वेक्टर अंतरिक्ष
• 翻译者英语 - 阿拉伯语: ناقلات الفضاء
• 翻译者英语 - 俄语: векторное пространство
• 翻译者英语 - 葡萄牙语: espaço vetorial
• 翻译者英语 - 孟加拉语: ভেক্টর স্থান
• 翻译者英语 - 法语: espace vectoriel
• 翻译者英语 - 马来语: Ruang vektor
• 翻译者英语 - 德语: Vektorraum
• 翻译者英语 - 日语: ベクトル空間
• 翻译者英语 - 韩语: 벡터 공간
• 翻译者英语 - 印尼爪哇语: Spasi vektor
• 翻译者英语 - 越南语: không gian vector
• 翻译者英语 - 泰米尔语: திசையன் இடம்
• 翻译者英语 - 马拉地语: वेक्टर जागा
• 翻译者英语 - 土耳其语: Vektör uzayı
• 翻译者英语 - 意大利语: spazio vettoriale
• 翻译者英语 - 波兰语: przestrzeni wektorowych
• 翻译者英语 - 乌克兰语: векторний простір
• 翻译者英语 - 罗马尼亚语: spatiu vectorial
• 翻译者英语 - 希腊语: διανυσματικό χώρο
• 翻译者英语 - 布尔语(南非荷兰语): vektorruimte
• 翻译者英语 - 瑞典语: rymdvektor
• 翻译者英语 - 挪威语: vektorrom

与 «VECTOR SPACE»相关的英语书籍

在以下的参考文献中发现vector space的用法。与vector space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。

A Vector Space Approach to Geometry

The effects of geometry and linear algebra on each other receive close attention in this examination of geometry’s correlation with other branches of math and science.

Melvin Hausner, 2012

Optimization by Vector Space Methods

Nearly 30 years after its initial publication, this book is still among the most frequently cited sources in books and articles on financial optimization.

David G. Luenberger, 1969

Finite Dimensional Vector Spaces

The book brought him instant fame as an expositor of mathematics. Finite Dimensional Vector Spaces combines algebra and geometry to discuss the three-dimensional area where vectors can be plotted.

Paul R. Halmos, 1947

Vector Space Projections: A Numerical Approach to Signal and ...

This book: * Reviews the fundamentals of vector space theory * Covers principles and applications of vector space projections in general, and projections onto convex sets in particular * Provides real-world examples solvable on PCs and ...

Henry Stark, Yongyi Yang, 1998

Engineering analysis: a vector space approach

This text develops a repertoire of analytical tools related to linear spaces, linear transformations, and linear systems, providing students with the facility to investigate new theoretical concepts in several engineering specialties.

Robert Joseph Schilling, Hua Lee, 1988

Linear Representations of Partially Ordered Sets and Vector ...

This volume provides an elementary yet comprehensive introduction to representations of partially ordered sets and bimodule matrix problems, and their use in representation theory of algebras.

Daniel Simson, 1993

Elementary Linear Algebra: Applications Version

It is possible for one vector space to be contained within another. We will explore this idea in this section, we will discuss how to recognize such vector spaces, and we will give a variety of examples that will be used in our later work. We will ...

Howard Anton, Chris Rorres, 2010

Multivariate statistics: a vector space approach

Building from his lecture notes, Eaton (mathematics, U. of Minnesota) has designed this text to support either a one-year class in graduate-level multivariate courses or independent study.

Morris L. Eaton, 1983

Topological Vector Spaces

PRELIMINARY TEXT : DO NOT USE This book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra.

H.H. Schaefer, Manfred P. H. Wolff, 1999

Graph Classification and Clustering Based on Vector Space ...

This book is concerned with a fundamentally novel approach to graph-based pattern recognition based on vector space embedding of graphs.

Kaspar Riesen, Horst Bunke, 2010

包含词语«VECTOR SPACE»的新条目

找出国内和国际出版社所讨论的内容，以及词语vector space在以下新条目的上下文中是如何使用的。

EC Glass students learn to build, fly drone

Jack Riffee flies a drone with the help of Ben Clark of 323 Unmanned Flight Services on Thursday as part of Vector Space's class offered to high school students ... «Lynchburg News and Advance, 七月 15»

Doing natural language processing with neural nets without the high …

“I can subtract vectors, I can rotate the vectors, I can look at how far one vector is from another. So by embedding these words into a vector space, we can ... «CIO Australia, 五月 15»

Balloon launch aims to raise student awareness of science and …

The team designed and built their capsule as a part of the Global Space .... Vector Space is a nonprofit maker space in Lynchburg for people interested in ... «Lynchburg News and Advance, 五月 15»

Ravens Offensive Lineman John Urschel Explains His Mathematics …

Now, let's look at the word vector. This definition can be tough. Formally in mathematics, a vector is an element of something called a vector space. «Forbes, 三月 15»

Showing axioms hold for a set of objects that becomes a vectorspace

e) Show that Axiom 10 fails and hence that V is not a vector space under the given operations. Answer: Axiom 10 fails because the scalar 1 does not exist in V, ... «GameDev.net, 十一月 14»

Web Semantics: Language as vector space mathematics

*Makes one wonder what it would sound like to simply speak vector space mathematics aloud, rather than bothering with human language. «Wired, 一月 14»

Language Translation: A Problem of Vector Space Mathematics

The set of all the relationships, the so-called “language space”, can be thought of as a set of vectors that each point from one word to another. And in recent ... «Science 2.0, 九月 13»

Google's robot army learns Spanish

The system works by visualizing the vectors of individual words, then ... animal smaller than a dog), there is often a strong similarity between the vector spaces.". «Register, 九月 13»

How Google Has Turned Language Translation into a Math Problem

The neat thing is that the technique doesn't really make any assumptions about the languages involved, it just interrogates the way vector space are related to ... «Gizmodo, 九月 13»

An Artist Sculpts Rooms Using Vectors Of Light

Haebich's latest work, Vector Space, purposes all kinds of lasers to create large, echoing rooms out of nothing but light, shadow, and lots and lots of smoke. «Co.Design, 六月 13»