"vector space"辞典での英語の意味

英語でVECTOR SPACEの発音

vector space

英語でVECTOR SPACEはどんな意味ですか？

ベクトル空間

Vector space

ベクトル空間は、ベクトルと呼ばれる要素の集合によって形成される数学的構造であり、この文脈でスカラーと呼ばれる数を足し合わせて数を掛けることができる。 スカラーはしばしば実数と見なされますが、複素数、有理数、または一般に任意のフィールドによるスカラー倍数を持つベクトル空間もあります。 ベクトル加算とスカラー倍算の演算は、下記の公理と呼ばれる特定の要件を満たさなければなりません。 ベクトル空間の例は、ユークリッド・ベクトルの例であり、力などの物理量を表すために使用することができる。任意の2つの力を加えて3番目の力を得ることができ、力ベクトルを実数乗算器で乗算することは、 。 同じように、より幾何学的な意味では、平面または3次元空間における変位を表すベクトルもベクトル空間を形成する。 ベクトル空間のベクトルは、必ずしも矢印のようなオブジェクトである必要はありません。ベクトルは、特定のプロパティを持つ抽象的な数学的オブジェクトと見なされることがあります。

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の翻訳

当社の英語多言語翻訳者が翻訳した25ヵ国語のvector spaceを探してみましょう。

自動統計翻訳によって、このセクションで示されている英語から他の言語へのvector spaceの翻訳を訳しました。この場合は、必須の翻訳単位は英語で«vector space»という単語です。

• 英語翻訳家 - 中国語: 向量空间
• 英語翻訳家 - スペイン語: espacio vectorial
• 英語: vector space
• 英語翻訳家 - ヒンディー語: वेक्टर अंतरिक्ष
• 英語翻訳家 - アラビア語: ناقلات الفضاء
• 英語翻訳家 - ロシア語: векторное пространство
• 英語翻訳家 - ポルトガル語: espaço vetorial
• 英語翻訳家 - ベンガル語: ভেক্টর স্থান
• 英語翻訳家 - フランス語: espace vectoriel
• 英語翻訳家 - マレー語: Ruang vektor
• 英語翻訳家 - ドイツ語: Vektorraum
• 英語翻訳家 - 日本語: ベクトル空間
• 英語翻訳家 - 韓国語: 벡터 공간
• 英語翻訳家 - ジャワ語: Spasi vektor
• 英語翻訳家 - ベトナム語: không gian vector
• 英語翻訳家 - タミル語: திசையன் இடம்
• 英語翻訳家 - マラーティー語: वेक्टर जागा
• 英語翻訳家 - トルコ語: Vektör uzayı
• 英語翻訳家 - イタリア語: spazio vettoriale
• 英語翻訳家 - ポーランド語: przestrzeni wektorowych
• 英語翻訳家 - ウクライナ語: векторний простір
• 英語翻訳家 - ルーマニア語: spatiu vectorial
• 英語翻訳家 - ギリシャ語: διανυσματικό χώρο
• 英語翻訳家 - アフリカーンス語: vektorruimte
• 英語翻訳家 - スウェーデン語: rymdvektor
• 英語翻訳家 - ノルウェー語: vektorrom

«VECTOR SPACE»に関連する英語の本

以下の図書目録からvector spaceの使いかたを見つけましょう。vector spaceに関する本と英語文献で使われた文脈を提供するための簡単な抜粋文。

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

用語«VECTOR SPACE»を含むニュース項目

国内外の報道機関が語った内容や、次のニュース項目の文脈からvector spaceという用語がどのように使われているかを調べてみましょう。

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, 7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, 5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, 5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, 3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, 11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, 1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, 9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, 9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, 9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, 6月 13»