vector space - meaning and definition. What is vector space
Diclib.com
ChatGPT AI Dictionary
Dictionary Lookup Custom Solutions
Enter a word or phrase in any language 👆
Language:

Translation and analysis of words by ChatGPT artificial intelligence

On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:

  • how the word is used
  • frequency of use
  • it is used more often in oral or written speech
  • word translation options
  • usage examples (several phrases with translation)
  • etymology
  1. Dictionaries
  2. English dictionary
  3. vector space

What (who) is vector space - definition


Vector space         
  • Addition of functions: the sum of the sine and the exponential function is <math>\sin+\exp:\R\to\R</math> with <math>(\sin+\exp)(x)=\sin(x)+\exp(x)</math>.
  • planes]] (green and yellow).
  • 2'''w'''}} are shown.
  • '''w'''}} (red) is shown.
  • ''y''}} yields an isomorphism of vector spaces.
  • 200px
THE BASIC ALGEBRAIC STRUCTURE OF LINEAR ALGEBRA; A MODULE OVER A FIELD, SUCH THAT ITS ELEMENTS CAN BE ADDED TOGETHER OR SCALED BY ELEMENTS OF THE FIELD
VectorSpaces; Vector Space; Linear space; Vector theory; Vector spaces; Vectorspace; Real vector space; Complex vector space; Coordinate space; Coordinate vector space; Coordinate linear space; Linear coordinate space; Abstract vector space; Complex Vector Spaces; Field of scalars; Complex vector; Real vector; Vectors and Scalars; Vectorial space; Vectorial Space; Linear vector space; Space-vector; Space vector; General vector space; Several variables; Vector line; Vector plane; Vector hyperplane; Applications of vector spaces; Vector space over a field
In mathematics, physics, and engineering, a vector space (also called a linear space) is a set whose elements, often called vectors, may be added together and multiplied ("scaled") by numbers called scalars. Scalars are often real numbers, but can be complex numbers or, more generally, elements of any field.
https://en.wikipedia.org/wiki/Vector_space
vector space         
  • Addition of functions: the sum of the sine and the exponential function is <math>\sin+\exp:\R\to\R</math> with <math>(\sin+\exp)(x)=\sin(x)+\exp(x)</math>.
  • planes]] (green and yellow).
  • 2'''w'''}} are shown.
  • '''w'''}} (red) is shown.
  • ''y''}} yields an isomorphism of vector spaces.
  • 200px
THE BASIC ALGEBRAIC STRUCTURE OF LINEAR ALGEBRA; A MODULE OVER A FIELD, SUCH THAT ITS ELEMENTS CAN BE ADDED TOGETHER OR SCALED BY ELEMENTS OF THE FIELD
VectorSpaces; Vector Space; Linear space; Vector theory; Vector spaces; Vectorspace; Real vector space; Complex vector space; Coordinate space; Coordinate vector space; Coordinate linear space; Linear coordinate space; Abstract vector space; Complex Vector Spaces; Field of scalars; Complex vector; Real vector; Vectors and Scalars; Vectorial space; Vectorial Space; Linear vector space; Space-vector; Space vector; General vector space; Several variables; Vector line; Vector plane; Vector hyperplane; Applications of vector spaces; Vector space over a field
<mathematics> An additive group on which some (scalar) field has an associative multiplicative action which distributes over the addition of the vector space and respects the addition of the (scalar) field: for vectors u, v and scalars h, k; h(u+v) = hu + hv; (h+k)u = hu + ku; (hk)u = h(ku). [Simple example?] (1996-09-30)
linear space         
  • Addition of functions: the sum of the sine and the exponential function is <math>\sin+\exp:\R\to\R</math> with <math>(\sin+\exp)(x)=\sin(x)+\exp(x)</math>.
  • planes]] (green and yellow).
  • 2'''w'''}} are shown.
  • '''w'''}} (red) is shown.
  • ''y''}} yields an isomorphism of vector spaces.
  • 200px
THE BASIC ALGEBRAIC STRUCTURE OF LINEAR ALGEBRA; A MODULE OVER A FIELD, SUCH THAT ITS ELEMENTS CAN BE ADDED TOGETHER OR SCALED BY ELEMENTS OF THE FIELD
VectorSpaces; Vector Space; Linear space; Vector theory; Vector spaces; Vectorspace; Real vector space; Complex vector space; Coordinate space; Coordinate vector space; Coordinate linear space; Linear coordinate space; Abstract vector space; Complex Vector Spaces; Field of scalars; Complex vector; Real vector; Vectors and Scalars; Vectorial space; Vectorial Space; Linear vector space; Space-vector; Space vector; General vector space; Several variables; Vector line; Vector plane; Vector hyperplane; Applications of vector spaces; Vector space over a field
<mathematics> A vector space where all linear combinations of elements are also elements of the space. This is easy for spaces of numbers but not for a space of functions. Roughly, this is to say that multiplication by numbers, and addition of elements is defined in the space. (2000-03-10)
Dictionary Lookup
All dictionaries Arabic dictionary Dutch dictionary English dictionary English-Arabic dictionary English-Dutch dictionary English-French dictionary English-German dictionary English-Greek dictionary English-Italian dictionary English-Russian dictionary English-Spanish dictionary French dictionary French-Russian Dictionary German dictionary Greek dictionary Italian dictionary Italian-Russian Dictionary Latin-Portuguese dictionary Latin-Spanish dictionary Portuguese dictionary Portuguese-Russian Dictionary Russian dictionary Spanish dictionary
AI-generated
English Russian Spanish Portuguese German French Greek Dutch Italian Arabic
Interface language
Русский English Español Português Deutsch Français Ελληνικά Nederlands Italiano عربي
Contacts
Contact Us



Privacy
Privacy Policy