O que (quem) é vector space - definição

Vector space

$Addition of functions: the sum of the sine and the exponential function is <math>\sin+\exp:\R\to\R</math> with <math>(\sin+\exp)(x)=\sin(x)+\exp(x)</math>.$

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

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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

$Addition of functions: the sum of the sine and the exponential function is <math>\sin+\exp:\R\to\R</math> with <math>(\sin+\exp)(x)=\sin(x)+\exp(x)</math>.$

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

<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

$Addition of functions: the sum of the sine and the exponential function is <math>\sin+\exp:\R\to\R</math> with <math>(\sin+\exp)(x)=\sin(x)+\exp(x)</math>.$

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

<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)

Exemplos de pronúncia para vector space

1. living in this giant dimensional vector space.

Something Deeply Hidden _ Sean Carroll _ Talks at Google

2. a vector space, of where it is emotionally.

ted-talks_355_RodneyBrooks_2003-320k