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What (who) is Quotient space (linear algebra) - definition
VECTOR SPACE CONSISTING OF AFFINE SUBSETS
Linear quotient space; Quotient vector space
Quotient space (linear algebra)
In linear algebra, the quotient of a vector space V by a subspace N is a vector space obtained by "collapsing" N to zero. The space obtained is called a quotient space and is denoted V/N (read "V mod N" or "V by N").
Quotient (universal algebra)
CONSTRUCTION IN UNIVERSAL ALGEBRA
Congruence lattice; Compatible operation; Maltsev variety; Maltsev conditions; Quotient algebra (universal algebra)
In mathematics, a quotient algebra is the result of partitioning the elements of an algebraic structure using a congruence relation.
linear space
![planes]] (green and yellow).](https://commons.wikimedia.org/wiki/Special:FilePath/Linear subspaces with shading.svg?width=200 "planes]] (green and yellow).")
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)
Wikipedia
Quotient space (linear algebra)
In linear algebra, the quotient of a vector space V by a subspace N is a vector space obtained by "collapsing" N to zero. The space obtained is called a quotient space and is denoted V/N (read "V mod N" or "V by N").
