Examples of 'is a vector space' in a sentence

Meaning of "is a vector space"

is a vector space ~ a mathematical concept in linear algebra where a set of vectors satisfies certain properties such as closure under addition and scalar multiplication. This phrase is used in the context of mathematical discussions or explanations

How to use "is a vector space" in a sentence

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is a vector space
W is called a linear code because it is a vector space.
If the object is a vector space we have a linear representation.
Show directly this is a vector space.
Is a vector space over the field of real numbers.
This property can be used to prove that a field is a vector space.
G is a vector space over the adeles of a number field or global field.
In some model in which there is a vector space with two bases of different cardinalities.
Is a vector space isomorphism.
Recall that the space Os of functions of is a vector space with the norm.
It is a vector space itself.
Here K is a field and S is a vector space over that field.
We are going to define in a formal way, an abstract way, what is a vector space.
The end result is a vector space in which the gender bias is significantly reduced.
For a given factor of automorphy, the space of automorphic forms is a vector space.
A sequence space is a vector space whose elements are infinite sequences of real or complex numbers.

See also

In all models of ZF ¬ C there is a vector space with no basis.
This is a vector space of dimension 9.
It is important to note, however, that this is a vector space grading only.
A n-ary algebra is a vector space with a multiplication on n arguments.
In the case of permutation groups, X is a set ; for matrix groups, X is a vector space.
Thus P n is a vector space.
Provided with the first and third relationship, E is a vector space on K ;.
Informally, an affine space is a vector space without a fixed choice of origin.
The Cartesian plane R2 is a vector space equipped with a basis consisting of a pair of unit vectors.
The set of morphisms, i.e., linear maps, is a vector space in its own right.
Note that HQB ( n ) is a vector space over the complex numbers of dimension 2n.
The tangent space at each event is a vector space of the same dimension as spacetime, 4.
The set H of all quaternions is a vector space over the real numbers with dimension 4.
A Complex Vector Space is a vector space over the field of complex numbers $ \ mathbb { C } $.

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