I take the term 'number' in this context to mean the scalars by which vectors may be multiplied. These can be the elements of any field.
Rational dimension refers to the dimension of a vector space over the field of rational numbers. It is the minimum number of linearly independent vectors needed to span the entire vector space. The rational dimension can differ from the ordinary dimension of a vector space if the vectors are over a field other than the rational numbers.
There does not seem to be an under vector room, but there is vector space. Vector space is a structure that is formed by a collection of vectors. This is a term in mathematics.
Vector spaces can be formed of vector subspaces.
It is an integral part of the vector and so is specified by the vector.
An affine space is a vector space with no origin.
if you take a vector (= group of numbers) and you divide it by a scalar (=one number) then you get a vector (=group of numbers)
due to space vector modulation we can eliminate the lower order harmonics
No, a vector space cannot consist of exactly two distinct vectors. A vector space must include the zero vector and be closed under vector addition and scalar multiplication. If there are only two distinct vectors, one must be the zero vector, and the other must be a scalar multiple of it, which contradicts the requirement for distinct vectors. Thus, a vector space must contain infinitely many vectors.
A vector has magnitude, which represents its length or size, and direction, which indicates where the vector points in space.
Vector spaces should be homgeneous, namely have all on one type vector E or H. E= zH is the relationship between E and H, where z is the free space impedance. E +iH is like adding volts and amperes.
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space vector modulation id an algorithm of the control of the control of pulse width modulation