See Also: vector space(encyclopedia)
Generalized Vector Space Model(law)
space medicine(medicine)
Herbal medicine (botanical medicine, herbology, phytomedicine)(health)
Isospora(medicine)
Isospora canis(medicine)
Isospora felis(medicine)
Isospora rivolta(medicine)
Isospora suis(medicine)
Isospora bigemina(medicine)

Isospora canis (medicine) and vector space (sh)


Isospora canis (medicine)


Isospora canis


A species of worldwide distribution that is mildly pathogenic in dogs and is not infective in cats.


vector space (sh)




In mathematics, a collection of objects called vectors, together with a field of objects (see field theory), known as scalars, that satisfy certain properties.

The properties that must be satisfied are: (1) the set of vectors is closed under vector addition; (2) multiplication of a vector by a scalar produces a vector in the set; (3) the associative law holds for vector addition, u + (v + w) = (u + v) + w; (4) the commutative law holds for vector addition, u + v = v + u; (5) there is a 0 vector such that v + 0 = v; (6) every vector has an additive inverse (see inverse function), v + (-v) = 0; (7) the distributive law holds for scalar multiplication over vector addition, n(u + v) = nu + nv; (8) the distributive law also holds for vector multiplication over scalar addition, (m + n)v = mv + nv; (9) the associative law holds for scalar multiplication with a vector, (mn)v = m(nv); and (10) there exists a unit vector 1 such that 1v = v. The set of all polynomials in one variable with real coefficients is an example of a vector space.