An architect accepts a commission from a client. The commission might involve preparing feasibility reports, building audits, the design of a building or of several buildings, structures, and the spaces among them. The architect participates in developing the requirements the client wants in the building.
Dimension (vector space) In mathematics, the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V over its base field. For every vector space there exists a basis, and all bases of a vector space have equal cardinality; as a result, the dimension of a vector space is uniquely defined.
A normed vector space is a pair (V, âÂ·â) where V is a vector space and âÂ·â a norm on V.A seminormed vector space is a pair (V, p) where V is a vector space and p a seminorm on V.imilarly, for any semi-normed vector space we can define the distance between two vectors u and v as â u â v â. This turns the seminormed space into a pseudometric space (notice this is weaker than a metric) and allows the definition of notions such as continuity and convergence.