Letâs take a look at some answers: 1  Architecture roles are generally differentiated by some level of solution-specific expertise in one area or another. 2  This could involve methodology, toolsets, skill sets or even industry domain knowledge.
Definition. A vector field on two (or three) dimensional space is a function that assigns to each point (or) a two (or three dimensional) vector given by (or). That may not make a lot of sense, but most people do know what a vector field is, or at least theyâve seen a sketch of a vector field.
5.1.1 Definition: A vector space V over a field is a nonempty set together with two functions (u, v) , called addition, from V V to V and, called scalar multiplication, from V to V with the following properties: (i) v + u = u + v, u V. (ii) v + (u + w) = (v + u) + w, w V. (iii) There exist an element 0 V such that 0 + v = v + 0 = v u V.