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.
All this definition is saying is that a vector field is conservative if it is also a gradient vector field for some function. For instance the vector field is a conservative vector field with a potential function of because. On the other hand, is not a conservative vector field since there is no function f such that. If youâre not sure that you believe this at this point be patient, we will be able to prove this in a couple of sections.