 Given a vector field "V" and a curve γ, parametrized by "t" in ["a", "b"] (where "a" and "b" are real numbers), the line integral is defined as

The divergence of a vector field on Euclidean space is a function (or scalar field).In three-dimensions, the divergence is defined by

with the obvious generalization to arbitrary dimensions.The divergence at a point represents the degree to which a small volume around the point is a source or a sink for the vector flow, a result which is made precise by the divergence theorem.