vector field

A vector field is a function that assigns a vector to each point . The gradient is an example of a vector field. To understand the rate of change of a vector field, there are two basic quantities: divergence and curl. Divergence describes how much a field shrink/expand and curl describes how much is the field spinning.

In 2D and 3D, a vector field is often written as

where , , are scalar functions

Index

• conservative vector field
• line integral
• curl - how much is a vector field rotating
• divergence - volume density of outward flux of a vector field