# Divergence

In vector calculus, the**divergence**is a vector operator that shows a vector field's tendency to originate from or converge upon certain points. For instance, in a vector field that denotes the velocity of water flowing in a draining bathtub, the divergence would have a negative value over the drain because the water flows towards the drain, but does not flow away (if we only consider two dimensions).

Mathematically, the divergence is noted by:

**F**is the vector field that the divergence operator is being applied to. Expanded, the notation looks like this:

**F**= [F

_{x}, F

_{y}, F

_{z}]

A closer examination of the pattern in the expanded divergence reveals that it can be thought of as being like a dot product between and **F** if was:

**See also:**