An Etymological Dictionary of Astronomy and Astrophysics
English-French-Persian

1) The act, fact, or amount of diverging.
2) Math.: A differential → operator that, for a three-dimensional vector function F(x,y,z), is the sum of the → scalar products of the unit vectors and the partial derivatives in each of the three component directions. It is written as div F or ∇ . F = (∂F/∂x)i + (∂F/∂y)j + (∂F/∂z)k, ∇ being the → del operator or → nabla. The divergence of a vector field is a → scalar field. In physics, this operator is used to derive the amount of flux per unit volume leaving an infinitesimal element of volume at a point in a vector field. For example, in an electrostatic field, the divergence of the field is zero unless the volume element contains an electric charge.

From diverge, → diverge, + -ence a noun suffix.

Vâgerâyi, from vâgerâ stem of vâgerâyidan, → diverge, + noun suffix -i.

Same as → Gauss's theorem.

→ divergence; → theorem.