divergence واگرایی vâgerâyi (#) Fr.: divergence The act, fact, or amount of diverging.
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.
Etymology (EN): From diverge, → diverge, + -ence a noun suffix. Etymology (PE): Vâgerâyi, from vâgerâ stem of vâgerâyidan,
→ diverge, + noun suffix -i. |
