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

(v.intr.) To move, or extend in different directions from a common point.
Math.: Of a sequence or series, to have no unique limit.

M.L. divergere, from → di- "apart," variant of → dis- + vergere "to bend, turn, incline," from PIE *werg- "to turn," from base *wer- "to turn, bend" (cf. L. vertere "to turn," Av. varət- "to turn," Mod.Pers. gard, gardidan "to turn," Skt. vartate "turns round, rolls," Gk. rhatane "stirrer, ladle," Ger. werden, O.E. weorðan "to become."

Verâyidan, from vâ- "apart," → de-, + gerâyidan "to incline toward; to intend; to make for," infinitive of gerâ, the etymology of which is not clear. Gerâ may be a variant of Mod.Pers. kil "bent, inclined" (k/g and l/r interchanges), from PIE base *klei- "to lean, incline," cognate with L. clinare "to bend" (E. declination, inclination, etc.), Gk. klinein "to cause to slope, slant, incline," Skt. sri- "to lean," O.Pers. θray-, Av. sray- "to lean," P.Gmc. *khlinen (Ger. lehnen, E. lean).

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.

Relating to or causing divergence. Gowing away in different directions from a common point or path.
Math.: Failing to approach a limit.

M.L. divergent-, stem of divergens pr.p. of divergere, from → di- "apart," variant of → dis- + vergere "to bend, turn, incline," from PIE *werg- "to turn," from base *wer- "to turn, bend" (cf. L. vertere "to turn," Av. var ət- "to turn," Mod.Pers. gard, gardidan "to turn," Skt. vartate "turns round, rolls," Gk. rhatane "stirrer, ladle," Ger. werden, O.E. weorðan "to become."

Vâgerâ, agent noun from vâgerâyidan, → diverge + noun suffix -i.

A lens which causes a parallel beam of light passing through it to diverge or spread out; concave lens. Same as diverging lens and → negative lens.

→ divergent; → lens.