In vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the rate that the vector field alters the volume in an infinitesimal …

Dec 11, 2025 · In this section, we examine two important operations on a vector field: divergence and curl. They are important to the field of calculus for several reasons, including the use of …

Dec 22, 2025 · This property is fundamental in physics, where it goes by the name "principle of continuity." When stated as a formal theorem, it is called the divergence theorem, also known …

Divergence is an operation on a vector field that tells us how the field behaves toward or away from a point. Locally, the divergence of a vector field F in R 2 or R 3 at a particular point P is a …

Divergence (div) is “flux density”—the amount of flux entering or leaving a point. Think of it as the rate of flux expansion (positive divergence) or flux contraction (negative divergence).

/ dɪˈvɜrdʒəns / Add to word list a situation in which two things become different, or the difference between them increases: a divergence of opinion

A difference between or among items: "riven as the country was with competing interests and a wide divergence of incomes and ambitions" (James Conaway). See Synonyms at difference.

The meaning of DIVERGENCE is a drawing apart (as of lines extending from a common center).

Divergence is a property exhibited by limits, sequences, and series. A series is divergent if the sequence of its partial sums does not tend toward some limit; in other words, the limit either …

The Divergence of v, is a combination of these of particular importance; it is a scalar function; it is defined as the dot product of the vector operator or equivalently with the vector v.