n. The act or state of diverging, or moving or pointing in different directions (not directly opposed) from a common point; a receding one from another: opposed to convergence: as, the divergence of lines.n. n. Departure from a course or standard; differentiation in action or character; deviation: as, the divergence of religious sects; divergence from rectitude.n. In mathematics, the negative of the scalar part of the result of operating with the Hamiltonian operator upon a vector function.n. In botany, gradual separation during the process of lengthening, as in the pods of Asclepias.