Codifferential
Übersetzung von "codifferential" ins Russisch
codifferential
SubstantivUK
/ˌkəʊdɪfəˈrɛnʃəl/
US
/ˌkoʊdɪfəˈrɛnʃəl/
codifferential
codifferentials Pl.
кодифференциал
The codifferential is an important operator in differential geometry.
Кодифференциал является важным оператором в дифференциальной геометрии.
Definitionen
codifferential
SubstantivUK
/ˌkəʊdɪfəˈrɛnʃəl/
US
/ˌkoʊdɪfəˈrɛnʃəl/
In mathematics, particularly in differential geometry, the codifferential is an operator that acts on differential forms, serving as the adjoint of the exterior derivative.
The codifferential is used in the Hodge decomposition theorem to analyze the properties of differential forms on a manifold.
In nonsmooth analysis, a codifferential of a (locally Lipschitz) function is an ordered pair of convex compact sets that approximates the function and generalizes the concept of a derivative.
The codifferential provides a convenient tool for optimization of nonsmooth functions.
codifferential
AdjektivUK
/ˌkəʊdɪfəˈrɛnʃəl/
US
/ˌkoʊdɪfəˈrɛnʃəl/
Relating to or involving a codifferential.
The researchers developed a codifferential approach to the problem.