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Codifferential
UK
/ˌkəʊdɪfəˈrɛnʃəl/
US
/ˌkoʊdɪfəˈrɛnʃəl/
Translation of "codifferential" into Russian
codifferential
Noun
UK
/ˌkəʊdɪfəˈrɛnʃəl/
US
/ˌkoʊdɪfəˈrɛnʃəl/
codifferential
codifferentials pl
кодифференциал
The codifferential is an important operator in differential geometry.
Кодифференциал является важным оператором в дифференциальной геометрии.
Definitions
codifferential
Noun
UK
/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
Adjective
UK
/ˌkəʊdɪfəˈrɛnʃəl/
US
/ˌkoʊdɪfəˈrɛnʃəl/
Relating to or involving a codifferential.
The researchers developed a codifferential approach to the problem.