Dictionary

subdifferentiation en · NOUN

Etymology

Etymology tree Proto-Indo-European *upó Proto-Italic *supo Latin sub Latin sub-der. English sub- Proto-Indo-European *dwóh₁ ▲ Proto-Indo-European *trísinflu. Proto-Indo-European *d(w)is- Proto-Italic *dis- Latin dis- Proto-Indo-European *bʰer- Proto-Indo-European *-eti Proto-Indo-European *bʰéreti Proto-Italic *ferō Latin ferō Latin differō Latin differēns Proto-Indo-European *-(i)yós Proto-Italic *-ijos Proto-Italic *-ios Old Latin -ios Latin -ius Latin -ia Latin differentia New Latin differentiō New Latin differentiātusbor. English differentiate Proto-Indo-European *-tis Proto-Indo-European *-Hō Proto-Indo-European *-tiHō Proto-Italic *-tiō Latin -tiō Latin -ātiōlbor. Old French -ationbor. Middle English -acioun English -ation English -ion English differentiation English subdifferentiation From sub- + differentiation.

Meanings

1. The formation of a subderivative
   • Considering two major subdifferentials of variational analysis, we derive nonsmooth versions of the Leibniz rule on subdifferentiation under the integral sign, where the integral of the subdifferential set-valued mappings generated by Lipschitzian integrands is understood in the Gelfand sense. 2015, Boris S. Mordukhovich, Nobusumi Sagara, “Subdifferentials of Nonconvex Integral Functionals in Banach Spaces with Applications to Stochastic Dynamic Programming”, in arXiv:

Forms