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Demicontinuous
UK
/ˌdɛmɪkənˈtɪn.ju.əs/
US
/ˌdɛmɪkənˈtɪn.ju.əs/
Translation of "demicontinuous" into Russian
demicontinuous
Adjective
UK
/ˌdɛmɪkənˈtɪn.ju.əs/
US
/ˌdɛmɪkənˈtɪn.ju.əs/
demicontinuous
more demicontinuous Comp.
most demicontinuous Super.
The function is demicontinuous at this point.
Функция полупрерывная в этой точке.
Definitions
demicontinuous
Adjective
UK
/ˌdɛmɪkənˈtɪn.ju.əs/
US
/ˌdɛmɪkənˈtɪn.ju.əs/
Partially continuous; having some properties of continuity but not fully continuous.
The function is demicontinuous, meaning it maintains continuity under certain conditions but not universally.
(mathematics, functional analysis) Of an operator between topological vector spaces: continuous when the domain carries the strong (norm) topology and the codomain the weak topology.
The operator T is demicontinuous, so strong convergence of xₙ in X implies weak convergence of T(xₙ) in Y.