convex envelope

短语

词形变化

convex envelopes 复数 convex envelopes

释义与例句

n.
  1. 1.

    Convex hull.

    数学

    1965 [Holt Rinehart & Winston], Robert E. Edwards, Functional Analysis: Theory and Applications, Dover, 1995, Unabridged Corrected Edition, page 561, In E the closed convex envelope of a compact (resp. weakly compact) set is τ(E,E')-complete.

    1987, H. G. Eggleston, S. Madan (translators), Nicolas Bourbaki, Topological Vector Spaces: Chapters 1–5, [1981, N. Bourbaki, Espaces Vectoriels Topologiques], Springer, page IR-10, Corollary 1. — The convex envelope of a subset A of E is identical with the set of linear combinations ∑ᵢλᵢx_i, where (x_i) is any finite family of points in A, the numbers λᵢ>0 for all i and ∑ᵢλᵢ=1.

  2. 2.

    For a given set S⊆ℝⁿ and real-valued function f defined on the convex hull conv(S), the highest-valued convex function that underestimates or equals f over S.

    数学