Alexandrov theorem
In mathematical analysis, the Alexandrov theorem, named after Aleksandr Danilovich Aleksandrov, states that if U is an open subset of Rn and f : U → Rm is a convex function, then f has a second derivative almost everywhere. In this context, having a second derivative at a point means having a second-order Taylor expansion at that point with a local error smaller than any quadratic. The result is closely related to Rademacher's theorem.
primaryTopic
Alexandrov theorem
In mathematical analysis, the Alexandrov theorem, named after Aleksandr Danilovich Aleksandrov, states that if U is an open subset of Rn and f : U → Rm is a convex function, then f has a second derivative almost everywhere. In this context, having a second derivative at a point means having a second-order Taylor expansion at that point with a local error smaller than any quadratic. The result is closely related to Rademacher's theorem.
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In mathematical analysis, the ...... lated to Rademacher's theorem.
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Теорема Александрова — классическая теорема в теории функции вещественной переменной.
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数学の解析学の分野における、アレクサンドロフの定理（アレクサ ...... る。 この結果は、ラーデマッヘルの定理と密接に関連している。
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Wikipage page ID
37,490,344
Wikipage revision ID
664,699,491
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comment
In mathematical analysis, the ...... lated to Rademacher's theorem.
@en
Теорема Александрова — классическая теорема в теории функции вещественной переменной.
@ru
数学の解析学の分野における、アレクサンドロフの定理（アレクサ ...... る。 この結果は、ラーデマッヘルの定理と密接に関連している。
@ja
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Alexandrov theorem
@en
Теорема Александрова
@ru
アレクサンドロフの定理
@ja