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- Subderivative abstract "In mathematics, the subderivative, subgradient, and subdifferential generalize the derivative to functions which are not differentiable. The subdifferential of a function is set-valued. Subderivatives arise in convex analysis, the study of convex functions, often in connection to convex optimization.Let f:I→R be a real-valued convex function defined on an open interval of the real line. Such a function need not be differentiable at all points: For example, the absolute value function f(x)=|x| is nondifferentiable when x=0. However, as seen in the picture on the right, for any x0 in the domain of the function one can draw a line which goes through the point (x0, f(x0)) and which is everywhere either touching or below the graph of f. The slope of such a line is called a subderivative (because the line is under the graph of f).".
- Subderivative thumbnail Subderivative_illustration.png?width=300.
- Subderivative wikiPageID "3462862".
- Subderivative wikiPageLength "5852".
- Subderivative wikiPageOutDegree "36".
- Subderivative wikiPageRevisionID "670937696".
- Subderivative wikiPageWikiLink Absolute_value.
- Subderivative wikiPageWikiLink Category:Convex_analysis.
- Subderivative wikiPageWikiLink Category:Generalizations_of_the_derivative.
- Subderivative wikiPageWikiLink Category:Mathematical_optimization.
- Subderivative wikiPageWikiLink Category:Variational_analysis.
- Subderivative wikiPageWikiLink Claude_Lemaréchal.
- Subderivative wikiPageWikiLink Closed_set.
- Subderivative wikiPageWikiLink Compact_space.
- Subderivative wikiPageWikiLink Convex_analysis.
- Subderivative wikiPageWikiLink Convex_function.
- Subderivative wikiPageWikiLink Convex_optimization.
- Subderivative wikiPageWikiLink Convex_set.
- Subderivative wikiPageWikiLink Derivative.
- Subderivative wikiPageWikiLink Dot_product.
- Subderivative wikiPageWikiLink Dual_space.
- Subderivative wikiPageWikiLink Empty_set.
- Subderivative wikiPageWikiLink Euclidean_space.
- Subderivative wikiPageWikiLink If_and_only_if.
- Subderivative wikiPageWikiLink Interval_(mathematics).
- Subderivative wikiPageWikiLink Jean-Jacques_Moreau.
- Subderivative wikiPageWikiLink Locally_convex_topological_vector_space.
- Subderivative wikiPageWikiLink Mathematics.
- Subderivative wikiPageWikiLink Maxima_and_minima.
- Subderivative wikiPageWikiLink One-sided_limit.
- Subderivative wikiPageWikiLink Open_set.
- Subderivative wikiPageWikiLink R._Tyrrell_Rockafellar.
- Subderivative wikiPageWikiLink Real_number.
- Subderivative wikiPageWikiLink Set_(mathematics).
- Subderivative wikiPageWikiLink Singleton_(mathematics).
- Subderivative wikiPageWikiLink Slope.
- Subderivative wikiPageWikiLink Subgradient_method.
- Subderivative wikiPageWikiLink Unbounded_operator.
- Subderivative wikiPageWikiLink Weak_derivative.
- Subderivative wikiPageWikiLink File:Subderivative_illustration.png.
- Subderivative wikiPageWikiLinkText "Subderivative".
- Subderivative wikiPageWikiLinkText "nonsmooth analysis".
- Subderivative wikiPageWikiLinkText "sub-gradient".
- Subderivative wikiPageWikiLinkText "subderivative".
- Subderivative wikiPageWikiLinkText "subderivative#The subgradient".
- Subderivative wikiPageWikiLinkText "subdifferential".
- Subderivative wikiPageWikiLinkText "subgradient".
- Subderivative wikiPageWikiLinkText "subgradients".
- Subderivative wikiPageUsesTemplate Template:Cite_book.
- Subderivative subject Category:Convex_analysis.
- Subderivative subject Category:Generalizations_of_the_derivative.
- Subderivative subject Category:Mathematical_optimization.
- Subderivative subject Category:Variational_analysis.
- Subderivative type Area.
- Subderivative type Area.
- Subderivative comment "In mathematics, the subderivative, subgradient, and subdifferential generalize the derivative to functions which are not differentiable. The subdifferential of a function is set-valued. Subderivatives arise in convex analysis, the study of convex functions, often in connection to convex optimization.Let f:I→R be a real-valued convex function defined on an open interval of the real line.".
- Subderivative label "Subderivative".
- Subderivative sameAs Q289500.
- Subderivative sameAs Subdifferential.
- Subderivative sameAs Sous-différentiel.
- Subderivative sameAs Subdifferenziale.
- Subderivative sameAs 劣微分.
- Subderivative sameAs Subróżniczka.
- Subderivative sameAs Subderivada.
- Subderivative sameAs m.09dtd9.
- Subderivative sameAs Субдифференциал.
- Subderivative sameAs Subgradient.
- Subderivative sameAs Субдиференціал.
- Subderivative sameAs Q289500.
- Subderivative sameAs 次导数.
- Subderivative wasDerivedFrom Subderivative?oldid=670937696.
- Subderivative depiction Subderivative_illustration.png.
- Subderivative isPrimaryTopicOf Subderivative.
