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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 wikiPageRevisionID "600495146".
- Subderivative hasPhotoCollection Subderivative.
- Subderivative subject Category:Convex_analysis.
- Subderivative subject Category:Generalizations_of_the_derivative.
- Subderivative subject Category:Mathematical_optimization.
- Subderivative subject Category:Variational_analysis.
- Subderivative type Abstraction100002137.
- Subderivative type Association105763916.
- Subderivative type BasicCognitiveProcess105701944.
- Subderivative type Cognition100023271.
- Subderivative type Colligation105764197.
- Subderivative type Generalization105774415.
- Subderivative type GeneralizationsOfTheDerivative.
- Subderivative type Memory105760202.
- Subderivative type Process105701363.
- Subderivative type PsychologicalFeature100023100.
- 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 "Sous-différentiel".
- Subderivative label "Subderivada".
- Subderivative label "Subderivative".
- Subderivative label "Subdifferential".
- Subderivative label "Subdifferenziale".
- Subderivative label "Subróżniczka".
- Subderivative label "Субдифференциал".
- Subderivative label "劣微分".
- Subderivative label "次导数".
- 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 Q289500.
- Subderivative sameAs Q289500.
- Subderivative sameAs Subderivative.
- Subderivative wasDerivedFrom Subderivative?oldid=600495146.
- Subderivative depiction Subderivative_illustration.png.
- Subderivative isPrimaryTopicOf Subderivative.
