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- Piecewise abstract "In mathematics, a piecewise-defined function (also called a piecewise function or a hybrid function) is a function which is defined by multiple subfunctions, each subfunction applying to a certain interval of the main function's domain (a subdomain). Piecewise is actually a way of expressing the function, rather than a characteristic of the function itself, but with additional qualification, it can describe the nature of the function. For example, a piecewise polynomial function: a function that is a polynomial on each of its subdomains, but possibly a different one on each.The word piecewise is also used to describe any property of a piecewise-defined function that holds for each piece but may not hold for the whole domain of the function. A function is piecewise differentiable or piecewise continuously differentiable if each piece is differentiable throughout its subdomain, even though the whole function may not be differentiable at the points between the pieces. In convex analysis, the notion of a derivative may be replaced by that of the subderivative for piecewise functions. Although the "pieces" in a piecewise definition need not be intervals, a function isn't called "piecewise linear" or "piecewise continuous" or "piecewise differentiable" unless the pieces are intervals.".
- Piecewise thumbnail Absolute_value.svg?width=300.
- Piecewise wikiPageID "404130".
- Piecewise wikiPageRevisionID "592214269".
- Piecewise hasPhotoCollection Piecewise.
- Piecewise subject Category:Functions_and_mappings.
- Piecewise type Abstraction100002137.
- Piecewise type Function113783816.
- Piecewise type FunctionsAndMappings.
- Piecewise type MathematicalRelation113783581.
- Piecewise type Relation100031921.
- Piecewise comment "In mathematics, a piecewise-defined function (also called a piecewise function or a hybrid function) is a function which is defined by multiple subfunctions, each subfunction applying to a certain interval of the main function's domain (a subdomain). Piecewise is actually a way of expressing the function, rather than a characteristic of the function itself, but with additional qualification, it can describe the nature of the function.".
- Piecewise label "Fonction affine par morceaux".
- Piecewise label "Función definida a trozos".
- Piecewise label "Funções definidas em trechos".
- Piecewise label "Piecewise".
- Piecewise label "Stuksgewijs".
- Piecewise label "Кусочно-заданная функция".
- Piecewise sameAs Función_definida_a_trozos.
- Piecewise sameAs Zatikako_funtzio.
- Piecewise sameAs Fonction_affine_par_morceaux.
- Piecewise sameAs Stuksgewijs.
- Piecewise sameAs Funções_definidas_em_trechos.
- Piecewise sameAs m.0246fr.
- Piecewise sameAs Q2037833.
- Piecewise sameAs Q2037833.
- Piecewise sameAs Piecewise.
- Piecewise wasDerivedFrom Piecewise?oldid=592214269.
- Piecewise depiction Absolute_value.svg.
- Piecewise isPrimaryTopicOf Piecewise.
