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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 sub-functions, each sub-function applying to a certain interval of the main function's domain (a sub-domain). 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 is a function that is a polynomial on each of its sub-domains, 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 not necessarily 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 wikiPageLength "3920".
- Piecewise wikiPageOutDegree "19".
- Piecewise wikiPageRevisionID "701877294".
- Piecewise wikiPageWikiLink Absolute_value.
- Piecewise wikiPageWikiLink B-spline.
- Piecewise wikiPageWikiLink Category:Functions_and_mappings.
- Piecewise wikiPageWikiLink Continuous_function.
- Piecewise wikiPageWikiLink Convex_analysis.
- Piecewise wikiPageWikiLink Differentiable_function.
- Piecewise wikiPageWikiLink Function_(mathematics).
- Piecewise wikiPageWikiLink Heaviside_step_function.
- Piecewise wikiPageWikiLink Interval_(mathematics).
- Piecewise wikiPageWikiLink Mathematics.
- Piecewise wikiPageWikiLink PDIFF.
- Piecewise wikiPageWikiLink Piecewise_linear_function.
- Piecewise wikiPageWikiLink Power_law.
- Piecewise wikiPageWikiLink Sign_function.
- Piecewise wikiPageWikiLink Spline_(mathematics).
- Piecewise wikiPageWikiLink Subderivative.
- Piecewise wikiPageWikiLink File:Absolute_value.svg.
- Piecewise wikiPageWikiLink File:Upper_semi.svg.
- Piecewise wikiPageWikiLinkText "Piecewise Functions".
- Piecewise wikiPageWikiLinkText "Piecewise defined".
- Piecewise wikiPageWikiLinkText "Piecewise".
- Piecewise wikiPageWikiLinkText "piecewise continuous".
- Piecewise wikiPageWikiLinkText "piecewise".
- Piecewise wikiPageUsesTemplate Template:Unreferenced.
- Piecewise wikiPageUsesTemplate Template:Wikibooks.
- Piecewise subject Category:Functions_and_mappings.
- Piecewise hypernym Function.
- Piecewise type Disease.
- Piecewise type Function.
- Piecewise type Relation.
- 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 sub-functions, each sub-function applying to a certain interval of the main function's domain (a sub-domain). 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 "Piecewise".
- Piecewise sameAs Q2037833.
- Piecewise sameAs دالة_متعددة_التعريف.
- Piecewise sameAs Funció_definida_a_trossos.
- Piecewise sameAs Función_definida_a_trozos.
- Piecewise sameAs Zatikako_funtzio.
- Piecewise sameAs تابع_چندضابطهای.
- Piecewise sameAs Fonction_affine_par_morceaux.
- Piecewise sameAs 区分的.
- Piecewise sameAs Stuksgewijs.
- Piecewise sameAs Funções_definidas_em_trechos.
- Piecewise sameAs m.0246fr.
- Piecewise sameAs Pe_porțiuni.
- Piecewise sameAs Кусочно-заданная_функция.
- Piecewise sameAs Piecewise.
- Piecewise sameAs துண்டுவாரிச்_சார்பு.
- Piecewise sameAs Кусково_задана_функція.
- Piecewise sameAs Hàm_số_xác_định_theo_từng_khoảng.
- Piecewise sameAs Q2037833.
- Piecewise wasDerivedFrom Piecewise?oldid=701877294.
- Piecewise depiction Absolute_value.svg.
- Piecewise isPrimaryTopicOf Piecewise.
