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Weight function
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{{Use American English|date = March 2019}} {{Short description|Construct related to weighted sums and averages}} A '''weight function''' is a mathematical device used when performing a sum, integral, or average to give some elements more "weight" or influence on the result than other elements in the same set. The result of this application of a weight function is a '''weighted sum''' or [[weighted average]]. Weight functions occur frequently in [[statistics]] and [[mathematical analysis|analysis]], and are closely related to the concept of a [[measure (mathematics)|measure]]. Weight functions can be employed in both discrete and continuous settings. They can be used to construct systems of calculus called "weighted calculus"<ref>Jane Grossman, Michael Grossman, Robert Katz. [https://books.google.com/books?as_brr=0&q=%22The+First+Systems+of+Weighted+Differential+and+Integral+Calculus%E2%80%8E%22&btnG=Search+Books, ''The First Systems of Weighted Differential and Integral Calculus''], {{isbn|0-9771170-1-4}}, 1980.</ref> and "meta-calculus".<ref>Jane Grossman.[https://books.google.com/books?q=%22Non-Newtonian+Calculus%22&btnG=Search+Books&as_brr=0, ''Meta-Calculus: Differential and Integral''], {{isbn|0-9771170-2-2}}, 1981.</ref>
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