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- Global_optimum abstract "In mathematics, a global optimum is a selection from a given domain which provides either the highest value (the global maximum) or lowest value (the global minimum), depending on the objective, when a specific function is applied. For example, for the function f(x) = −x2 + 2, defined on the real numbers, the global maximum occurs at x = 0, where f(x) = 2. For all other values of x, f(x) is smaller. For purposes of optimization, a function must be defined over the whole domain, and must have a range which is a totally ordered set, in order that the evaluations of distinct domain elements are comparable. By contrast, a local optimum is a selection for which neighboring selections yield values that are not greater (for a local maximum) or not smaller (for a local minimum). The concept of a local optimum implies that the domain is a metric space or topological space, in order that the notion of "neighborhood" should be meaningful.If the function to be maximized is quasi-concave, or if the function to be minimized is quasi-convex, then a local optimum is also the global optimum.".
- Global_optimum thumbnail Polynomialdeg4.png?width=300.
- Global_optimum wikiPageID "914285".
- Global_optimum wikiPageLength "1680".
- Global_optimum wikiPageOutDegree "13".
- Global_optimum wikiPageRevisionID "669951453".
- Global_optimum wikiPageWikiLink Category:Mathematical_optimization.
- Global_optimum wikiPageWikiLink Function_(mathematics).
- Global_optimum wikiPageWikiLink Local_optimum.
- Global_optimum wikiPageWikiLink Mathematical_optimization.
- Global_optimum wikiPageWikiLink Mathematics.
- Global_optimum wikiPageWikiLink Maxima_and_minima.
- Global_optimum wikiPageWikiLink Metric_space.
- Global_optimum wikiPageWikiLink Optimization_(mathematics).
- Global_optimum wikiPageWikiLink Quasi-concave_function.
- Global_optimum wikiPageWikiLink Quasi-convex_function.
- Global_optimum wikiPageWikiLink Quasiconvex_function.
- Global_optimum wikiPageWikiLink Real_number.
- Global_optimum wikiPageWikiLink Topological_space.
- Global_optimum wikiPageWikiLink Total_order.
- Global_optimum wikiPageWikiLink Totally_ordered_set.
- Global_optimum wikiPageWikiLink File:Polynomialdeg4.png.
- Global_optimum wikiPageWikiLinkText "Global optimum".
- Global_optimum wikiPageWikiLinkText "global minimum".
- Global_optimum wikiPageWikiLinkText "global optimal".
- Global_optimum wikiPageWikiLinkText "global optimum".
- Global_optimum wikiPageWikiLinkText "globally optimal solution".
- Global_optimum wikiPageWikiLinkText "optimal".
- Global_optimum hasPhotoCollection Global_optimum.
- Global_optimum wikiPageUsesTemplate Template:Unreferenced.
- Global_optimum subject Category:Mathematical_optimization.
- Global_optimum hypernym Selection.
- Global_optimum type Area.
- Global_optimum type Article.
- Global_optimum type CultivatedVariety.
- Global_optimum type Area.
- Global_optimum type Article.
- Global_optimum comment "In mathematics, a global optimum is a selection from a given domain which provides either the highest value (the global maximum) or lowest value (the global minimum), depending on the objective, when a specific function is applied. For example, for the function f(x) = −x2 + 2, defined on the real numbers, the global maximum occurs at x = 0, where f(x) = 2. For all other values of x, f(x) is smaller.".
- Global_optimum label "Global optimum".
- Global_optimum sameAs m.03pfnm.
- Global_optimum sameAs Q5570872.
- Global_optimum sameAs Q5570872.
- Global_optimum wasDerivedFrom Global_optimum?oldid=669951453.
- Global_optimum depiction Polynomialdeg4.png.
- Global_optimum isPrimaryTopicOf Global_optimum.