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- Convex_combination abstract "In convex geometry, a convex combination is a linear combination of points (which can be vectors, scalars, or more generally points in an affine space) where all coefficients are non-negative and sum to 1.More formally, given a finite number of points in a real vector space, a convex combination of these points is a point of the formwhere the real numbers satisfy and As a particular example, every convex combination of two points lies on the line segment between the points.All convex combinations are within the convex hull of the given points. In fact, the collection of all such convex combinations of points in the set constitutes the convex hull of the set.There exist subsets of a vector space that are not closed under linear combinations but are closed under convex combinations. For example, the interval is convex but generates the real-number line under linear combinations. Another example is the convex set of probability distributions, as linear combinations preserve neither nonnegativity nor affinity (i.e., having total integral one).".
- Convex_combination thumbnail Convex_combination_illustration.svg?width=300.
- Convex_combination wikiPageID "794534".
- Convex_combination wikiPageRevisionID "578286833".
- Convex_combination hasPhotoCollection Convex_combination.
- Convex_combination subject Category:Convex_geometry.
- Convex_combination subject Category:Convex_hulls.
- Convex_combination subject Category:Mathematical_analysis.
- Convex_combination type ConvexHulls.
- Convex_combination type Covering109257949.
- Convex_combination type Hull113139918.
- Convex_combination type Husk113139647.
- Convex_combination type NaturalObject100019128.
- Convex_combination type Object100002684.
- Convex_combination type PhysicalEntity100001930.
- Convex_combination type Sheath105238036.
- Convex_combination type Whole100003553.
- Convex_combination comment "In convex geometry, a convex combination is a linear combination of points (which can be vectors, scalars, or more generally points in an affine space) where all coefficients are non-negative and sum to 1.More formally, given a finite number of points in a real vector space, a convex combination of these points is a point of the formwhere the real numbers satisfy and As a particular example, every convex combination of two points lies on the line segment between the points.All convex combinations are within the convex hull of the given points. ".
- Convex_combination label "Combinación convexa".
- Convex_combination label "Combinaison convexe".
- Convex_combination label "Combinazione convessa".
- Convex_combination label "Convex combination".
- Convex_combination label "Kombinacja wypukła".
- Convex_combination label "凸组合".
- Convex_combination sameAs Combinación_convexa.
- Convex_combination sameAs Combinaison_convexe.
- Convex_combination sameAs Combinazione_convessa.
- Convex_combination sameAs Kombinacja_wypukła.
- Convex_combination sameAs m.03clzj.
- Convex_combination sameAs Q2627315.
- Convex_combination sameAs Q2627315.
- Convex_combination sameAs Convex_combination.
- Convex_combination wasDerivedFrom Convex_combination?oldid=578286833.
- Convex_combination depiction Convex_combination_illustration.svg.
- Convex_combination isPrimaryTopicOf Convex_combination.