Order theory | Polytopes

Order polytope

In mathematics, the order polytope of a finite partially ordered set is a convex polytope defined from the set. The points of the order polytope are the monotonic functions from the given set to the unit interval, its vertices correspond to the upper sets of the partial order, and its dimension is the number of elements in the partial order. The order polytope is a distributive polytope, meaning that coordinatewise minima and maxima of pairs of its points remain within the polytope. The order polytope of a partial order should be distinguished from the linear ordering polytope, a polytope defined from a number as the convex hull of indicator vectors of the sets of edges of -vertex transitive tournaments. (Wikipedia).

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What are four types of polygons

๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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From playlist Classify Polygons

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๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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From playlist Classify Polygons

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From playlist Classify Polygons

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From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

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From playlist Workshop: High dimensional spatial random systems

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From playlist Workshop: Tropical geometry and the geometry of linear programming

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From playlist Mathematics

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From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels

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From playlist Center of Math Research: the Worldwide Lecture Seminar Series

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From playlist Mathematics

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From playlist Workshop: Tropical geometry and the geometry of linear programming

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From playlist Classify Polygons

Related pages

Distributive polytope | Congruence (geometry) | Monotonic function | Vector space | Convex hull | Finite set | Partially ordered set | Indicator function | Schlรคfli orthoscheme | Volume | Unit cube | Covering relation | Unit interval | Polynomial-time approximation scheme | Facet (geometry) | Distributive lattice | Simplex | Integral polytope | Binary relation | Convex polytope | Indicator vector | Real number | โ™ฏP-complete | Birkhoff's representation theorem | Linear extension | Upper set | Order polynomial | Ehrhart polynomial