Goto Chapter: Top 1 2 3 4 5 6 Ind
 [Top of Book]  [Contents]   [Next Chapter] 

Convex

A GAP package for handling convex objects.

Version 2013.12.05

August 2012



This manual is best viewed as an HTML document. An offline version should be included in the documentation subfolder of the package.

Sebastian Gutsche
Email: [email protected]
Homepage: http://wwwb.math.rwth-aachen.de/~gutsche
Address:
Lehrstuhl B für Mathematik, RWTH Aachen, Templergraben 64, 52056 Aachen, Germany

Copyright

© 2011-2012 by Sebastian Gutsche

This package may be distributed under the terms and conditions of the GNU Public License Version 2.

Acknowledgements

Contents

1 Introduction
 1.1 What is the goal of the Convex package?
2 Installation of the Convex Package
3 Convex Objects
 3.1 Convex Objects: Category and Representations

  3.1-1 IsConvexObject
 3.2 Convex objects: Properties

  3.2-1 IsFullDimensional
 3.3 Convex objects: Attributes

  3.3-1 Dimension
  3.3-2 AmbientSpaceDimension
  3.3-3 ContainingGrid
 3.4 Convex objects: Methods

  3.4-1 DrawObject
  3.4-2 WeakPointerToExternalObject
4 Fan
 4.1 Fan: Category and Representations

  4.1-1 IsFan
 4.2 Fan: Properties

  4.2-1 IsComplete
  4.2-2 IsPointed
  4.2-3 IsSmooth
  4.2-4 IsRegularFan
  4.2-5 IsSimplicial
  4.2-6 HasConvexSupport
 4.3 Fan: Attributes

  4.3-1 Rays
  4.3-2 RayGenerators
  4.3-3 RaysInMaximalCones
  4.3-4 MaximalCones
 4.4 Fan: Methods

  4.4-1 *
 4.5 Fan: Constructors

  4.5-1 Fan
  4.5-2 Fan
 4.6 Fan: Examples

  4.6-1 Fan example
5 Cone
 5.1 Cone: Category and Representations

  5.1-1 IsCone
 5.2 Cone: Properties

  5.2-1 IsRay
 5.3 Cone: Attributes

  5.3-1 DualCone
  5.3-2 HilbertBasis
  5.3-3 RaysInFacets
  5.3-4 Facets
  5.3-5 GridGeneratedByCone
  5.3-6 FactorGrid
  5.3-7 GridGeneratedByOrthogonalCone
  5.3-8 DefiningInequalities
  5.3-9 IsContainedInFan
  5.3-10 FactorGridMorphism
 5.4 Cone: Methods

  5.4-1 IntersectionOfCones
  5.4-2 Contains
  5.4-3 StarFan
  5.4-4 StarFan
  5.4-5 StarSubdivisionOfIthMaximalCone
 5.5 Cone: Constructors

  5.5-1 Cone
 5.6 Cone: Examples

  5.6-1 Cone example
6 Polytope
 6.1 Polytope: Category and Representations

  6.1-1 IsPolytope
 6.2 Polytope: Properties

  6.2-1 IsNotEmpty
  6.2-2 IsLatticePolytope
  6.2-3 IsVeryAmple
  6.2-4 IsNormalPolytope
  6.2-5 IsSimplicial
  6.2-6 IsSimplePolytope
 6.3 Polytope: Attributes

  6.3-1 Vertices
  6.3-2 LatticePoints
  6.3-3 FacetInequalities
  6.3-4 VerticesInFacets
  6.3-5 AffineCone
  6.3-6 NormalFan
  6.3-7 RelativeInteriorLatticePoints
 6.4 Polytope: Methods

  6.4-1 *
  6.4-2 #
 6.5 Polytope: Constructors

  6.5-1 Polytope
  6.5-2 PolytopeByInequalities
 6.6 Polytope: Examples

  6.6-1 Polytope example
Index

 [Top of Book]  [Contents]   [Next Chapter] 
Goto Chapter: Top 1 2 3 4 5 6 Ind

generated by GAPDoc2HTML