  
  
                                     [1X[5XConvex[105X[101X
  
  
                   [1XA [5XGAP[105X package for handling convex objects.[101X
  
  
                               Version 2012.11.15
  
  
                                  August 2012
  
  
                               Sebastian Gutsche
  
  
  
            [33X[0;10YThis  manual  is  best  viewed  as  an [12XHTML[112X document. An
            [12Xoffline[112X  version should be included in the documentation
            subfolder of the package.[133X
  
  
  
  Sebastian Gutsche
      Email:    [7Xmailto:sebastian.gutsche@rwth-aachen.de[107X
      Homepage: [7Xhttp://wwwb.math.rwth-aachen.de/~gutsche[107X
      Address:  [33X[0;14YLehrstuhl  B  für  Mathematik,  RWTH Aachen, Templergraben 64,
                52056 Aachen, Germany[133X
  
  
  
  -------------------------------------------------------
  [1XCopyright[101X
  [33X[0;0Y© 2011-2012 by Sebastian Gutsche[133X
  
  [33X[0;0YThis  package  may  be distributed under the terms and conditions of the GNU
  Public License Version 2.[133X
  
  
  -------------------------------------------------------
  [1XAcknowledgements[101X
  
  -------------------------------------------------------
  
  
  [1XContents (Convex)[101X
  
  1 [33X[0;0YIntroduction[133X
    1.1 [33X[0;0YWhat is the goal of the [5XConvex[105X package?[133X
  2 [33X[0;0YInstallation of the [5XConvex[105X Package[133X
  3 [33X[0;0YConvex Objects[133X
    3.1 [33X[0;0YConvex Objects: Category and Representations[133X
      3.1-1 IsConvexObject
    3.2 [33X[0;0YConvex objects: Properties[133X
      3.2-1 IsFullDimensional
    3.3 [33X[0;0YConvex objects: Attributes[133X
      3.3-1 Dimension
      3.3-2 AmbientSpaceDimension
      3.3-3 ContainingGrid
    3.4 [33X[0;0YConvex objects: Methods[133X
      3.4-1 DrawObject
      3.4-2 WeakPointerToExternalObject
  4 [33X[0;0YFan[133X
    4.1 [33X[0;0YFan: Category and Representations[133X
      4.1-1 IsFan
    4.2 [33X[0;0YFan: Properties[133X
      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 [33X[0;0YFan: Attributes[133X
      4.3-1 Rays
      4.3-2 RayGenerators
      4.3-3 RaysInMaximalCones
      4.3-4 MaximalCones
    4.4 [33X[0;0YFan: Methods[133X
      4.4-1 *
    4.5 [33X[0;0YFan: Constructors[133X
      4.5-1 Fan
      4.5-2 Fan
    4.6 [33X[0;0YFan: Examples[133X
      4.6-1 [33X[0;0YFan example[133X
  5 [33X[0;0YCone[133X
    5.1 [33X[0;0YCone: Category and Representations[133X
      5.1-1 IsCone
    5.2 [33X[0;0YCone: Properties[133X
      5.2-1 IsRay
    5.3 [33X[0;0YCone: Attributes[133X
      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 [33X[0;0YCone: Methods[133X
      5.4-1 IntersectionOfCones
      5.4-2 Contains
      5.4-3 StarFan
      5.4-4 StarFan
      5.4-5 StarSubdivisionOfIthMaximalCone
    5.5 [33X[0;0YCone: Constructors[133X
      5.5-1 Cone
    5.6 [33X[0;0YCone: Examples[133X
      5.6-1 [33X[0;0YCone example[133X
  6 [33X[0;0YPolytope[133X
    6.1 [33X[0;0YPolytope: Category and Representations[133X
      6.1-1 IsPolytope
    6.2 [33X[0;0YPolytope: Properties[133X
      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 [33X[0;0YPolytope: Attributes[133X
      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 [33X[0;0YPolytope: Methods[133X
      6.4-1 *
      6.4-2 #
    6.5 [33X[0;0YPolytope: Constructors[133X
      6.5-1 Polytope
      6.5-2 PolytopeByInequalities
    6.6 [33X[0;0YPolytope: Examples[133X
      6.6-1 [33X[0;0YPolytope example[133X
  
  
  [32X
