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fix: sectioning and redundant text
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Yue Ren committed Sep 5, 2012
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74 changes: 37 additions & 37 deletions doc/polymake.doc
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Original file line number Diff line number Diff line change
Expand Up @@ -84,7 +84,7 @@ All functions are to be called with a preceding ``Polymake::''.
@end menu
@c --------------------------------------------------------------------------------
@node boundaryLatticePoints,ehrhartPolynomialCoeff,,polymake_so
@subsection boundaryLatticePoints
@subsubsection boundaryLatticePoints
@cindex boundaryLatticePoints
@table @code
@item @strong{Syntax:}
Expand All @@ -109,7 +109,7 @@ Polymake::boundaryLatticePoints(q);
@end table
@c --------------------------------------------------------------------------------
@node ehrhartPolynomialCoeff,facetVertexLatticeDistances,boundaryLatticePoints,polymake_so
@subsection ehrhartPolynomialCoeff
@subsubsection ehrhartPolynomialCoeff
@cindex ehrhartPolynomialCoeff
@table @code
@item @strong{Syntax:}
Expand All @@ -131,7 +131,7 @@ coefficients of the Ehrhart polynomial of p.
@end table
@c --------------------------------------------------------------------------------
@node facetVertexLatticeDistances,facetWidth,ehrhartPolynomialCoeff,polymake_so
@subsection facetVertexLatticeDistances
@subsubsection facetVertexLatticeDistances
@cindex facetVertexLatticeDistances
@table @code
@item @strong{Syntax:}
Expand All @@ -154,7 +154,7 @@ intmat, which encodes the lattice distances between vertices (columns) and facet
@end table
@c --------------------------------------------------------------------------------
@node facetWidth,facetWidths,facetVertexLatticeDistances,polymake_so
@subsection facetWidth
@subsubsection facetWidth
@cindex facetWidth
@table @code
@item @strong{Syntax:}
Expand All @@ -176,7 +176,7 @@ maximal integral width going over all facet normals
@end table
@c --------------------------------------------------------------------------------
@node facetWidths,fVector(polymake),facetWidth,polymake_so
@subsection facetWidths
@subsubsection facetWidths
@cindex facetWidths
@table @code
@item @strong{Syntax:}
Expand All @@ -198,7 +198,7 @@ vector with the integral widths of p with respect to all facet normals
@end table
@c --------------------------------------------------------------------------------
@node fVector(polymake),gorensteinIndex,facetWidths,polymake_so
@subsection fVector
@subsubsection fVector
@cindex fVector(polymake)
@table @code
@item @strong{Syntax:}
Expand All @@ -223,7 +223,7 @@ and n is the dimension of the ambient space of p.
@end table
@c --------------------------------------------------------------------------------
@node gorensteinIndex,gorensteinVector,fVector(polymake),polymake_so
@subsection gorensteinIndex
@subsubsection gorensteinIndex
@cindex gorensteinIndex
@table @code
@item @strong{Syntax:}
Expand Down Expand Up @@ -251,7 +251,7 @@ the translation v can be computed via Polymake::gorensteinVector(p).
@end table
@c --------------------------------------------------------------------------------
@node gorensteinVector,hilbertBasis,gorensteinIndex,polymake_so
@subsection gorensteinVector
@subsubsection gorensteinVector
@cindex gorensteinVector
@table @code
@item @strong{Syntax:}
Expand Down Expand Up @@ -279,7 +279,7 @@ the dilatation n can be computed via Polymake::gorensteinIndex(p).
@end table
@c --------------------------------------------------------------------------------
@node hilbertBasis,hStarVector,gorensteinVector,polymake_so
@subsection hilbertBasis
@subsubsection hilbertBasis
@cindex hilbertBasis
@table @code
@item @strong{Syntax:}
Expand All @@ -301,7 +301,7 @@ the number of elements in the hilbertBasis can be computed through Polymake::nHi
@end table
@c --------------------------------------------------------------------------------
@node hStarVector,hVector,hilbertBasis,polymake_so
@subsection hStarVector
@subsubsection hStarVector
@cindex hStarVector
@table @code
@item @strong{Syntax:}
Expand All @@ -321,7 +321,7 @@ the h*-vector of p.
@end table
@c --------------------------------------------------------------------------------
@node hVector,interiorLatticePoints,hStarVector,polymake_so
@subsection hVector
@subsubsection hVector
@cindex hVector
@table @code
@item @strong{Syntax:}
Expand All @@ -341,7 +341,7 @@ the h-vector of p.
@end table
@c --------------------------------------------------------------------------------
@node interiorLatticePoints,isBounded,hVector,polymake_so
@subsection interiorLatticePoints
@subsubsection interiorLatticePoints
@cindex interiorLatticePoints
@table @code
@item @strong{Syntax:}
Expand All @@ -364,7 +364,7 @@ intmat, whose rows are the lattice points in the relative interior of p.
@end table
@c --------------------------------------------------------------------------------
@node isBounded,isCanonical,interiorLatticePoints,polymake_so
@subsection isBounded
@subsubsection isBounded
@cindex isBounded
@table @code
@item @strong{Syntax:}
Expand All @@ -387,7 +387,7 @@ int
@end table
@c --------------------------------------------------------------------------------
@node isCanonical,isCompressed,isBounded,polymake_so
@subsection isCanonical
@subsubsection isCanonical
@cindex isCanonical
@table @code
@item @strong{Syntax:}
Expand All @@ -411,7 +411,7 @@ int
@end table
@c --------------------------------------------------------------------------------
@node isCompressed,isGorenstein,isCanonical,polymake_so
@subsection isCompressed
@subsubsection isCompressed
@cindex isCompressed
@table @code
@item @strong{Syntax:}
Expand All @@ -434,7 +434,7 @@ int
@end table
@c --------------------------------------------------------------------------------
@node isGorenstein,isLatticeEmpty,isCompressed,polymake_so
@subsection isGorenstein
@subsubsection isGorenstein
@cindex isGorenstein
@table @code
@item @strong{Syntax:}
Expand All @@ -457,7 +457,7 @@ int
@end table
@c --------------------------------------------------------------------------------
@node isLatticeEmpty,isNormal,isGorenstein,polymake_so
@subsection isLatticeEmpty
@subsubsection isLatticeEmpty
@cindex isLatticeEmpty
@table @code
@item @strong{Syntax:}
Expand All @@ -480,7 +480,7 @@ int
@end table
@c --------------------------------------------------------------------------------
@node isNormal,isReflexive,isLatticeEmpty,polymake_so
@subsection isNormal
@subsubsection isNormal
@cindex isNormal
@table @code
@item @strong{Syntax:}
Expand All @@ -500,7 +500,7 @@ int
@end table
@c --------------------------------------------------------------------------------
@node isReflexive,isSmooth,isNormal,polymake_so
@subsection isReflexive
@subsubsection isReflexive
@cindex isReflexive
@table @code
@item @strong{Syntax:}
Expand All @@ -523,7 +523,7 @@ int
@end table
@c --------------------------------------------------------------------------------
@node isSmooth,isTerminal,isReflexive,polymake_so
@subsection isSmooth
@subsubsection isSmooth
@cindex isSmooth
@table @code
@item @strong{Syntax:}
Expand Down Expand Up @@ -563,7 +563,7 @@ int
@end table
@c --------------------------------------------------------------------------------
@node isTerminal,isVeryAmple,isSmooth,polymake_so
@subsection isTerminal
@subsubsection isTerminal
@cindex isTerminal
@table @code
@item @strong{Syntax:}
Expand All @@ -588,7 +588,7 @@ int
@end table
@c --------------------------------------------------------------------------------
@node isVeryAmple,latticeCodegree,isTerminal,polymake_so
@subsection isVeryAmple
@subsubsection isVeryAmple
@cindex isVeryAmple
@table @code
@item @strong{Syntax:}
Expand All @@ -611,7 +611,7 @@ int
@end table
@c --------------------------------------------------------------------------------
@node latticeCodegree,latticeDegree,isVeryAmple,polymake_so
@subsection latticeCodegree
@subsubsection latticeCodegree
@cindex latticeCodegree
@table @code
@item @strong{Syntax:}
Expand All @@ -634,7 +634,7 @@ getDimension(p)+1-latticeDegree(p), which is the smallest number k such that k*p
@end table
@c --------------------------------------------------------------------------------
@node latticeDegree,latticePoints,latticeCodegree,polymake_so
@subsection latticeDegree
@subsubsection latticeDegree
@cindex latticeDegree
@table @code
@item @strong{Syntax:}
Expand All @@ -657,7 +657,7 @@ getDimension(p)+1-latticeCodegree(p), which is the degree of the Ehrhart polynom
@end table
@c --------------------------------------------------------------------------------
@node latticePoints,latticeVolume,latticeDegree,polymake_so
@subsection latticePoints
@subsubsection latticePoints
@cindex latticePoints
@table @code
@item @strong{Syntax:}
Expand All @@ -682,7 +682,7 @@ intmat, whose rows are the lattice points in p.
@end table
@c --------------------------------------------------------------------------------
@node latticeVolume,maximalFace,latticePoints,polymake_so
@subsection latticeVolume
@subsubsection latticeVolume
@cindex latticeVolume
@table @code
@item @strong{Syntax:}
Expand Down Expand Up @@ -710,7 +710,7 @@ the lattice volume of p.
@end table
@c --------------------------------------------------------------------------------
@node maximalFace,maximalValue,latticeVolume,polymake_so
@subsection maximalFace
@subsubsection maximalFace
@cindex maximalFace
@table @code
@item @strong{Syntax:}
Expand All @@ -737,7 +737,7 @@ The first coordinate of v corresponds to a shift of the maximal value since p is
@end table
@c --------------------------------------------------------------------------------
@node maximalValue,minimalFace,maximalFace,polymake_so
@subsection maximalValue
@subsubsection maximalValue
@cindex maximalValue
@table @code
@item @strong{Syntax:}
Expand All @@ -764,7 +764,7 @@ The first coordinate of v corresponds to a shift of the maximal value since p is
@end table
@c --------------------------------------------------------------------------------
@node minimalFace,minimalValue,maximalValue,polymake_so
@subsection minimalFace
@subsubsection minimalFace
@cindex minimalFace
@table @code
@item @strong{Syntax:}
Expand All @@ -791,7 +791,7 @@ The first coordinate of v corresponds to a shift of the minimal value since p is
@end table
@c --------------------------------------------------------------------------------
@node minimalValue,minkowskiSum,minimalFace,polymake_so
@subsection minimalValue
@subsubsection minimalValue
@cindex minimalValue
@table @code
@item @strong{Syntax:}
Expand All @@ -818,7 +818,7 @@ The first coordinate of v corresponds to a shift of the minimal value since p is
@end table
@c --------------------------------------------------------------------------------
@node minkowskiSum,nBoundaryLatticePoints,minimalValue,polymake_so
@subsection minkowskiSum
@subsubsection minkowskiSum
@cindex minkowskiSum
@table @code
@item @strong{Syntax:}
Expand Down Expand Up @@ -848,7 +848,7 @@ The Minkowski sum of two cones is just the cone generated by their union.
@end table
@c --------------------------------------------------------------------------------
@node nBoundaryLatticePoints,nHilbertBasis,minkowskiSum,polymake_so
@subsection nBoundaryLatticePoints
@subsubsection nBoundaryLatticePoints
@cindex nBoundaryLatticePoints
@table @code
@item @strong{Syntax:}
Expand All @@ -873,7 +873,7 @@ the number of lattice points on the relative boundary of p.
@end table
@c --------------------------------------------------------------------------------
@node nHilbertBasis,nInteriorLatticePoints,nBoundaryLatticePoints,polymake_so
@subsection nHilbertBasis
@subsubsection nHilbertBasis
@cindex nHilbertBasis
@table @code
@item @strong{Syntax:}
Expand All @@ -896,7 +896,7 @@ the number of elements in the Hilbert basis of the semigroup of lattice points i
@end table
@c --------------------------------------------------------------------------------
@node nInteriorLatticePoints,nLatticePoints,nHilbertBasis,polymake_so
@subsection nInteriorLatticePoints
@subsubsection nInteriorLatticePoints
@cindex nInteriorLatticePoints
@table @code
@item @strong{Syntax:}
Expand All @@ -921,7 +921,7 @@ the number of lattice points in the relative interior of p.
@end table
@c --------------------------------------------------------------------------------
@node nLatticePoints,normalFan(polymake),nInteriorLatticePoints,polymake_so
@subsection nLatticePoints
@subsubsection nLatticePoints
@cindex nLatticePoints
@table @code
@item @strong{Syntax:}
Expand All @@ -946,7 +946,7 @@ the number of lattice points in p.
@end table
@c --------------------------------------------------------------------------------
@node normalFan(polymake),visual,nLatticePoints,polymake_so
@subsection normalFan
@subsubsection normalFan
@cindex normalFan
@table @code
@item @strong{Syntax:}
Expand All @@ -967,7 +967,7 @@ the normal fan of p.
@end table
@c --------------------------------------------------------------------------------
@node visual,,normalFan(polymake),polymake_so
@subsection visual
@subsubsection visual
@cindex visual
@table @code
@item @strong{Syntax:}
Expand Down
2 changes: 0 additions & 2 deletions doc/singular.doc
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Original file line number Diff line number Diff line change
Expand Up @@ -1004,8 +1004,6 @@ Todos/Issues:
@section convex geometry
@cindex convex geometry

this is just a test

@menu
* polymake_so:: A polymake interface for Singular
@end menu
Expand Down

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