<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>Symbol Index</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body><div><a href="index.html">top</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> <hr/> <h1>Symbol Index</h1> <div><a href="#A">A</a> <a href="#B">B</a> <a href="#C">C</a> <a href="#D">D</a> <a href="#E">E</a> <a href="#F">F</a> <a href="#G">G</a> <a href="#H">H</a> <a href="#I">I</a> <a href="#J">J</a> <a href="#K">K</a> <a href="#L">L</a> <a href="#M">M</a> <a href="#N">N</a> <a href="#O">O</a> <a href="#P">P</a> <a href="#Q">Q</a> <a href="#R">R</a> <a href="#S">S</a> <a href="#T">T</a> <a href="#U">U</a> <a href="#V">V</a> <a href="#W">W</a> <a href="#X">X</a> <a href="#Y">Y</a> <a href="#Z">Z</a></div> <ul><li><span><a id="A"/></span><span><a href="_add__Coker__Grading.html" title="Stores a cokernel grading in a polynomial ring.">addCokerGrading</a> -- Stores a cokernel grading in a polynomial ring.</span></li> <li><span><a href="_add__Face__Data__To__Complex.html" title="Adds to a complex face data.">addFaceDataToComplex</a> -- Adds to a complex face data.</span></li> <li><span><a href="_add__Facet__Data__To__Complex.html" title="Adds to a complex facet data.">addFacetDataToComplex</a> -- Adds to a complex facet data.</span></li> <li><span><a id="B"/></span><span><a href="_big__Torus__Degree.html" title="The big torus degree of a deformation.">bigTorusDegree</a> -- The big torus degree of a deformation.</span></li> <li><span><a href="_boundary__Cyclic__Polytope.html" title="The boundary complex of a cyclic polytope.">boundaryCyclicPolytope</a> -- The boundary complex of a cyclic polytope.</span></li> <li><span><a href="_boundary__Of__Polytope.html" title="The boundary of a polytope.">boundaryOfPolytope</a> -- The boundary of a polytope.</span></li> <li><span><a id="C"/></span><span><a href="_closed__Star.html" title="The closed star of a face of a complex.">closedStar</a> -- The closed star of a face of a complex.</span></li> <li><span><a href="___Co__Complex.html" title="The class of all embedded co-complexes.">CoComplex</a> -- The class of all embedded co-complexes.</span></li> <li><span><a href="_co__Complex.html" title="Make a co-complex.">coComplex</a> -- Make a co-complex.</span></li> <li><span><a href="_co__Complex__To__Ideal.html" title="The monomial ideal associated to a CoComplex.">coComplexToIdeal</a> -- The monomial ideal associated to a CoComplex.</span></li> <li><span><a href="_coker__Element.html" title="Gives an element in the cokernel of a matrix.">cokerElement</a> -- Gives an element in the cokernel of a matrix.</span></li> <li><span><a href="_complement__Complex.html" title="Optional data of Complex.">complementComplex</a> -- Optional data of Complex.</span></li> <li><span><a href="___Complex.html" title="The class of all embedded complexes.">Complex</a> -- The class of all embedded complexes.</span></li> <li><span><a href="_complex.html" title="Make a complex.">complex</a> -- Make a complex.</span></li> <li><span><a href="_complex__From__Facets.html" title="Make a complex from its facets.">complexFromFacets</a> -- Make a complex from its facets.</span></li> <li><span><a href="_complex__To__Ideal.html" title="The monomial ideal associated to a complex.">complexToIdeal</a> -- The monomial ideal associated to a complex.</span></li> <li><span><a href="_compute__Faces.html" title="Compute faces of a simplex.">computeFaces</a> -- Compute faces of a simplex.</span></li> <li><span><a href="_conv__Hull.html" title="The convex hull complex.">convHull</a> -- The convex hull complex.</span></li> <li><span><a href="_coordinates.html" title="The coordinates of a face.">coordinates</a> -- The coordinates of a face.</span></li> <li><span><a id="D"/></span><span><a href="_deform.html" title="Compute the deformations associated to a Stanley-Reisner complex.">deform</a> -- Compute the deformations associated to a Stanley-Reisner complex.</span></li> <li><span><a href="_deformations__Face.html" title="Compute the deformations associated to a face.">deformationsFace</a> -- Compute the deformations associated to a face.</span></li> <li><span><a href="_denominator__Monomial.html" title="The denominator monomial of a deformation.">denominatorMonomial</a> -- The denominator monomial of a deformation.</span></li> <li><span><a href="_dual__Complex.html" title="Optional data of Complex.">dualComplex</a> -- Optional data of Complex.</span></li> <li><span><a href="_dual__Face.html" title="Optional data of Face.">dualFace</a> -- Optional data of Face.</span></li> <li><span><a href="_dual__Grading.html" title="The dual vertices of a polytope.">dualGrading</a> -- The dual vertices of a polytope.</span></li> <li><span><a href="_dualize.html" title="The dual of a face or complex.">dualize</a> -- The dual of a face or complex.</span></li> <li><span><a id="E"/></span><span><a href="_edim.html" title="The embedding dimension of a complex or co-complex.">edim</a> -- The embedding dimension of a complex or co-complex.</span></li> <li><span><a href="_embedded.html" title="Use only faces of the embedding complex.">embedded</a> -- Use only faces of the embedding complex.</span></li> <li><span><a href="_embedding__Complex.html" title="The embedding complex of a complex or co-complex.">embeddingComplex</a> -- The embedding complex of a complex or co-complex.</span></li> <li><span><a href="_euler__Characteristic.html" title="The Euler characteristic of a complex.">eulerCharacteristic</a> -- The Euler characteristic of a complex.</span></li> <li><span><a id="F"/></span><span><a href="___Face.html" title="The class of all faces of complexes or co-complexes.">Face</a> -- The class of all faces of complexes or co-complexes.</span></li> <li><span><a href="_face.html" title="Generate a face.">face</a> -- Generate a face.</span></li> <li><span><a href="_face__To__Monomial.html" title="The monomial of a face.">faceToMonomial</a> -- The monomial of a face.</span></li> <li><span><a href="_facets.html" title="The maximal faces of a complex.">facets</a> -- The maximal faces of a complex.</span></li> <li><span><a href="_fc.html" title="The faces of a complex.">fc</a> -- The faces of a complex.</span></li> <li><span><a href="_file.html" title="Store result of a computation in a file.">file</a> -- Store result of a computation in a file.</span></li> <li><span><a href="___First__Order__Deformation.html" title="The class of all first order deformations of monomial ideals.">FirstOrderDeformation</a> -- The class of all first order deformations of monomial ideals.</span></li> <li><span><a href="_first__Order__Deformation.html" title="Makes a first order deformation.">firstOrderDeformation</a> -- Makes a first order deformation.</span></li> <li><span><a href="_full__Cyclic__Polytope.html" title="Cyclic polytope.">fullCyclicPolytope</a> -- Cyclic polytope.</span></li> <li><span><a href="_fvector.html" title="The F-vector of a complex.">fvector</a> -- The F-vector of a complex.</span></li> <li><span><a id="G"/></span><span><a href="_gens__Source.html" title="Generators of the source of a deformation.">gensSource</a> -- Generators of the source of a deformation.</span></li> <li><span><a href="_global__Sections.html" title="The global sections of a toric divisor.">globalSections</a> -- The global sections of a toric divisor.</span></li> <li><span><a href="_grading.html" title="The grading of a first order deformation or complex or polynomial ring.">grading</a> -- The grading of a first order deformation or complex or polynomial ring.</span></li> <li><span><a id="H"/></span><span><a href="_hull.html" title="The positive hull complex.">hull</a> -- The positive hull complex.</span></li> <li><span><a id="I"/></span><span><a href="_ideal__To__Co__Complex.html" title="The co-complex associated to a reduced monomial ideal.">idealToCoComplex</a> -- The co-complex associated to a reduced monomial ideal.</span></li> <li><span><a href="_ideal__To__Complex.html" title="The complex associated to a reduced monomial ideal.">idealToComplex</a> -- The complex associated to a reduced monomial ideal.</span></li> <li><span><a href="_intersect__Faces.html" title="The intersection of two faces.">intersectFaces</a> -- The intersection of two faces.</span></li> <li><span><a href="_is__Equidimensional.html" title="Check whether a complex or co-complex is equidimensional.">isEquidimensional</a> -- Check whether a complex or co-complex is equidimensional.</span></li> <li><span><a href="_is__Nonzero.html" title="Check whether a deformation is non-zero.">isNonzero</a> -- Check whether a deformation is non-zero.</span></li> <li><span><a href="_is__Polytope.html" title="Check whether a complex is a polytope.">isPolytope</a> -- Check whether a complex is a polytope.</span></li> <li><span><a href="_is__Simplicial.html" title="Check whether a complex or co-complex is simplicial.">isSimplicial</a> -- Check whether a complex or co-complex is simplicial.</span></li> <li><span><a href="_is__Subface.html" title="Checks whether a face is a subface of another face.">isSubface</a> -- Checks whether a face is a subface of another face.</span></li> <li><span><a href="_is__Trivial.html" title="Check whether a deformation is trivial.">isTrivial</a> -- Check whether a deformation is trivial.</span></li> <li><span><a href="_iszero.html" title="Tests whether something is zero.">iszero</a> -- Tests whether something is zero.</span></li> <li><span><a id="J"/></span><span><a href="_join__Vectors.html" title="Converts a list of vectors to a matrix.">joinVectors</a> -- Converts a list of vectors to a matrix.</span></li> <li><span><a id="K"/><a id="L"/></span><span><a href="_laurent.html" title="Converts an exponent vector or a deformation into a Laurent monomial.">laurent</a> -- Converts an exponent vector or a deformation into a Laurent monomial.</span></li> <li><span><a href="_link.html" title="The link of a face of a complex.">link</a> -- The link of a face of a complex.</span></li> <li><span><a href="_load__Deformations.html" title="Read the deformation data of a complex from a file.">loadDeformations</a> -- Read the deformation data of a complex from a file.</span></li> <li><span><a id="M"/></span><span><a href="_minimal__Non__Faces.html" title="The minimal non-faces of a complex.">minimalNonFaces</a> -- The minimal non-faces of a complex.</span></li> <li><span><a href="_mirror__Sphere.html" title="Example how to compute the mirror sphere.">mirrorSphere</a> -- Example how to compute the mirror sphere.</span></li> <li><span><a id="N"/></span><span><a href="_new__Empty__Complex.html" title="Generates an empty complex.">newEmptyComplex</a> -- Generates an empty complex.</span></li> <li><span><a href="_no__Boundary.html" title="Optional data of Complex.">noBoundary</a> -- Optional data of Complex.</span></li> <li><span><a href="_numerator__Monomial.html" title="The numerator monomial of a deformation.">numeratorMonomial</a> -- The numerator monomial of a deformation.</span></li> <li><span><a id="O"/></span><span><a href="_of__Complex.html" title="The complex of a face.">ofComplex</a> -- The complex of a face.</span></li> <li><span><a id="P"/></span><span><a href="_parameters.html" title="Parameters of a deformation.">parameters</a> -- Parameters of a deformation.</span></li> <li><span><a href="_polytopal__Facets.html" title="The facets of a polytope.">polytopalFacets</a> -- The facets of a polytope.</span></li> <li><span><a href="_possible__Denominators.html" title="Possible denominators of deformations.">possibleDenominators</a> -- Possible denominators of deformations.</span></li> <li><span><a href="_pre__Image.html" title="Compute the preimage.">preImage</a> -- Compute the preimage.</span></li> <li><span><a href="___P__T1.html" title="Compute the deformation polytope associated to a Stanley-Reisner complex.">PT1</a> -- Compute the deformation polytope associated to a Stanley-Reisner complex.</span></li> <li><span><a id="Q"/><a id="R"/></span><span><a href="_rays__P__Pn.html" title="The rays of the standard fan of projective space.">raysPPn</a> -- The rays of the standard fan of projective space.</span></li> <li><span><a href="_relations__Coefficients.html" title="Relations between the coefficients of a deformation.">relationsCoefficients</a> -- Relations between the coefficients of a deformation.</span></li> <li><span><a id="S"/></span><span><a href="_save__Deformations.html" title="Store the deformation data of a complex in a file.">saveDeformations</a> -- Store the deformation data of a complex in a file.</span></li> <li><span><a href="_simplex.html" title="Simplex in the variables of a polynomial ring.">simplex</a> -- Simplex in the variables of a polynomial ring.</span></li> <li><span><a href="_simplex__Dim.html" title="The dimension of a face inside the vertex simplex.">simplexDim</a> -- The dimension of a face inside the vertex simplex.</span></li> <li><span><a href="_simplex__Ring.html" title="The underlying polynomial ring of a deformation or face or complex.">simplexRing</a> -- The underlying polynomial ring of a deformation or face or complex.</span></li> <li><span><a href="index.html" title="Deformations of Stanley-Reisner rings and related computations.">SRdeformations</a> -- Deformations of Stanley-Reisner rings and related computations.</span></li> <li><span><a id="T"/></span><span><a href="_to__Hom.html" title="Convert a first order deformation into a homomorphism.">toHom</a> -- Convert a first order deformation into a homomorphism.</span></li> <li><span><a href="_total__Space.html" title="Total space of a deformation.">totalSpace</a> -- Total space of a deformation.</span></li> <li><span><a href="_trivial__Deformations.html" title="Compute the trivial deformations.">trivialDeformations</a> -- Compute the trivial deformations.</span></li> <li><span><a href="_trop__Def.html" title="The co-complex of tropical faces of the deformation polytope.">tropDef</a> -- The co-complex of tropical faces of the deformation polytope.</span></li> <li><span><a id="U"/><a id="V"/></span><span><a href="_variables.html" title="The variables of a complex or co-complex.">variables</a> -- The variables of a complex or co-complex.</span></li> <li><span><a href="_vector__To__Monomial.html" title="Converts an exponent vector into a monomial.">vectorToMonomial</a> -- Converts an exponent vector into a monomial.</span></li> <li><span><a href="_vert.html" title="The vertices of a face or complex.">vert</a> -- The vertices of a face or complex.</span></li> <li><span><a href="_vertices__Dual__Polytope.html" title="The dual vertices of a polytope.">verticesDualPolytope</a> -- The dual vertices of a polytope.</span></li> </ul> <div><span><a id="W"/><a id="X"/><a id="Y"/><a id="Z"/></span></div> </body> </html>
