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<head><title>MethodFunction -- a type of method function</title>
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<div><h1>MethodFunction -- a type of method function</h1>
<div class="single"><h2>Description</h2>
<div>Functions of this type are created by <a href="_method.html" title="make a new method function">method</a>.</div>
</div>
<div class="waystouse"><h2>Functions and methods returning an object of class MethodFunction :</h2>
<ul><li><span><a href="_method.html" title="make a new method function">method</a> -- make a new method function</span></li>
</ul>
<h2>Fixed objects of class MethodFunction :</h2>
<ul><li><span><a href="_accumulate.html" title="apply binary operator repeatedly">accumulate</a> -- apply binary operator repeatedly</span></li>
<li><span><a href="_acosh.html" title="inverse hyperbolic cosine">acosh</a> -- inverse hyperbolic cosine</span></li>
<li><span><a href="_acot.html" title="compute the inverse cotangent">acot</a> -- compute the inverse cotangent</span></li>
<li><span><a href="_add__Hook.html" title="add a hook function to an object for later processing">addHook</a> -- add a hook function to an object for later processing</span></li>
<li><span>adjoint, see <span><a href="_adjoint_lp__Matrix_cm__Module_cm__Module_rp.html" title="an adjoint map">adjoint(Matrix,Module,Module)</a> -- an adjoint map</span></span></li>
<li><span>adjoint1, see <span><a href="_adjoint1_lp__Matrix_cm__Module_cm__Module_rp.html" title="an adjoint map">adjoint1(Matrix,Module,Module)</a> -- an adjoint map</span></span></li>
<li><span><a href="_all.html" title="whether all elements satisfy a specified condition">all</a> -- whether all elements satisfy a specified condition</span></li>
<li><span><a href="_ambient.html" title="ambient free module of a subquotient, or ambient ring">ambient</a> -- ambient free module of a subquotient, or ambient ring</span></li>
<li><span><a href="../../ReesAlgebra/html/_analytic__Spread.html" title="compute the analytic spread of a module or ideal">analyticSpread</a> -- compute the analytic spread of a module or ideal</span></li>
<li><span>apropos, see <span><a href="_apropos_lp__String_rp.html" title="symbols matching a pattern">apropos(String)</a> -- symbols matching a pattern</span></span></li>
<li><span><a href="_asinh.html" title="inverse hyperbolic sine">asinh</a> -- inverse hyperbolic sine</span></li>
<li><span>autoload, see <span><a href="_autoload_lp__Symbol_cm__String_rp.html" title="arrange for a function to be loaded automatically">autoload(Symbol,String)</a> -- arrange for a function to be loaded automatically</span></span></li>
<li><span><a href="_base__Name.html" title="the base name of a generator">baseName</a> -- the base name of a generator</span></li>
<li><span><a href="_between.html" title="insert something between elements of a list">between</a> -- insert something between elements of a list</span></li>
<li><span><a href="_binomial.html" title="binomial coefficient">binomial</a> -- binomial coefficient</span></li>
<li><span>borel, see <span><a href="_borel_lp__Matrix_rp.html" title="make a Borel fixed submodule">borel(Matrix)</a> -- make a Borel fixed submodule</span></span></li>
<li><span>capture, see <span><a href="_capture_lp__String_rp.html" title="evaluate Macaulay2 code and capture the output (under development)">capture(String)</a> -- evaluate Macaulay2 code and capture the output (under development)</span></span></li>
<li><span><a href="_char.html" title="computes the characteristic of the ring or field">char</a> -- computes the characteristic of the ring or field</span></li>
<li><span><a href="_clean.html" title="Set to zero elements that are approximately zero">clean</a> -- Set to zero elements that are approximately zero</span></li>
<li><span><a href="_coefficient.html" title="coefficient of a monomial">coefficient</a> -- coefficient of a monomial</span></li>
<li><span><a href="_coefficient__Ring.html" title="get the coefficient ring">coefficientRing</a> -- get the coefficient ring</span></li>
<li><span><a href="_coimage.html" title="coimage of a map">coimage</a> -- coimage of a map</span></li>
<li><span><a href="_cokernel.html" title="cokernel of a map of modules, graded modules, or chaincomplexes">cokernel</a> -- cokernel of a map of modules, graded modules, or chaincomplexes</span></li>
<li><span><a href="_column__Add.html" title="add a multiple of one column to another">columnAdd</a> -- add a multiple of one column to another</span></li>
<li><span><a href="_column__Mult.html" title="multiply a column by a ring element">columnMult</a> -- multiply a column by a ring element</span></li>
<li><span><a href="_column__Permute.html" title="permute some columns">columnPermute</a> -- permute some columns</span></li>
<li><span><a href="_column__Swap.html" title="interchange columns">columnSwap</a> -- interchange columns</span></li>
<li><span><a href="_common__Ring.html" title="find smallest containing ring">commonRing</a> -- find smallest containing ring</span></li>
<li><span><a href="_comodule.html" title="submodule to quotient module">comodule</a> -- submodule to quotient module</span></li>
<li><span>complement, see <span><a href="_complement_lp__Matrix_rp.html" title="find the minimal generators for cokernel of a matrix (low level form)">complement(Matrix)</a> -- find the minimal generators for cokernel of a matrix (low level form)</span></span></li>
<li><span><a href="_complete.html" title="">complete</a></span></li>
<li><span><a href="_components.html" title="list the components of a direct sum">components</a> -- list the components of a direct sum</span></li>
<li><span><a href="_compositions.html" title="compositions of an integer">compositions</a> -- compositions of an integer</span></li>
<li><span><a href="_compress.html" title="extract nonzero columns from a matrix">compress</a> -- extract nonzero columns from a matrix</span></li>
<li><span><a href="../../IntegralClosure/html/_conductor.html" title="the conductor of a finite ring map">conductor</a> -- the conductor of a finite ring map</span></li>
<li><span><a href="_cone.html" title="mapping cone of a chain map">cone</a> -- mapping cone of a chain map</span></li>
<li><span><a href="_conjugate.html" title="complex conjugate">conjugate</a> -- complex conjugate</span></li>
<li><span>content, see <span><a href="_content_lp__Ring__Element_rp.html" title="the content of a polynomial">content(RingElement)</a> -- the content of a polynomial</span></span></li>
<li><span><a href="_contract.html" title="contract one matrix by another">contract</a> -- contract one matrix by another</span></li>
<li><span>contract', see <span><a href="_contract_sq_lp__Matrix_cm__Matrix_rp.html" title="contract a matrix by a matrix, the dual notion">contract'(Matrix,Matrix)</a> -- contract a matrix by a matrix, the dual notion</span></span></li>
<li><span><a href="../../ConwayPolynomials/html/_conway__Polynomial.html" title="provide a Conway polynomial">conwayPolynomial</a> -- provide a Conway polynomial</span></li>
<li><span><a href="_cover.html" title="get the covering free module">cover</a> -- get the covering free module</span></li>
<li><span>coverMap, see <span><a href="_cover__Map_lp__Module_rp.html" title="the surjective map from a free module to a module corresponding to the generators">coverMap(Module)</a> -- the surjective map from a free module to a module corresponding to the generators</span></span></li>
<li><span><a href="_debug.html" title="open private dictionary of a package">debug</a> -- open private dictionary of a package</span></li>
<li><span><a href="_default.html" title="default member of a family">default</a> -- default member of a family</span></li>
<li><span><a href="_degree.html" title="">degree</a></span></li>
<li><span><a href="_degree__Length.html" title="the number of degrees">degreeLength</a> -- the number of degrees</span></li>
<li><span><a href="_degrees.html" title="degrees of generators">degrees</a> -- degrees of generators</span></li>
<li><span><a href="_degrees__Monoid.html" title="get the monoid of degrees">degreesMonoid</a> -- get the monoid of degrees</span></li>
<li><span><a href="_degrees__Ring.html" title="the ring of degrees">degreesRing</a> -- the ring of degrees</span></li>
<li><span><a href="_denominator.html" title="denominator of a fraction">denominator</a> -- denominator of a fraction</span></li>
<li><span><a href="_depth.html" title="depth of a net">depth</a> -- depth of a net</span></li>
<li><span><a href="_describe.html" title="real description">describe</a> -- real description</span></li>
<li><span><a href="_diagonal__Matrix.html" title="make a diagonal matrix">diagonalMatrix</a> -- make a diagonal matrix</span></li>
<li><span><a href="_dictionary.html" title="determine the dictionary to which a symbol belongs">dictionary</a> -- determine the dictionary to which a symbol belongs</span></li>
<li><span><a href="_diff.html" title="differentiate or take difference">diff</a> -- differentiate or take difference</span></li>
<li><span>diff', see <span><a href="_diff_sq_lp__Matrix_cm__Matrix_rp.html" title="differentiate a matrix by a matrix, the dual notion">diff'(Matrix,Matrix)</a> -- differentiate a matrix by a matrix, the dual notion</span></span></li>
<li><span><a href="_dim.html" title="compute the Krull dimension">dim</a> -- compute the Krull dimension</span></li>
<li><span>discriminant, see <span><a href="../../Elimination/html/_discriminant_lp__Ring__Element_cm__Ring__Element_rp.html" title="">discriminant(RingElement,RingElement)</a></span></span></li>
<li><span><a href="_dismiss.html" title="dismiss a package">dismiss</a> -- dismiss a package</span></li>
<li><span><a href="_divide__By__Variable.html" title="divide all columns by a (power of a) variable">divideByVariable</a> -- divide all columns by a (power of a) variable</span></li>
<li><span>doc, see <span><a href="../../SimpleDoc/html/_doc_lp__String_rp.html" title="a simple documentation function">doc(String)</a> -- a simple documentation function</span></span></li>
<li><span>eagonNorthcott, see <span><a href="_eagon__Northcott_lp__Matrix_rp.html" title="Eagon-Northcott complex of a matrix of linear forms">eagonNorthcott(Matrix)</a> -- Eagon-Northcott complex of a matrix of linear forms</span></span></li>
<li><span><a href="_elements.html" title="list of elements">elements</a> -- list of elements</span></li>
<li><span><a href="../../Elimination/html/_eliminate.html" title="">eliminate</a></span></li>
<li><span>endPackage, see <span><a href="_end__Package_lp__String_rp.html" title="end a new package">endPackage(String)</a> -- end a new package</span></span></li>
<li><span><a href="_entries.html" title="lists the entries of a matrix">entries</a> -- lists the entries of a matrix</span></li>
<li><span><a href="_euler.html" title="Euler characteristic">euler</a> -- Euler characteristic</span></li>
<li><span><a href="_eulers.html" title="list the sectional Euler characteristics">eulers</a> -- list the sectional Euler characteristics</span></li>
<li><span><a href="_exponents.html" title="list the exponents in a polynomial">exponents</a> -- list the exponents in a polynomial</span></li>
<li><span><a href="___Fano.html" title="Fano scheme">Fano</a> -- Fano scheme</span></li>
<li><span>findSynonyms, see <span><a href="_find__Synonyms_lp__Symbol_rp.html" title="find synonyms of symbols">findSynonyms(Symbol)</a> -- find synonyms of symbols</span></span></li>
<li><span><a href="_fitting__Ideal.html" title="Fitting ideal of a module">fittingIdeal</a> -- Fitting ideal of a module</span></li>
<li><span>flip, see <span><a href="_flip_lp__Module_cm__Module_rp.html" title="matrix of commutativity of tensor product">flip(Module,Module)</a> -- matrix of commutativity of tensor product</span></span></li>
<li><span><a href="_fold.html" title="apply binary operator repeatedly">fold</a> -- apply binary operator repeatedly</span></li>
<li><span><a href="_frac.html" title="construct a fraction field">frac</a> -- construct a fraction field</span></li>
<li><span><a href="_fraction.html" title="">fraction</a></span></li>
<li><span><a href="_from__Dual.html" title="ideal from inverse system">fromDual</a> -- ideal from inverse system</span></li>
<li><span><a href="_gb__Remove.html" title="remove Gröbner basis">gbRemove</a> -- remove Gröbner basis</span></li>
<li><span><a href="_gb__Snapshot.html" title="the Gröbner basis matrix as so far computed">gbSnapshot</a> -- the Gröbner basis matrix as so far computed</span></li>
<li><span><a href="_gcd__Coefficients.html" title="gcd with coefficients">gcdCoefficients</a> -- gcd with coefficients</span></li>
<li><span><a href="_genera.html" title="list of the successive linear sectional arithmetic genera">genera</a> -- list of the successive linear sectional arithmetic genera</span></li>
<li><span><a href="_generate__Assertions.html" title="generate assert statements from experimental input">generateAssertions</a> -- generate assert statements from experimental input</span></li>
<li><span><a href="_generator.html" title="provide a single generator">generator</a> -- provide a single generator</span></li>
<li><span><a href="_generic__Matrix.html" title="make a generic matrix of variables">genericMatrix</a> -- make a generic matrix of variables</span></li>
<li><span><a href="_generic__Skew__Matrix.html" title="make a generic skew symmetric matrix of variables">genericSkewMatrix</a> -- make a generic skew symmetric matrix of variables</span></li>
<li><span><a href="_generic__Symmetric__Matrix.html" title="make a generic symmetric matrix">genericSymmetricMatrix</a> -- make a generic symmetric matrix</span></li>
<li><span><a href="_genus.html" title="arithmetic genus">genus</a> -- arithmetic genus</span></li>
<li><span><a href="_get__Change__Matrix.html" title="get the change of basis matrix">getChangeMatrix</a> -- get the change of basis matrix</span></li>
<li><span><a href="_get__W__W__W.html" title="get a web page">getWWW</a> -- get a web page</span></li>
<li><span><tt>gramm</tt> (missing documentation<!-- tag: gramm -->)</span></li>
<li><span><a href="_heft.html" title="heft vector of ring, module, graded module, or resolution">heft</a> -- heft vector of ring, module, graded module, or resolution</span></li>
<li><span><a href="_height.html" title="height of a net">height</a> -- height of a net</span></li>
<li><span><a href="_hilbert__Function.html" title="the Hilbert function">hilbertFunction</a> -- the Hilbert function</span></li>
<li><span><a href="___Hom.html" title="module of homomorphisms">Hom</a> -- module of homomorphisms</span></li>
<li><span><a href="_homogenize.html" title="homogenize with respect to a variable">homogenize</a> -- homogenize with respect to a variable</span></li>
<li><span><a href="_homomorphism.html" title="get the homomorphism from element of Hom">homomorphism</a> -- get the homomorphism from element of Hom</span></li>
<li><span>httpHeaders, see <span><a href="_http__Headers_lp__String_rp.html" title="prepend http headers to a string">httpHeaders(String)</a> -- prepend http headers to a string</span></span></li>
<li><span><a href="../../IntegralClosure/html/_ic__Fractions.html" title="fractions integral over an affine domain">icFractions</a> -- fractions integral over an affine domain</span></li>
<li><span><a href="../../IntegralClosure/html/_ic__Map.html" title="natural map from an affine domain into its integral closure">icMap</a> -- natural map from an affine domain into its integral closure</span></li>
<li><span><a href="../../IntegralClosure/html/_ic__P__Ideal.html" title="compute the integral closure in prime characteristic of a principal ideal">icPIdeal</a> -- compute the integral closure in prime characteristic of a principal ideal</span></li>
<li><span><a href="_image.html" title="image of a map">image</a> -- image of a map</span></li>
<li><span><a href="_index.html" title="numeric index of a ring variable">index</a> -- numeric index of a ring variable</span></li>
<li><span><a href="_indices.html" title="indices of a polynomial; also components for a direct sum">indices</a> -- indices of a polynomial; also components for a direct sum</span></li>
<li><span><a href="_induces__Well__Defined__Map.html" title="whether a map is well defined">inducesWellDefinedMap</a> -- whether a map is well defined</span></li>
<li><span>insert, see <span><a href="_insert_lp__Z__Z_cm__Thing_cm__Visible__List_rp.html" title="copy a list, inserting an element">insert(ZZ,Thing,VisibleList)</a> -- copy a list, inserting an element</span></span></li>
<li><span><a href="_install__Assignment__Method.html" title="install methods assignment to the value of an operator">installAssignmentMethod</a> -- install methods assignment to the value of an operator</span></li>
<li><span><a href="_install__Hilbert__Function.html" title="install a Hilbert function without computation">installHilbertFunction</a> -- install a Hilbert function without computation</span></li>
<li><span>instances, see <span><a href="_instances_lp__Type_rp.html" title="">instances(Type)</a></span></span></li>
<li><span><a href="_inverse.html" title="compute the inverse">inverse</a> -- compute the inverse</span></li>
<li><span><a href="_irreducible__Characteristic__Series.html" title="irreducible characteristic series of an ideal">irreducibleCharacteristicSeries</a> -- irreducible characteristic series of an ideal</span></li>
<li><span>irreducibleDecomposition, see <span><a href="../../PrimaryDecomposition/html/_irreducible__Decomposition_lp__Monomial__Ideal_rp.html" title="express a monomial ideal as an intersection of irreducible monomial ideals">irreducibleDecomposition(MonomialIdeal)</a> -- express a monomial ideal as an intersection of irreducible monomial ideals</span></span></li>
<li><span><a href="_is__Affine__Ring.html" title="whether something is an affine ring">isAffineRing</a> -- whether something is an affine ring</span></li>
<li><span><a href="_is__Borel.html" title="whether an ideal is fixed by upper triangular changes of coordinates">isBorel</a> -- whether an ideal is fixed by upper triangular changes of coordinates</span></li>
<li><span><a href="_is__Commutative.html" title="whether a ring is commutative">isCommutative</a> -- whether a ring is commutative</span></li>
<li><span><a href="_is__Constant.html" title="whether a ring element is constant">isConstant</a> -- whether a ring element is constant</span></li>
<li><span><a href="_is__Direct__Sum.html" title="whether something is a direct sum">isDirectSum</a> -- whether something is a direct sum</span></li>
<li><span><a href="_is__Field.html" title="whether something is a field">isField</a> -- whether something is a field</span></li>
<li><span><a href="_is__Free__Module.html" title="whether something is a free module">isFreeModule</a> -- whether something is a free module</span></li>
<li><span><a href="_is__Homogeneous.html" title="whether something is homogeneous (graded)">isHomogeneous</a> -- whether something is homogeneous (graded)</span></li>
<li><span><a href="_is__Ideal.html" title="whether something is an ideal">isIdeal</a> -- whether something is an ideal</span></li>
<li><span><a href="_is__Injective.html" title="whether a map is injective">isInjective</a> -- whether a map is injective</span></li>
<li><span><a href="_is__Isomorphism.html" title="whether a map is an isomorphism">isIsomorphism</a> -- whether a map is an isomorphism</span></li>
<li><span><a href="../../ReesAlgebra/html/_is__Linear__Type.html" title="is a module of linear type">isLinearType</a> -- is a module of linear type</span></li>
<li><span><a href="_is__Module.html" title="whether something is a module">isModule</a> -- whether something is a module</span></li>
<li><span><a href="_is__Monomial__Ideal.html" title="whether something is a monomial ideal">isMonomialIdeal</a> -- whether something is a monomial ideal</span></li>
<li><span><a href="../../IntegralClosure/html/_is__Normal.html" title="determine if a reduced ring is normal">isNormal</a> -- determine if a reduced ring is normal</span></li>
<li><span><a href="_is__Polynomial__Ring.html" title="whether someting is a polynomial ring">isPolynomialRing</a> -- whether someting is a polynomial ring</span></li>
<li><span><a href="../../PrimaryDecomposition/html/_is__Primary.html" title="determine whether an ideal is primary">isPrimary</a> -- determine whether an ideal is primary</span></li>
<li><span><a href="_is__Prime.html" title="whether a integer, polynomial, or ideal is prime">isPrime</a> -- whether a integer, polynomial, or ideal is prime</span></li>
<li><span>isPseudoprime, see <span><a href="_is__Pseudoprime_lp__Z__Z_rp.html" title="whether an integer is a pseudoprime">isPseudoprime(ZZ)</a> -- whether an integer is a pseudoprime</span></span></li>
<li><span><a href="_is__Quotient__Module.html" title="whether something is evidently a quotient of a free module">isQuotientModule</a> -- whether something is evidently a quotient of a free module</span></li>
<li><span><a href="_is__Quotient__Of.html" title="whether one thing is a quotient of another">isQuotientOf</a> -- whether one thing is a quotient of another</span></li>
<li><span><a href="_is__Quotient__Ring.html" title="whether something is a quotient ring">isQuotientRing</a> -- whether something is a quotient ring</span></li>
<li><span><a href="_is__Real.html" title="whether a number is real">isReal</a> -- whether a number is real</span></li>
<li><span><a href="_is__Ring.html" title="whether something is a ring">isRing</a> -- whether something is a ring</span></li>
<li><span><a href="_is__Skew__Commutative.html" title="whether a ring has skew commuting variables">isSkewCommutative</a> -- whether a ring has skew commuting variables</span></li>
<li><span><a href="_is__Square__Free.html" title="whether something is square free monomial ideal">isSquareFree</a> -- whether something is square free monomial ideal</span></li>
<li><span><a href="_is__Submodule.html" title="whether a module is evidently a submodule of a free module">isSubmodule</a> -- whether a module is evidently a submodule of a free module</span></li>
<li><span>isSubquotient, see <span><a href="_is__Subquotient_lp__Module_cm__Module_rp.html" title="check whether a module is a subquotient of another">isSubquotient(Module,Module)</a> -- check whether a module is a subquotient of another</span></span></li>
<li><span><a href="_is__Subset.html" title="whether one object is a subset of another">isSubset</a> -- whether one object is a subset of another</span></li>
<li><span><a href="_is__Surjective.html" title="whether a map is surjective">isSurjective</a> -- whether a map is surjective</span></li>
<li><span><a href="_is__Unit.html" title="whether a ring element is a unit">isUnit</a> -- whether a ring element is a unit</span></li>
<li><span><a href="_is__Well__Defined.html" title="whether a map is well defined">isWellDefined</a> -- whether a map is well defined</span></li>
<li><span><a href="_jacobian.html" title="the Jacobian matrix of partial derivatives">jacobian</a> -- the Jacobian matrix of partial derivatives</span></li>
<li><span><a href="_koszul.html" title="Koszul complex or specific matrix in the Koszul complex">koszul</a> -- Koszul complex or specific matrix in the Koszul complex</span></li>
<li><span><a href="_lead__Coefficient.html" title="the leading coefficient">leadCoefficient</a> -- the leading coefficient</span></li>
<li><span><a href="_lead__Component.html" title="the leading component of a vector or matrix">leadComponent</a> -- the leading component of a vector or matrix</span></li>
<li><span><a href="_lead__Monomial.html" title="the leading monomial">leadMonomial</a> -- the leading monomial</span></li>
<li><span><a href="_lead__Term.html" title="get the greatest term">leadTerm</a> -- get the greatest term</span></li>
<li><span><a href="_liftable.html" title="whether lifting to another ring is possible">liftable</a> -- whether lifting to another ring is possible</span></li>
<li><span><a href="_list__Form.html" title="convert to list form">listForm</a> -- convert to list form</span></li>
<li><span><a href="_list__Symbols.html" title="compact display of symbols and their values">listSymbols</a> -- compact display of symbols and their values</span></li>
<li><span><a href="_lngamma.html" title="logarithm of the Gamma function">lngamma</a> -- logarithm of the Gamma function</span></li>
<li><span><a href="___L__Udecomposition.html" title="LU decomposition">LUdecomposition</a> -- LU decomposition</span></li>
<li><span>makeDirectory, see <span><a href="_make__Directory_lp__String_rp.html" title="make a directory">makeDirectory(String)</a> -- make a directory</span></span></li>
<li><span><a href="../../IntegralClosure/html/_make__S2.html" title="compute the S2ification of a reduced ring">makeS2</a> -- compute the S2ification of a reduced ring</span></li>
<li><span>match, see <span><a href="_match_lp__String_cm__String_rp.html" title="regular expression matching">match(String,String)</a> -- regular expression matching</span></span></li>
<li><span><a href="_member.html" title="test membership in a list or set">member</a> -- test membership in a list or set</span></li>
<li><span><a href="_memoize.html" title="record results of function evaluation for future use">memoize</a> -- record results of function evaluation for future use</span></li>
<li><span>methodOptions, see <span><a href="_method__Options_lp__Function_rp.html" title="recover the options used when a method function was created">methodOptions(Function)</a> -- recover the options used when a method function was created</span></span></li>
<li><span>decompose, see <span><a href="_minimal__Primes.html" title="minimal associated primes of an ideal">minimalPrimes</a> -- minimal associated primes of an ideal</span></span></li>
<li><span><a href="_minimal__Primes.html" title="minimal associated primes of an ideal">minimalPrimes</a> -- minimal associated primes of an ideal</span></li>
<li><span><a href="_module.html" title="make or get a module">module</a> -- make or get a module</span></li>
<li><span><a href="_monomial__Subideal.html" title="find the largest monomial ideal in an ideal">monomialSubideal</a> -- find the largest monomial ideal in an ideal</span></li>
<li><span><a href="_multidegree.html" title="multidegree">multidegree</a> -- multidegree</span></li>
<li><span><a href="../../ReesAlgebra/html/_multiplicity.html" title="compute the Hilbert-Samuel multiplicity of an ideal">multiplicity</a> -- compute the Hilbert-Samuel multiplicity of an ideal</span></li>
<li><span><a href="_new__Coordinate__System.html" title="change variables">newCoordinateSystem</a> -- change variables</span></li>
<li><span><a href="_norm.html" title="">norm</a></span></li>
<li><span><a href="_nullhomotopy.html" title="make a null homotopy">nullhomotopy</a> -- make a null homotopy</span></li>
<li><span>numColumns, see <span><a href="_num__Columns_lp__Matrix_rp.html" title="number of columns in a matrix or mutable matrix">numColumns(Matrix)</a> -- number of columns in a matrix or mutable matrix</span></span></li>
<li><span><a href="_numerator.html" title="numerator of a fraction">numerator</a> -- numerator of a fraction</span></li>
<li><span><a href="_numeric.html" title="convert to floating point">numeric</a> -- convert to floating point</span></li>
<li><span><a href="_numgens.html" title="the number of generators">numgens</a> -- the number of generators</span></li>
<li><span>numRows, see <span><a href="_num__Rows_lp__Matrix_rp.html" title="number of rows in a matrix or mutable matrix">numRows(Matrix)</a> -- number of rows in a matrix or mutable matrix</span></span></li>
<li><span><a href="_of__Class.html" title="English phrases for types">ofClass</a> -- English phrases for types</span></li>
<li><span><a href="../../SimpleDoc/html/_package__Template.html" title="a template for a package">packageTemplate</a> -- a template for a package</span></li>
<li><span><a href="_pad.html" title="pad a string with spaces">pad</a> -- pad a string with spaces</span></li>
<li><span><a href="_part.html" title="select terms of a polynomial by degree or weight">part</a> -- select terms of a polynomial by degree or weight</span></li>
<li><span><a href="_partition.html" title="partition a set or list by values of a function">partition</a> -- partition a set or list by values of a function</span></li>
<li><span><a href="_partitions.html" title="list the partitions of an integer">partitions</a> -- list the partitions of an integer</span></li>
<li><span>parts, see <span><a href="_parts_lp__Ring__Element_rp.html" title="display a polynomial degree by degree">parts(RingElement)</a> -- display a polynomial degree by degree</span></span></li>
<li><span><a href="_pdim.html" title="calculate the projective dimension">pdim</a> -- calculate the projective dimension</span></li>
<li><span>peek', see <span><a href="_peek_sq_lp__Z__Z_cm__Thing_rp.html" title="examine contents of an object">peek'(ZZ,Thing)</a> -- examine contents of an object</span></span></li>
<li><span><a href="_permanents.html" title="ideal generated by square permanents of a matrix">permanents</a> -- ideal generated by square permanents of a matrix</span></li>
<li><span><a href="_permutations.html" title="produce all permutations of a list">permutations</a> -- produce all permutations of a list</span></li>
<li><span><a href="_pfaffians.html" title="ideal generated by Pfaffians">pfaffians</a> -- ideal generated by Pfaffians</span></li>
<li><span>pivots, see <span><a href="_pivots_lp__Matrix_rp.html" title="list of pivot locations of a matrix">pivots(Matrix)</a> -- list of pivot locations of a matrix</span></span></li>
<li><span><a href="_poincare.html" title="assemble degrees into polynomial">poincare</a> -- assemble degrees into polynomial</span></li>
<li><span><a href="_poincare__N.html" title="assemble degrees into polynomial">poincareN</a> -- assemble degrees into polynomial</span></li>
<li><span>poly, see <span><a href="../../Classic/html/_poly_lp__String_rp.html" title="make a polynomial using classic Macaulay syntax">poly(String)</a> -- make a polynomial using classic Macaulay syntax</span></span></li>
<li><span>positions, see <span><a href="_positions_lp__Visible__List_cm__Function_rp.html" title="which elements of a list satisfy a condition">positions(VisibleList,Function)</a> -- which elements of a list satisfy a condition</span></span></li>
<li><span><a href="_precision.html" title="">precision</a></span></li>
<li><span><a href="_preimage.html" title="preimage of an ideal under a ring map">preimage</a> -- preimage of an ideal under a ring map</span></li>
<li><span><a href="_presentation.html" title="presentation of a module or ring">presentation</a> -- presentation of a module or ring</span></li>
<li><span><a href="_product.html" title="">product</a></span></li>
<li><span><a href="_profile.html" title="profile a function">profile</a> -- profile a function</span></li>
<li><span>Proj, see <span><a href="___Proj_lp__Ring_rp.html" title="make a projective variety">Proj(Ring)</a> -- make a projective variety</span></span></li>
<li><span><a href="_projective__Hilbert__Polynomial.html" title="Hilbert polynomial of projective space">projectiveHilbertPolynomial</a> -- Hilbert polynomial of projective space</span></li>
<li><span><a href="_promote.html" title="promote to another ring">promote</a> -- promote to another ring</span></li>
<li><span><a href="_pseudo__Remainder.html" title="compute the pseudo-remainder">pseudoRemainder</a> -- compute the pseudo-remainder</span></li>
<li><span><a href="_quotient_sq.html" title="matrix quotient (opposite)">quotient'</a> -- matrix quotient (opposite)</span></li>
<li><span><a href="_quotient__Remainder.html" title="matrix quotient and remainder">quotientRemainder</a> -- matrix quotient and remainder</span></li>
<li><span><a href="_quotient__Remainder_sq.html" title="matrix quotient and remainder (opposite)">quotientRemainder'</a> -- matrix quotient and remainder (opposite)</span></li>
<li><span><a href="_rank.html" title="compute the rank">rank</a> -- compute the rank</span></li>
<li><span><a href="_reduce__Hilbert.html" title="reduce a Hilbert series expression">reduceHilbert</a> -- reduce a Hilbert series expression</span></li>
<li><span><a href="../../ReesAlgebra/html/_reduction__Number.html" title="reduction number of one ideal with respect to another">reductionNumber</a> -- reduction number of one ideal with respect to another</span></li>
<li><span><a href="_relations.html" title="the defining relations">relations</a> -- the defining relations</span></li>
<li><span><a href="_remainder.html" title="matrix remainder">remainder</a> -- matrix remainder</span></li>
<li><span><a href="_remainder_sq.html" title="matrix quotient and remainder (opposite)">remainder'</a> -- matrix quotient and remainder (opposite)</span></li>
<li><span><a href="_remove__Hook.html" title="remove a hook function from an object">removeHook</a> -- remove a hook function from an object</span></li>
<li><span><a href="_remove__Lowest__Dimension.html" title="remove components of lowest dimension">removeLowestDimension</a> -- remove components of lowest dimension</span></li>
<li><span><a href="_replace.html" title="replacement in strings and lists">replace</a> -- replacement in strings and lists</span></li>
<li><span>reshape, see <span><a href="_reshape_lp__Module_cm__Module_cm__Matrix_rp.html" title="reshape a matrix">reshape(Module,Module,Matrix)</a> -- reshape a matrix</span></span></li>
<li><span>resultant, see <span><a href="../../Elimination/html/_resultant_lp__Ring__Element_cm__Ring__Element_cm__Ring__Element_rp.html" title="">resultant(RingElement,RingElement,RingElement)</a></span></span></li>
<li><span><a href="_ring.html" title="get the associated ring of an object">ring</a> -- get the associated ring of an object</span></li>
<li><span>rotate, see <span><a href="_rotate_lp__Z__Z_cm__Visible__List_rp.html" title="rotate a list">rotate(ZZ,VisibleList)</a> -- rotate a list</span></span></li>
<li><span><a href="_round.html" title="round a number">round</a> -- round a number</span></li>
<li><span><a href="_row__Add.html" title="add a multiple of one row to another">rowAdd</a> -- add a multiple of one row to another</span></li>
<li><span><a href="_row__Mult.html" title="multiply a row by a ring element">rowMult</a> -- multiply a row by a ring element</span></li>
<li><span><a href="_row__Permute.html" title="permute some rows">rowPermute</a> -- permute some rows</span></li>
<li><span><a href="_row__Swap.html" title="interchange rows">rowSwap</a> -- interchange rows</span></li>
<li><span><a href="_run__Hooks.html" title="run the hook functions stored in an object">runHooks</a> -- run the hook functions stored in an object</span></li>
<li><span><a href="_scan__Keys.html" title="apply a function to each key in a hash table or database">scanKeys</a> -- apply a function to each key in a hash table or database</span></li>
<li><span><a href="_scan__Lines.html" title="apply a function to each line of a file">scanLines</a> -- apply a function to each line of a file</span></li>
<li><span><a href="_scan__Values.html" title="apply a function to each value in a hash table">scanValues</a> -- apply a function to each value in a hash table</span></li>
<li><span><a href="_schreyer__Order.html" title="create or obtain free modules with Schryer monomial orders">schreyerOrder</a> -- create or obtain free modules with Schryer monomial orders</span></li>
<li><span><a href="../../SchurRings/html/_schur__Ring.html" title="make a Schur ring">schurRing</a> -- make a Schur ring</span></li>
<li><span>searchPath, see <span><a href="_search__Path_lp__List_cm__String_rp.html" title="search a path for a file">searchPath(List,String)</a> -- search a path for a file</span></span></li>
<li><span><a href="_select__In__Subring.html" title="select columns in a subring">selectInSubring</a> -- select columns in a subring</span></li>
<li><span>selectVariables, see <span><a href="_select__Variables_lp__List_cm__Polynomial__Ring_rp.html" title="make a subring of a polynomial ring generated by selected variables">selectVariables(List,PolynomialRing)</a> -- make a subring of a polynomial ring generated by selected variables</span></span></li>
<li><span><a href="_separate__Regexp.html" title="separate a string into pieces, with separators determined by a regular expression">separateRegexp</a> -- separate a string into pieces, with separators determined by a regular expression</span></li>
<li><span><a href="_set__Random__Seed.html" title="set starting point for random number generator">setRandomSeed</a> -- set starting point for random number generator</span></li>
<li><span><a href="_setup.html" title="">setup</a></span></li>
<li><span><a href="_setup__Emacs.html" title="">setupEmacs</a></span></li>
<li><span><a href="_sheaf.html" title="make a coherent sheaf">sheaf</a> -- make a coherent sheaf</span></li>
<li><span>sheafHom, see <span><a href="_sheaf__Hom_lp__Coherent__Sheaf_cm__Coherent__Sheaf_rp.html" title="sheaf Hom">sheafHom(CoherentSheaf,CoherentSheaf)</a> -- sheaf Hom</span></span></li>
<li><span><a href="_show.html" title="display various TeX, hypertext, or a URL, in an external application">show</a> -- display various TeX, hypertext, or a URL, in an external application</span></li>
<li><span><a href="../../SimpleDoc/html/_simple__Doc__Frob.html" title="an example of a function to document">simpleDocFrob</a> -- an example of a function to document</span></li>
<li><span><a href="_singular__Locus.html" title="singular locus">singularLocus</a> -- singular locus</span></li>
<li><span><a href="_size.html" title="the size of an object">size</a> -- the size of an object</span></li>
<li><span><a href="_some__Terms.html" title="select some terms of a polynomial">someTerms</a> -- select some terms of a polynomial</span></li>
<li><span><a href="_source.html" title="source of a map">source</a> -- source of a map</span></li>
<li><span>Spec, see <span><a href="___Spec_lp__Ring_rp.html" title="make an affine variety">Spec(Ring)</a> -- make an affine variety</span></span></li>
<li><span><a href="_standard__Form.html" title="convert to standard form">standardForm</a> -- convert to standard form</span></li>
<li><span><a href="_standard__Pairs.html" title="find the standard pairs of a monomial ideal">standardPairs</a> -- find the standard pairs of a monomial ideal</span></li>
<li><span><a href="_sublists.html" title="process interspersed sublists of a list">sublists</a> -- process interspersed sublists of a list</span></li>
<li><span><a href="_submatrix.html" title="">submatrix</a></span></li>
<li><span><a href="_submatrix_sq.html" title="exclude rows and/or columns of a matrix">submatrix'</a> -- exclude rows and/or columns of a matrix</span></li>
<li><span><a href="_subquotient.html" title="make a subquotient module">subquotient</a> -- make a subquotient module</span></li>
<li><span><a href="_subsets.html" title="produce all the subsets">subsets</a> -- produce all the subsets</span></li>
<li><span><a href="_substitute.html" title="substituting values for variables">substitute</a> -- substituting values for variables</span></li>
<li><span><a href="_sum.html" title="compute the sum">sum</a> -- compute the sum</span></li>
<li><span><a href="_super.html" title="get the ambient module">super</a> -- get the ambient module</span></li>
<li><span><a href="_support.html" title="list of variables occurring in a polynomial or matrix">support</a> -- list of variables occurring in a polynomial or matrix</span></li>
<li><span>switch, see <span><a href="_switch_lp__Z__Z_cm__Z__Z_cm__Visible__List_rp.html" title="copy a list, switching two elements">switch(ZZ,ZZ,VisibleList)</a> -- copy a list, switching two elements</span></span></li>
<li><span>sylvesterMatrix, see <span><a href="../../Elimination/html/_sylvester__Matrix_lp__Ring__Element_cm__Ring__Element_cm__Ring__Element_rp.html" title="">sylvesterMatrix(RingElement,RingElement,RingElement)</a></span></span></li>
<li><span><a href="_symmetric__Power.html" title="symmetric power">symmetricPower</a> -- symmetric power</span></li>
<li><span><a href="_target.html" title="target of a map">target</a> -- target of a map</span></li>
<li><span><a href="_tensor__Associativity.html" title="associativity isomorphisms for tensor products">tensorAssociativity</a> -- associativity isomorphisms for tensor products</span></li>
<li><span><a href="_terms.html" title="provide a list of terms of a polynomial">terms</a> -- provide a list of terms of a polynomial</span></li>
<li><span><a href="___T__E__S__T.html" title="package item: register a test of the package">TEST</a> -- package item: register a test of the package</span></li>
<li><span><a href="_to__Dual.html" title="inverse system">toDual</a> -- inverse system</span></li>
<li><span>toField, see <span><a href="_to__Field_lp__Ring_rp.html" title="declare that a ring is a field">toField(Ring)</a> -- declare that a ring is a field</span></span></li>
<li><span><a href="_top__Coefficients.html" title="first variable and its coefficient of a polynomial or matrix">topCoefficients</a> -- first variable and its coefficient of a polynomial or matrix</span></li>
<li><span><a href="_top__Components.html" title="compute top dimensional component">topComponents</a> -- compute top dimensional component</span></li>
<li><span>trace, see <span><a href="_trace_lp__Matrix_rp.html" title="trace of a matrix">trace(Matrix)</a> -- trace of a matrix</span></span></li>
<li><span><a href="_truncate.html" title="truncate the module at a specified degree">truncate</a> -- truncate the module at a specified degree</span></li>
<li><span><a href="_truncate__Output.html" title="">truncateOutput</a></span></li>
<li><span><a href="_ultimate.html" title="ultimate value for an iteration">ultimate</a> -- ultimate value for an iteration</span></li>
<li><span>unbag, see <span><a href="_unbag_lp__Bag_rp.html" title="">unbag(Bag)</a></span></span></li>
<li><span><a href="../../ReesAlgebra/html/_universal__Embedding.html" title="Compute the universal embedding">universalEmbedding</a> -- Compute the universal embedding</span></li>
<li><span><a href="_use.html" title="install or activate object">use</a> -- install or activate object</span></li>
<li><span><a href="_value.html" title="evaluate">value</a> -- evaluate</span></li>
<li><span><a href="_variety.html" title="get the variety">variety</a> -- get the variety</span></li>
<li><span>wedgeProduct, see <span><a href="_wedge__Product_lp__Z__Z_cm__Z__Z_cm__Module_rp.html" title="the exterior multiplication map">wedgeProduct(ZZ,ZZ,Module)</a> -- the exterior multiplication map</span></span></li>
<li><span><a href="_weight__Range.html" title="the pair of lowest and highest weights of the monomials">weightRange</a> -- the pair of lowest and highest weights of the monomials</span></li>
<li><span><a href="../../ReesAlgebra/html/_which__Gm.html" title="largest Gm satisfied by an ideal">whichGm</a> -- largest Gm satisfied by an ideal</span></li>
<li><span><a href="_width.html" title="width of a file or net">width</a> -- width of a file or net</span></li>
<li><span>Wikipedia, see <span><a href="___Wikipedia_lp__String_rp.html" title="link to a Wikipedia entry">Wikipedia(String)</a> -- link to a Wikipedia entry</span></span></li>
</ul>
</div>
<div class="waystouse"><h2>For the programmer</h2>
<p>The object <a href="___Method__Function.html" title="a type of method function">MethodFunction</a> is <span>a <a href="___Type.html">type</a></span>, with ancestor classes <a href="___Compiled__Function__Closure.html" title="the class of all compiled function closures">CompiledFunctionClosure</a> < <a href="___Function.html" title="the class of all functions">Function</a> < <a href="___Thing.html" title="the class of all things">Thing</a>.</p>
</div>
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