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<div><h1>RingElement -- the class of all ring elements handled by the engine</h1>
<div><!--empty documentation body--></div>
<div class="single"><h2>See also</h2>
<ul><li><span><a href="_engine.html" title="">engine</a></span></li>
</ul>
</div>
<div class="waystouse"><h2>Functions and methods returning a ring element :</h2>
<ul><li><span>RingElement * RingElement, see <span><a href="__st.html" title="a binary operator, usually used for multiplication">*</a> -- a binary operator, usually used for multiplication</span></span></li>
<li><span>RingElement + RingElement, see <span><a href="__pl.html" title="a unary or binary operator, usually used for addition">+</a> -- a unary or binary operator, usually used for addition</span></span></li>
<li><span>- RingElement, see <span><a href="_-.html" title="a unary or binary operator, usually used for negation or subtraction">-</a> -- a unary or binary operator, usually used for negation or subtraction</span></span></li>
<li><span>RingElement - RingElement, see <span><a href="_-.html" title="a unary or binary operator, usually used for negation or subtraction">-</a> -- a unary or binary operator, usually used for negation or subtraction</span></span></li>
<li><span>contract(Number,RingElement), see <span><a href="_contract_lp__Matrix_cm__Matrix_rp.html" title="contract a matrix by a matrix">contract(Matrix,Matrix)</a> -- contract a matrix by a matrix</span></span></li>
<li><span>contract(RingElement,Number), see <span><a href="_contract_lp__Matrix_cm__Matrix_rp.html" title="contract a matrix by a matrix">contract(Matrix,Matrix)</a> -- contract a matrix by a matrix</span></span></li>
<li><span>contract(RingElement,RingElement), see <span><a href="_contract_lp__Matrix_cm__Matrix_rp.html" title="contract a matrix by a matrix">contract(Matrix,Matrix)</a> -- contract a matrix by a matrix</span></span></li>
<li><span>determinant(Matrix), see <span><a href="_determinant.html" title="determinant of a matrix">determinant</a> -- determinant of a matrix</span></span></li>
<li><span><a href="_diff_lp__Ring__Element_cm__Ring__Element_rp.html" title="differentiation">diff(RingElement,RingElement)</a> -- differentiation</span></li>
<li><span>gcd(RingElement,RingElement), see <span><a href="_gcd.html" title="greatest common divisor">gcd</a> -- greatest common divisor</span></span></li>
<li><span>generator(Ideal), see <span><a href="_generator.html" title="provide a single generator">generator</a> -- provide a single generator</span></span></li>
<li><span>generator(Module), see <span><a href="_generator.html" title="provide a single generator">generator</a> -- provide a single generator</span></span></li>
<li><span>Ideal _ ZZ, see <span><a href="_generators_spof_spideals_spand_spmodules.html" title="">generators of ideals and modules</a></span></span></li>
<li><span>homogenize(RingElement,RingElement), see <span><a href="_homogenize.html" title="homogenize with respect to a variable">homogenize</a> -- homogenize with respect to a variable</span></span></li>
<li><span>homogenize(RingElement,RingElement,List), see <span><a href="_homogenize.html" title="homogenize with respect to a variable">homogenize</a> -- homogenize with respect to a variable</span></span></li>
<li><span><a href="___Indexed__Variable_sp_us_sp__Ring.html" title="get a ring variable by name">IndexedVariable _ Ring</a> -- get a ring variable by name</span></li>
<li><span>leadCoefficient(RingElement), see <span><a href="_lead__Coefficient.html" title="the leading coefficient">leadCoefficient</a> -- the leading coefficient</span></span></li>
<li><span>leadMonomial(RingElement), see <span><a href="_lead__Monomial.html" title="the leading monomial">leadMonomial</a> -- the leading monomial</span></span></li>
<li><span><a href="_lead__Term_lp__Ring__Element_rp.html" title="get the greatest term">leadTerm(RingElement)</a> -- get the greatest term</span></li>
<li><span><a href="_lead__Term_lp__Z__Z_cm__Ring__Element_rp.html" title="get the lead polynomials using part of the monomial order">leadTerm(ZZ,RingElement)</a> -- get the lead polynomials using part of the monomial order</span></li>
<li><span>RingElement % GroebnerBasis, see <span><a href="___Matrix_sp_pc_sp__Groebner__Basis.html" title="calculate the normal form of ring elements and matrices using a (partially computed) Gröbner basis">Matrix % GroebnerBasis</a> -- calculate the normal form of ring elements and matrices using a (partially computed) Gröbner basis</span></span></li>
<li><span>RingElement // RingElement, see <span><a href="___Matrix_sp_sl_sl_sp__Matrix.html" title="factor a map through another">Matrix // Matrix</a> -- factor a map through another</span></span></li>
<li><span><a href="___Matrix_sp_us_sp__Sequence.html" title="get entry of matrix">Matrix _ Sequence</a> -- get entry of matrix</span></li>
<li><span>RingElement % RingElement, see <span><a href="_methods_spfor_spnormal_spforms_spand_spremainder.html" title="calculate the normal form of ring elements and matrices">methods for normal forms and remainder</a> -- calculate the normal form of ring elements and matrices</span></span></li>
<li><span><a href="_part_lp__List_cm__Ring__Element_rp.html" title="sum of terms of a polynomial of a given degree(s)">part(List,RingElement)</a> -- sum of terms of a polynomial of a given degree(s)</span></li>
<li><span>part(InfiniteNumber,InfiniteNumber,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(InfiniteNumber,InfiniteNumber,VisibleList,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(InfiniteNumber,ZZ,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(InfiniteNumber,ZZ,VisibleList,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(Nothing,Nothing,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(Nothing,Nothing,VisibleList,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(Nothing,ZZ,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(Nothing,ZZ,VisibleList,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(ZZ,InfiniteNumber,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(ZZ,InfiniteNumber,VisibleList,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(ZZ,Nothing,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(ZZ,Nothing,VisibleList,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(ZZ,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(ZZ,VisibleList,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span>part(ZZ,ZZ,RingElement), see <span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></span></li>
<li><span><a href="_part_lp__Z__Z_cm__Z__Z_cm__Visible__List_cm__Ring__Element_rp.html" title="select terms of a polynomial by degree or weight">part(ZZ,ZZ,VisibleList,RingElement)</a> -- select terms of a polynomial by degree or weight</span></li>
<li><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></li>
<li><span>pseudoRemainder(RingElement,RingElement), see <span><a href="_pseudo__Remainder.html" title="compute the pseudo-remainder">pseudoRemainder</a> -- compute the pseudo-remainder</span></span></li>
<li><span>random(List,Ring), see <span><a href="_random_lp__Type_rp.html" title="random element of a type">random(Type)</a> -- random element of a type</span></span></li>
<li><span>random(ZZ,Ring), see <span><a href="_random_lp__Type_rp.html" title="random element of a type">random(Type)</a> -- random element of a type</span></span></li>
<li><span><a href="___Ring_sp_us_sp__List.html" title="make a monomial from a list of exponents">Ring _ List</a> -- make a monomial from a list of exponents</span></li>
<li><span><a href="___Ring_sp_us_sp__String.html" title="get a ring variable by name">Ring _ String</a> -- get a ring variable by name</span></li>
<li><span><a href="___Ring_sp_us_sp__Z__Z.html" title="get a ring variable by index">Ring _ ZZ</a> -- get a ring variable by index</span></li>
<li><span><a href="___Ring__Element_sp_sl_sp__Ring__Element.html" title="fraction">RingElement / RingElement</a> -- fraction</span></li>
<li><span><a href="___Ring__Element_sp^_sp__Z__Z.html" title="power">RingElement ^ ZZ</a> -- power</span></li>
<li><span><a href="___Ring__Map_sp__Ring__Element.html" title="apply a ring map">RingMap RingElement</a> -- apply a ring map</span></li>
<li><span>someTerms(RingElement,ZZ,ZZ), see <span><a href="_some__Terms.html" title="select some terms of a polynomial">someTerms</a> -- select some terms of a polynomial</span></span></li>
<li><span>substitute(Number,Ring), see <span><a href="_substitute.html" title="substituting values for variables">substitute</a> -- substituting values for variables</span></span></li>
<li><span>substitute(Number,RingFamily), see <span><a href="_substitute.html" title="substituting values for variables">substitute</a> -- substituting values for variables</span></span></li>
<li><span>substitute(RingElement,List), see <span><a href="_substitute.html" title="substituting values for variables">substitute</a> -- substituting values for variables</span></span></li>
<li><span>substitute(RingElement,Matrix), see <span><a href="_substitute.html" title="substituting values for variables">substitute</a> -- substituting values for variables</span></span></li>
<li><span>substitute(RingElement,Ring), see <span><a href="_substitute.html" title="substituting values for variables">substitute</a> -- substituting values for variables</span></span></li>
<li><span>substitute(RingElement,RingFamily), see <span><a href="_substitute.html" title="substituting values for variables">substitute</a> -- substituting values for variables</span></span></li>
<li><span><a href="___Symbol_sp_us_sp__Ring.html" title="get a ring variable by name">Symbol _ Ring</a> -- get a ring variable by name</span></li>
<li><span><a href="_trace_lp__Matrix_rp.html" title="trace of a matrix">trace(Matrix)</a> -- trace of a matrix</span></li>
</ul>
<h2>Methods that use a ring element :</h2>
<ul><li><span>Number % RingElement, see <span><a href="__pc.html" title="a binary operator, usually used for remainder and reduction">%</a> -- a binary operator, usually used for remainder and reduction</span></span></li>
<li><span>RingElement % Number, see <span><a href="__pc.html" title="a binary operator, usually used for remainder and reduction">%</a> -- a binary operator, usually used for remainder and reduction</span></span></li>
<li><span>Matrix * RingElement, see <span><a href="__st.html" title="a binary operator, usually used for multiplication">*</a> -- a binary operator, usually used for multiplication</span></span></li>
<li><span>Ring * RingElement, see <span><a href="__st.html" title="a binary operator, usually used for multiplication">*</a> -- a binary operator, usually used for multiplication</span></span></li>
<li><span>RingElement * ChainComplexMap, see <span><a href="__st.html" title="a binary operator, usually used for multiplication">*</a> -- a binary operator, usually used for multiplication</span></span></li>
<li><span>RingElement * GradedModuleMap, see <span><a href="__st.html" title="a binary operator, usually used for multiplication">*</a> -- a binary operator, usually used for multiplication</span></span></li>
<li><span>RingElement * Ideal, see <span><a href="__st.html" title="a binary operator, usually used for multiplication">*</a> -- a binary operator, usually used for multiplication</span></span></li>
<li><span>RingElement * Matrix, see <span><a href="__st.html" title="a binary operator, usually used for multiplication">*</a> -- a binary operator, usually used for multiplication</span></span></li>
<li><span>RingElement * Module, see <span><a href="__st.html" title="a binary operator, usually used for multiplication">*</a> -- a binary operator, usually used for multiplication</span></span></li>
<li><span>RingElement * MonomialIdeal, see <span><a href="__st.html" title="a binary operator, usually used for multiplication">*</a> -- a binary operator, usually used for multiplication</span></span></li>
<li><span>RingElement * MutableMatrix, see <span><a href="__st.html" title="a binary operator, usually used for multiplication">*</a> -- a binary operator, usually used for multiplication</span></span></li>
<li><span>RingElement * Vector, see <span><a href="__st.html" title="a binary operator, usually used for multiplication">*</a> -- a binary operator, usually used for multiplication</span></span></li>
<li><span>ChainComplexMap + RingElement, see <span><a href="__pl.html" title="a unary or binary operator, usually used for addition">+</a> -- a unary or binary operator, usually used for addition</span></span></li>
<li><span>GradedModuleMap + RingElement, see <span><a href="__pl.html" title="a unary or binary operator, usually used for addition">+</a> -- a unary or binary operator, usually used for addition</span></span></li>
<li><span>Ideal + RingElement, see <span><a href="__pl.html" title="a unary or binary operator, usually used for addition">+</a> -- a unary or binary operator, usually used for addition</span></span></li>
<li><span>Matrix + RingElement, see <span><a href="__pl.html" title="a unary or binary operator, usually used for addition">+</a> -- a unary or binary operator, usually used for addition</span></span></li>
<li><span>RingElement + ChainComplexMap, see <span><a href="__pl.html" title="a unary or binary operator, usually used for addition">+</a> -- a unary or binary operator, usually used for addition</span></span></li>
<li><span>RingElement + GradedModuleMap, see <span><a href="__pl.html" title="a unary or binary operator, usually used for addition">+</a> -- a unary or binary operator, usually used for addition</span></span></li>
<li><span>RingElement + Matrix, see <span><a href="__pl.html" title="a unary or binary operator, usually used for addition">+</a> -- a unary or binary operator, usually used for addition</span></span></li>
<li><span>ChainComplexMap - RingElement, see <span><a href="_-.html" title="a unary or binary operator, usually used for negation or subtraction">-</a> -- a unary or binary operator, usually used for negation or subtraction</span></span></li>
<li><span>GradedModuleMap - RingElement, see <span><a href="_-.html" title="a unary or binary operator, usually used for negation or subtraction">-</a> -- a unary or binary operator, usually used for negation or subtraction</span></span></li>
<li><span>Matrix - RingElement, see <span><a href="_-.html" title="a unary or binary operator, usually used for negation or subtraction">-</a> -- a unary or binary operator, usually used for negation or subtraction</span></span></li>
<li><span>RingElement - ChainComplexMap, see <span><a href="_-.html" title="a unary or binary operator, usually used for negation or subtraction">-</a> -- a unary or binary operator, usually used for negation or subtraction</span></span></li>
<li><span>RingElement - GradedModuleMap, see <span><a href="_-.html" title="a unary or binary operator, usually used for negation or subtraction">-</a> -- a unary or binary operator, usually used for negation or subtraction</span></span></li>
<li><span>RingElement - Matrix, see <span><a href="_-.html" title="a unary or binary operator, usually used for negation or subtraction">-</a> -- a unary or binary operator, usually used for negation or subtraction</span></span></li>
<li><span>Number // RingElement, see <span><a href="__sl_sl.html" title="a binary operator, usually used for quotient">//</a> -- a binary operator, usually used for quotient</span></span></li>
<li><span>RingElement // Number, see <span><a href="__sl_sl.html" title="a binary operator, usually used for quotient">//</a> -- a binary operator, usually used for quotient</span></span></li>
<li><span>ChainComplexMap == RingElement, see <span><a href="__eq_eq.html" title="equality">==</a> -- equality</span></span></li>
<li><span>GradedModuleMap == RingElement, see <span><a href="__eq_eq.html" title="equality">==</a> -- equality</span></span></li>
<li><span>Matrix == RingElement, see <span><a href="__eq_eq.html" title="equality">==</a> -- equality</span></span></li>
<li><span>Number == RingElement, see <span><a href="__eq_eq.html" title="equality">==</a> -- equality</span></span></li>
<li><span>RingElement == ChainComplexMap, see <span><a href="__eq_eq.html" title="equality">==</a> -- equality</span></span></li>
<li><span>RingElement == GradedModuleMap, see <span><a href="__eq_eq.html" title="equality">==</a> -- equality</span></span></li>
<li><span>RingElement == Matrix, see <span><a href="__eq_eq.html" title="equality">==</a> -- equality</span></span></li>
<li><span>RingElement == Number, see <span><a href="__eq_eq.html" title="equality">==</a> -- equality</span></span></li>
<li><span>RingElement == RingElement, see <span><a href="__eq_eq.html" title="equality">==</a> -- equality</span></span></li>
<li><span>RingElement == ZZ, see <span><a href="__eq_eq.html" title="equality">==</a> -- equality</span></span></li>
<li><span>ZZ == RingElement, see <span><a href="__eq_eq.html" title="equality">==</a> -- equality</span></span></li>
<li><span>analyticSpread(Ideal,RingElement), see <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></span></li>
<li><span>analyticSpread(Module,RingElement), see <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></span></li>
<li><span>annihilator(RingElement), see <span><a href="_annihilator.html" title="the annihilator ideal">annihilator</a> -- the annihilator ideal</span></span></li>
<li><span>associatedGradedRing(Ideal,RingElement), see <span><a href="../../ReesAlgebra/html/_associated__Graded__Ring.html" title="the associated graded ring of an ideal">associatedGradedRing</a> -- the associated graded ring of an ideal</span></span></li>
<li><span>baseName(RingElement), see <span><a href="_base__Name.html" title="the base name of a generator">baseName</a> -- the base name of a generator</span></span></li>
<li><span>clean(RR,RingElement), see <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></span></li>
<li><span>coefficients(RingElement), see <span><a href="_coefficients.html" title="monomials and their coefficients">coefficients</a> -- monomials and their coefficients</span></span></li>
<li><span>cokernel(RingElement), see <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></span></li>
<li><span>columnAdd(MutableMatrix,ZZ,RingElement,ZZ), see <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></span></li>
<li><span>columnMult(MutableMatrix,ZZ,RingElement), see <span><a href="_column__Mult.html" title="multiply a column by a ring element">columnMult</a> -- multiply a column by a ring element</span></span></li>
<li><span>Constant * RingElement, see <span><a href="___Constant.html" title="">Constant</a></span></span></li>
<li><span>Constant + RingElement, see <span><a href="___Constant.html" title="">Constant</a></span></span></li>
<li><span>Constant - RingElement, see <span><a href="___Constant.html" title="">Constant</a></span></span></li>
<li><span>Constant / RingElement, see <span><a href="___Constant.html" title="">Constant</a></span></span></li>
<li><span>RingElement * Constant, see <span><a href="___Constant.html" title="">Constant</a></span></span></li>
<li><span>RingElement + Constant, see <span><a href="___Constant.html" title="">Constant</a></span></span></li>
<li><span>RingElement - Constant, see <span><a href="___Constant.html" title="">Constant</a></span></span></li>
<li><span>RingElement / Constant, see <span><a href="___Constant.html" title="">Constant</a></span></span></li>
<li><span><a href="_content_lp__Ring__Element_rp.html" title="the content of a polynomial">content(RingElement)</a> -- the content of a polynomial</span></li>
<li><span>contract(Matrix,RingElement), see <span><a href="_contract_lp__Matrix_cm__Matrix_rp.html" title="contract a matrix by a matrix">contract(Matrix,Matrix)</a> -- contract a matrix by a matrix</span></span></li>
<li><span>contract(RingElement,Matrix), see <span><a href="_contract_lp__Matrix_cm__Matrix_rp.html" title="contract a matrix by a matrix">contract(Matrix,Matrix)</a> -- contract a matrix by a matrix</span></span></li>
<li><span>contract(RingElement,Vector), see <span><a href="_contract_lp__Matrix_cm__Matrix_rp.html" title="contract a matrix by a matrix">contract(Matrix,Matrix)</a> -- contract a matrix by a matrix</span></span></li>
<li><span>contract(Vector,RingElement), see <span><a href="_contract_lp__Matrix_cm__Matrix_rp.html" title="contract a matrix by a matrix">contract(Matrix,Matrix)</a> -- contract a matrix by a matrix</span></span></li>
<li><span><a href="_degree_lp__Ring__Element_rp.html" title="">degree(RingElement)</a></span></li>
<li><span><a href="_degree_lp__Ring__Element_cm__Ring__Element_rp.html" title="degree with respect to a variable">degree(RingElement,RingElement)</a> -- degree with respect to a variable</span></li>
<li><span>diff(RingElement,Vector), see <span><a href="_diff_lp__Matrix_cm__Matrix_rp.html" title="differentiate a matrix by a matrix">diff(Matrix,Matrix)</a> -- differentiate a matrix by a matrix</span></span></li>
<li><span>diff(Vector,RingElement), see <span><a href="_diff_lp__Matrix_cm__Matrix_rp.html" title="differentiate a matrix by a matrix">diff(Matrix,Matrix)</a> -- differentiate a matrix by a matrix</span></span></li>
<li><span><a href="_diff_lp__Matrix_cm__Ring__Element_rp.html" title="differentiation">diff(Matrix,RingElement)</a> -- differentiation</span></li>
<li><span><a href="_diff_lp__Ring__Element_cm__Matrix_rp.html" title="differentiate each entry of a matrix">diff(RingElement,Matrix)</a> -- differentiate each entry of a matrix</span></li>
<li><span><a href="../../Elimination/html/_discriminant_lp__Ring__Element_cm__Ring__Element_rp.html" title="">discriminant(RingElement,RingElement)</a></span></li>
<li><span>distinguished(Ideal,RingElement), see <span><a href="../../ReesAlgebra/html/_distinguished.html" title="compute the distinguished subvarieties of a scheme">distinguished</a> -- compute the distinguished subvarieties of a scheme</span></span></li>
<li><span>distinguishedAndMult(Ideal,RingElement), see <span><a href="../../ReesAlgebra/html/_distinguished__And__Mult.html" title="compute the distinguished subvarieties of a scheme along with their multiplicities">distinguishedAndMult</a> -- compute the distinguished subvarieties of a scheme along with their multiplicities</span></span></li>
<li><span>divideByVariable(Matrix,RingElement), see <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></span></li>
<li><span>divideByVariable(Matrix,RingElement,ZZ), see <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></span></li>
<li><span><a href="_dual_lp__Monomial__Ideal_cm__Ring__Element_rp.html" title="the Alexander dual">dual(MonomialIdeal,RingElement)</a> -- the Alexander dual</span></li>
<li><span>eliminate(RingElement,Ideal), see <span><a href="../../Elimination/html/_eliminate.html" title="">eliminate</a></span></span></li>
<li><span>exponents(RingElement), see <span><a href="_exponents.html" title="list the exponents in a polynomial">exponents</a> -- list the exponents in a polynomial</span></span></li>
<li><span><a href="_factor_lp__Ring__Element_rp.html" title="factor a ring element">factor(RingElement)</a> -- factor a ring element</span></li>
<li><span>fraction(RingElement,RingElement), see <span><a href="_fraction.html" title="">fraction</a></span></span></li>
<li><span>gcd(RingElement,ZZ), see <span><a href="_gcd.html" title="greatest common divisor">gcd</a> -- greatest common divisor</span></span></li>
<li><span>gcd(ZZ,RingElement), see <span><a href="_gcd.html" title="greatest common divisor">gcd</a> -- greatest common divisor</span></span></li>
<li><span>gcdCoefficients(RingElement,RingElement), see <span><a href="_gcd__Coefficients.html" title="gcd with coefficients">gcdCoefficients</a> -- gcd with coefficients</span></span></li>
<li><span>genericMatrix(Ring,RingElement,ZZ,ZZ), see <span><a href="_generic__Matrix.html" title="make a generic matrix of variables">genericMatrix</a> -- make a generic matrix of variables</span></span></li>
<li><span>genericSkewMatrix(Ring,RingElement,ZZ), see <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></span></li>
<li><span>genericSymmetricMatrix(Ring,RingElement,ZZ), see <span><a href="_generic__Symmetric__Matrix.html" title="make a generic symmetric matrix">genericSymmetricMatrix</a> -- make a generic symmetric matrix</span></span></li>
<li><span>homogenize(Ideal,RingElement), see <span><a href="_homogenize.html" title="homogenize with respect to a variable">homogenize</a> -- homogenize with respect to a variable</span></span></li>
<li><span>homogenize(Matrix,RingElement), see <span><a href="_homogenize.html" title="homogenize with respect to a variable">homogenize</a> -- homogenize with respect to a variable</span></span></li>
<li><span>homogenize(Matrix,RingElement,List), see <span><a href="_homogenize.html" title="homogenize with respect to a variable">homogenize</a> -- homogenize with respect to a variable</span></span></li>
<li><span>homogenize(Module,RingElement), see <span><a href="_homogenize.html" title="homogenize with respect to a variable">homogenize</a> -- homogenize with respect to a variable</span></span></li>
<li><span>homogenize(Module,RingElement,List), see <span><a href="_homogenize.html" title="homogenize with respect to a variable">homogenize</a> -- homogenize with respect to a variable</span></span></li>
<li><span>homogenize(Vector,RingElement), see <span><a href="_homogenize.html" title="homogenize with respect to a variable">homogenize</a> -- homogenize with respect to a variable</span></span></li>
<li><span>homogenize(Vector,RingElement,List), see <span><a href="_homogenize.html" title="homogenize with respect to a variable">homogenize</a> -- homogenize with respect to a variable</span></span></li>
<li><span>icPIdeal(RingElement,RingElement,ZZ), see <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></span></li>
<li><span><a href="_ideal_lp__Ring__Element_rp.html" title="make an ideal">ideal(RingElement)</a> -- make an ideal</span></li>
<li><span>idealizer(Ideal,RingElement), see <span><a href="../../IntegralClosure/html/_idealizer.html" title="compute Hom(I,I) as a quotient ring">idealizer</a> -- compute Hom(I,I) as a quotient ring</span></span></li>
<li><span>image(RingElement), see <span><a href="_image.html" title="image of a map">image</a> -- image of a map</span></span></li>
<li><span>index(RingElement), see <span><a href="_index.html" title="numeric index of a ring variable">index</a> -- numeric index of a ring variable</span></span></li>
<li><span><a href="_indices_lp__Ring__Element_rp.html" title="indices of variables occurring in a polynomial">indices(RingElement)</a> -- indices of variables occurring in a polynomial</span></li>
<li><span><tt>InexactNumber % RingElement</tt> (missing documentation<!-- tag: (%,InexactNumber,RingElement) -->)</span></li>
<li><span><tt>InexactNumber * RingElement</tt> (missing documentation<!-- tag: (*,InexactNumber,RingElement) -->)</span></li>
<li><span><tt>InexactNumber + RingElement</tt> (missing documentation<!-- tag: (+,InexactNumber,RingElement) -->)</span></li>
<li><span><tt>InexactNumber - RingElement</tt> (missing documentation<!-- tag: (-,InexactNumber,RingElement) -->)</span></li>
<li><span><tt>InexactNumber / RingElement</tt> (missing documentation<!-- tag: (/,InexactNumber,RingElement) -->)</span></li>
<li><span><tt>InexactNumber // RingElement</tt> (missing documentation<!-- tag: (//,InexactNumber,RingElement) -->)</span></li>
<li><span><tt>InexactNumber == RingElement</tt> (missing documentation<!-- tag: (==,InexactNumber,RingElement) -->)</span></li>
<li><span>installHilbertFunction(Ideal,RingElement), see <span><a href="_install__Hilbert__Function.html" title="install a Hilbert function without computation">installHilbertFunction</a> -- install a Hilbert function without computation</span></span></li>
<li><span>installHilbertFunction(Matrix,RingElement), see <span><a href="_install__Hilbert__Function.html" title="install a Hilbert function without computation">installHilbertFunction</a> -- install a Hilbert function without computation</span></span></li>
<li><span>installHilbertFunction(Module,RingElement), see <span><a href="_install__Hilbert__Function.html" title="install a Hilbert function without computation">installHilbertFunction</a> -- install a Hilbert function without computation</span></span></li>
<li><span>isConstant(RingElement), see <span><a href="_is__Constant.html" title="whether a ring element is constant">isConstant</a> -- whether a ring element is constant</span></span></li>
<li><span>isHomogeneous(RingElement), see <span><a href="_is__Homogeneous.html" title="whether something is homogeneous (graded)">isHomogeneous</a> -- whether something is homogeneous (graded)</span></span></li>
<li><span>isLinearType(Ideal,RingElement), see <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></span></li>
<li><span>isLinearType(Module,RingElement), see <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></span></li>
<li><span><tt>isReduction(Ideal,Ideal,RingElement)</tt> (missing documentation<!-- tag: (isReduction,Ideal,Ideal,RingElement) -->)</span></li>
<li><span><tt>isReduction(Module,Module,RingElement)</tt> (missing documentation<!-- tag: (isReduction,Module,Module,RingElement) -->)</span></li>
<li><span>isUnit(RingElement), see <span><a href="_is__Unit.html" title="whether a ring element is a unit">isUnit</a> -- whether a ring element is a unit</span></span></li>
<li><span>kernel(RingElement), see <span><a href="_kernel_lp__Matrix_rp.html" title="kernel of a matrix">kernel(Matrix)</a> -- kernel of a matrix</span></span></li>
<li><span>lcm(RingElement,RingElement), see <span><a href="_lcm.html" title="least common multiple">lcm</a> -- least common multiple</span></span></li>
<li><span>lcm(RingElement,ZZ), see <span><a href="_lcm.html" title="least common multiple">lcm</a> -- least common multiple</span></span></li>
<li><span>lcm(ZZ,RingElement), see <span><a href="_lcm.html" title="least common multiple">lcm</a> -- least common multiple</span></span></li>
<li><span>lift(Ideal,type of RingElement), see <span><a href="_lift.html" title="lift to another ring">lift</a> -- lift to another ring</span></span></li>
<li><span>lift(Matrix,type of RingElement), see <span><a href="_lift.html" title="lift to another ring">lift</a> -- lift to another ring</span></span></li>
<li><span>RingElement ^ Ring, see <span><a href="_lift.html" title="lift to another ring">lift</a> -- lift to another ring</span></span></li>
<li><span>RingElement ^ RingFamily, see <span><a href="_lift.html" title="lift to another ring">lift</a> -- lift to another ring</span></span></li>
<li><span>listForm(RingElement), see <span><a href="_list__Form.html" title="convert to list form">listForm</a> -- convert to list form</span></span></li>
<li><span><a href="_map_lp__Module_cm__Module_cm__Ring__Element_rp.html" title="construct the map induced by multiplication by a ring element on the generators">map(Module,Module,RingElement)</a> -- construct the map induced by multiplication by a ring element on the generators</span></li>
<li><span><a href="___Matrix_sp_st_st_sp__Ring__Element.html" title="a binary operator, usually used for tensor product or Cartesian product">Matrix ** RingElement</a> -- a binary operator, usually used for tensor product or Cartesian product</span></li>
<li><span>Matrix ++ RingElement, see <span><a href="___Matrix_sp_pl_pl_sp__Matrix.html" title="direct sum of maps">Matrix ++ Matrix</a> -- direct sum of maps</span></span></li>
<li><span>RingElement ++ Matrix, see <span><a href="___Matrix_sp_pl_pl_sp__Matrix.html" title="direct sum of maps">Matrix ++ Matrix</a> -- direct sum of maps</span></span></li>
<li><span>RingElement ++ RingElement, see <span><a href="___Matrix_sp_pl_pl_sp__Matrix.html" title="direct sum of maps">Matrix ++ Matrix</a> -- direct sum of maps</span></span></li>
<li><span>Matrix // RingElement, see <span><a href="___Matrix_sp_sl_sl_sp__Matrix.html" title="factor a map through another">Matrix // Matrix</a> -- factor a map through another</span></span></li>
<li><span>RingElement // GroebnerBasis, see <span><a href="___Matrix_sp_sl_sl_sp__Matrix.html" title="factor a map through another">Matrix // Matrix</a> -- factor a map through another</span></span></li>
<li><span>RingElement // Matrix, see <span><a href="___Matrix_sp_sl_sl_sp__Matrix.html" title="factor a map through another">Matrix // Matrix</a> -- factor a map through another</span></span></li>
<li><span>RingElement // MonomialIdeal, see <span><a href="___Matrix_sp_sl_sl_sp__Matrix.html" title="factor a map through another">Matrix // Matrix</a> -- factor a map through another</span></span></li>
<li><span>Matrix | RingElement, see <span><a href="___Matrix_sp_vb_sp__Matrix.html" title="join matrices horizontally">Matrix | Matrix</a> -- join matrices horizontally</span></span></li>
<li><span>RingElement | Matrix, see <span><a href="___Matrix_sp_vb_sp__Matrix.html" title="join matrices horizontally">Matrix | Matrix</a> -- join matrices horizontally</span></span></li>
<li><span>RingElement | RingElement, see <span><a href="___Matrix_sp_vb_sp__Matrix.html" title="join matrices horizontally">Matrix | Matrix</a> -- join matrices horizontally</span></span></li>
<li><span>Matrix || RingElement, see <span><a href="___Matrix_sp_vb_vb_sp__Matrix.html" title="join matrices vertically">Matrix || Matrix</a> -- join matrices vertically</span></span></li>
<li><span>RingElement || Matrix, see <span><a href="___Matrix_sp_vb_vb_sp__Matrix.html" title="join matrices vertically">Matrix || Matrix</a> -- join matrices vertically</span></span></li>
<li><span>RingElement || RingElement, see <span><a href="___Matrix_sp_vb_vb_sp__Matrix.html" title="join matrices vertically">Matrix || Matrix</a> -- join matrices vertically</span></span></li>
<li><span>Matrix % RingElement, see <span><a href="_methods_spfor_spnormal_spforms_spand_spremainder.html" title="calculate the normal form of ring elements and matrices">methods for normal forms and remainder</a> -- calculate the normal form of ring elements and matrices</span></span></li>
<li><span>RingElement % Ideal, see <span><a href="_methods_spfor_spnormal_spforms_spand_spremainder.html" title="calculate the normal form of ring elements and matrices">methods for normal forms and remainder</a> -- calculate the normal form of ring elements and matrices</span></span></li>
<li><span>RingElement % Matrix, see <span><a href="_methods_spfor_spnormal_spforms_spand_spremainder.html" title="calculate the normal form of ring elements and matrices">methods for normal forms and remainder</a> -- calculate the normal form of ring elements and matrices</span></span></li>
<li><span>RingElement % MonomialIdeal, see <span><a href="_methods_spfor_spnormal_spforms_spand_spremainder.html" title="calculate the normal form of ring elements and matrices">methods for normal forms and remainder</a> -- calculate the normal form of ring elements and matrices</span></span></li>
<li><span>Module / RingElement, see <span><a href="___Module_sp_sl_sp__Module.html" title="quotient module">Module / Module</a> -- quotient module</span></span></li>
<li><span>monomialIdeal(RingElement), see <span><a href="_monomial__Ideal_lp__Matrix_rp.html" title="monomial ideal of lead monomials">monomialIdeal(Matrix)</a> -- monomial ideal of lead monomials</span></span></li>
<li><span>monomials(RingElement), see <span><a href="_monomials.html" title="matrix of monomials in a ring element or matrix">monomials</a> -- matrix of monomials in a ring element or matrix</span></span></li>
<li><span>multiplicity(Ideal,RingElement), see <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></span></li>
<li><span>norm(InfiniteNumber,RingElement), see <span><a href="_norm.html" title="">norm</a></span></span></li>
<li><span>norm(RingElement), see <span><a href="_norm.html" title="">norm</a></span></span></li>
<li><span>norm(RR,RingElement), see <span><a href="_norm.html" title="">norm</a></span></span></li>
<li><span>normalCone(Ideal,RingElement), see <span><a href="../../ReesAlgebra/html/_normal__Cone.html" title="the normal cone of a subscheme">normalCone</a> -- the normal cone of a subscheme</span></span></li>
<li><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></li>
<li><span>precision(RingElement), see <span><a href="_precision.html" title="">precision</a></span></span></li>
<li><span>RingElement _ Ring, see <span><a href="_promote.html" title="promote to another ring">promote</a> -- promote to another ring</span></span></li>
<li><span>Ideal : RingElement, see <span><a href="_quotient_lp__Ideal_cm__Ideal_rp.html" title="ideal or submodule quotient">quotient(Ideal,Ideal)</a> -- ideal or submodule quotient</span></span></li>
<li><span>Module : RingElement, see <span><a href="_quotient_lp__Ideal_cm__Ideal_rp.html" title="ideal or submodule quotient">quotient(Ideal,Ideal)</a> -- ideal or submodule quotient</span></span></li>
<li><span>quotient(Ideal,RingElement), see <span><a href="_quotient_lp__Ideal_cm__Ideal_rp.html" title="ideal or submodule quotient">quotient(Ideal,Ideal)</a> -- ideal or submodule quotient</span></span></li>
<li><span>quotient(Module,RingElement), see <span><a href="_quotient_lp__Ideal_cm__Ideal_rp.html" title="ideal or submodule quotient">quotient(Ideal,Ideal)</a> -- ideal or submodule quotient</span></span></li>
<li><span><tt>quotientRemainder(InexactNumber,RingElement)</tt> (missing documentation<!-- tag: (quotientRemainder,InexactNumber,RingElement) -->)</span></li>
<li><span><tt>quotientRemainder(RingElement,InexactNumber)</tt> (missing documentation<!-- tag: (quotientRemainder,RingElement,InexactNumber) -->)</span></li>
<li><span>quotientRemainder(Number,RingElement), see <span><a href="_quotient__Remainder_lp__Ring__Element_cm__Ring__Element_rp.html" title="quotient and remainder">quotientRemainder(RingElement,RingElement)</a> -- quotient and remainder</span></span></li>
<li><span>quotientRemainder(RingElement,Number), see <span><a href="_quotient__Remainder_lp__Ring__Element_cm__Ring__Element_rp.html" title="quotient and remainder">quotientRemainder(RingElement,RingElement)</a> -- quotient and remainder</span></span></li>
<li><span><a href="_quotient__Remainder_lp__Ring__Element_cm__Ring__Element_rp.html" title="quotient and remainder">quotientRemainder(RingElement,RingElement)</a> -- quotient and remainder</span></li>
<li><span>reesAlgebra(Ideal,RingElement), see <span><a href="../../ReesAlgebra/html/_rees__Algebra.html" title="compute the defining ideal of the Rees Algebra">reesAlgebra</a> -- compute the defining ideal of the Rees Algebra</span></span></li>
<li><span>reesAlgebra(Module,RingElement), see <span><a href="../../ReesAlgebra/html/_rees__Algebra.html" title="compute the defining ideal of the Rees Algebra">reesAlgebra</a> -- compute the defining ideal of the Rees Algebra</span></span></li>
<li><span>reesIdeal(Ideal,RingElement), see <span><a href="../../ReesAlgebra/html/_rees__Ideal.html" title="compute the defining ideal of the Rees Algebra">reesIdeal</a> -- compute the defining ideal of the Rees Algebra</span></span></li>
<li><span>reesIdeal(Module,RingElement), see <span><a href="../../ReesAlgebra/html/_rees__Ideal.html" title="compute the defining ideal of the Rees Algebra">reesIdeal</a> -- compute the defining ideal of the Rees Algebra</span></span></li>
<li><span><a href="../../Elimination/html/_resultant_lp__Ring__Element_cm__Ring__Element_cm__Ring__Element_rp.html" title="">resultant(RingElement,RingElement,RingElement)</a></span></li>
<li><span>ring(RingElement), see <span><a href="_ring.html" title="get the associated ring of an object">ring</a> -- get the associated ring of an object</span></span></li>
<li><span>Ring / RingElement, see <span><a href="___Ring_sp_sl_sp__Ideal.html" title="make a quotient ring">Ring / Ideal</a> -- make a quotient ring</span></span></li>
<li><span><tt>RingElement % InexactNumber</tt> (missing documentation<!-- tag: (%,RingElement,InexactNumber) -->)</span></li>
<li><span><tt>RingElement * InexactNumber</tt> (missing documentation<!-- tag: (*,RingElement,InexactNumber) -->)</span></li>
<li><span><tt>RingElement + InexactNumber</tt> (missing documentation<!-- tag: (+,RingElement,InexactNumber) -->)</span></li>
<li><span><tt>RingElement - InexactNumber</tt> (missing documentation<!-- tag: (-,RingElement,InexactNumber) -->)</span></li>
<li><span><a href="___Ring__Element_sp.._sp__Ring__Element.html" title="a sequence of consecutive generators of a polynomial ring">RingElement .. RingElement</a> -- a sequence of consecutive generators of a polynomial ring</span></li>
<li><span><tt>RingElement .. Thing</tt> (missing documentation<!-- tag: (..,RingElement,Thing) -->)</span></li>
<li><span><a href="___Ring__Element_sp.._lt_sp__Ring__Element.html" title="a sequence of consecutive generators of a polynomial ring">RingElement ..< RingElement</a> -- a sequence of consecutive generators of a polynomial ring</span></li>
<li><span><tt>RingElement ..< Thing</tt> (missing documentation<!-- tag: (..<,RingElement,Thing) -->)</span></li>
<li><span><tt>RingElement / InexactNumber</tt> (missing documentation<!-- tag: (/,RingElement,InexactNumber) -->)</span></li>
<li><span><tt>RingElement // InexactNumber</tt> (missing documentation<!-- tag: (//,RingElement,InexactNumber) -->)</span></li>
<li><span><tt>RingElement == InexactNumber</tt> (missing documentation<!-- tag: (==,RingElement,InexactNumber) -->)</span></li>
<li><span><a href="___Ring__Element_sp__Array.html" title="substitution of variables">RingElement Array</a> -- substitution of variables</span></li>
<li><span>ringFromFractions(Matrix,RingElement), see <span><a href="../../IntegralClosure/html/_ring__From__Fractions.html" title="find presentation for f.g. ring">ringFromFractions</a> -- find presentation for f.g. ring</span></span></li>
<li><span>rowAdd(MutableMatrix,ZZ,RingElement,ZZ), see <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></span></li>
<li><span>rowMult(MutableMatrix,ZZ,RingElement), see <span><a href="_row__Mult.html" title="multiply a row by a ring element">rowMult</a> -- multiply a row by a ring element</span></span></li>
<li><span>saturate(Ideal,RingElement), see <span><a href="_saturate.html" title="saturation of ideal or submodule">saturate</a> -- saturation of ideal or submodule</span></span></li>
<li><span>saturate(Module,RingElement), see <span><a href="_saturate.html" title="saturation of ideal or submodule">saturate</a> -- saturation of ideal or submodule</span></span></li>
<li><span>saturate(MonomialIdeal,RingElement), see <span><a href="_saturate.html" title="saturation of ideal or submodule">saturate</a> -- saturation of ideal or submodule</span></span></li>
<li><span>size(RingElement), see <span><a href="_size.html" title="the size of an object">size</a> -- the size of an object</span></span></li>
<li><span>specialFiber(Ideal,RingElement), see <span><a href="../../ReesAlgebra/html/_special__Fiber.html" title="special fiber of a blowup">specialFiber</a> -- special fiber of a blowup</span></span></li>
<li><span>specialFiber(Module,RingElement), see <span><a href="../../ReesAlgebra/html/_special__Fiber.html" title="special fiber of a blowup">specialFiber</a> -- special fiber of a blowup</span></span></li>
<li><span>specialFiberIdeal(Ideal,RingElement), see <span><a href="../../ReesAlgebra/html/_special__Fiber__Ideal.html" title="special fiber of a blowup">specialFiberIdeal</a> -- special fiber of a blowup</span></span></li>
<li><span>specialFiberIdeal(Module,RingElement), see <span><a href="../../ReesAlgebra/html/_special__Fiber__Ideal.html" title="special fiber of a blowup">specialFiberIdeal</a> -- special fiber of a blowup</span></span></li>
<li><span>standardForm(RingElement), see <span><a href="_standard__Form.html" title="convert to standard form">standardForm</a> -- convert to standard form</span></span></li>
<li><span>substitute(RingElement,Option), see <span><a href="_substitute.html" title="substituting values for variables">substitute</a> -- substituting values for variables</span></span></li>
<li><span>support(RingElement), see <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></span></li>
<li><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></li>
<li><span>terms(Ring,RingElement), see <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></span></li>
<li><span>terms(RingElement), see <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></span></li>
<li><span><tt>Thing .. RingElement</tt> (missing documentation<!-- tag: (..,Thing,RingElement) -->)</span></li>
<li><span><tt>Thing ..< RingElement</tt> (missing documentation<!-- tag: (..<,Thing,RingElement) -->)</span></li>
<li><span>topCoefficients(RingElement), see <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></span></li>
<li><span>weightRange(List,RingElement), see <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></span></li>
<li><span>weightRange(RingElement), see <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></span></li>
</ul>
</div>
<div class="waystouse"><h2>For the programmer</h2>
<p>The object <a href="___Ring__Element.html" title="the class of all ring elements handled by the engine">RingElement</a> is <span>a <a href="___Type.html">type</a></span>, with ancestor classes <a href="___Basic__List.html" title="the class of all basic lists">BasicList</a> < <a href="___Thing.html" title="the class of all things">Thing</a>.</p>
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