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<head><title>Symbol -- the class of all symbols</title>
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<div><h1>Symbol -- the class of all symbols</h1>
<div class="single"><h2>Description</h2>
<div>Symbols are entered as an alphabetic character followed by a sequence of alphanumeric characters; case is significant. The single symbol character ' is regarded as alphabetic, so that symbols such as <tt>x'</tt> may be used.<p/>
Symbols are used as names for values to be preserved, as indeterminates in polynomial rings, and as keys in hash tables. They may have global scope, meaning they are visible from every line of code, or local scope, with visibility restricted to a single file or function body.<table class="examples"><tr><td><pre>i1 : x
o1 = x
o1 : Symbol</pre>
</td></tr>
<tr><td><pre>i2 : ab12
o2 = ab12
o2 : Symbol</pre>
</td></tr>
</table>
</div>
</div>
<div class="single"><h2>See also</h2>
<ul><li><span><a href="__co_eq.html" title="assignment of method or new local variable">:=</a> -- assignment of method or new local variable</span></li>
</ul>
</div>
<div class="waystouse"><h2>Types of symbol :</h2>
<ul><li><span><a href="___Keyword.html" title="the class of all keywords">Keyword</a> -- the class of all keywords</span></li>
</ul>
<h2>Functions and methods returning a symbol :</h2>
<ul><li><span><a href="_global.html" title="get a global symbol">global</a> -- get a global symbol</span></li>
<li><span><a href="_local.html" title="get a local symbol">local</a> -- get a local symbol</span></li>
<li><span><a href="_symbol.html" title="get a symbol">symbol</a> -- get a symbol</span></li>
</ul>
<h2>Methods that use a symbol :</h2>
<ul><li><span>Symbol == Symbol, see <span><a href="__eq_eq.html" title="equality">==</a> -- equality</span></span></li>
<li><span>Symbol ? IndexedVariable, see <span><a href="__qu.html" title="comparison operator">?</a> -- comparison operator</span></span></li>
<li><span><a href="_add__Hook_lp__Symbol_cm__Function_rp.html" title="add a hook function to an object for later processing">addHook(Symbol,Function)</a> -- add a hook function to an object for later processing</span></li>
<li><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></li>
<li><span>baseName(Symbol), 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>concatenate(Symbol), see <span><a href="_concatenate.html" title="join strings">concatenate</a> -- join strings</span></span></li>
<li><span>dictionary(Symbol), see <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></span></li>
<li><span>export(Symbol), see <span><a href="_export.html" title="package item: export functions">export</a> -- package item: export functions</span></span></li>
<li><span>exportMutable(Symbol), see <span><a href="_export__Mutable.html" title="package item: export writable variables">exportMutable</a> -- package item: export writable variables</span></span></li>
<li><span>File << Symbol, see <span><a href="___File_sp_lt_lt_sp__Thing.html" title="print to a file">File << Thing</a> -- print to a file</span></span></li>
<li><span><a href="_find__Synonyms_lp__Symbol_rp.html" title="find synonyms of symbols">findSynonyms(Symbol)</a> -- find synonyms of symbols</span></li>
<li><span>frames(Symbol), see <span><a href="_frames.html" title="get the frames associated to a closure">frames</a> -- get the frames associated to a closure</span></span></li>
<li><span>help(Symbol), see <span><a href="_help.html" title="help command">help</a> -- help command</span></span></li>
<li><span>installAssignmentMethod(Symbol,HashTable,Function), see <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></span></li>
<li><span>installAssignmentMethod(Symbol,HashTable,HashTable,Function), see <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></span></li>
<li><span>installAssignmentMethod(Symbol,HashTable,HashTable,Option), see <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></span></li>
<li><span>installAssignmentMethod(Symbol,HashTable,Option), see <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></span></li>
<li><span>localDictionaries(Symbol), see <span><a href="_local__Dictionaries.html" title="get local dictionaries">localDictionaries</a> -- get local dictionaries</span></span></li>
<li><span>locate(Symbol), see <span><a href="_locate.html" title="locate source code">locate</a> -- locate source code</span></span></li>
<li><span>package(Symbol), see <span><a href="_package.html" title="get containing package">package</a> -- get containing package</span></span></li>
<li><span><a href="_remove__Hook_lp__Symbol_cm__Function_rp.html" title="remove a hook function from an object">removeHook(Symbol,Function)</a> -- remove a hook function from an object</span></li>
<li><span><a href="_run__Hooks_lp__Symbol_cm__Thing_rp.html" title="run the hook functions stored in an object">runHooks(Symbol,Thing)</a> -- run the hook functions stored in an object</span></li>
<li><span>schurRing(Symbol,ZZ), see <span><a href="../../SchurRings/html/_schur__Ring.html" title="make a Schur ring">schurRing</a> -- make a Schur ring</span></span></li>
<li><span><a href="___Symbol_sp.._sp__Symbol.html" title="sequences of consecutive symbols">Symbol .. Symbol</a> -- sequences of consecutive symbols</span></li>
<li><span><a href="___Symbol_sp.._lt_sp__Symbol.html" title="sequences of consecutive symbols">Symbol ..< Symbol</a> -- sequences of consecutive symbols</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="___Symbol_sp_us_sp__Thing.html" title="index variable">Symbol _ Thing</a> -- index variable</span></li>
<li><span><a href="___Symbol_sp_us_sp__Thing_sp_eq_sp__Thing.html" title="assignment to an indexed variable">Symbol _ Thing = Thing</a> -- assignment to an indexed variable</span></li>
<li><span><a href="_value_lp__Symbol_rp.html" title="retrieve the value of a symbol">value(Symbol)</a> -- retrieve the value of a symbol</span></li>
</ul>
<h2>Fixed objects of class Symbol :</h2>
<ul><li><span><a href="___Absolute__Links.html" title="name for an optional argument">AbsoluteLinks</a> -- name for an optional argument</span></li>
<li><span><a href="___After__Eval.html" title="top level method applied after evaluation">AfterEval</a> -- top level method applied after evaluation</span></li>
<li><span><a href="___After__No__Print.html" title="top level method applied after not printing">AfterNoPrint</a> -- top level method applied after not printing</span></li>
<li><span><a href="___After__Print.html" title="top level method applied after printing">AfterPrint</a> -- top level method applied after printing</span></li>
<li><span><a href="___Algorithm.html" title="name for an optional argument">Algorithm</a> -- name for an optional argument</span></li>
<li><span><a href="___Alignment.html" title="name for an optional argument">Alignment</a> -- name for an optional argument</span></li>
<li><span><tt>AllCodimensions</tt> (missing documentation<!-- tag: AllCodimensions -->)</span></li>
<li><span><a href="_argument.html" title="specify the function in a scripted functor for an argument">argument</a> -- specify the function in a scripted functor for an argument</span></li>
<li><span><a href="___Ascending.html" title="">Ascending</a></span></li>
<li><span><a href="___Bareiss.html" title="">Bareiss</a></span></li>
<li><span><a href="_base__Rings.html" title="store the list of base rings of a ring">baseRings</a> -- store the list of base rings of a ring</span></li>
<li><span><a href="___Base__Row.html" title="name for an optional argument">BaseRow</a> -- name for an optional argument</span></li>
<li><span>Truncate, see <span><a href="_basis.html" title="basis of all or part of a module or ring">basis</a> -- basis of all or part of a module or ring</span></span></li>
<li><span><a href="___Basis__Element__Limit.html" title="name for an optional argument">BasisElementLimit</a> -- name for an optional argument</span></li>
<li><span><a href="___Bayer.html" title="a Strategy option value for saturate">Bayer</a> -- a Strategy option value for saturate</span></li>
<li><span><a href="___Before__Print.html" title="top level method applied before printing results">BeforePrint</a> -- top level method applied before printing results</span></li>
<li><span><a href="___Binomial.html" title="name for an optional argument">Binomial</a> -- name for an optional argument</span></li>
<li><span><a href="../../LLLBases/html/___B__K__Z.html" title="compute BKZ reduced basis instead of an LLL reduced basis">BKZ</a> -- compute BKZ reduced basis instead of an LLL reduced basis</span></li>
<li><span><a href="___Boxes.html" title="name for an optional argument">Boxes</a> -- name for an optional argument</span></li>
<li><span><a href="_cache.html" title="a key under which to store cache tables">cache</a> -- a key under which to store cache tables</span></li>
<li><span><a href="___Cache__Example__Output.html" title="name for an optional argument">CacheExampleOutput</a> -- name for an optional argument</span></li>
<li><span><a href="___Center.html" title="value for an optional argument">Center</a> -- value for an optional argument</span></li>
<li><span><a href="___Certification.html" title="name for an optional argument">Certification</a> -- name for an optional argument</span></li>
<li><span><a href="___Change__Matrix.html" title="name for an optional argument">ChangeMatrix</a> -- name for an optional argument</span></li>
<li><span><a href="___Check__Documentation.html" title="name for an optional argument">CheckDocumentation</a> -- name for an optional argument</span></li>
<li><span><a href="___Closest__Fit.html" title="name for an optional argument">ClosestFit</a> -- name for an optional argument</span></li>
<li><span><a href="___Codimension__Limit.html" title="name for an optional argument">CodimensionLimit</a> -- name for an optional argument</span></li>
<li><span><a href="___Coefficient__Ring.html" title="name for an optional argument">CoefficientRing</a> -- name for an optional argument</span></li>
<li><span><a href="___Cofactor.html" title="">Cofactor</a></span></li>
<li><span><a href="../../LLLBases/html/___Cohen__Engine.html" title="use the original Macaulay2 LLL algorithm">CohenEngine</a> -- use the original Macaulay2 LLL algorithm</span></li>
<li><span><a href="../../LLLBases/html/___Cohen__Top__Level.html" title="use the Macaulay2 language LLL algorithm">CohenTopLevel</a> -- use the Macaulay2 language LLL algorithm</span></li>
<li><span><a href="___Complement.html" title="">Complement</a></span></li>
<li><span><a href="___Complete__Intersection.html" title="name for an optional argument">CompleteIntersection</a> -- name for an optional argument</span></li>
<li><span><a href="../../IntegralClosure/html/___Conductor__Element.html" title="Specifies a particular non-zerodivisor in the conductor.">ConductorElement</a> -- Specifies a particular non-zerodivisor in the conductor.</span></li>
<li><span><a href="_dd.html" title="differential in a chain complex">dd</a> -- differential in a chain complex</span></li>
<li><span><a href="___Debugging__Mode.html" title="name for an optional argument">DebuggingMode</a> -- name for an optional argument</span></li>
<li><span><a href="___Decompose.html" title="name for an optional argument">Decompose</a> -- name for an optional argument</span></li>
<li><span><a href="___Degree.html" title="">Degree</a></span></li>
<li><span><a href="___Degree__Lift.html" title="name for an optional argument">DegreeLift</a> -- name for an optional argument</span></li>
<li><span><a href="___Degree__Limit.html" title="name for an optional argument">DegreeLimit</a> -- name for an optional argument</span></li>
<li><span><a href="___Degree__Map.html" title="name for an optional argument">DegreeMap</a> -- name for an optional argument</span></li>
<li><span><a href="___Degree__Order.html" title="sort primarily by degree">DegreeOrder</a> -- sort primarily by degree</span></li>
<li><span><a href="___Degree__Rank.html" title="name for an optional argument">DegreeRank</a> -- name for an optional argument</span></li>
<li><span><a href="___Degrees.html" title="name for an optional argument">Degrees</a> -- name for an optional argument</span></li>
<li><span><a href="___Dense.html" title="name for an optional argument">Dense</a> -- name for an optional argument</span></li>
<li><span><a href="___Density.html" title="name for an optional argument">Density</a> -- name for an optional argument</span></li>
<li><span><a href="___Descending.html" title="specify descending order">Descending</a> -- specify descending order</span></li>
<li><span><a href="___Description.html" title="name for an optional argument">Description</a> -- name for an optional argument</span></li>
<li><span><a href="___Divide__Conquer.html" title="name for an optional argument">DivideConquer</a> -- name for an optional argument</span></li>
<li><span>BaseFunction, see <span><a href="_document_lp..._cm_sp__Base__Function_sp_eq_gt_sp..._rp.html" title="function for a documented feature">document(..., BaseFunction => ...)</a> -- function for a documented feature</span></span></li>
<li><span>Caveat, see <span><a href="_document_lp..._cm_sp__Caveat_sp_eq_gt_sp..._rp.html" title="warnings">document(..., Caveat => ...)</a> -- warnings</span></span></li>
<li><span>Consequences, see <span><a href="_document_lp..._cm_sp__Consequences_sp_eq_gt_sp..._rp.html" title="side-effects of a function">document(..., Consequences => ...)</a> -- side-effects of a function</span></span></li>
<li><span>Inputs, see <span><a href="_document_lp..._cm_sp__Inputs_sp_eq_gt_sp..._rp.html" title="inputs for a function">document(..., Inputs => ...)</a> -- inputs for a function</span></span></li>
<li><span>Key, see <span><a href="_document_lp..._cm_sp__Key_sp_eq_gt_sp..._rp.html" title="key of a documentation node">document(..., Key => ...)</a> -- key of a documentation node</span></span></li>
<li><span>Outputs, see <span><a href="_document_lp..._cm_sp__Outputs_sp_eq_gt_sp..._rp.html" title="outputs for a function">document(..., Outputs => ...)</a> -- outputs for a function</span></span></li>
<li><span>SeeAlso, see <span><a href="_document_lp..._cm_sp__See__Also_sp_eq_gt_sp..._rp.html" title="crossreferences in documentation">document(..., SeeAlso => ...)</a> -- crossreferences in documentation</span></span></li>
<li><span>Subnodes, see <span><a href="_document_lp..._cm_sp__Subnodes_sp_eq_gt_sp..._rp.html" title="a menu of documentation nodes">document(..., Subnodes => ...)</a> -- a menu of documentation nodes</span></span></li>
<li><span><a href="___Encapsulate.html" title="name for an optional argument">Encapsulate</a> -- name for an optional argument</span></li>
<li><span><a href="___Encapsulate__Directory.html" title="name for an optional argument">EncapsulateDirectory</a> -- name for an optional argument</span></li>
<li><span><a href="_end.html" title="stop loading a file">end</a> -- stop loading a file</span></li>
<li><span><a href="___Engine.html" title="specify whether a ring is handled by the engine">Engine</a> -- specify whether a ring is handled by the engine</span></li>
<li><span><a href="___Exclude.html" title="name for an optional argument">Exclude</a> -- name for an optional argument</span></li>
<li><span><a href="___File__Name.html" title="name for an optional argument">FileName</a> -- name for an optional argument</span></li>
<li><span><a href="___Find__One.html" title="find a primitive element">FindOne</a> -- find a primitive element</span></li>
<li><span><a href="___First.html" title="name for an optional argument">First</a> -- name for an optional argument</span></li>
<li><span><a href="___Flat__Monoid.html" title="">FlatMonoid</a></span></li>
<li><span><a href="___Follow__Links.html" title="name for an optional argument">FollowLinks</a> -- name for an optional argument</span></li>
<li><span><a href="___Format.html" title="name for an optional argument">Format</a> -- name for an optional argument</span></li>
<li><span>Homogeneous2, see <span><a href="_gb.html" title="compute a Gröbner basis">gb</a> -- compute a Gröbner basis</span></span></li>
<li><span>LinearAlgebra, see <span><a href="_gb.html" title="compute a Gröbner basis">gb</a> -- compute a Gröbner basis</span></span></li>
<li><span>Sugarless, see <span><a href="_gb.html" title="compute a Gröbner basis">gb</a> -- compute a Gröbner basis</span></span></li>
<li><span>Toric, see <span><a href="_gb.html" title="compute a Gröbner basis">gb</a> -- compute a Gröbner basis</span></span></li>
<li><span>UseSyzygies, see <span><a href="_gb.html" title="compute a Gröbner basis">gb</a> -- compute a Gröbner basis</span></span></li>
<li><span><a href="___G__B__Degrees.html" title="name for an optional argument">GBDegrees</a> -- name for an optional argument</span></li>
<li><span><a href="___Generic.html" title="name for an optional argument">Generic</a> -- name for an optional argument</span></li>
<li><span>CurrentVersion, see <span><a href="_get__Package_lp__String_rp.html" title="download a package from the repository">getPackage(String)</a> -- download a package from the repository</span></span></li>
<li><span>Repository, see <span><a href="_get__Package_lp__String_rp.html" title="download a package from the repository">getPackage(String)</a> -- download a package from the repository</span></span></li>
<li><span><a href="../../LLLBases/html/___Givens.html" title="use Givens rotations instead of Gram-Schmidt during LLL">Givens</a> -- use Givens rotations instead of Gram-Schmidt during LLL</span></li>
<li><span><a href="___G__Lex.html" title="graded lexicographic ordering">GLex</a> -- graded lexicographic ordering</span></li>
<li><span><a href="___Global__Assign__Hook.html" title="hook for assignment to global variables">GlobalAssignHook</a> -- hook for assignment to global variables</span></li>
<li><span><a href="___Global__Release__Hook.html" title="">GlobalReleaseHook</a></span></li>
<li><span><a href="___G__Rev__Lex.html" title="graded reverse lexicographical monomial order.">GRevLex</a> -- graded reverse lexicographical monomial order.</span></li>
<li><span><a href="___Group__Lex.html" title="defines a ring where some variables are inverted">GroupLex</a> -- defines a ring where some variables are inverted</span></li>
<li><span><a href="___Group__Rev__Lex.html" title="">GroupRevLex</a></span></li>
<li><span><a href="___Hard__Degree__Limit.html" title="compute only up to this degree">HardDegreeLimit</a> -- compute only up to this degree</span></li>
<li><span><a href="___Heading.html" title="name for an optional argument">Heading</a> -- name for an optional argument</span></li>
<li><span><a href="___Headline.html" title="make a headline for a documentation node">Headline</a> -- make a headline for a documentation node</span></li>
<li><span><a href="___Heft.html" title="name for an optional argument">Heft</a> -- name for an optional argument</span></li>
<li><span><a href="___Height.html" title="name for an optional argument">Height</a> -- name for an optional argument</span></li>
<li><span><a href="___Hermitian.html" title="name for an optional argument">Hermitian</a> -- name for an optional argument</span></li>
<li><span><a href="___Hilbert.html" title="name for an optional argument">Hilbert</a> -- name for an optional argument</span></li>
<li><span><a href="___Homogeneous.html" title="">Homogeneous</a></span></li>
<li><span><a href="___Horizontal__Space.html" title="name for an optional argument">HorizontalSpace</a> -- name for an optional argument</span></li>
<li><span><a href="___Ignore__Example__Errors.html" title="name for an optional argument">IgnoreExampleErrors</a> -- name for an optional argument</span></li>
<li><span><a href="_incomparable.html" title="a result indicating incomparability">incomparable</a> -- a result indicating incomparability</span></li>
<li><span><a href="../../IntegralClosure/html/___Index.html" title="Optional input for idealizer">Index</a> -- Optional input for idealizer</span></li>
<li><span><a href="_index__Components.html" title="specify keys for components of a direct sum">indexComponents</a> -- specify keys for components of a direct sum</span></li>
<li><span><a href="___Inhomogeneous.html" title="">Inhomogeneous</a></span></li>
<li><span><a href="___Install__Prefix.html" title="name for an optional argument">InstallPrefix</a> -- name for an optional argument</span></li>
<li><span><a href="___Intersection.html" title="value for an optional argument">Intersection</a> -- value for an optional argument</span></li>
<li><span><a href="___Inverse__Method.html" title="compute reciprocals">InverseMethod</a> -- compute reciprocals</span></li>
<li><span><a href="___Inverses.html" title="name for an optional argument">Inverses</a> -- name for an optional argument</span></li>
<li><span><a href="___Iterate.html" title="a Strategy option value for saturate">Iterate</a> -- a Strategy option value for saturate</span></li>
<li><span><a href="___Join.html" title="name for an optional argument">Join</a> -- name for an optional argument</span></li>
<li><span><a href="../../IntegralClosure/html/___Keep.html" title="an optional argument for various functions">Keep</a> -- an optional argument for various functions</span></li>
<li><span><a href="___Keep__Zeroes.html" title="name for an optional argument">KeepZeroes</a> -- name for an optional argument</span></li>
<li><span><a href="___Left.html" title="value for an optional argument">Left</a> -- value for an optional argument</span></li>
<li><span><a href="___Length__Limit.html" title="stop when the resolution reaches this length">LengthLimit</a> -- stop when the resolution reaches this length</span></li>
<li><span><a href="___Lex.html" title="lexicographical monomial order.">Lex</a> -- lexicographical monomial order.</span></li>
<li><span><a href="___Limit.html" title="name for an optional argument">Limit</a> -- name for an optional argument</span></li>
<li><span><a href="___Linear.html" title="a Strategy option value for saturate">Linear</a> -- a Strategy option value for saturate</span></li>
<li><span><a href="___Load__Documentation.html" title="when loading a package, load the documentation, too">LoadDocumentation</a> -- when loading a package, load the documentation, too</span></li>
<li><span><a href="___Local.html" title="name for an optional argument">Local</a> -- name for an optional argument</span></li>
<li><span><a href="___Long__Polynomial.html" title="">LongPolynomial</a></span></li>
<li><span><a href="___Make__Documentation.html" title="name for an optional argument">MakeDocumentation</a> -- name for an optional argument</span></li>
<li><span><a href="___Make__Info.html" title="name for an optional argument">MakeInfo</a> -- name for an optional argument</span></li>
<li><span><a href="___Make__Links.html" title="name for an optional argument">MakeLinks</a> -- name for an optional argument</span></li>
<li><span><a href="___Maximal__Rank.html" title="name for an optional argument">MaximalRank</a> -- name for an optional argument</span></li>
<li><span><a href="___Max__Reduction__Count.html" title="name for an optional argument">MaxReductionCount</a> -- name for an optional argument</span></li>
<li><span>Dispatch, see <span><a href="_method.html" title="make a new method function">method</a> -- make a new method function</span></span></li>
<li><span>TypicalValue, see <span><a href="_method.html" title="make a new method function">method</a> -- make a new method function</span></span></li>
<li><span><a href="___Minimal__Generators.html" title="">MinimalGenerators</a></span></li>
<li><span><a href="___Minimal__Matrix.html" title="name for an optional argument">MinimalMatrix</a> -- name for an optional argument</span></li>
<li><span>minimalPresentationMap, see <span><a href="_minimal__Presentation_lp__Ring_rp.html" title="compute a minimal presentation of a quotient ring">minimalPresentation(Ring)</a> -- compute a minimal presentation of a quotient ring</span></span></li>
<li><span>minimalPresentationMapInv, see <span><a href="_minimal__Presentation_lp__Ring_rp.html" title="compute a minimal presentation of a quotient ring">minimalPresentation(Ring)</a> -- compute a minimal presentation of a quotient ring</span></span></li>
<li><span><a href="___Minimize.html" title="name for an optional argument">Minimize</a> -- name for an optional argument</span></li>
<li><span>SkewCommutative, see <span><a href="_monoid.html" title="make or retrieve a monoid">monoid</a> -- make or retrieve a monoid</span></span></li>
<li><span>VariableBaseName, see <span><a href="_monoid.html" title="make or retrieve a monoid">monoid</a> -- make or retrieve a monoid</span></span></li>
<li><span><a href="___Monomial.html" title="name for an optional argument">Monomial</a> -- name for an optional argument</span></li>
<li><span>Down, see <span><a href="___Monomial__Order.html" title="monomial ordering">MonomialOrder</a> -- monomial ordering</span></span></li>
<li><span>Global, see <span><a href="___Monomial__Order.html" title="monomial ordering">MonomialOrder</a> -- monomial ordering</span></span></li>
<li><span><a href="___Monomial__Order.html" title="monomial ordering">MonomialOrder</a> -- monomial ordering</span></li>
<li><span>Position, see <span><a href="___Monomial__Order.html" title="monomial ordering">MonomialOrder</a> -- monomial ordering</span></span></li>
<li><span>Up, see <span><a href="___Monomial__Order.html" title="monomial ordering">MonomialOrder</a> -- monomial ordering</span></span></li>
<li><span><a href="___Monomials.html" title="whether to display the number of monomial">Monomials</a> -- whether to display the number of monomial</span></li>
<li><span><a href="___Monomial__Size.html" title="name for an optional argument">MonomialSize</a> -- name for an optional argument</span></li>
<li><span><a href="___N__C__Lex.html" title="Non-commutative lexicographical order.">NCLex</a> -- Non-commutative lexicographical order.</span></li>
<li><span><a href="___New__From__Method.html" title="">NewFromMethod</a></span></li>
<li><span><a href="___New__Method.html" title="">NewMethod</a></span></li>
<li><span><a href="___New__Of__From__Method.html" title="">NewOfFromMethod</a></span></li>
<li><span><a href="___New__Of__Method.html" title="">NewOfMethod</a></span></li>
<li><span>Authors, see <span><a href="_new__Package_lp__String_rp.html" title="package item: start a new package">newPackage(String)</a> -- package item: start a new package</span></span></li>
<li><span>AuxiliaryFiles, see <span><a href="_new__Package_lp__String_rp.html" title="package item: start a new package">newPackage(String)</a> -- package item: start a new package</span></span></li>
<li><span>Configuration, see <span><a href="_new__Package_lp__String_rp.html" title="package item: start a new package">newPackage(String)</a> -- package item: start a new package</span></span></li>
<li><span>Date, see <span><a href="_new__Package_lp__String_rp.html" title="package item: start a new package">newPackage(String)</a> -- package item: start a new package</span></span></li>
<li><span>Email, see <span><a href="_new__Package_lp__String_rp.html" title="package item: start a new package">newPackage(String)</a> -- package item: start a new package</span></span></li>
<li><span>HomePage, see <span><a href="_new__Package_lp__String_rp.html" title="package item: start a new package">newPackage(String)</a> -- package item: start a new package</span></span></li>
<li><span>InfoDirSection, see <span><a href="_new__Package_lp__String_rp.html" title="package item: start a new package">newPackage(String)</a> -- package item: start a new package</span></span></li>
<li><span>Name, see <span><a href="_new__Package_lp__String_rp.html" title="package item: start a new package">newPackage(String)</a> -- package item: start a new package</span></span></li>
<li><span>Version, see <span><a href="_new__Package_lp__String_rp.html" title="package item: start a new package">newPackage(String)</a> -- package item: start a new package</span></span></li>
<li><span><a href="___No__Print.html" title="top level method for non-printing results">NoPrint</a> -- top level method for non-printing results</span></li>
<li><span><a href="../../LLLBases/html/___N__T__L.html" title="use the all-integer LLL strategy from NTL library">NTL</a> -- use the all-integer LLL strategy from NTL library</span></li>
<li><span>CallLimit, see <span><a href="_on.html" title="trace a function each time it's run">on</a> -- trace a function each time it's run</span></span></li>
<li><span>Binary, see <span><a href="_operator__Attributes.html" title="">operatorAttributes</a></span></span></li>
<li><span>Flexible, see <span><a href="_operator__Attributes.html" title="">operatorAttributes</a></span></span></li>
<li><span>Postfix, see <span><a href="_operator__Attributes.html" title="">operatorAttributes</a></span></span></li>
<li><span>Prefix, see <span><a href="_operator__Attributes.html" title="">operatorAttributes</a></span></span></li>
<li><span><a href="___Options.html" title="name for an optional argument">Options</a> -- name for an optional argument</span></li>
<li><span><a href="___Order.html" title="specify the order of a Hilbert series required">Order</a> -- specify the order of a Hilbert series required</span></li>
<li><span><a href="_order.html" title="a key used internally ">order</a> -- a key used internally </span></li>
<li><span><a href="___Package__Prefix.html" title="name for an optional argument">PackagePrefix</a> -- name for an optional argument</span></li>
<li><span><a href="___Pair__Limit.html" title="name for an optional argument">PairLimit</a> -- name for an optional argument</span></li>
<li><span><a href="___Pairs__Remaining.html" title="whether to display the number of S-pairs remaining">PairsRemaining</a> -- whether to display the number of S-pairs remaining</span></li>
<li><span>Increment, see <span><a href="../../PrimaryDecomposition/html/_primary__Component_lp..._cm_sp__Increment_sp_eq_gt_sp..._rp.html" title="">primaryComponent(..., Increment => ...)</a></span></span></li>
<li><span>EisenbudHunekeVasconcelos, see <span><a href="../../PrimaryDecomposition/html/_primary__Decomposition_lp..._cm_sp__Strategy_sp_eq_gt_sp..._rp.html" title="">primaryDecomposition(..., Strategy => ...)</a></span></span></li>
<li><span>GTZ, see <span><a href="../../PrimaryDecomposition/html/_primary__Decomposition_lp..._cm_sp__Strategy_sp_eq_gt_sp..._rp.html" title="">primaryDecomposition(..., Strategy => ...)</a></span></span></li>
<li><span>ShimoyamaYokoyama, see <span><a href="../../PrimaryDecomposition/html/_primary__Decomposition_lp..._cm_sp__Strategy_sp_eq_gt_sp..._rp.html" title="">primaryDecomposition(..., Strategy => ...)</a></span></span></li>
<li><span><a href="___Primary__Tag.html" title="for internal use only: a symbol used in storing documentation">PrimaryTag</a> -- for internal use only: a symbol used in storing documentation</span></li>
<li><span><a href="___Primitive__Element.html" title="specify a primitive element">PrimitiveElement</a> -- specify a primitive element</span></li>
<li><span><a href="___Print.html" title="top level method for printing results">Print</a> -- top level method for printing results</span></li>
<li><span><a href="___Projective.html" title="whether to produce a projective Hilbert polynomial">Projective</a> -- whether to produce a projective Hilbert polynomial</span></li>
<li><span><a href="_pruning__Map.html" title="">pruningMap</a></span></li>
<li><span><a href="___Quotient.html" title="value for an optional argument">Quotient</a> -- value for an optional argument</span></li>
<li><span><a href="../../IntegralClosure/html/___Radical__Codim1.html" title="a symbol denoting a strategy element usable with integralClosure(...,Strategy=>...)">RadicalCodim1</a> -- a symbol denoting a strategy element usable with integralClosure(...,Strategy=>...)</span></li>
<li><span><a href="../../LLLBases/html/___Real__F__P.html" title="use double precision real numbers">RealFP</a> -- use double precision real numbers</span></li>
<li><span><a href="../../LLLBases/html/___Real__Q__P.html" title="use quadruple precision real numbers">RealQP</a> -- use quadruple precision real numbers</span></li>
<li><span><a href="../../LLLBases/html/___Real__Q__P1.html" title="use a combination of double precision and quad precision real numbers">RealQP1</a> -- use a combination of double precision and quad precision real numbers</span></li>
<li><span><a href="../../LLLBases/html/___Real__R__R.html" title="use arbitrary precision real numbers">RealRR</a> -- use arbitrary precision real numbers</span></li>
<li><span><a href="../../LLLBases/html/___Real__X__D.html" title="use extended exponent real numbers">RealXD</a> -- use extended exponent real numbers</span></li>
<li><span><a href="___Reduce.html" title="name for an optional argument">Reduce</a> -- name for an optional argument</span></li>
<li><span><a href="___Remake__All__Documentation.html" title="name for an optional argument">RemakeAllDocumentation</a> -- name for an optional argument</span></li>
<li><span><a href="___Rerun__Examples.html" title="name for an optional argument">RerunExamples</a> -- name for an optional argument</span></li>
<li><span><a href="___Result.html" title="name for an optional argument">Result</a> -- name for an optional argument</span></li>
<li><span><a href="_return__Code.html" title="">returnCode</a></span></li>
<li><span><a href="___Reverse.html" title="name for an optional argument">Reverse</a> -- name for an optional argument</span></li>
<li><span><a href="___Rev__Lex.html" title="reverse lexicographic ordering">RevLex</a> -- reverse lexicographic ordering</span></li>
<li><span><a href="___Right.html" title="value for an optional argument">Right</a> -- value for an optional argument</span></li>
<li><span><a href="___Run__Examples.html" title="name for an optional argument">RunExamples</a> -- name for an optional argument</span></li>
<li><span><a href="___Separate__Exec.html" title="name for an optional argument">SeparateExec</a> -- name for an optional argument</span></li>
<li><span><a href="___Size__Limit.html" title="name for an optional argument">SizeLimit</a> -- name for an optional argument</span></li>
<li><span><a href="___Sort.html" title="">Sort</a></span></li>
<li><span><a href="___Sort__Strategy.html" title="specify a strategy for sorting S-pairs">SortStrategy</a> -- specify a strategy for sorting S-pairs</span></li>
<li><span><a href="___Source__Code.html" title="name for an optional argument">SourceCode</a> -- name for an optional argument</span></li>
<li><span><a href="___Source__Ring.html" title="name for an optional argument">SourceRing</a> -- name for an optional argument</span></li>
<li><span><a href="___Standard.html" title="the standard top level printing method">Standard</a> -- the standard top level printing method</span></li>
<li><span><a href="___Stop__Before__Computation.html" title="name for an optional argument">StopBeforeComputation</a> -- name for an optional argument</span></li>
<li><span><a href="___Stop__With__Minimal__Generators.html" title="name for an optional argument">StopWithMinimalGenerators</a> -- name for an optional argument</span></li>
<li><span><a href="___Strategy.html" title="name for an optional argument">Strategy</a> -- name for an optional argument</span></li>
<li><span><a href="___Subring__Limit.html" title="stop after finding enough elements of a subring">SubringLimit</a> -- stop after finding enough elements of a subring</span></li>
<li><span><a href="_subscript.html" title="specify the function in a scripted functor for a subscript">subscript</a> -- specify the function in a scripted functor for a subscript</span></li>
<li><span><a href="_superscript.html" title="specify the function in a scripted functor for a superscript">superscript</a> -- specify the function in a scripted functor for a superscript</span></li>
<li><span><a href="___Syzygies.html" title="name for an optional argument">Syzygies</a> -- name for an optional argument</span></li>
<li><span><a href="___Syzygy__Limit.html" title="name for an optional argument">SyzygyLimit</a> -- name for an optional argument</span></li>
<li><span><a href="___Syzygy__Matrix.html" title="name for an optional argument">SyzygyMatrix</a> -- name for an optional argument</span></li>
<li><span><a href="___Syzygy__Rows.html" title="name for an optional argument">SyzygyRows</a> -- name for an optional argument</span></li>
<li><span><a href="___Te__Xmacs.html" title="the TeXmacs top level printing method">TeXmacs</a> -- the TeXmacs top level printing method</span></li>
<li><span><a href="../../LLLBases/html/___Threshold.html" title="the LLL threshold, in interval (1/4,1]">Threshold</a> -- the LLL threshold, in interval (1/4,1]</span></li>
<li><span><a href="___Total__Pairs.html" title="whether to display the total number of S-pairs">TotalPairs</a> -- whether to display the total number of S-pairs</span></li>
<li><span><tt>Tries</tt> (missing documentation<!-- tag: Tries -->)</span></li>
<li><span><a href="___Undo.html" title="name for an optional argument">Undo</a> -- name for an optional argument</span></li>
<li><span><a href="___Unmixed.html" title="name for an optional argument">Unmixed</a> -- name for an optional argument</span></li>
<li><span><a href="___Update__Only.html" title="only copies of newer files should replace files">UpdateOnly</a> -- only copies of newer files should replace files</span></li>
<li><span><a href="___Upper__Triangular.html" title="name for an optional argument">UpperTriangular</a> -- name for an optional argument</span></li>
<li><span><a href="___Usage.html" title="shows the usage of a function">Usage</a> -- shows the usage of a function</span></li>
<li><span><a href="___Use__Hilbert__Function.html" title="">UseHilbertFunction</a></span></li>
<li><span><a href="___User__Mode.html" title="name for an optional argument">UserMode</a> -- name for an optional argument</span></li>
<li><span><a href="___Variable.html" title="specify a name for a variable">Variable</a> -- specify a name for a variable</span></li>
<li><span><a href="___Variables.html" title="name for an optional argument">Variables</a> -- name for an optional argument</span></li>
<li><span><a href="___Verbose.html" title="request verbose feedback">Verbose</a> -- request verbose feedback</span></li>
<li><span><a href="../../IntegralClosure/html/___Verbosity.html" title="optional argument describing how verbose the output should be">Verbosity</a> -- optional argument describing how verbose the output should be</span></li>
<li><span><a href="___Verify.html" title="verify that a map is well-defined">Verify</a> -- verify that a map is well-defined</span></li>
<li><span><a href="___Vertical__Space.html" title="name for an optional argument">VerticalSpace</a> -- name for an optional argument</span></li>
<li><span><a href="___Weights.html" title="assigning weights to the variables">Weights</a> -- assigning weights to the variables</span></li>
<li><span><a href="___Weyl__Algebra.html" title="name for an optional argument">WeylAlgebra</a> -- name for an optional argument</span></li>
<li><span><a href="___Wrap.html" title="a key for methods for wrapping printed output">Wrap</a> -- a key for methods for wrapping printed output</span></li>
</ul>
</div>
<div class="waystouse"><h2>For the programmer</h2>
<p>The object <a href="___Symbol.html" title="the class of all symbols">Symbol</a> is <span>a <a href="___Type.html">type</a></span>, with ancestor class <a href="___Thing.html" title="the class of all things">Thing</a>.</p>
</div>
</div>
</body>
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