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  • 17:12, 26 June 2015 Stadler talk contribs deleted page ApCoCoA-1:Project management (content was: "{{PAGENAME}} Category:ProjectManagement {| width=70% border="1" cellpadding="5" style="margin:1em 1em 1em 0; border:1px #778 solid; border-collapse:collapse; empty-cells:show;" |- | bgcolor=#E0EEEE | '''News'''...")
  • 17:10, 26 June 2015 Stadler talk contribs restored page ApCoCoA-1:Main Page (77 revisions restored)
  • 17:09, 26 June 2015 Stadler talk contribs deleted page ApCoCoA-1:Main Page (content was: "=Welcome to the website of the computer algebra framework ApCoCoA= '''ApCoCoA''', which is the acronym of '''Ap'''plied '''Co'''mputations in '''Co'''mputer '''A'''lgebra, is based on the computer algebra system [http://cocoa.dima.unige...")
  • 12:15, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.UnsetX (content was: '<command> <title>NC.UnsetX</title> <short_description> Set alpbabet (set of inderminates) to the empty string. (It might be a useless function.) </short_description> <syntax> NC.UnsetX() </syntax> <description> <example> NC.SetX(<quotes>...')
  • 12:15, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.UnsetRules (content was: '<command> <title>NC.UnsetRules</title> <short_description> Set rewriting rules to the empty set. </short_description> <syntax> NC.UnsetRules() </syntax> <description> <example> NC.SetX(<quotes>xy</quotes>); NC.SetRules(<quotes>yx</quot...')
  • 12:15, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.UnsetRelations (content was: '<command> <title>NC.UnsetRelations</title> <short_description> Set relations to the empty set. </short_description> <syntax> NC.UnsetRelations() </syntax> <description> <example> NC.SetX(<quotes>xyz</quotes>); NC.SetRelations(<quotes>y...')
  • 12:15, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.UnsetOrdering (content was: '<command> <title>NC.UnsetOrdering</title> <short_description> Set the current admissible ordering to the default ordering <tt>LLEX</tt> (length-lexicographic ordering). </short_description> <syntax> NC.UnsetOrdering() </syntax> <descript...')
  • 12:15, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.UnsetFp (content was: '<command> <title>NC.UnsetFp</title> <short_description> Set coefficient field to the default coefficient field <tt>Q</tt>, i.e. RAT in CoCoAL. </short_description> <syntax> NC.UnsetFp() </syntax> <description> <example> NC.RingEnv(); Coe...')
  • 12:15, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.Subtract (content was: '<command> <title>NC.Subtract</title> <short_description> Subtraction of two polynomials in a free monoid ring. </short_description> <syntax> NC.Subtract(F1:LIST, F2:LIST):LIST </syntax> <description> <em>Please note:</em> The function(s)...')
  • 12:14, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.SetX (content was: '<command> <title>NC.SetX</title> <short_description> Set alphabet (set of indeterminates). </short_description> <syntax> NC.SetX(X:STRING) </syntax> <description> <itemize> <item>@param <em>X</em>: a STRING which is the alphabet (set of ...')
  • 12:13, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.SetRules (content was: '<command> <title>NC.SetRules</title> <short_description> Set the (rewriting) rules over monoid rings. </short_description> <syntax> NC.SetRules(Rules:LIST) </syntax> <description> Please set ring environment <em>coefficient field</em> <t...')
  • 12:13, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.SetRelations (content was: '<command> <title>NC.SetRelations</title> <short_description> Set relations for a finitely presented monoid ring. </short_description> <syntax> NC.SetRelations(Relations:LIST) </syntax> <description> Before calling the function, please se...')
  • 12:13, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.SetFp (content was: '<command> <title>NC.SetFp</title> <short_description> Set coefficient field to a finite field. </short_description> <syntax> NC.SetFp() NC.SetFp(Prime:INT) </syntax> <description> Note that the default coefficient field is rational numbe...')
  • 12:12, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.ReducedGB (content was: '<command> <title>NC.ReducedGB</title> <short_description> Enumerate a reduced (partial) Groebner basis of a finitely generated two-sided ideal in a free monoid ring. <par/> Note that, given an ideal <tt>I</tt> and an admissible ordering...')
  • 12:12, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.PrefixSaturation (content was: '<command> <title>NC.PrefixSaturation</title> <short_description> Prefix saturation of a polynomial in a finitely presented monoid ring. </short_description> <syntax> NC.PrefixSaturation(F:LIST):LIST NC.PrefixSaturation(F:LIST, LoopBound:...')
  • 12:12, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.PrefixReducedGB (content was: '<command> <title>NC.PrefixReducedGB</title> <short_description> Prefix reduced Groebner basis of a finitely generated (right) ideal in a finitely presented monoid ring. </short_description> <syntax> NC.PrefixReducedGB(G:LIST):LIST </synt...')
  • 12:12, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.PrefixNR (content was: '<command> <title>NC.PrefixNR</title> <short_description> Prefix normal remainder of a polynomial with respect to a list of polynomials in a finitely presented monoid ring. </short_description> <syntax> NC.PrefixNR(F:LIST, G:LIST):LIST </...')
  • 12:12, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.PrefixInterreduction (content was: '<command> <title>NC.PrefixInterreduction</title> <short_description> Prefix interreduction of a list of polynomials in a finitely presented monoid ring. </short_description> <syntax> NC.PrefixInterreduction(G:LIST):LIST </syntax> <descri...')
  • 12:12, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.PrefixGB (content was: '<command> <title>NC.PrefixGB</title> <short_description> Prefix Groebner basis of a finitely generated (right) ideal in a finitely presented monoid ring. </short_description> <syntax> NC.PrefixGB(G:LIST):LIST </syntax> <description> <em>...')
  • 12:11, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.Multiply (content was: '<command> <title>NC.Multiply</title> <short_description> Multiplication of two polynomials in a free monoid ring. </short_description> <syntax> NC.Multiply(F1:LIST, F2:LIST):LIST </syntax> <description> <em>Please note:</em> The function...')
  • 12:11, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MinimalPolynomial (content was: '<command> <title>NC.MinimalPolynomial</title> <short_description> Compute a minimal polynomial of an element over the quotient of a free monoid ring if it exists. </short_description> <syntax> NC.MinimalPolynomial(G:LIST, P:LIST):LIST NC...')
  • 12:11, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRSubtract (content was: '<command> <title>NC.MRSubtract</title> <short_description> Subtraction of two polynomials in a finitely presented monoid ring. </short_description> <syntax> NC.MRSubtract(X:STRING, Ordering:STRING, Relations:LIST, F1:LIST, F2:LIST):LIST ...')
  • 12:11, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRReducedGB (content was: '<command> <title>NC.MRReducedGB</title> <short_description> Enumerate a reduced (partial) Groebner basis of a finitely generated two-sided ideal in a finitely presented monoid ring. <par/> Note that, given an ideal <tt>I</tt> and an adm...')
  • 12:11, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRNR (content was: '<command> <title>NC.MRNR</title> <short_description> Normal remainder of a polynomial with respect to a list of polynomials in a finitely presented monoid ring. </short_description> <syntax> NC.MRNR(X:STRING, Ordering:STRING, Relations:L...')
  • 12:10, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRMultiply (content was: '<command> <title>NC.MRMultiply</title> <short_description> Multiplication of two polynomials in a finitely presented monoid ring. </short_description> <syntax> NC.MRMultiply(X:STRING, Ordering:STRING, Relations:LIST, F1:LIST, F2:LIST):LI...')
  • 12:10, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRMinimalPolynomial (content was: '<command> <title>NC.MRMinimalPolynomial</title> <short_description> Compute a minimal polynomial of an element over the quotient of a finitely presented monoid ring if it exists. </short_description> <syntax> NC.MRMinimalPolynomial(X:STR...')
  • 12:10, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRMB (content was: '<command> <title>NC.MRMB</title> <short_description> Enumerate Macaulay basis of a <tt>K</tt>-algebra. </short_description> <syntax> NC.MRMB(X:STRING, Ordering:STRING, Relations:LIST, Gb:LIST):LIST NC.MRMB(X:STRING, Ordering:STRING, Rela...')
  • 12:10, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRLTIdeal (content was: '<command> <title>NC.MRLTIdeal</title> <short_description> Enumerate a (partial) (two-sided) leading-term ideal of a finitely generated ideal in a finitely presented monoid ring. </short_description> <syntax> NC.MRLTIdeal(X:STRING, Orderi...')
  • 12:10, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRLT (content was: '<command> <title>NC.MRLT</title> <short_description> Leading term of a polynomial in a finitely presented monoid ring. </short_description> <syntax> NC.MRLT(X:STRING, Ordering:STRING, Relations:LIST, F:LIST):STRING </syntax> <description...')
  • 12:10, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRLC (content was: '<command> <title>NC.MRLC</title> <short_description> Leading coefficient of a polynomial in a finitely presented monoid ring. </short_description> <syntax> NC.MRLC(X:STRING, Ordering:STRING, Relations:LIST, F:LIST):INT or RAT </syntax> <...')
  • 12:09, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRKernelOfHomomorphism (content was: '<command> <title>NC.MRKernelOfHomomorphism</title> <short_description> Enumerate a (partial) Groebner basis of the kernel of a <tt>K</tt>-algebra homomorphism. </short_description> <syntax> NC.MRKernelOfHomomorphism(X1:STRING, Relations1...')
  • 12:09, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRIsHomog (content was: '<command> <title>NC.MRIsHomog</title> <short_description> Checks whether a polynomial or a set (LIST) of polynomials is homogeneous in a finitely presented monoid ring. </short_description> <syntax> NC.MRIsHomog(X:STRING, Ordering:STRING...')
  • 12:09, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRIsGB (content was: '<command> <title>NC.MRIsGB</title> <short_description> Check whether a finite list (set) of non-zero polynomials in a finitely presented monoid ring is a Groebner basis. <par/> Note that, given an ideal <tt>I</tt> and an admissible orde...')
  • 12:09, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRIntersection (content was: '<command> <title>NC.MRIntersection</title> <short_description> Enumerate a (partial) Groebner basis of the intersection of two finitely generated two-sided ideals in a finitely presented monoid ring. </short_description> <syntax> NC.MRIn...')
  • 12:09, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRInterreduction (content was: '<command> <title>NC.MRInterreduction</title> <short_description> Interreduce a list (set) of polynomials in a finitely presented monoid ring. <par/> Given an admissible ordering <tt>Ordering</tt>, a set of non-zero polynomial <tt>G</tt>...')
  • 12:09, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRHF (content was: '<command> <title>NC.MRHF</title> <short_description> Hilbert function of a <tt>K</tt>-algebra. <par/> For every <tt>i</tt> in <tt>N</tt>, we let <tt>F_{i}</tt> be the <tt>K</tt>-vector subspace generated by the words of length less than ...')
  • 12:09, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRGB (content was: '<command> <title>NC.MRGB</title> <short_description> Enumerate a (partial) Groebner basis of a finitely generated two-sided ideal in a finitely presented monoid ring (by the Buchberger procedure). <par/> Given an ideal <tt>I</tt> and an...')
  • 12:04, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRDeg (content was: '<command> <title>NC.MRDeg</title> <short_description> (Standard) degree of a polynomial in a finitely presented monoid ring. </short_description> <syntax> NC.MRDeg(X:STRING, Relations:LIST, F:LIST):INT </syntax> <description> <em>Please ...')
  • 12:04, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.MRAdd (content was: '<command> <title>NC.MRAdd</title> <short_description> Addition of two polynomials in a finitely presented monoid ring. </short_description> <syntax> NC.MRAdd(X:STRING, Ordering:STRING, Relations:LIST, F1:LIST, F2:LIST):LIST </syntax> <de...')
  • 12:03, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.LTIdeal (content was: '<command> <title>NC.LTIdeal</title> <short_description> Enumerate a (partial) (two-sided) leading-term ideal of a finitely generated ideal in a free monoid ring. </short_description> <syntax> NC.LTIdeal(G:LIST):LIST NC.LTIdeal(G:LIST, De...')
  • 12:03, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.LT (content was: '<command> <title>NC.LT</title> <short_description> Leading term of a polynomial in a free monoid ring. </short_description> <syntax> NC.LT(F:LIST):STRING </syntax> <description> <em>Please note:</em> The function(s) explained on this pag...')
  • 12:03, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.IsFinite (content was: '<command> <title>NC.IsFinite</title> <short_description> Check whether the <tt>K</tt>-dimension <tt>dim(K<X>/<M>)</tt> is finite, where <tt><M></tt> is an monoid ideal generated by a finite set of monoid <tt>M</tt>. </s...')
  • 12:03, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.GTruncatedGB (content was: '<command> <title>NC.GTruncatedGB</title> <short_description> Compute a degree truncated Groebner basis of a finitely generated homogenous two-sided ideal in a free monoid ring over <tt>F2</tt>. </short_description> <syntax> NC.GTruncated...')
  • 12:03, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.GSubtract (content was: '<command> <title>NC.GSubtract</title> <short_description> Subtraction of two polynomials in a free monoid ring over <tt>F2</tt>. </short_description> <syntax> NC.GSubtract(F1:LIST, F2:LIST):LIST </syntax> <description> <em>Please note:</...')
  • 12:02, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.GReducedGB (content was: '<command> <title>NC.GReducedGB</title> <short_description> Enumerate a reduced (partial) Groebner basis of a finitely generated two-sided ideal in a free monoid ring over <tt>F2</tt>. <par/> Note that, given an ideal <tt>I</tt> and an a...')
  • 12:02, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.GNR (content was: '<command> <title>NC.GNR</title> <short_description> Normal remainder of polynomial with respect to a list of polynomials in a free monoid ring over <tt>F2</tt>. </short_description> <syntax> NC.GNR(F:LIST, G:LIST):INT </syntax> <descript...')
  • 12:02, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.GMultiply (content was: '<command> <title>NC.GMultiply</title> <short_description> Multiplication of two polynomials in a free monoid ring over <tt>F2</tt>. </short_description> <syntax> NC.GMultiply(F1:LIST, F2:LIST):LIST </syntax> <description> <em>Please note...')
  • 12:02, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.GMB (content was: '<command> <title>NC.GMB</title> <short_description> Macauley basis of an <tt>F2</tt>-algebra. </short_description> <syntax> NC.GMB(Gb:LIST):LIST NC.GMB(Gb:LIST, DegreeBound:INT):LIST </syntax> <description> <em>Please note:</em> The func...')
  • 12:02, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.GLT (content was: '<command> <title>NC.GLT</title> <short_description> Leading term of a polynomial in a free monoid ring over <tt>F2</tt>. </short_description> <syntax> NC.GLT(F:LIST):STRING </syntax> <description> <em>Please note:</em> The function(s) ex...')
  • 12:02, 10 May 2013 Stadler talk contribs deleted page ApCoCoA-1:NC.GLC (content was: '<command> <title>NC.GLC</title> <short_description> Leading coefficient of a polynomial in a free monoid ring over <tt>F2</tt>. </short_description> <syntax> NC.GLC(F:LIST):INT </syntax> <description> <em>Please note:</em> The function(s...')
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