Changeset c1986a in git
- Timestamp:
- May 6, 2005, 11:42:02 AM (18 years ago)
- Branches:
- (u'spielwiese', '91fdef05f09f54b8d58d92a472e9c4a43aa4656f')
- Children:
- 1d81b2939a37082b3c46e6e21ab974b485e157ed
- Parents:
- a58f47ac8eee1255eec5e769cce34d8625f4cade
- Location:
- Singular/LIB
- Files:
-
- 9 edited
Legend:
- Unmodified
- Added
- Removed
-
Singular/LIB/control.lib
ra58f47 rc1986a 1 version="$Id: control.lib,v 1. 29 2005-04-30 20:34:59 levandovExp $";1 version="$Id: control.lib,v 1.30 2005-05-06 09:41:58 Singular Exp $"; 2 2 category="System and Control Theory"; 3 3 info=" … … 1602 1602 PURPOSE: define the ring easily 1603 1603 RETURN: no return value 1604 1605 1606 1604 EXAMPLE: example declare; shows an example 1605 " 1606 { 1607 1607 if(size(#)==0) 1608 1608 { … … 1628 1628 }; 1629 1629 keepring(basering); 1630 1631 1632 1630 } 1631 example 1632 {"EXAMPLE:";echo = 2; 1633 1633 string v="x,y,z"; 1634 1634 string p="q,p"; … … 1654 1654 print(basering); 1655 1655 print(nameof(basering)); 1656 }; 1656 } 1657 1657 // 1658 1658 // maybe reasonable to add this in declare -
Singular/LIB/gmspoly.lib
ra58f47 rc1986a 1 1 /////////////////////////////////////////////////////////////////////////////// 2 version="$Id: gmspoly.lib,v 1. 9 2005-04-28 09:23:17Singular Exp $";2 version="$Id: gmspoly.lib,v 1.10 2005-05-06 09:41:59 Singular Exp $"; 3 3 category="Singularities"; 4 4 … … 73 73 setring @WX; 74 74 ideal J=jacob(imap(@X,f)); 75 ~76 75 int i; 77 76 for(i=1;i<=n;i++) -
Singular/LIB/normal.lib
ra58f47 rc1986a 1 1 /////////////////////////////////////////////////////////////////////////////// 2 version="$Id: normal.lib,v 1.4 2 2005-04-29 13:23:25Singular Exp $";2 version="$Id: normal.lib,v 1.43 2005-05-06 09:41:59 Singular Exp $"; 3 3 category="Commutative Algebra"; 4 4 info=" … … 2194 2194 ////////////////////////////////////////////////////////////////////////////// 2195 2195 2196 proc closureFrac(list L) ;2196 proc closureFrac(list L) 2197 2197 "USAGE: closureFrac (L); L a list as in the result of primeClosure, L[n] 2198 2198 containing an additional poly f -
Singular/LIB/presolve.lib
ra58f47 rc1986a 1 1 //last change: 13.02.2001 (Eric Westenberger) 2 2 /////////////////////////////////////////////////////////////////////////////// 3 version="$Id: presolve.lib,v 1.2 3 2005-05-04 09:31:39Singular Exp $";3 version="$Id: presolve.lib,v 1.24 2005-05-06 09:42:00 Singular Exp $"; 4 4 category="Symbolic-numerical solving"; 5 5 info=" … … 22 22 sortvars(id[n1,p1..]); sort vars w.r.t. complexity in id [different blocks] 23 23 valvars(id[..]); valuation of vars w.r.t. to their complexity in id 24 idealsSimplify(id); ideal I = eliminate(Id,m) m is a product of variables25 which are only linearly involved in the generators of id26 24 idealSplit(id,tF,fS); a list of ideals such that their intersection 27 25 has the same radical as id -
Singular/LIB/primitiv.lib
ra58f47 rc1986a 3 3 // This library is for Singular 1.2 or newer 4 4 5 version="$Id: primitiv.lib,v 1.2 0 2005-04-22 16:04:46Singular Exp $";5 version="$Id: primitiv.lib,v 1.21 2005-05-06 09:42:00 Singular Exp $"; 6 6 category="Commutative Algebra"; 7 7 info=" … … 259 259 The active ring must allow an algebraic extension (e.g., it cannot 260 260 be a transcendent ring extension of Q or Z/p). 261 RETURN: ring; @ 261 RETURN: ring; @* 262 262 if called with a nonempty second parameter L, then in the output 263 263 ring there is defined a list erg ( =L mapped to the new ring); -
Singular/LIB/rinvar.lib
ra58f47 rc1986a 1 1 // Last change 10.12.2000 (TB) 2 2 /////////////////////////////////////////////////////////////////////////////// 3 version="$Id: rinvar.lib,v 1.1 1 2005-04-29 08:55:50Singular Exp $";3 version="$Id: rinvar.lib,v 1.12 2005-05-06 09:42:01 Singular Exp $"; 4 4 category="Invariant theory"; 5 5 info=" … … 28 28 ReynoldsOperator(G, Gaction); Reynolds operator of the group G 29 29 SimplifyIdeal(I[,m,s]); simplify the ideal I (try to reduce variables) 30 TransferIdeal(R,name,nA); transfer the ideal 'name' from R to basering31 30 32 31 SEE ALSO: qhmoduli_lib, zeroset_lib … … 654 653 attrib(groupid, "isSB", 1); 655 654 ideal action = actionid; 656 // ideal invarsGens = TransferIdeal(RIRR, "invarsGens", newA);657 // export(invarsGens);658 // lossen: ersetzt durch659 655 setring RIRR; 660 656 string parName, minPoly; … … 962 958 963 959 def RORR = ZeroSet(G1, primaryDec); 964 // setring RORR;965 // id = TransferIdeal(ROBR, "Grp", newA); // defined in ZeroSet ...966 // ideal actionid = TransferIdeal(ROBR, "Gaction", newA);967 // lossen: ersetzt durch968 960 setring ROBR; 969 961 string parName, minPoly; -
Singular/LIB/spcurve.lib
ra58f47 rc1986a 1 1 // (anne, last modified 31.5.99) 2 2 ///////////////////////////////////////////////////////////////////////////// 3 version="$Id: spcurve.lib,v 1.1 8 2005-04-26 17:19:41 Singular Exp $";3 version="$Id: spcurve.lib,v 1.19 2005-05-06 09:42:01 Singular Exp $"; 4 4 category="Singularities"; 5 5 info=" … … 510 510 a is an integer vector giving the weights of the variables 511 511 RETURN: integer, max(a-weighted order(N_ij) - W_ij | all entries ij) @* 512 string "ERROR" if sizes do not match 513 EXAMPLE: example relweight; shows an example" 512 string \"ERROR\" if sizes do not match 513 EXAMPLE: example relweight; shows an example 514 " 514 515 { 515 516 int p = printlevel-voice+3; // p=printlevel+1 (default: p=1) -
Singular/LIB/urrcount.lib
ra58f47 rc1986a 1 // $Id: urrcount.lib,v 1. 3 2005-05-02 13:11:56Singular Exp $1 // $Id: urrcount.lib,v 1.4 2005-05-06 09:42:01 Singular Exp $ 2 2 // E. Tobis 12.Nov.2004, April 2004 3 3 // last change 1. May 2005 (G.-M. Greuel) … … 574 574 sequence begininng with p, p' and goes on with minus the remainder 575 575 of the two previous polynomials, until the remainder is zero. 576 See: Basu, Pollack, Roy, "Algorithms in Real Algebraic Geometry",576 See: Basu, Pollack, Roy, Algorithms in Real Algebraic Geometry, 577 577 Springer, 2003. 578 578 SEE ALSO: sturm,sturmhaseq … … 737 737 related to the Sturm sequence, but behaves better with respect to 738 738 the size of the coefficients. It is defined via subresultants. 739 See: Basu, Pollack, Roy, "Algorithms in Real Algebraic Geometry",739 See: Basu, Pollack, Roy, Algorithms in Real Algebraic Geometry, 740 740 Springer, 2003. 741 741 SEE ALSO: sturm,sturmseq,sturmha -
Singular/LIB/zeroset.lib
ra58f47 rc1986a 1 1 // Last change 12.02.2001 (Eric Westenberger) 2 2 /////////////////////////////////////////////////////////////////////////////// 3 version="$Id: zeroset.lib,v 1.1 1 2005-04-25 10:13:07Singular Exp $";3 version="$Id: zeroset.lib,v 1.12 2005-05-06 09:42:02 Singular Exp $"; 4 4 category="Symbolic-numerical solving"; 5 5 info=" … … 622 622 EXAMPLE: example EGCD; shows an example 623 623 " 624 { 624 625 // might be extended to return s1, s2 s.t. f*s1 + g*s2 = gcd 625 {626 626 int i = 1; 627 627 poly r1, r2, r; … … 812 812 EXAMPLE: example Factor; shows an example 813 813 " 814 { 814 815 // extend this by a squarefree factorization !! 815 816 // multiplicities are not valid !! 816 {817 817 int i, s; 818 818 list normList, factorList, quo_rem;
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