Changeset 909b29 in git
- Timestamp:
- Dec 21, 2017, 8:01:09 PM (5 years ago)
- Branches:
- (u'spielwiese', '91fdef05f09f54b8d58d92a472e9c4a43aa4656f')
- Children:
- 86d5ade6a65b37e57178a78ac1ba4a5b1a5d5e10
- Parents:
- 5780519ad3509471847f44f46a8a6730fed4bba6
- Location:
- Singular/LIB
- Files:
-
- 2 edited
Legend:
- Unmodified
- Added
- Removed
-
Singular/LIB/fpadim.lib
r578051 r909b29 67 67 PROCEDURES: 68 68 69 lpMis2Dim(M); computes the K-dimension of the monomial factor algebra 70 lpKDim(G[,d,n]); computes the K-dimension of A/<G> 71 lpDimCheck(G); checks if the K-dimension of A/<G> is infinite 72 lpMis2Base(M); computes a K-basis of the factor algebra 73 lpHilbert(G[,d,n]); computes the Hilbert series of A/<G> in lp format 74 lpDHilbert(G[,d,n]); computes the K-dimension and Hilbert series of A/<G> 75 lpDHilbertSickle(G[,d,n]); computes mistletoes, K-dimension and Hilbert series 76 69 77 ivDHilbert(L,n[,d]); computes the K-dimension and the Hilbert series 70 78 ivDHilbertSickle(L,n[,d]); computes mistletoes, K-dimension and Hilbert series … … 78 86 ivSickleHil(L,n[,d]); computes the mistletoes and Hilbert series of A/<L> 79 87 ivSickleDim(L,n[,d]); computes the mistletoes and the K-dimension of A/<L> 80 lpDHilbert(G[,d,n]); computes the K-dimension and Hilbert series of A/<G>81 lpDHilbertSickle(G[,d,n]); computes mistletoes, K-dimension and Hilbert series82 lpHilbert(G[,d,n]); computes the Hilbert series of A/<G> in lp format83 lpDimCheck(G); checks if the K-dimension of A/<G> is infinite84 lpKDim(G[,d,n]); computes the K-dimension of A/<G> in lp format85 lpMis2Base(M); computes a K-basis of the factor algebra86 lpMis2Dim(M); computes the K-dimension of the factor algebra87 88 lpOrdMisLex(M); orders an ideal of lp-monomials lexicographically 88 89 lpSickle(G[,d,n]); computes the mistletoes of A/<G> in lp format … … 2608 2609 Here are some examples one may try. Just copy them into your console. 2609 2610 These are relations for braid groups, up to degree d: 2610 2611 2611 2612 2612 LIB "fpadim.lib"; … … 2825 2825 2826 2826 2827 /* actual work: 2828 // downup algebra A 2827 /* more tests : downup algebra A 2829 2828 LIB "fpadim.lib"; 2830 2829 ring r = (0,a,b,g),(x,y),Dp; -
Singular/LIB/freegb.lib
r578051 r909b29 8 8 9 9 OVERVIEW: For the theory, see chapter 'Letterplace' in the @sc{Singular} Manual 10 11 Support: Joint projects LE 2697/2-1 and KR 1907/3-1 of the Priority Programme SPP 1489: 12 'Algorithmische und Experimentelle Methoden in Algebra, Geometrie und Zahlentheorie' 13 of the German DFG 14 and Project II.6 of the transregional collaborative research centre 15 SFB-TRR 195 'Symbolic Tools in Mathematics and their Application' of the German DFG 10 16 11 17 PROCEDURES: … … 963 969 RETURN: ring 964 970 PURPOSE: creates a ring with the ordering, used in letterplace computations 965 NOTE: if h is given and nonzero, the pure homogeneous letterplace block 966 @* ordering will be used. 971 NOTE: h = 0 (default) : Dp ordering will be used 972 h = 1 : weights 1 used for all the variables, a tie breaker is a list of block 973 of original ring 974 h = 2 : the pure homogeneous letterplace block ordering (experimental) will be used. 967 975 EXAMPLE: example makeLetterplaceRing; shows examples 968 976 " … … 3239 3247 "USAGE: lpNF(p,G); f letterplace polynomial, ideal I 3240 3248 RETURN: poly 3241 PURPOSE: computation of the normal form of p with respect to G3249 PURPOSE: computation of the normal form of p with respect to G 3242 3250 ASSUME: p is a Letterplace polynomial, G is a set Letterplace polynomials, 3243 3251 being a Letterplace Groebner basis (no check for this will be done) … … 3724 3732 } 3725 3733 3726 /* THE FOLLOWING ISUNDER DEVELOPMENT3734 /* THE FOLLOWING ARE UNDER DEVELOPMENT 3727 3735 // copied following from freegb_wrkcp.lib by Karim Abou Zeid on 07.04.2017: 3728 3736 // makeLetterplaceRingElim(int d)
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