Changeset 1a3911 in git for Singular/LIB/teachstd.lib


Ignore:
Timestamp:
Apr 6, 2009, 2:39:02 PM (15 years ago)
Author:
Frank Seelisch <seelisch@…>
Branches:
(u'spielwiese', 'fe61d9c35bf7c61f2b6cbf1b56e25e2f08d536cc')
Children:
08e081516771eec845058a046616a8c0d7e8325b
Parents:
7de8e4cf4e88e60e523f5ebb65a61c114ff3674a
Message:
removed some docu errors prior to release 3-1-0


git-svn-id: file:///usr/local/Singular/svn/trunk@11626 2c84dea3-7e68-4137-9b89-c4e89433aadc
File:
1 edited

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  • Singular/LIB/teachstd.lib

    r7de8e4 r1a3911  
    22//GMG, last modified 28.9.01
    33///////////////////////////////////////////////////////////////////////////////
    4 version="$Id: teachstd.lib,v 1.10 2009-02-12 13:57:00 motsak Exp $";
     4version="$Id: teachstd.lib,v 1.11 2009-04-06 12:39:02 seelisch Exp $";
    55category="Teaching";
    66info="
     
    7878{ "EXAMPLE:"; echo = 2;
    7979   ring s=0,(x,y,z),(c,dp);
    80    leadmonomial((y+z+x+xyz)**2);
    81    leadmonomial([(y+z+x+xyz)**2,xyz5]);
     80   leadmonomial((y+z+x+xyz)^2);
     81   leadmonomial([(y+z+x+xyz)^2,xyz5]);
    8282}
    8383///////////////////////////////////////////////////////////////////////////////
     
    226226proc minEcart(T,h)
    227227"USAGE:   minEcart(T,h); T ideal or module, h poly or vector
    228 RETURN:  element g from T such that leadmonom(g) divides leadmonom(h)
     228RETURN:  element g from T such that leadmonom(g) divides leadmonom(h)@*
    229229         ecart(g) is minimal with this property (if T != 0);
    230230         return 0 if T is 0 or h = 0
     
    413413RETURN:  1 if product criterion applies in the same module component,
    414414         2 if lead(f) and lead(g) involve different components, 0 else
    415 NOTE:    if product criterion applies we can delete (f,g) from pairset
     415NOTE:    if product criterion applies we can delete (f,g) from pairset.
    416416         This procedure returns 0 if o is given and is a positive integer, or
    417417         you may set the attribute \"default_arg\" for prodcrit to 1.
     
    500500RETURN:  list L,
    501501         L[1] = the pairset of G as list (not containing pairs for
    502          which the product or the chain criterion applies)
     502         which the product or the chain criterion applies),
    503503         L[2] = intvec v, v[1]= # product criterion, v[2]= # chain criterion
    504504EXAMPLE: example pairset; shows an example
     
    572572///////////////////////////////////////////////////////////////////////////////
    573573proc updatePairs(P,S,h)
    574 "USAGE:   updatePairs(P,S,h); P list, S ideal or module, h poly or vector
     574"USAGE:   updatePairs(P,S,h); P list, S ideal or module, h poly or vector@*
    575575         P a list of pairs of polys or vectors (obtained from pairset)
    576576RETURN:  list Q,
    577577         Q[1] = the pairset P enlarged  by all pairs (f,h), f from S,
    578          without pairs for which the product or the chain criterion applies
     578         without pairs for which the product or the chain criterion applies@*
    579579         Q[2] = intvec v, v[1]= # product criterion, v[2]= # chain criterion
    580580EXAMPLE: example updatePairs; shows an example
     
    745745///////////////////////////////////////////////////////////////////////////////
    746746proc localstd (id)
    747 "USAGE:   localstd (id); id = ideal
     747"USAGE:   localstd(id); id = ideal
    748748RETURN:  A standard basis for a local degree ordering, using Lazard's method.
    749749NOTE:    The procedure homogenizes id w.r.t. a new 1st variable local@t,
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