Changeset 26a4bb in git

Timestamp:

Mar 20, 2002, 3:03:00 PM (22 years ago)

Author:

Mathias Schulze <mschulze@…>

Branches:

(u'spielwiese', 'fe61d9c35bf7c61f2b6cbf1b56e25e2f08d536cc')

Children:

91fc5ef6793434c854736648be840a3d14e17c1b

Parents:

69b4b7a15e2f228b9e5ff38623a872696f30a94f

Message:

*mschulze: changed doc


git-svn-id: file:///usr/local/Singular/svn/trunk@6021 2c84dea3-7e68-4137-9b89-c4e89433aadc

Location:

Singular/LIB

Files:

• gaussman.lib (modified) (8 diffs)
• linalg.lib (modified) (3 diffs)

Singular/LIB/gaussman.lib

@@ -1 +1 @@
 ///////////////////////////////////////////////////////////////////////////////
-version="$Id: gaussman.lib,v 1.77 2002-03-08 10:30:56 mschulze Exp $";
+version="$Id: gaussman.lib,v 1.78 2002-03-20 14:03:00 mschulze Exp $";
 category="Singularities";
 
@@ -12 +12 @@
 
 PROCEDURES:
- gmsring(t,s);              Gauss-Manin connection of t with variable s
- gmsnf(p,K);                Gauss-Manin connection normal form of p
- gmscoeffs(p,K);            Gauss-Manin connection basis representation of p
+ gmsring(t,s);              Gauss-Manin system of t with variable s
+ gmsnf(p,K);                Gauss-Manin system normal form of p
+ gmscoeffs(p,K);            Gauss-Manin system basis representation of p
  monodromy(t);              Jordan data of monodromy of t
  spectrum(t);               singularity spectrum of t
@@ -113 +113 @@
 RETURN:
 @format
-ring G;  Gauss-Manin connection of t with variable s
+ring G;  Gauss-Manin system of t with variable s
   poly gmspoly=t;
   ideal gmsjacob;  Jacobian ideal of t
@@ -221 +221 @@
   ideal nf[2];  p=nf[1]+nf[2]
 @end format
-NOTE:     by setting p=nf[2] the computation can be continued
+NOTE:     the computation can be continued by setting p=nf[2]
 KEYWORDS: singularities; Gauss-Manin connection; Brieskorn lattice
 EXAMPLE:  example gmsnf; shows examples
@@ -301 +301 @@
   ideal l[2];  p=matrix(gmsbasis)*l[1]+l[2]
 @end format
-NOTE:     by setting p=l[2] the computation can be continued
+NOTE:     the computation can be continued by setting p=l[2]
 KEYWORDS: singularities; Gauss-Manin connection; Brieskorn lattice
 EXAMPLE:  example gmscoeffs; shows examples
@@ -564 +564 @@
 RETURN:
 @format
-list l=jordan(M);  Jordan data of monodromy matrix exp(-2*pi*i*M)
+list l;  Jordan data jordan(M) of monodromy matrix exp(-2*pi*i*M)
   ideal l[1]; 
     number l[1][i];  eigenvalue of i-th Jordan block of M
@@ -1068 +1068 @@
 ASSUME:   characteristic 0; local degree ordering;
           isolated critical point 0 of t
-RETURN:   list A;  t-matrix A[1]+s*A[2] on H''
+RETURN:   list A;  matrix A[1]+s*A[2] of t on H''
 KEYWORDS: singularities; Gauss-Manin connection; Brieskorn lattice;
           mixed Hodge structure; opposite Hodge filtration; V-filtration
@@ -1261 +1261 @@
 list ev;  V-filtration on Jacobian algebra
   ideal ev[1];
-    number ev[1][i];  V-filtration index of i-th spectral pair
+    number ev[1][i];  i-th V-filtration index
   intvec ev[2];
-    int ev[2][i];  multiplicity of i-th spectral pair
+    int ev[2][i];  i-th multiplicity
   list ev[3];
     module ev[3][i];  vector space of i-th graded part in terms of ev[4]

Singular/LIB/linalg.lib

@@ -1 +1 @@
 //GMG last modified: 04/25/2000
 //////////////////////////////////////////////////////////////////////////////
-version="$Id: linalg.lib,v 1.28 2002-03-08 10:30:56 mschulze Exp $";
+version="$Id: linalg.lib,v 1.29 2002-03-20 14:03:00 mschulze Exp $";
 category="Linear Algebra";
 info="
@@ -1591 +1591 @@
 @format
 list l:
-  module l[1];  inverse(l[1])*M*l[1] Jordan normal form
+  module l[1];  Jordan normal form inverse(l[1])*M*l[1]
   intvec l[2]; 
     int l[2][i];  weight filtration index of l[1][i]
@@ -1690 +1690 @@
 RETURN:
 @format
-matrix J;  list(e,s,m)==jordan(J)
+matrix J;  Jordan matrix with list(e,s,m)==jordan(J)
 @end format
 EXAMPLE: example jordanmatrix; shows examples