Top
Back: deg
Forward: delete
FastBack: Functions and system variables
FastForward: Control structures
Up: Functions
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

5.1.20 degree

Syntax:
degree ( ideal_expression )
degree ( module_expression )
Type:
string
Purpose:
computes the (Krull) dimension and the multiplicity of the ideal, resp. module, generated by the leading monomials of the input and prints it. This is equal to the dimension and multiplicity of the ideal, resp. module, if the input is a standard basis with respect to a degree ordering.
Example:
 
ring r3=32003,(x,y,z),ds;
int a,b,c,t=11,10,3,1;
poly f=x^a+y^b+z^(3*c)+x^(c+2)*y^(c-1)+x^(c-1)*y^(c-1)*z3
  +x^(c-2)*y^c*(y2+t*x)^2;
ideal i=jacob(f);
ideal i0=std(i);
degree(i0);
==> // dimension (local)   = 0
==> // multiplicity = 314
See dim; ideal; mult; std; vdim.

Top Back: deg Forward: delete FastBack: Functions and system variables FastForward: Control structures Up: Functions Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 4.4.0, 2024, generated by texi2html.