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

5.1.59 jacob

Syntax:
jacob ( poly_expression )
jacob ( ideal_expression )
jacob ( module_expression )
Type:
ideal, if the input is a polynomial
matrix, if the input is an ideal
module, if the input is a module
Purpose:
computes the Jacobi ideal, resp. Jacobi matrix, generated by all partial derivatives of the input.
Note:
In a ring with n variables, jacob of a module or an ideal (considered as matrix with a single a row) or a polynomial (considered as a matrix with a single entry) is the matrix consisting of horizontally concatenated blocks (in this order): diff(MT,var(1)), ... , diff(MT,var(n)), where MT is the transposed input argument considered as a matrix.
Example:
 
See diff; ideal; module; nvars.

Top Back: intersect Forward: janet 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 3-1-6, Dec 2012, generated by texi2html.