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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.
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