Difference between revisions of "CoCoA:Discriminant"
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Latest revision as of 10:02, 24 October 2007
Discriminant
the discriminant of a polynomial
Description
This function computes the discriminant of a polynomial F (with
respect to a given indeterminate X, if the polynomial is multivariate).
If the polynomial is univariate then there is no need to specify which indeterminate to use.
The discriminant is defined to be the resultant of F and its derivative
with respect to X.
Example
Use R ::= Q[x,y]; Discriminant(x^2+3y^2, x); 12y^2 ------------------------------- Discriminant(x^2+3y^2, y); 36x^2 ------------------------------- Discriminant((x+1)^20+2); 54975581388800000000000000000000 -------------------------------
Syntax
Discriminant(F:POLY):POLY Discriminant(F:POLY, X:INDET):POLY
<type>polynomial</type>