sylvesterCount(f,g,a,b)
sylvesterCount(f,g)
This computes the difference between the number of real roots of f in the interval $(a,b]$ where g is positive, and the number of real roots of f in the interval $[a,b)$ where g is negative. This is computed by taking the difference in variations of the reduced Sylvester sequence of f and g.
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The object sylvesterCount is a method function with options.
The source of this document is in RealRoots.m2:801:0.