PolSturmI(P, X, Y) = Number of real roots in P in interval (X, Y)

PolSturmI(P, X, Y) = Number of real roots in P in interval (X, Y):

Same as PolSturm(P), but only checks for roots between X and Y.
P is a polynomial with real coefficients and must be square free for the function to work. Roots at X or Y may or may not be counted. An alarm is given if P is not real, P is not square free, or X and Y are not real scalars.

See: Sturm sequences in an interval -- From The Mathematical Atlas

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