SturmCount(f,a,b)
SturmCount(f)
This computes the difference in variation of the Sturm sequence of f on the interval $(a,b]$. If a and b are not specified, the interval will be taken from $-\infty$ to $\infty$. If the coefficients of f are inexact, then the computations may be unreliable.
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In the above example, multiplicity is not counted. To include it, make the multiplicity option true.
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If a is an InfiniteNumber, then the lower bound will be $-\infty$, and if b is an InfiniteNumber, then the upper bound is $\infty$.
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The object SturmCount is a method function with options.