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Mixed trigonometric-polynomials frequently occur in applications in physics,numerical analysis and engineering, the algorithm has been already proposed todetermine its sign on (0,{pi}/2]. This paper proposes a procedure to extend theinterval to (0, +{\inf}). Such generalization is by no means trivial, for theprocess depends on boundedness of roots and square-free factorization of mixedtrigonometric-polynomials.

Automated Proof of Mixed Trigonometric-polynomial Inequalities in the Unbounded Case