Polynomials non-negative on strips and half-strips

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Polynomials non-negative on strips and half-strips

An expression f = σ+ τ(x− x) is an immediate witness to the positivity condition on f . In general, one wants to characterize polynomials f which are positive, or nonnegative, on a semialgebraic set K ⊆ R in terms of sums of squares and the polynomials used to define K. Representation theorems of this type have a long and illustrious history, going back at least to Hilbert. There has been much ...

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A tetrahedral strip is a tetrahedron-tetrahedron truss where any tetrahedron has two neighbors except those in the extremes which have only one. Unless any of the tetrahedra degenerate, such a truss is rigid. In this case, if the distance between the strip endpoints is imposed, any rod length in the truss is constrained by all the others to attain discrete values. In this paper, it is shown how...

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2012

ISSN: 0022-4049

DOI: 10.1016/j.jpaa.2012.02.002