Titlebook: Certificates of Positivity for Real Polynomials; Theory, Practice, an Victoria Powers Book 2021 The Editor(s) (if applicable) and The Autho

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The Dimension One Case,gher dimensional situation, in most cases certificates of positivity exist and there are many examples of saturated preorders.  We begin with the problem of finding certificates of positivity for closed intervals in ., which is well understood; here, certificates of positivity always exist. However,

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Positivity on Polytopes,ties, see Sect. .. Polytopes are a particularly nice situation, since certificates of positivity exist in almost all cases, and there are several different types of representations. Any polytope can be written as a basic closed semialgebraic set ., where . with each . linear such that no three of th

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