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Volumes of Semialgebraic Sets

  • Paul Breiding,
  • Kathlén Kohn,
  • Bernd Sturmfels

摘要

In this chapter, we study the problem of computing the volume of a semialgebraic subset 𝑆 of \(\mathbb{R}^{n}\) . Being semialgebraic means that 𝑆 is described by a finite Boolean combination of polynomial inequalities.