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Algorithms in Real Algebraic Geometry
Algebraically Closed Fields.- Real Closed Fields.- Semi-Algebraic Sets.- Algebra.- Decomposition of Semi-Algebraic Sets.- Elements of Topology.- Quantitative Semi-algebraic Geometry.- Complexity of Basic Algorithms.- Cauchy Index and Applications.- Real Roots.- Cylindrical Decomposition Algorithm.- Polynomial System Solving.- Existential Theory of the ...
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Real Algebraic Geometry with a View Toward Hyperbolic Programming and Free Probability
Oberwolfach Reports, 2021Invariants of topological spaces of dimension three play a major role in many areas, in particular . . . Introduction by the Organizers The workshop Invariants of topological spaces of dimension three, organised by Max Muster (München) and Bill E. Xample
D. Henrion +3 more
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Formal verification of semi-algebraic sets and real analytic functions
Certified Programs and Proofs, 2021Semi-algebraic sets and real analytic functions are fundamental concepts in Real Algebraic Geometry and Real Analysis, respectively. These concepts appear in the study of Differential Equations, where the real analytic solution to a differential equation
J. Slagel, Lauren M. White, Aaron Dutle
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Real Algebraic Geometry and Optimization
Graduate Studies in MathematicsThorsten Theobald
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A Course in Real Algebraic Geometry
Graduate Texts in MathematicsClaus Scheiderer
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Foundations of Computational Mathematics, 2013
We give necessary and sufficient conditions in terms of sign vectors for the injectivity of families of polynomial maps with arbitrary real exponents defined on the positive orthant.
S. Müller +5 more
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We give necessary and sufficient conditions in terms of sign vectors for the injectivity of families of polynomial maps with arbitrary real exponents defined on the positive orthant.
S. Müller +5 more
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Computational Real Algebraic Geometry
Handbook of Discrete and Computational Geometry, 2nd Ed., 2004B. Mishra
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New Directions in Real Algebraic Geometry
Oberwolfach Reports, 2023This workshop explored the forefront of connections of real algebraic geometry with convex analysis, combinatorics, and computational complexity. Important aspects have been promising interactions with the fields of quantum information theory, discrete geometry, complex and random algebraic geometry.
Saugata Basu +3 more
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