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· 1998 · DOI 10.1007/978-3-7091-9459-1_6

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cs.SC 1

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2024 1

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CONDITIONAL 1

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On Minimal and Minimum Cylindrical Algebraic Decompositions

cs.SC · 2024-11-20 · conditional · novelty 8.0

For semi-algebraic sets in R^n, the coarsest adapted cylindrical algebraic decomposition always exists in dimensions 1 and 2, but fails to exist for some sets in dimension 3 and higher.

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  • On Minimal and Minimum Cylindrical Algebraic Decompositions cs.SC · 2024-11-20 · conditional · none · ref 1

    For semi-algebraic sets in R^n, the coarsest adapted cylindrical algebraic decomposition always exists in dimensions 1 and 2, but fails to exist for some sets in dimension 3 and higher.