Real Algebraic and Analytic Geometry

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47. Daniel Richardson, Ahmed El-Sonbaty:
Counterexamples to the Uniformity Conjecture.

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Submission: 2004, March 12.

Counterexamples are given to the uniformity conjecture. This involves constructing short exp-log expressions which define extremely small non zero numbers. This presents a problem for exact computation with numbers which may occur in scientific computing.

Mathematics Subject Classification (2000): 11J68.

Keywords and Phrases: exact computation, uniformity conjecture, witness conjecture, zero recognition, algebraic approximation.

Full text, 12p.: dvi 37k, ps.gz 115k, pdf 169k.

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