Nash function: Difference between revisions

Revision as of 14:53, 13 October 2007

Revision as of 22:42, 8 November 2007

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In [[real algebraic geometry]], a '''Nash function''' on an open semialgebraic

subset ''U'' of '''R'''^''n'' is an [[analytic function]]

''f'': ''U'' -> '''R''' satisfying a non trivial polynomial equation ''P''(''x'',''f''(''x'')) = 0

for all ''x'' in ''U''. (A [[semialgebraic set|semialgebraic subset]] of '''R'''^''n'' is a subset