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http://hdl.handle.net/1942/721
Title: | Expressing the box cone radius in the relational calculus with real polynomial constraints | Authors: | GEERTS, Floris | Issue Date: | 2003 | Publisher: | Springer | Source: | Discrete and Computational Geometry, 30(4). p. 607-622 | Abstract: | We show that there is a query expressible in first-order logic over the reals that returns, on any given semi-algebraic set A, for every point, a radius around which A is conical in every small enough box. We obtain this result by combining results from differential topology and real algebraic geometry, with recent algorithmic results by Rannou. | Document URI: | http://hdl.handle.net/1942/721 | ISSN: | 0179-5376 | e-ISSN: | 1432-0444 | DOI: | 10.1007/s00454-003-0770-2 | ISI #: | 000186370900006 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2004 |
Appears in Collections: | Research publications |
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expressing.pdf | 275.23 kB | Adobe PDF | View/Open |
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