Back and forth between continuous and discrete for the working computer scientist |
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Authors: | Jean-Pierre Reveillès Denis Richard |
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Affiliation: | (1) LLAICI, Université d'Auvergne, IUT, BP 86, 63172 Aubière Cedex, France |
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Abstract: | This paper gives a perfect, ideal, discretization of continuous notions. This is a very convenient frame to treat continuous problems or theories with the help of a computer. This is illustrated by the conversion of algorithms using real numbers into algorithms using integers only and the founding of discrete geometry. |
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