Ordered differential fields |
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| Authors: | Vladislay Kulchinovsky |
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| Affiliation: | Irkutsk Computing Center , P.O.Box 1233, Irkutsk, 664033, Russia E-mail: kulchin@icc.ru |
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| Abstract: | The paper is devoted to the study of a new algebraic structure - an oredred differential field. The structure is a differential field and an ordered field, the order being connected with a derivation. This paper is the first one in a series devoted to new algebraic methods in analysis. The essence of the methods is to exploit the connection between a linear order and a derivation for the study of function sets and operators on these sets. |
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