Real functions as traces of infinite polynomials (Q1117050)
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scientific article; zbMATH DE number 4089834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Real functions as traces of infinite polynomials |
scientific article; zbMATH DE number 4089834 |
Statements
Real functions as traces of infinite polynomials (English)
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1989
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Real functions, not necessarily everywhere defined, are considered as observable traces of nonstandard polynomials with an infinite number of (possibly infinitesimal or infinite) coefficients. A necessary and sufficient condition, characterizing all functions obtainable that way, is established.
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hyperreal polynomials
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microcontinuity
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Real functions
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observable traces of nonstandard polynomials
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