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On What Is the Almost-Near Principle

Hassan Boualem and Robert Brouzet
The American Mathematical Monthly
Vol. 119, No. 5 (May 2012), pp. 381-397
DOI: 10.4169/amer.math.monthly.119.05.381
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Page Count: 17
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On What Is the Almost-Near Principle
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Abstract We introduce a class of functions satisfying what we call the Almost-Near property, or briefly the (AN) property. The motivation of this investigation is provided by the phenomenon “almost implies near” which appears in many various situations. We study some elementary properties of these functions and develop several examples (such as polynomial functions, complex exponential and covering maps).

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