Hyperreal Delta Functions as a New General Tool for Modeling Systems with Infinitely High Densities

نویسندگان

چکیده

This paper introduces the expanded real numbers as an ordered subring of hyperreal number field that does not contain any infinitesimals, and defines set all integrable functions from to numbers. allows identify Dirac delta with a special hyperreal-valued function variable: thus defined is general tool, applicable for mathematical modeling physical systems in which infinitely high densities occur.

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ژورنال

عنوان ژورنال: Axioms

سال: 2021

ISSN: ['2075-1680']

DOI: https://doi.org/10.3390/axioms10040244