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Laplace's formula: an approach by nonstandard analysis

2020/01/25 by Ryushi Ozaki, Ozaki, Ryushi
Mathematics · #FOS: Mathematics #General Mathematics (math.GM) #History and Theory of Mathematics #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.2001.09324

openalex publication_date 2020/01/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using nonstandard analysis (NSA), the proof of the Laplace's formula is given. The usage of NSA reduces the intricacy of taking limit, and the crude line of the proof would be clearly seen, compared to the done with the rigorous classical calculus. We use very elementary tools of NSA.

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