Jacob's ladders, crossbreeding in the set of ζ-factorization formulas and selection of families of ζ-kindred real continuous functions

2017/10/12 by Jan Moser, Moser, Jan
Mathematics · #Advanced Topology and Set Theory #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1710.04428

arxiv created 2017/10/12 · openalex publication_date 2017/10/12 · arxiv updated 2017/10/13 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

In this paper we introduce the notion of ζ-crossbreeding in a set of ζ-factorization formulas and also the notion of complete hybrid formula as the final result of that crossbreeding. The last formula is used as a criterion for selection of families of ζ-kindred elements in class of real continuous functions. Dedicated to recalling of Gregory Mendel's pea-crossbreeding.

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