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

Abstract

In this paper we introduce the notion of $\zeta$-crossbreeding in a set of $\zeta$-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 $\zeta$-kindred elements in class of real continuous functions. Dedicated to recalling of Gregory Mendel's pea-crossbreeding.