Spirin E.K, Malchik A.G
Formed in the previous works of one of the authors of the concept of a polynomial nature of periodicity used in the comparison of the mathematical properties of the dyads (cycles) of chemical elements in the interpretation of Ahumova, Kapustinskiy (zero period) and without it. Considered as complete dyad and their constituent layers and nepotism or clan. The difference between the two is that the former are described by a polynomial of degree , the latter obey the equation of a cubic parabola. A notable feature of the principle of cyclic representations of the natural numbers of elements is the fact that in this case eliminated the phenomenon of even-odd, that is, the influence of secondary periodicity. A comparative discussion of the effectiveness of the approaches to the formation of dyads and options for their mathematical representation. It is shown that the properties of the aggregate of the dyads ( cycles ) not less numerous than the sum of their constituent properties of smaller sets, such as layers, rays , diagonals and other sequences possible in the master set – the periodic table of elements. In addition, this proof of concept of the close connection of the law D.I. Mendeleev and the theory of numbers.
Спирин Э.К, Мальчик А.Г ДИАДЫ ХИМИЧЕСКИХ ЭЛЕМЕНТОВ. МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ // Научное обозрение. Химические науки. 2020. № 1.
С. 32-32;