Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Eremin Gennady"'
Autor:
Eremin, Gennady
We partition a series of natural numbers into infinite number sequences. We consider two partitioning options: (a) a forest of unary trees with recurrence formula of Mersenne numbers, and (b) a set of arithmetic progressions with difference $2^k$. Ev
Externí odkaz:
http://arxiv.org/abs/2405.16143
Publikováno v:
E3S Web of Conferences, Vol 254, p 01044 (2021)
In the garden plum assortment of Russia, until recently there was an almost complete absence of varieties with fruits suitable for making high-quality prunes, which prevented expansion of the production of this valuable product. This necessitated the
Externí odkaz:
https://doaj.org/article/14ad1de029894b5b9356d00000843300
Publikováno v:
BIO Web of Conferences, Vol 38, p 00029 (2021)
The article presents the results of research aimed at studying varieties, forms and hybrids of black apricot – Prunus dasycarpa Pers., preserved in the gene pool of the Krymsk EBS, VIR Branch, and identifying the feasibility of including genotypes
Externí odkaz:
https://doaj.org/article/95a0377a41fa4200bc81c1b5e5d496a8
Autor:
Eremin, Gennady
Dyck paths (also balanced brackets and Dyck words) are among the most heavily studied Catalan families. This paper is a continuation of [2, 3, 4]. In the paper we are dealing with the numbering of Dyck paths, with the resulting numbers, the terms of
Externí odkaz:
http://arxiv.org/abs/2306.10318
Autor:
Eremin, Gennady
Dyck paths (also balanced brackets and Dyck words) are among the most heavily studied Catalan families. This paper is a continuation of [2, 3]. In the paper we enumerate the terms of the OEIS A036991, Dyck numbers, and construct a concomitant bijecti
Externí odkaz:
http://arxiv.org/abs/2302.02765
Autor:
Eremin, Gennady
Dyck paths are among the most heavily studied Catalan families. This paper is a continuation of [2]. In the paper we are dealing with the numbering of Dyck paths, the terms of the OEIS sequence A036991 or Dyck numbers. We consider triplets of terms o
Externí odkaz:
http://arxiv.org/abs/2211.01135
Autor:
Eremin, Gennady
Dyck paths are among the most heavily studied Catalan families. In the paper we are dealing with the minimal numbering of Dyck paths, with the resulting numbers, the terms of the OEIS sequence A036991, which we have called Dyck numbers. We consider t
Externí odkaz:
http://arxiv.org/abs/2210.00744
Autor:
Eremin, Gennady
Dyck paths are among the most heavily studied Catalan families. We work with peaks and valleys to uniquely decompose Dyck paths into the simplest objects - prime fragments with a single peak. Each Dyck path is uniquely characterized by a set of peaks
Externí odkaz:
http://arxiv.org/abs/2111.13060
Autor:
Eremin, Gennady
In this paper, we consider nine OEIS sequences, the analysis of which allows us to find a connection between Motzkin numbers and Fibonacci numbers. In each Motzkin number, we distinguish an even component and an odd component, the difference of these
Externí odkaz:
http://arxiv.org/abs/2108.10676
Autor:
Eremin, Gennady
In this paper, we perform an arithmetization of well-formed parenthesis strings with zeros (Motzkin words) and of corresponding Motzkin paths. The transformations used are reminiscent of G\"odel numbering for mathematical objects of some formal langu
Externí odkaz:
http://arxiv.org/abs/2012.12675