Zobrazeno 1 - 10
of 2 649
pro vyhledávání: '"Ramirez, José A."'
We study a new class of polyominoes, called $p$-Fibonacci polyominoes, defined using $p$-Fibonacci words. We enumerate these polyominoes by applying generating functions to capture geometric parameters such as area, semi-perimeter, and the number of
Externí odkaz:
http://arxiv.org/abs/2411.17812
Autor:
Baril, Jean-Luc, Ramírez, José L.
We examine the distribution and popularity of different parameters (such as the number of descents, runs, valleys, peaks, right-to-left minima, and more) on the sets of increasing and flattened permutations. For each parameter, we provide an exponent
Externí odkaz:
http://arxiv.org/abs/2410.15434
In this paper we solve some differential equations in the $D_h$ derivative in Ward's sense. We use a special metric in the formal power series ring $\K[[x]]$. The solutions of that equations are giving in terms of fixed points for certain contractive
Externí odkaz:
http://arxiv.org/abs/2408.12552
We present a Finite Volume formulation for determining discontinuous distributions of magnetic fields within non-orthogonal and non-uniform meshes. The numerical approach is based on the discretization of the vector potential variant of the equations
Externí odkaz:
http://arxiv.org/abs/2408.06280
Autor:
Bacon, Michael R., Cook, Charles K., Flórez, Rigoberto, Higuita, Robinson A., Luca, Florian, Ramírez, José L.
Inspired by the ancient spiral constructed by the greek philosopher Theodorus which is based on concatenated right triangles, we have created a spiral. In this spiral, called \emph{Fibonacci--Theodorus}, the sides of the triangles have lengths corres
Externí odkaz:
http://arxiv.org/abs/2407.07109
Autor:
Ramírez, José L., Villamizar, Diego
Publikováno v:
EPTCS 403, 2024, pp. 164-168
In this paper, we explore some generalizations of a counting problem related to tilings in grids of size 2xn, which was originally posed as a question on Mathematics Stack Exchange (Question 3972905). In particular, we consider this problem for the p
Externí odkaz:
http://arxiv.org/abs/2406.16415
In this work, we define flattened Catalan words as Catalan words whose runs of weak ascents have leading terms that appear in weakly increasing order. We provide generating functions, formulas, and asymptotic expressions for the number of flattened C
Externí odkaz:
http://arxiv.org/abs/2405.05357
We provide generating functions, formulas, and asymptotic expressions for the number of Catalan words based on the number of runs of ascents (descents), runs of weak ascents (descents), $\ell$-valleys, valleys, symmetric valleys, $\ell$-peaks, peaks,
Externí odkaz:
http://arxiv.org/abs/2404.05672
We study the enumeration of different classes of grand knight's paths in the plane. In particular, we focus on the subsets of zigzag knight's paths that are subject to constraints. These constraints include ending at $y$-coordinate 0, bounded by a ho
Externí odkaz:
http://arxiv.org/abs/2402.04851
A word $w=w_1\cdots w_n$ over the set of positive integers is a Motzkin word whenever $w_1=\texttt{1}$, $1\leq w_k\leq w_{k-1}+1$, and $w_{k-1}\neq w_{k}$ for $k=2, \dots, n$. It can be associated to a $n$-column Motzkin polyomino whose $i$-th column
Externí odkaz:
http://arxiv.org/abs/2401.06228