Results 1 to 10 of about 4,166,966 (302)

Internal clocks induced by generating functions [PDF]

open access: yesHeliyon, 2018
We introduce a nonlinear model that defines a complex system possessing diverse mediums shaped by generating functions. Our model is implemented on systems with internal clocks.
Yehuda Roth
doaj   +2 more sources

On Andrews’ Partitions with Parts Separated by Parity

open access: yesMathematics, 2021
In this paper, we present a generalization of one of the theorems in Partitions with parts separated by parity introduced by George E. Andrews, and give its bijective proof.
Abdulaziz M. Alanazi, Darlison Nyirenda
doaj   +1 more source

A Spanning Union of Cycles in Thin Cylinder, Torus and Klein Bottle Grid Graphs

open access: yesMathematics, 2023
In this paper, we propose an algorithm for obtaining the common transfer digraph Dm* for enumeration of 2-factors in graphs from the title, all of which have m·n vertices (m,n∈N,m≥2).
Jelena Đokić   +2 more
doaj   +1 more source

Visual Functions Generating Conscious Seeing

open access: yesFrontiers in Psychology, 2020
Visual functions are reviewed that coincide with conscious as opposed to unconscious vision. Four stages of vision are identified, going from the fully invisible, to subjectively invisible, unattended, and clearly visible.
Victor A. F. Lamme
doaj   +1 more source

Mixed Powers of Generating Functions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2006
Given an integer $m \geq 1$, let $\| \cdot \|$ be a norm in $\mathbb{R}^{m+1}$ and let $\mathbb{S}_+^m$ denote the set of points $\mathbf{d}=(d_0,\ldots,d_m)$ in $\mathbb{R}^{m+1}$ with nonnegative coordinates and such that $\| \mathbf{d} \|=1$. Consider
Manuel Lladser
doaj   +1 more source

Generating functions and the satisfiability threshold [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2004
The 3-SAT problem consists in determining if a boolean formula with 3 literals per clause is satisfiable. When the ratio between the number of clauses and the number of variables increases, a threshold phenomenon is observed: the probability of ...
Vincent Puyhaubert
doaj   +3 more sources

Mersenne-Horadam identities using generating functions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2020
The main object of the present paper is to reveal connections between Mersenne numbers $M_n=2^n-1$ and generalized Fibonacci (i.e., Horadam) numbers $w_n$ defined by a second order linear recurrence $w_n=pw_{n-1}+qw_{n-2}$, $n\geq 2$, with $w_0=a$ and ...
R. Frontczak, T.P. Goy
doaj   +1 more source

Analytical properties of the Hurwitz–Lerch zeta function

open access: yesAdvances in Difference Equations, 2020
In the present paper, we aim to extend the Hurwitz–Lerch zeta function Φ δ , ς ; γ ( ξ , s , υ ; p ) $\varPhi _{\delta ,\varsigma ;\gamma }(\xi ,s,\upsilon ;p)$ involving the extension of the beta function (Choi et al. in Honam Math. J.
Raghib Nadeem   +3 more
doaj   +1 more source

Generating functions in Symplectic Geometry

open access: yesPesquimat, 2019
In this work, we present a brief introduction to Symplectic Geometry relating its origin with the Physics. Then we present the formal definition of symplectic manifold and some important results, with this we consider a function AH;N defined in the ...
Josué Alonso Aguirre Enciso   +1 more
doaj   +1 more source

Some generating functions of modified Bessel polynomials from the view point of Lie group

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
In this paper we have derived a class of bilateral generating relation for modified Bessel polynomials from the view point of Lie group. An application of our theorem is also pointed out.
Asit Kumar Chongdar
doaj   +1 more source

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