A note on asymptotics and nonoscillation of linear $q$-difference equations
We study the linear second order $q$-difference equation $y(q^2t)+a(t)y(qt)+b(t)y(t)=0$ on the $q$-uniform lattice $\{q^k:k\in\mathbb{N}_0\}$ with $q>1$, where $b(t)\ne0$. We establish various conditions guaranteeing the existence of solutions satisfying
Pavel Řehák
doaj +1 more source
Asymptotic Behavior of Solutions to Half-Linear q-Difference Equations
We derive necessary and sufficient conditions for (some or all) positive solutions of the half-linear q-difference equation Dq(Φ(Dqy(t)))+p(t)Φ(y(qt))=0, t∈{qk:k∈N0} with q>1, Φ(u)=|u|α−1sgnu with α>1, to behave like
Pavel Řehák
doaj +1 more source
Modeling musicological information as trigrams in a system for simultaneous chord and local key extraction [PDF]
In this paper, we discuss the introduction of a trigram musicological model in a simultaneous chord and local key extraction system. By enlarging the context of the musicological model, we hoped to achieve a higher accuracy that could justify the ...
Leman, Marc +2 more
core +1 more source
Kneser-Type Oscillation Criteria for Half-Linear Delay Differential Equations of Third Order
This paper delves into the analysis of oscillation characteristics within third-order quasilinear delay equations, focusing on the canonical case. Novel sufficient conditions are introduced, aimed at discerning the nature of solutions—whether they ...
F. Masood +5 more
semanticscholar +1 more source
TwistBytes - identification of Cuneiform languages and German dialects at VarDial 2019 [PDF]
We describe our approaches for the German Dialect Identification (GDI) and the Cuneiform Language Identification (CLI) tasks at the VarDial Evaluation Campaign 2019.
Benites de Azevedo e Souza, Fernando +2 more
core +1 more source
A DSATUR-based algorithm for the Equitable Coloring Problem [PDF]
This paper describes a new exact algorithm for the Equitable Coloring Problem, a coloring problem where the sizes of two arbitrary color classes differ in at most one unit.
Méndez-Díaz, Isabel +2 more
core +2 more sources
Invertible harmonic mappings, beyond Kneser
We prove necessary and sufficient criteria of invertibility for planar harmonic mappings which generalize a classical result of H. Kneser, also known as the Rad\'{o}-Kneser-Choquet theorem.Comment: One section added.
Alessandrini, Giovanni, Nesi, Vincenzo
core +1 more source
Signed Projective Cubes, a Homomorphism Point of View
ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
wiley +1 more source
Global and local cutoff frequencies for transverse waves propagating along solar magnetic flux tubes [PDF]
The propagation of linear transverse waves along a thin isothermal magnetic flux tube is affected by a global cutoff frequency that separates propagating and non-propagating waves. In this paper, wave propagation along a thin but non-isothermal flux tube
Hammer, R., Musielak, Z. E., Routh, S.
core +1 more source
On the Euler characteristic of S$S$‐arithmetic groups
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley +1 more source

