Revistas académicas de la Universidad Católica del Norte
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On the maximal sets for F-expansive measures
No full textWe introduce the notion of maximal set for an F-expansive measure and show that this set is a clopen set on the set of all the reparametrizations H. Moreover, we show that every F-expansive measure is B_f-expansive for every f\in F
The Rainbow Neighborhood Number of Graph Products
No full text The concept of rainbow neighborhood number provides significant insights into the area of graph coloring. In this paper, we have established results on the rainbow neighborhood number of different graph products, such as the Cartesian product, tensor product, strong product, and lexicographic product
Invariant bilinear forms under the rigid motions of a regular polygon
No full text In this paper, for a positive integer , we compute the number of all degree representations for a dihedral group of order , . We evaluate dimensions of the spaces of invariant bilinear forms corresponding to each of the representation over the field of complex numbers (in fact over a number field consisting of a primitive root of unity). We also, assure that the same results hold equally good when considered over a field of characteristic . We explicitly discuss the existence of a non-degenerate invariant bilinear form.
A new approach to almost fuzzy compactness
No full textA new definition of almost fuzzy compactness is introduced in Ltopological spaces by means of open L-sets and their inequality when L is a complete DeMorgan algebra. It can also be characterized by closed L-sets, regularly closed L-sets, regularly open L-sets and their inequalities. When L is a completely distributive DeMorgan algebra, its many characterizations are presented
On the solution of functional equations of Wilson's type on monoids
No full textLet S be a monoid, C be the set of complex numbers, and let σ,τ ∈ Antihom(S,S) satisfy τ ○ τ =σ ○ σ= id. The aim of this paper is to describe the solution ⨍,g: S → C of the functional equation
ʄ(xσ(y)) + ʄ(τ(y)x) = 2f(x)g(y), x, y ∈ S,
in terms of multiplicative and additive functions.Let S be a monoid, C be the set of complex numbers, and let ?,? ? Antihom(S,S) satisfy ? ? ? =? ? ?= id. The aim of this paper is to describe the solution ?,g: S ? C of the functional equation
in terms of multiplicative and additive functions
Even Vertex In-Magic Total Labeling Of Digraphs
No full textLet be a directed graph with vertices and arcs. An even vertex in-magic total labeling (EVIMTL) is a bijection with the property that and for each , for some positive integer . A digraph that admits an EVIMTL is called an even vertex in-magic total(EVIMT).In this paper, we study some basic properties of EVIMTL. Using these properties, we prove theexistence and non-existence of EVIMTL for some families of digraphs
Regular topological group action yield sections of Core higher homotopy groupoid bundle
No full textIn this paper, we discuss sections of higher homotopy groupoid bundles those yield by group actions. We study some basic properties related to the left-invariant (G-invariant) of such sections and also present some conditions for such sections to be left-invariant (G-invariant). We concentrate a kind of group action on the Core higher homotopy groupoid bundle of certain topological spaces which undergo a regular topological group action. Interestingly, each element of orbit space yields continuous sections of the Core higher homotopy groupoid bundle having beautiful algebraic properties. Moreover, each of those continuous sections behaves nicely as a left-invariant section with respect to topological group action by G. Since higher homotopy groups are abelian, the set of such sections forms always an abelian group. Moreover, each element of the group is a left-invariant section, therefore, it is convenient to call them commutative group of left-invariant sections of the Core higher homotopy groupoid bundle. Further, we show this group is a topological invariant and study some basic properties of it. At the end of the paper, we give interrelations between the retraction map and this group
Mathematical Analysis of a Predator–Prey Model Incorporating Prey Fear
No full textEste estudio analiza un ecosistema depredador-presa en el que la presa sirve como fuente de alimento preferida del depredador. El crecimiento de la población de presas está limitado por dos factores principales: la disponibilidad de recursos ambientales y el miedo inducido por la presencia del depredador. Por otro lado, el crecimiento de la población de depredadores está restringido por la disponibilidad tanto de presas como de una fuente de alimento alternativa. Se asume que el tiempo que los depredadores dedican a perseguir, someter, consumir y digerir a sus presas, junto con el tiempo necesario para prepararse para la siguiente cacería, depende del número de individuos en ambas poblaciones. El trabajo consiste en un análisis cualitativo exhaustivo de las soluciones al sistema de ecuaciones asociado con el modelo propuesto. Estos resultados analíticos se validan posteriormente mediante simulaciones numéricas implementadas en Python. Además, se realiza un estudio comparativo con un modelo similar que no incorpora la respuesta de miedo de la presa al depredador
The largest Laplacian and adjacency indices of complete caterpillars of fixed diameter
No full textA complete caterpillar is a caterpillar in which each internal vertex is a quasi-pendent vertex. In this paper, in the class of all complete caterpillars on n vertices and diameter d, the caterpillar attaining the largest Laplacian index is determined. In addition, it is proved that this caterpillar also attains the largest adjacency index