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Journal of New Theory, Iss 46, Pp 110-117 (2024)
ISSN 2149-1402 · Naim Çağman · 447 artikel di indeks
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Artikel Jurnal
Some Results on Related Fixed Point Theorems in Two $S$-Metric Spaces
In this study, by considering the technique in the theorem of Bollenbacher and Hicks, we obtain some related fixed point theorems involving two mappings on two related complete $S$-metric spaces with certain conditions. As the applications of the main theorem, we then derive some new related fixed…
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Rings Whose Pure-Projective Modules Have Maximal or Minimal Projectivity Domain
In this study, we investigate the projectivity domain of pure-projective modules. A pure-projective module is called special-pure-projective (s-pure-projective) module if its projectivity domain contains only regular modules. First, we describe all rings whose pure-projective modules are…
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Characterization of Two Specific Cases with New Operators in Ideal Topological Spaces
This research deals with new operators $\wedge_{\Gamma}$, $\veebar_{\Gamma}$, and $\barwedge_{\Gamma}$, defined using $\Gamma$-local closure function and $\Psi_{\Gamma}$-operator in ideal topological spaces. It investigates the main features of these operators and their relationships with each…
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Computation of the Golden Matrix Exponential Functions of Special Matrices
Computation of the matrix exponential functions is important in solving various scientific and engineering problems due to their active role in solving differential equations. Accurate and effective computation of these functions determines the success of mathematical analysis and practical…
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Graphs with Total Domination Number Double of the Matching Number
A subset $S$ of vertices of a graph $G$ with no isolated vertex is called a total dominating set of $G$ if each vertex of $G$ has at least one neighbor in the set $S$. The total domination number $\gamma_t(G)$ of a graph $G$ is the minimum value of the size of a total dominating set of $G$. A…
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Renyi Type Holographic Dark Energy
Dark energy is one of the prominent mysteries of the universe that still awaits a solution. One of the plausible ways to collect data about any formation or understand its information capacity is to investigate the entropy of that formation. In this study, Renyi Holographic Dark Energy (RHDE)…
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Parabolic Numbers: A New Perspective
Thus far, many studies have been conducted on $p$-complex numbers. Depending on the sign of $p$, there are three cases: hyperbolic, dual, and elliptic. In the literature, dual numbers are called parabolic numbers, but they do not parameterize parabolas. Therefore, a number system that parameterizes…
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Existence Results for $\aleph$-Caputo Fractional Boundary Value Problems with $p$-Laplacian Operator
This study delves into the investigation of positive solutions for a specific class of $\aleph$-Caputo fractional boundary value problems with the inclusion of the p-Laplacian operator. In this research, we use the theory of the fixed point theory within a cone to establish the existence results…
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Chen-Type Inequality for Generic Submanifolds of Quaternionic Space Form and Its Application
In 1993, the theory of Chen invariants started when Chen wrote basic inequalities for submanifolds in space forms. This inequality is called Chen’s first inequality. Afterward, many geometers studied many papers dealing with this new inequality. The present paper aims to establish a Chen inequality…
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Geodetic Domination Integrity of Thorny Graphs
The concept of geodetic domination integrity is a crucial parameter when examining the potential damage to a network. It has been observed that the removal of a geodetic set from the network can increase its vulnerability. This study explores the geodetic domination integrity parameter and presents…
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Whiskered Groupoids and Crossed Modules with Diagrams
In this study, we investigate the relationships between the category of crossed modules of groups and the category of whiskered groupoids. Our first aim is to construct a crossed module structure over groups from a whiskered groupoid with the objects set - a group (regular groupoid) - using the…
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Artikel Jurnal
On Strong $(i,j)$-Semi$^{*}$-$\Gamma $-Open Sets in Ideal Bitopological Space
In this study, we introduce the concepts of $(i,j)$-semi$^{*}$-$\Gamma $-open sets within the context of ideal bitopological spaces. This concept is demonstrated to be weaker than the established the notion of $(i,j)$-semi-$\Gamma $-open sets. Subsequently, we define strong…
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Spectral Characteristics of the Sturm-Liouville Problem with Spectral Parameter-Dependent Boundary Conditions
We consider the Sturm-Liouville problem on the half line $(0 \leq x
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Ruled Surfaces of Adjoint Curve with the Modified Orthogonal Frame
This paper analyzes several specific ruled surfaces generated by the base curve $\alpha$ and its director curve or the $\alpha$'s adjoint curve $\beta$ and its director curve, where the director curves are frame vectors of the modified orthogonal frame in $E^{3}$. Furthermore, this paper studies…
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Statistical Convergence in $L$-Fuzzy Metric Spaces
Statistical convergence, defined in terms of the natural density of positive integers, has been studied in many different spaces, such as intuitionistic fuzzy metric spaces, partial metric spaces, and $L$-fuzzy normed spaces. The main goal of this study is to define statistical convergence in…
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Hyper-Dual Leonardo Quaternions
In this paper, hyper-dual Leonardo quaternions are defined and studied. Some basic properties of the hyper-dual Leonardo quaternions, including their relationships with the hyper-dual Fibonacci quaternions and hyper-dual Lucas quaternions, are analyzed. In addition, some formulae and identities…
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On Factorization and Calculation of Determinant of Block Matrices with Triangular Submatrices
In this paper, we consider some block matrices of dimension $nm\times{nm}$ whose components are triangular matrices of dimension $n\times{n}$. We prove that the determinant of such block matrices is determined only by the diagonal elements of their submatrices and that this determinant is expressed…
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Mestre's Finite Field Method for Searching Elliptic Curves with High Ranks
The theory of elliptic curves is one of the popular topics of recent times with its unsolved problems and interesting conjectures. In 1922, Mordell proved that the group of $\mathbb{Q}$-rational points on an elliptic curve is finitely generated. However, the rank of this group, signifying the…
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Lattice of Subinjective Portfolios of Modules
Given a ring $R$, we study its right subinjective profile $\mathfrak{siP}(R)$ to be the collection of subinjectivity domains of its right $R$-modules. We deal with the lattice structure of the class $\mathfrak{siP}(R)$. We show that the poset $(\mathfrak{siP}(R),\subseteq)$ forms a complete…
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New Conformable P-Type $(3+1)$-Dimensional Evolution Equation and its Analytical and Numerical Solutions
The paper examines the conformable nonlinear evolution equation in $(3+1)$-dimensions. First, basic definitions and characteristics for the conformable derivative are given. Then, the modified extended tanh-function and $\exp(–\phi(\xi))$-expansion techniques are utilized to determine the exact…