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Articles 751 - 780 of 10317
Full-Text Articles in Physical Sciences and Mathematics
Structure Of Annihilators Of Powers, Jongwook Baeck, Nam Kyun Kim, Tai Keun Kwak, Yang Lee
Structure Of Annihilators Of Powers, Jongwook Baeck, Nam Kyun Kim, Tai Keun Kwak, Yang Lee
Turkish Journal of Mathematics
We study the following two conditions in rings: (i) the right annihilator of some power of any element is an ideal, and (ii) the right annihilator of any nonzero element $a$ contains an ideal generated by some power of any right zero-divisor of the element $a$. We investigate the structure of rings in relation to these conditions; especially, a ring with the condition (ii) is called right APIP. These conditions are shown to be not right-left symmetric. For a prime two-sided APIP ring $R$ we prove that every element of $R$ is either nilpotent or regular, and that if $R$ …
A New Kind Of $F$-Contraction And Some Best Proximity Point Results For Such Mappings With An Application, Hakan Şahi̇n
A New Kind Of $F$-Contraction And Some Best Proximity Point Results For Such Mappings With An Application, Hakan Şahi̇n
Turkish Journal of Mathematics
In this paper, we aim to present a new and unified way, including the previously mentioned solution methods, to overcome the problem in [7] for closed and bounded valued $F$-contraction mappings. We also want to obtain a real generalization of fixed point results existing in the literature by using best proximity point theory. Further, considering the strong relationship between homotopy theory and various branches of mathematics such as category theory, topological spaces, and Hamiltonian manifolds in quantum mechanics, our objective is to present an application to homotopy theory of our best proximity point results obtained in the paper. In this …
On Properties Of The Reeb Vector Field Of $(\Alpha,\Beta)$ Trans-Sasakian Structure, Alexander Yampolsky
On Properties Of The Reeb Vector Field Of $(\Alpha,\Beta)$ Trans-Sasakian Structure, Alexander Yampolsky
Turkish Journal of Mathematics
The paper focused on the mean curvature and totally geodesic property of the Reeb vector field $\xi$ on $(\alpha,\beta)$ trans-Sasakian manifold $M$ of dimension $(2n+1)$ as a submanifold in the unit tangent bundle $T_1M$ with Sasaki metric $g_S$. We give an explicit formula for the norm of mean curvature vector of the submanifold $\xi(M)\subset (T_1M,g_S)$. As a byproduct, for the Reeb vector field, we get some known results concerning its minimality, harmonicity and the property to define a harmonic map. We prove that on connected proper trans-Sasakian manifold the Reeb vector field does not give rise to totally geodesic submanifold …
Inverse Nodal Problem For Sturm-Liouville Operator On A Star Graph With Nonequal Edges, Sevi̇m Durak
Inverse Nodal Problem For Sturm-Liouville Operator On A Star Graph With Nonequal Edges, Sevi̇m Durak
Turkish Journal of Mathematics
In this study, Sturm-Liouville operator was investigated on a star graph with nonequal edges. First, the behaviors of sufficiently large eigenvalues were learned, then the solution of the inverse problem was given to determine the potantial functions and parameters of the boundary condition on the star graph with the help of a dense set of nodal points and obtain a constructive solution to the inverse problems of this class.
On The $2$-Class Group Of Some Number Fields Of $2$-Power Degree, Idriss Jerrari, Abdelmalek Azizi
On The $2$-Class Group Of Some Number Fields Of $2$-Power Degree, Idriss Jerrari, Abdelmalek Azizi
Turkish Journal of Mathematics
Let $K$ be an imaginary cyclic quartic number field whose $2$-class group is isomorphic to $\mathbb{Z}/2\mathbb{Z}\times\mathbb{Z}/2\mathbb{Z}$, and let $K^*$ denote the genus field of $K$. In this paper, we compute the rank of the $2$-class group of $K^*_n$ the $n$-th layer of the cyclotomic $Z_2$-extension of $K^*$.
(Co)Limit Calculations In The Category Of 2-Crossed $R$-Modules, Eli̇s Soylu Yilmaz
(Co)Limit Calculations In The Category Of 2-Crossed $R$-Modules, Eli̇s Soylu Yilmaz
Turkish Journal of Mathematics
In this work, we obtain how to construct finite limits and colimits for 2-crossed $R$-Modules over groups denoted with $\mathbf{X_2Mod/R}$. We give direct construction of the pullback object to show that this category has finite products over the terminal object. We also show finite coproducts and (co)completeness.
Novel Exact Solutions To Navier-Stokes Momentum Equations Describing An Incompressible Fluid, Yahya Öz
Novel Exact Solutions To Navier-Stokes Momentum Equations Describing An Incompressible Fluid, Yahya Öz
Turkish Journal of Mathematics
An analytical solution to the incompressible Navier-Stokes momentum equations for a divergence-free flow $\boldsymbol{\nabla}\cdot \vec u\left(\vec x,t\right)=0$ with time-dependent dynamic viscosity $\mu\left(t\right)$ is presented. The demonstrated methodology holds for the physically relevent three dimensions. The constructed flow velocities $\vec u\left(\vec x,t\right)$ are eigenvectors of the vector operator curl. Moreover, vortex $\vec \omega\left(\vec x,t\right)$, helicity $H\left(\vec x,t\right)$, enstrophy $\mathcal{E}\left(t\right)$ and enstrophy evolution $\frac{\mathrm{d}\mathcal{E}\left(t\right)}{\mathrm{d}t}$ are explicitly determined.
Translating Solitons Of Translation And Homothetical Types, Muhi̇tti̇n Evren Aydin, Rafael Lopez
Translating Solitons Of Translation And Homothetical Types, Muhi̇tti̇n Evren Aydin, Rafael Lopez
Turkish Journal of Mathematics
We prove that if a translating soliton can be expressed as the sum of two curves and one of these curves is planar, then the other curve is also planar and consequently the surface must be a plane or a grim reaper. We also investigate translating solitons that can be locally written as the product of two functions of one variable. We extend the results in Lorentz-Minkowski space.
Properties Of Doubly Heavy Baryons In Qcd, Takhmasib Aliyev, Selçuk Bi̇lmi̇ş
Properties Of Doubly Heavy Baryons In Qcd, Takhmasib Aliyev, Selçuk Bi̇lmi̇ş
Turkish Journal of Physics
The study of the properties of doubly heavy baryons represents a promising area in particle physics. It can provide us with information about Cabibbo-Kobayashi-Maskawa (CKM) matrix elements and the low energy dynamics of QCD. They have a very rich phenomenology. The investigation of weak, electromagnetic, and strong decays has a vital importance for understanding the dynamics of doubly heavy baryons. The main ingredients of such studies are the spectroscopic parameters, the strong coupling constants, and the transition form factors. For calculations of these quantities, non-perturbative methods are needed. One of these methods is the QCD sum rules. In the present …
Spectral Theory Of B-Weyl Elements And The Generalized Weyl's Theorem In Primitive C*-Algebra, Yingying Kong, Yanxun Ren, Lining Jiang
Spectral Theory Of B-Weyl Elements And The Generalized Weyl's Theorem In Primitive C*-Algebra, Yingying Kong, Yanxun Ren, Lining Jiang
Turkish Journal of Mathematics
Let $\mathcal{A}$ be a unital primitive C*-algebra. This paper studies the spectral theories of B-Weyl elements and B-Browder elements in $\mathcal{A}$, including the spectral mapping theorem and a characterization of B-Weyl spectrum. In addition, we characterize the generalized Weyl's theorem and the generalized Browder's theorem for an element $a\in\mathcal{A}$ and $f(a)$, where $f$ is a complex-valued function analytic on a neighborhood of $\sigma(a)$. What's more, the perturbations of the generalized Weyl's theorem under the socle of $\mathcal{A}$ and quasinilpotent element are illustrated.
Li-Yorke Chaos And Topological Distributional Chaos In A Sequence, Naveenkumar Yadav, Sejal Shah
Li-Yorke Chaos And Topological Distributional Chaos In A Sequence, Naveenkumar Yadav, Sejal Shah
Turkish Journal of Mathematics
We study here the topological notion of Li-Yorke chaos defined for uniformly continuous self-maps defined on uniform Hausdorff spaces, which are not necessarily compact metrizable. We prove that a weakly mixing uniformly continuous self-map defined on a second countable Baire uniform Hausdorff space without isolated points is Li-Yorke chaotic. Further, we define and study the notion of topological distributional chaos in a sequence for uniformly continuous self-maps defined on uniform Hausdorff spaces. We prove that Li-Yorke chaos is equivalent to topological distributional chaos in a sequence for uniformly continuous self-maps defined on second countable Baire uniform Hausdorff space without isolated …
Explicit Examples Of Constant Curvature Surfaces In The Supersymmetric ${C}P^{2}$ Sigma Model, İsmet Yurduşen
Explicit Examples Of Constant Curvature Surfaces In The Supersymmetric ${C}P^{2}$ Sigma Model, İsmet Yurduşen
Turkish Journal of Mathematics
The surfaces constructed from the holomorphic solutions of the supersymmetric (susy) ${C}P^{N-1}$ sigma model are studied. By obtaining compact general expansion formulae having neat forms due to the properties of the superspace in which this model is described, the explicit expressions for the components of the radius vector as well as the elements of the metric and the Gaussian curvature are given in a rather natural manner. Several examples of constant curvature surfaces for the susy ${C}P^{2}$ sigma model are presented.
Existence And Transportation Inequalities For Fractional Stochastic Differential Equations, Abdelghani Ouahab, Mustapha Belabbas, Johnny Henderson, Fethi Souna
Existence And Transportation Inequalities For Fractional Stochastic Differential Equations, Abdelghani Ouahab, Mustapha Belabbas, Johnny Henderson, Fethi Souna
Turkish Journal of Mathematics
In this work, we establish the existence and uniqueness of solutions for a fractional stochastic differential equation driven by countably many Brownian motions on bounded and unbounded intervals. Also, we study the continuous dependence of solutions on initial data. Finally, we establish the transportation quadratic cost inequality for some classes of fractional stochastic equations and continuous dependence of solutions with respect Wasserstein distance.
Properties Of Abelian-By-Cyclic Shared By Soluble Finitely Generated Groups, Fares Gherbi, Nadir Trabelsi
Properties Of Abelian-By-Cyclic Shared By Soluble Finitely Generated Groups, Fares Gherbi, Nadir Trabelsi
Turkish Journal of Mathematics
Our main result states that if $G$ is a finitely generated soluble group having a normal Abelian subgroup $A$, such that $G/A$ and $\left\langle x,a\right\rangle $ are nilpotent (respectively, finite-by-nilpotent, periodic-by-nilpotent, nilpotent-by-finite, finite-by-supersoluble, supersoluble-by-finite) for all $(x,a)\in G\times A$, then so is $G$. We deduce that if $\mathfrak{X}$ is a subgroup and quotient closed class of groups and if all $2$-generated Abelian-by-cyclic groups of $\mathfrak{X}$ are nilpotent (respectively, finite-by-nilpotent, periodic-by-nilpotent, nilpotent-by-finite, finite-by-supersoluble, supersoluble-by-finite), then so are all finitely generated soluble groups of $\mathfrak{X}$. We give examples that show that our main result is not true for other classes of groups, …
Multiplicative Conformable Fractional Dirac System, Sertaç Göktaş, Hi̇kmet Kemaloğlu, Emrah Yilmaz
Multiplicative Conformable Fractional Dirac System, Sertaç Göktaş, Hi̇kmet Kemaloğlu, Emrah Yilmaz
Turkish Journal of Mathematics
In multiplicative fractional calculus, the well-known Dirac system in fractional calculus is redefined. The aim of this study is to analyze some spectral properties such as self-adjointness of the operator, structure of all eigenvalues, orthogonality of distinct eigenfunctions, etc. for this system. Moreover, Green's function in multiplicative case is reconstructed for this system.
A New Approach To Word Standardization And Some Of Its Applications, Wesam Talab
A New Approach To Word Standardization And Some Of Its Applications, Wesam Talab
Turkish Journal of Mathematics
In this article, we study word standardization in comparison to Young tableau standardization. We count the number of words (respectively Young tableau) standardized to a given permutation (respectively to a given standard Young tableau). We prove that both rectification and standardization applications commute and show that the standardization commutes with the insertion of Robinson--Schensted. We show that the standardizations of Knuth-equivalent two words are also Knuth equivalent. Finally, using word standardization we establish a proof for the following well-known equality: $$ \forall l \in \left\lbrace 0,1,\ldots,n-1\right\rbrace ,~~\left \langle {n\atop l} \right \rangle=d_{n,l}=a_{n,l}= \sum_{0\leq k \leq l}(-1)^k { n+1 \choose k …
Some Convergence, Stability, And Data Dependence Results For $K^{\Ast }$ Iterative Method Of Quasi-Strictly Contractive Mappings, Ruken Çeli̇k, Neci̇p Şi̇mşek
Some Convergence, Stability, And Data Dependence Results For $K^{\Ast }$ Iterative Method Of Quasi-Strictly Contractive Mappings, Ruken Çeli̇k, Neci̇p Şi̇mşek
Turkish Journal of Mathematics
In a recent paper, Yu et al. obtained convergence and stability results of the $K^{\ast }$ iterative method for quasi-strictly contractive mappings [An iteration process for a general class of contractive-like operators: Convergence, stability and polynomiography. AIMS Mathematics 2021; 6 (7): 6699-6714.]. To guarantee these convergence and stability results, the authors imposed some strong conditions on parametric control sequences which are used in the $K^{\ast }$ iterative method. The aim of the presented work is twofold: (a) to recapture the aforementioned results without any restrictions imposed on the mentioned parametric control sequences (b) to complete the work of Yu et …
Multiple Positive Solutions For Nonlinear Fractional $Q$-Difference Equation With $P$-Laplacian Operator, Zhongyun Qin, Shurong Sun, Zhenlai Han
Multiple Positive Solutions For Nonlinear Fractional $Q$-Difference Equation With $P$-Laplacian Operator, Zhongyun Qin, Shurong Sun, Zhenlai Han
Turkish Journal of Mathematics
In this paper, we investigate a class of four-point boundary value problems of fractional $q$-difference equation with $p$-Laplacian operator which is the first time to be studied and is extended from a bending elastic beam equation. By Avery-Peterson theorem and the method of lower and upper solutions associated with monotone iterative technique, we obtain some sufficient conditions for the existence of multiple positive solutions. As applications, examples are presented to illustrate the main results.
Antimicrobial And Lipase Inhibition Of Essential Oil And Solvent Extracts Of Cota Tinctoria Var. Tinctoria And Characterization Of The Essential Oil, İshak Eri̇k, Gözde Bozdal, Sila Özlem Şener, Büşra Korkmaz, Şengül Alpay Karaoğlu, Sali̇h Terzi̇oğlu, Nuretti̇n Yayli
Antimicrobial And Lipase Inhibition Of Essential Oil And Solvent Extracts Of Cota Tinctoria Var. Tinctoria And Characterization Of The Essential Oil, İshak Eri̇k, Gözde Bozdal, Sila Özlem Şener, Büşra Korkmaz, Şengül Alpay Karaoğlu, Sali̇h Terzi̇oğlu, Nuretti̇n Yayli
Turkish Journal of Chemistry
The essential oil (EO) of Cota tinctoria var. tinctoria was analyzed using GC-FID / MS. A total of 51 compounds were determined from this taxon, accounting for 99.79% in hydrodistillation. Monoterpenes were the primary chemical class for the volatile organic compounds in the EO (36.1%, 13 compounds). Borneol (18.1%), camphor (14.9%), and β-pinene (11.3%) were the major components in the EO of C. tinctoria var. tinctoria. The antimicrobial activities of EO and n-hexane, acetonitrile, methanol, and water solvent extracts of the taxon were screened in vitro against ten microorganisms. The EO yielded the best activity (15 mm, 372.5 MIC, 59600 …
Quantum Kinetic Equation For Fermionic Fluids And Chiral Kinetic Theory, Ömer Faruk Dayi
Quantum Kinetic Equation For Fermionic Fluids And Chiral Kinetic Theory, Ömer Faruk Dayi
Turkish Journal of Physics
We first review how one can establish the quantum kinetic equation for fluids of spin-1/2 particles. Then we present the construction of the semiclassical relativistic chiral kinetic equation of the fluid in the presence of the external electromagnetic fields. We derive the resulting nonrelativistic chiral kinetic theory. We calculated the particle number current density and showed that chiral effects are correctly generated. Moreover, it satisfies the anomalous continuity equation.
Dissolution Of Alumina In Cryolite Melts: A Conceptual Dft Study, Ali̇met Sema Özen, Zehra Akdeni̇z
Dissolution Of Alumina In Cryolite Melts: A Conceptual Dft Study, Ali̇met Sema Özen, Zehra Akdeni̇z
Turkish Journal of Physics
Interactions between alumina and cryolite clusters were investigated using chemical reactivity descriptors based on Conceptual DFT such as global hardness, $\eta$, global softness, $S$, fukui functions, $f$, and local softness, $s$. Hard and Soft Acids and Bases (HSAB) Principle was applied for identifying clusters that are most likely to interact with alumina, Al$_2$O$_3$. Local reactivity descriptors were employed to predict the most probable regions of interaction within the cluster.
Parametric And Kinetic Study Of Solvent-Free Synthesis Of Solketal Using Ion Exchange Resin, Dheer A. Rambhia, Sravanthi Veluturla, Archna Narula
Parametric And Kinetic Study Of Solvent-Free Synthesis Of Solketal Using Ion Exchange Resin, Dheer A. Rambhia, Sravanthi Veluturla, Archna Narula
Turkish Journal of Chemistry
The ketalization reaction of glycerol with acetone for solketal formation was performed using a gel-type ion exchange resin, Indion 225H in a solvent-free medium. The experimental parameters molar ratio, catalyst loading, rate of stirring, and temperature were analyzed and evaluated for their impact on the conversion of glycerol. A kinetic model based on the Langmuir-Hinshelwood?Hougen- Watson (LHHW) equation described the kinetics of the heterogeneous system. The parameters were evaluated using the ode45 solver and Genetic Algorithm (GA) optimization function on MATLAB software. The activation energy for the ketalization of glycerol was found to be 39.3 kJ/mol, the enthalpy of adsorption …
Self-Consistent Markovian Embedding Of Generalized Langevin Equations With Configuration-Dependent Mass And A Nonlinear Friction Kernel, Cihan Ayaz, Lucas Tepper, Roland R. Netz
Self-Consistent Markovian Embedding Of Generalized Langevin Equations With Configuration-Dependent Mass And A Nonlinear Friction Kernel, Cihan Ayaz, Lucas Tepper, Roland R. Netz
Turkish Journal of Physics
We consider a generalized Langevin equation (GLE) in which the deterministic force, the mass and the friction kernel are configuration-dependent, i.e. general nonlinear functions of the reaction coordinate. We introduce a projection operator that allows for a self-consistent Markovian embedding of such GLEs. Self-consistency means that trajectories generated by the Markovian embedding are described by a GLE with the same configuration-dependent deterministic force, mass and friction kernel. Using the projection operator, we derive a closed-form relation between the parameters of the Markovian embedding Langevin equations and the parameters of the GLE. This is accomplished by applying the projection operator formalism …
Fluorometric Determination Of Ornidazole By Using Bsa Coated Copper Nanoclusters As A Novel Turn Off Sensor, Mehmetcan Bi̇lkay, Hayri̇ye Eda Şatana Kara
Fluorometric Determination Of Ornidazole By Using Bsa Coated Copper Nanoclusters As A Novel Turn Off Sensor, Mehmetcan Bi̇lkay, Hayri̇ye Eda Şatana Kara
Turkish Journal of Chemistry
A fluorescent probe based on bovine serum albumin stabilized copper nanoclusters (BSA-CuNCs) was developed for the selective and sensitive determination of ornidazole (ORN). The nanoclusters were synthesized via a one-pot hydrothermal process in basic media. The synthesized and characterized BSA-CuNCs have less than 3 nm particle size and exhibited blue emission at 405 nm when excited at 325 nm. Synthesized and characterized nanoclusters were successfully applied as a turn-off fluorescent probe for the determination of ORN in pharmaceutical dosage forms. The quenching mechanism created an was inner filter effect (IFE). The method was linear in the concentration range of 0.52-13.56 …
A Bodipy Based Probe For The Reversible "Turn On" Detection Of Au(Iii) Ions, Muhammed Üçüncü
A Bodipy Based Probe For The Reversible "Turn On" Detection Of Au(Iii) Ions, Muhammed Üçüncü
Turkish Journal of Chemistry
A new "turn on" fluorescent probe for the rapid and selective detection of Au3+ ions over other metal ions was developed. The probe design was constructed on a BODIPY-2-aminopyridine skeleton showing a weak fluorescence emission signal which increased substantially after the coordination of Au3+ ions. The probe displayed remarkable sensing performances such as a low limit of detection (17 nM), a short response time (
K−Uniformly Multivalent Functions Involving Liu-Owa Q−Integral Operator, Asena Çeti̇nkaya
K−Uniformly Multivalent Functions Involving Liu-Owa Q−Integral Operator, Asena Çeti̇nkaya
Turkish Journal of Mathematics
In this paper, we introduce $q-$analogue of Liu-Owa integral operator and define a subclass of $k-$uniformly multivalent starlike functions of order $\gamma, (0\leq\gamma< p; p\in\mathbb{N})$ by using the Liu-Owa $q-$integral operator. We examine coefficient estimates, growth and distortion bounds for the functions belonging to the subclass of $k-$uniformly multivalent starlike functions of order $\gamma$. Moreover, we determine radii of $k-$uniformly starlikeness, convexity and close-to-convexity for the functions belonging to this subclass.
Variational Geometry For Surfaces In Conformally Flat Space, Najma Mosadegh, Esmaiel Abedi
Variational Geometry For Surfaces In Conformally Flat Space, Najma Mosadegh, Esmaiel Abedi
Turkish Journal of Mathematics
In this paper, it is shown that a closed surface in 3-dimensional harmonic conformally flat space is minimal if the sign of the mean curvature does not change. Also, it is determined that the critical point of mean curvature functional of the surface is homeomorphic to the sphere.
Efficient Nyberg-Rueppel Type Of Ntru Digital Signature Algorithm, Ferdi̇ Elverdi̇, Sedat Akleylek, Bariş Bülent Kirlar
Efficient Nyberg-Rueppel Type Of Ntru Digital Signature Algorithm, Ferdi̇ Elverdi̇, Sedat Akleylek, Bariş Bülent Kirlar
Turkish Journal of Mathematics
Message recovery is an important property in Nyberg-Rueppel type digital signature algorithms. However, the security of Nyberg-Rueppel type digital signature algorithms depends on the hard problems which might be vulnerable to quantum attacks. Therefore, quantum resistant Nyberg-Rueppel type digital signature algorithms with message recovery property are needed. Since NTRU-based cryptosystems are one of the best studied quantum-resistant schemes, using traditional NTRU encryption scheme has several advantages on the message recovery property. In this paper, we define Nyberg-Rueppel type of NTRU digital signature algorithm. It is carried out by combining NTRU-based encryption and signature algorithms. In the proposed scheme, efficient message …
A New Subclass Of Certain Analytic Univalent Functions Associated With Hypergeometric Functions, Alaatti̇n Akyar
A New Subclass Of Certain Analytic Univalent Functions Associated With Hypergeometric Functions, Alaatti̇n Akyar
Turkish Journal of Mathematics
The main objective of the present paper is to give with using the linear operator theory and also hypergeometric representations of related functions a new special subclass $\mathcal{TS}_{p}(2^{-r},2^{-1}), r\in \mathbb{ Z }^{+}$ of uniformly convex functions and in addition a suitable subclass of starlike functions with negative Taylor coefficients. Furthermore, the provided trailblazer outcomes in presented study are generalized to certain functions classes with fixed finitely many Taylor coefficients.
Examination Of Eigenvalues And Spectral Singularities Of A Discrete Dirac Operator With An Interaction Point, Şeri̇fenur Cebesoy
Examination Of Eigenvalues And Spectral Singularities Of A Discrete Dirac Operator With An Interaction Point, Şeri̇fenur Cebesoy
Turkish Journal of Mathematics
In this paper, the main content is the consideration of the concepts of eigenvalues and spectral singularities of an operator generated by a discrete Dirac system in $\ell_{2}(\mathbb{Z},\mathbb{C}^{2})$ with an interior interaction point. Defining a transfer matrix $ M $ enables us to present a relationship between the $ M_{22} $ component of this matrix and Jost functions of mentioned Dirac operator so that its eigenvalues and spectral properties can be studied. Finally, some special cases are examined where the impulsive condition possesses certain symmetries.