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Morphological And Molecular Characterization Of Banana Clones Growing In Turkey, Fi̇li̇z Baysal, Sezai̇ Erci̇sli̇
Morphological And Molecular Characterization Of Banana Clones Growing In Turkey, Fi̇li̇z Baysal, Sezai̇ Erci̇sli̇
Turkish Journal of Botany
This study was conducted to estimate genetic relationships among banana clones growing in Turkey via some morphological parameters and two molecular marker systems. In terms of yield parameters such as bunch weight, hand number, fruit weight, and total fruit number, Grand Nain (GN) clone came to the forefront with the highest values. It was followed by Azman (AZ), Dwarf Cavendish (DC), and Erdemli Yerli (EY) clones, respectively. To see the variation between clones more clearly, 24 RAPD (Random Amplified Polymorphic DNA) primers and 48 SRAP (Sequence Related Amplified Polymorphism) primer combinations were used in molecular analysis. The total number of …
On Generalized Fibonacci And Lucas Hybrid Polynomials, N. Rosa Ait-Amrane, Hacene Belbachir, Eli̇f Tan
On Generalized Fibonacci And Lucas Hybrid Polynomials, N. Rosa Ait-Amrane, Hacene Belbachir, Eli̇f Tan
Turkish Journal of Mathematics
In this paper, we introduce a new generalization of Fibonacci and Lucas hybrid polynomials. We investigate some basic properties of these polynomials such as recurrence relations, the generating functions, the Binet formulas, summation formulas, and a matrix representation. We derive generalized Cassini's identity and generalized Honsberger formula for generalized Fibonacci hybrid polynomials by using their matrix representation.
The Fine Spectral Tuning Of Plasmon Mode And Quantum Emitter Coupling And Itscomparison With The Dark-Hot Resonances, Hira Asif, Rasi̇m Volga Ovali, Ramazan Şahi̇n
The Fine Spectral Tuning Of Plasmon Mode And Quantum Emitter Coupling And Itscomparison With The Dark-Hot Resonances, Hira Asif, Rasi̇m Volga Ovali, Ramazan Şahi̇n
Turkish Journal of Physics
Localization of incident fields into very small volumes (hot-spots) allows strong light-matter interactions at the hot spots. This makes path interference effects, Fano resonances, visible. Fano resonances can appear due to the coupling of a bright plasmon (i) to a longer lifetime dark plasmon mode or (ii) to a quantum object (QO) of a much longer lifetime. The second phenomenon provides a very important utility: the voltage tunability of the linear/nonlinear response. The level-spacing of the QO, such as defect-centers and quantum dots, are voltage-tunable which can make a sharp Fano resonance appear and disappear. Here, we compare the two …
Topical Review: Greybody Factors And Quasinormal Modes For Black Holes Invarious Theories - Fingerprints Of Invisibles, İzzet Sakalli, Sara Kanzi
Topical Review: Greybody Factors And Quasinormal Modes For Black Holes Invarious Theories - Fingerprints Of Invisibles, İzzet Sakalli, Sara Kanzi
Turkish Journal of Physics
We give a pedagogical introduction to black holes (BHs) greybody factors (GFs) and quasinormal modes (QNMs) and share the recent developments on those subjects. To this end, we present some particular analytical and approximation techniques for the computations of the GFs and QNMs. We first review the gravitational GFs and show how they are analytically calculated for static and spherically symmetric higher dimensional BHs, consisting the charged BHs and existence of cosmological constant (i.e. de Sitter (dS)/anti-de Sitter (AdS)AdS BHs). The computations performed involve both the low-energy (having real and small frequencies) and the asymptotic (having extremely high frequency of …
Extinction And Growth On An Inhomogeneous Seascape, Tung Tran, Mehran Kardar
Extinction And Growth On An Inhomogeneous Seascape, Tung Tran, Mehran Kardar
Turkish Journal of Physics
The effects of noise and nonuniformity on dynamics of populations are relevant and timely subjects of investigation. One form of variation is the time dependence of the reproduction rate (fitness), referred to as ?seascape? noise; another is time-independent intrinsic dependencies of fitness on location (in the parlance of statistical physics, corresponding to annealed and quenched disorder, respectively). The former was studied recently and demonstrated to lead to novel universality classes for extinction and growth. To reduce the gap between this theoretical model and reality, we develop a new formalism for seascape noise where growth and migration parameters are inhomogeneous. In …
Critical Dynamics In Biological Boolean Networks Follows From Symmetric Response To Input Genes, Hamza Çoban, Alkan Kabakçioğlu
Critical Dynamics In Biological Boolean Networks Follows From Symmetric Response To Input Genes, Hamza Çoban, Alkan Kabakçioğlu
Turkish Journal of Physics
A recent observation on an extensive collection of biological gene regulatory networks suggests that the regulatory dynamics is tuned to remain close to the order-chaos boundary in the Lyapunov sense [1]. We here investigate, from a mathematical perspective, the structural/functional constraints which give rise to such accumulation around criticality in these systems. While the role of canalizing functions in this respect is well established, we find that critical sensitivity to small input variations also follows from an over-abundance of symmetrical inputs, i.e. regulatory genes invoking identical or complementary responses on their common target. A random network ensemble constructed to have …
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.
On An Econophysics Model, Miron Kaufman
On An Econophysics Model, Miron Kaufman
Turkish Journal of Physics
Krugman has proposed a continuous in time and space model for the emergence of polycentric urban areas in the regional space. By using a discrete version of this model on spatial networks, we predicted the distribution of jobs among the different localities inside a couple of economic regions in Ohio and Texas. The time evolution of the distribution of jobs is governed by a market potential. Employment gradually moves towards locations considered relatively attractive if their market potential is above the spatial average. Similarly, jobs move away from locations with below-average market potential. First, I will show that the market …
Dynamic Multicritical Phase Diagrams Of The Mixed Spin (2, 5/2) Blume-Emery-Griffiths Model With Repulsive Biquadratic Coupling, Mustafa Gençaslan, Mustafa Keski̇n
Dynamic Multicritical Phase Diagrams Of The Mixed Spin (2, 5/2) Blume-Emery-Griffiths Model With Repulsive Biquadratic Coupling, Mustafa Gençaslan, Mustafa Keski̇n
Turkish Journal of Physics
We investigated the dynamic phase transitions (DPTs) in the mixed spin (2, 5/2) Blume-Emery Griffiths model with repulsive biquadratic interaction in the presence of a time-varying magnetic field. We used the path probability method to obtain the set of the dynamic equations. We numerically solved these dynamic equations to characterize the nature of first- and second-order phase transitions and to find the DPT temperatures as well as obtain the phases in the system. We constructed the dynamic phase diagrams (DPDs) in reduced temperature and amplitude of oscillating magnetic field plane. We observed that the DPDs display richer, complex and more …
Developing A Label Propagation Approach For Cancer Subtype Identification Problem, Pinar Güner, Burcu Güngör, Mustafa Coşkun
Developing A Label Propagation Approach For Cancer Subtype Identification Problem, Pinar Güner, Burcu Güngör, Mustafa Coşkun
Turkish Journal of Biology
Cancer is a disease in which abnormal cells grow uncontrollably and invade other tissues. Several types of cancer have various subtypes with different clinical and biological implications. Based on these differences, treatment methods need to be customized. The identification of distinct cancer subtypes is an important problem in bioinformatics, since it can guide future precision medicine applications. In order to design targeted treatments, bioinformatics methods attempt to discover common molecular pathology of different cancer subtypes. Along this line, several computational methods have been proposed to discover cancer subtypes or to stratify cancer into informative subtypes. However, existing works do not …
Deep Learning-Aided Automated Personal Data Discovery And Profiling, Apdullah Yayik, Vedat Aybar, Hasan Hüseyi̇n Apik, Sevcan İçöz, Beki̇r Bakar, Tunga Güngör
Deep Learning-Aided Automated Personal Data Discovery And Profiling, Apdullah Yayik, Vedat Aybar, Hasan Hüseyi̇n Apik, Sevcan İçöz, Beki̇r Bakar, Tunga Güngör
Turkish Journal of Electrical Engineering and Computer Sciences
In Turkey, Turkish Personal Data Protection Rule (PDPR) No. 6698, in force since 2016, provides protection to citizens for the legal existence of their personal data. Although the law provides excellent guidance, companies currently face challenges in complying with its regulations in terms of storing, sharing, or monitoring personal data. Since any specially designed software with wide industrial usage is not on the market, almost all of the companies have no other choice but to take expensive and error-prone operations manually to ensure their compliance. In this paper, we present an automated solution to facilitate and accelerate PDPR compliance. In …
Shape Investigations Of Structures Formed By The Self-Assembly Of Aromaticamino Acids Using The Density-Based Spatial Clustering Of Applications With Noise Algorithm, Mehmet Gökhan Habi̇boğlu, Helen W. Hernandez, Şahi̇n Uyaver
Shape Investigations Of Structures Formed By The Self-Assembly Of Aromaticamino Acids Using The Density-Based Spatial Clustering Of Applications With Noise Algorithm, Mehmet Gökhan Habi̇boğlu, Helen W. Hernandez, Şahi̇n Uyaver
Turkish Journal of Electrical Engineering and Computer Sciences
Tyrosine, tryptophan, and phenylalanine are important aromatic amino acids for human health. If they are not properly metabolized, severe rare mental or metabolic diseases can emerge, many of which are not researched enough due to economic priorities. In our previous simulations, all three of these amino acids are discovered to be self-organizing and to have complex aggregations at different temperatures. Two of these essential stable formations are observed during our simulations: tubular-like and spherical-like structures. In this study, we develop and implement a clustering analyzing algorithm using density-based spatial clustering of applications with noise (DBSCAN) to measure the shapes of …
Numerical Solution Of A Singularly Perturbed Fredholm Integro Differential Equation With Robin Boundary Condition, Muhammet Enes Durmaz, Gabi̇l Ami̇rali̇, Mustafa Kudu
Numerical Solution Of A Singularly Perturbed Fredholm Integro Differential Equation With Robin Boundary Condition, Muhammet Enes Durmaz, Gabi̇l Ami̇rali̇, Mustafa Kudu
Turkish Journal of Mathematics
In this paper, we deal with singularly perturbed Fredholm integro differential equation (SPFIDE) with mixed boundary conditions. By using interpolating quadrature rules and exponential basis function, fitted second order difference scheme has been constructed on a Shishkin mesh. The stability and convergence of the difference scheme have been analyzed in the discrete maximum norm. Some numerical examples have been solved and numerical outcomes are obtained.
Scattering Properties Of Impulsive Difference Dirac Equations, Şeyda Solmaz, Elgi̇z Bayram
Scattering Properties Of Impulsive Difference Dirac Equations, Şeyda Solmaz, Elgi̇z Bayram
Turkish Journal of Mathematics
In this paper, we explore the Jost solutions and the scattering matrix of the impulsive difference Dirac systems (IDDS) on the whole axis and study their analytic and asymptotic properties. Furthermore, characteristic properties of the scattering matrix of the IDDS have been examined.
Scattering Theory Of The Quadratic Eigenparameter Depending Impulsive Sturm-Liouville Equations, Güler Başak Öznur, Elgi̇z Bairamov
Scattering Theory Of The Quadratic Eigenparameter Depending Impulsive Sturm-Liouville Equations, Güler Başak Öznur, Elgi̇z Bairamov
Turkish Journal of Mathematics
We handle an impulsive Sturm-Liouville boundary value problem. We find the Jost solution, Jost function, and scattering function of this problem and examine the properties of scattering function. We also study eigenvalues and resolvent operator of this problem. Finally, we exemplify our work by taking a different problem.
Global Existence And Energy Decay For A Coupled System Of Kirchhoff Beam Equations With Weakly Damping And Logarithmic Source, Ducival Carvalho Pereira, Carlos Alberto Raposo Da Cunha, Adriano Pedreira Cattai
Global Existence And Energy Decay For A Coupled System Of Kirchhoff Beam Equations With Weakly Damping And Logarithmic Source, Ducival Carvalho Pereira, Carlos Alberto Raposo Da Cunha, Adriano Pedreira Cattai
Turkish Journal of Mathematics
This paper deals with the global solutions and exponential stability for a coupled system of Kirchhoff beam weakly damping and with a logarithmic source. We apply the potential well and establish the global well-posedness by using the Faedo--Galerkin approximations, taking into account that the initial data is located in a suitable set of stability created from the Nehari manifold. Moreover, by using Nakao's lemma, we prove the exponential stability of the solution.
On A Solvable System Of Rational Difference Equations Of Higher Order, Merve Kara, Yasi̇n Yazlik
On A Solvable System Of Rational Difference Equations Of Higher Order, Merve Kara, Yasi̇n Yazlik
Turkish Journal of Mathematics
In this paper, we present that the following system of difference equations $$ x_{n}=\frac{x_{n-k}z_{n-l}}{b_{n}x_{n-k}+a_{n}z_{n-k-l}}, \ y_{n}=\frac{y_{n-k}x_{n-l}}{d_{n}y_{n-k}+c_{n}x_{n-k-l}}, \ z_{n}=\frac{z_{n-k}y_{n-l}}{f_{n}z_{n-k}+e_{n}y_{n-k-l}}, $$ where $n\in \mathbb{N}_{0}$, $k,l\in\mathbb{N}$, the initial values $x_{-i},y_{-i},z_{-i}$ are real numbers, for $i \in \overline{1,k+l}$, and sequences $\left( a_{n}\right) _{n\in \mathbb{N}_{0}}$, $\left( b_{n}\right) _{n\in \mathbb{N}_{0}}$, $\left( c_{n}\right) _{n\in \mathbb{N}_{0}}$, $\left( d_{n}\right) _{n\in \mathbb{N}_{0}}$, $\left( e_{n}\right) _{n\in \mathbb{N}_{0}}$ and $\left( f_{n}\right) _{n\in \mathbb{N}_{0}}$ are non-zero real numbers, for all $n\in \mathbb{N}_{0}$, which can be solved in closed form. We describe the forbidden set of the initial values using the obtained formulas and also determine the asymptotic behavior of solutions for the case …
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.
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.
Composition Laws On The Fricke Surface And Markov Triples, Abdurrahman Muhammed Uludağ, Esra Ünal Yilmaz
Composition Laws On The Fricke Surface And Markov Triples, Abdurrahman Muhammed Uludağ, Esra Ünal Yilmaz
Turkish Journal of Mathematics
We determine some composition laws related to the Fricke surface and the "double" Fricke surface. This latter surface admits the squares of Markov triples as its solutions.
Necessary Conditions For Extended Spectral Decomposable Multivalued Linear Operators, Yosra Barkaoui, Maher Mnif
Necessary Conditions For Extended Spectral Decomposable Multivalued Linear Operators, Yosra Barkaoui, Maher Mnif
Turkish Journal of Mathematics
In this paper, we use subsets of the Riemann sphere and specific types of invariant linear subspaces to introduce the extended spectral decomposable multivalued linear operators (linear relations) in Banach spaces. We also introduce the extended Bishop's property, the extended relatively single-valued extension property and the extended Dunford's property. More importantly, we show that these properties are three necessary conditions for a linear relation to be extended spectral decomposable.
The Arens-Michael Envelopes Of Laurent Ore Extensions, Petr Kosenko
The Arens-Michael Envelopes Of Laurent Ore Extensions, Petr Kosenko
Turkish Journal of Mathematics
For an Arens-Michael algebra $A$ we consider a class of $A$-$\hat{\otimes}$-bimodules which are invertible with respect to the projective bimodule tensor product. We call such bimodules topologically invertible over $A$. Given a Frechet-Arens-Michael algebra $A$ and a topologically invertible Frechet $A$-$\hat{\otimes}$-bimodule $M$, we construct an Arens-Michael algebra $\widehat{L}_A(M)$ which serves as a topological version of the Laurent tensor algebra $L_A(M)$. Also, for a fixed algebra $B$ we provide a condition on an invertible $B$-bimodule $N$ which allows us to explicitly describe the Arens-Michael envelope of $L_B(N)$ as a topological Laurent tensor algebra. In particular, we provide an explicit description of …
On The Blow-Up Of Solutions To A Fourth-Order Pseudoparabolic Equation, Mustafa Polat
On The Blow-Up Of Solutions To A Fourth-Order Pseudoparabolic Equation, Mustafa Polat
Turkish Journal of Mathematics
In this note, we consider a fourth-order semilinear pseudoparabolic differential equation including a strong damping term together with a nonlocal source term. The problem is considered under the periodic boundary conditions and a finite time blow-up result is established. Also a lower bound estimate for the blow-up time is obtained.
Second Main Theorem For Meromorphic Mappings Intersecting Moving Targets On Parabolic Manifolds, Jiali Chen, Qingcai Zhang
Second Main Theorem For Meromorphic Mappings Intersecting Moving Targets On Parabolic Manifolds, Jiali Chen, Qingcai Zhang
Turkish Journal of Mathematics
In this paper, we establish a new second main theorem for meromorphic mappings from $M$ into $\mathbb{P}(V)$ intersecting moving targets $g_{j}:M\rightarrow\mathbb{P}(V^{\ast}),\ 1\leq j\leq q,$ where $M$ is a parabolic manifold and $V$ is a Hermitian vector space. As an application, we prove the algebraic dependence problem for meromorphic mappings with moving targets in general position.
Ricci-Yamabe Solitons And 3-Dimensional Riemannian Manifolds, Uday Chand De, Arpan Sardar, Krishnendu De
Ricci-Yamabe Solitons And 3-Dimensional Riemannian Manifolds, Uday Chand De, Arpan Sardar, Krishnendu De
Turkish Journal of Mathematics
In this paper, we classify 3-dimensional Riemannian manifolds endowed with a special type of vector field if the Riemannian metrices are Ricci-Yamabe solitons and gradient Ricci-Yamabe solitons, respectively. Finally, we construct an example to illustrate our result.
A Parametric Family Of Ternary Purely Exponential Diophantine Equation $A^X+B^Y=C^Z$, Yasutsugu Fujita, Maohua Le
A Parametric Family Of Ternary Purely Exponential Diophantine Equation $A^X+B^Y=C^Z$, Yasutsugu Fujita, Maohua Le
Turkish Journal of Mathematics
Let $a,b,c$ be fixed positive integers such that $a+b=c^2$, $2 \nmid c$ and $(b/p)\ne 1$ for every prime divisor $p$ of $c$, where $(b/p)$ is the Legendre symbol. Further let $m$ be a positive integer with $m>1$. In this paper, using the Baker method, we prove that if $m>\max\{10^8,c^2\}$, then the equation $(am^2+1)^x+(bm^2-1)^y=(cm)^z$ has only one positive integer solution $(x,y,z)=(1,1,2)$.
Inverse Coefficient Identification Problem For A Hyperbolic Equation With Nonlocal Integral Condition, Azizbayov Elvin
Inverse Coefficient Identification Problem For A Hyperbolic Equation With Nonlocal Integral Condition, Azizbayov Elvin
Turkish Journal of Mathematics
This paper is concerned with an inverse coefficient identification problem for a hyperbolic equation in a rectangular domain with a nonlocal integral condition. We introduce the definition of the classical solution, and then the considered problem is reduced to an auxiliary equivalent problem. Further, the existence and uniqueness of the solution of the equivalent problem are proved using a contraction mapping principle. Finally, using equivalency, the unique existence of a classical solution is proved.