Adiyaman University Journal of Science

In this paper, we study congruence of curves in Weyl-Otsuki spaces using the Ricci's coefficients of that congruence in orthogonal case. We first prove that the Ricci’s coefficients determine the regular general connection of an Otsuki space. Then we give the condition for these coefficients in Weyl-Otsuki spaces to be skew-symmetric in the first two indices as in Riemannian spaces. We obtain the necessary and sufficient conditions for the curves of a congruence to be geodesic, normal and irrotational, respectively. Finally, we prove that if a congruence satisfy the equation, and any two of the conditions that to be geodesic, normal and irrotational, then it also satisfies the other third one.

Beran Pirinççi

Adıyaman üniversitesi fen bilimleri dergisi

Congruence of Curves in Weyl-Otsuki Spaces

Weyl-Otsuki空间中曲线的重合性

In this paper, by using identities related to the tessarines, Fibonacci numbers and Lucas numbers we define Fibonacci tessarines and Lucas tessarines. We obtain Binet formulae, D’ocagnes identity and Cassini identity for these tessarines. We also give the identities of Fibonacci negatessarines and Lucas negatessarines and define new vector which are called Fibonacci tessarine vector.

Faik BABADAĞ

Merve USLU

A new approach to Fibonacci Tessarines with Fibonacci and Lucas number components

斐波那契四元数的一种新方法及其斐波那契与卢卡斯数成分

In this article, we define ordered weakly θ-contractive and ordered Ciric type weakly θ-contractive mappings in partially ordered metric spaces and introduce some fixed point theorems for such mappings. These theorems extend the main theorems of many comparable results from the current literature. Finally, an example is showed to support the new theorems. Bu makalede, kısmi sıralı metrik uzaylarda sıralı zayıf θ-daralma ve sıralı kirik tipi zayıf θ-daralma dönüşümleri tanımlıyoruz ve bu tür dönüşümler için bazı sabit nokta teoremlerini tanıtıyoruz. Bu teoremler, mevcut literatürden birçok karşılaştırılabilir sonucun ana teoremlerini genişletir. Son olarak, yeni teoremleri destekleyen bir örnek gösterildi.

Seher Sultan YEŞİLKAYA

Fixed Points for Generalized Type Contractions in Partially Ordered Metric Spaces

部分有序度量空间中广义型收缩的固定点

The present research explores, the modified exp -expansion function method (MEFM) is tested by applying it to obtain the exact travelling wave solutions for the simplified MCH equation and the Getmanou equation. Dark optical soliton solutions and dark-bright optical soliton solutions of the simplified MCH equation and the Getmanou equation are successfully constructed by using this method. We carry out all the computations and draw the 2D and 3D graph in this paper by Wolfram Mathematica 9. Besides, the graphical representation obviously shows forcefulness of this method.

Şeyma TÜLÜCE DEMİRAY

Sevgi KASTAL

The Modified Exp (-vartheta(sigma)) -Expansion Function Method For Exact Solutions Of The Simplified MCH Equation And The Getmanou Equation

修正的Exp(-vartheta(sigma)) -展开函数法用于简化MCH方程和Getmanou方程的精确解

In this study, the (3+1)-dimensional Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation, which is a mathematical model of non-absorption and dispersion in the non-linear medium, which sheds light on the sound beam phenomenon, which has a physically important place, is examined. In order to find the exact solution of this equation, an effective and reliable method, (G^'/G,1/G)-expansion method, is used among analytical methods. The purpose of this method is to obtain more than one traveling wave solution classes depending on the conditions of the λ parameter. These classes are categorized into hyperbolic, trigonometric, complex trigonometric and rational forms. The graphics of the solitary waves represented by these successfully obtained solution classes are presented as 2-dimensional, 3-dimensional and contours. This article makes use of ready-made package programs for complex arithmetic operations and graphic drawings.

Hülya DURUR

Serbay DURAN

Asıf YOKUŞ

Solitary Wave Solutions of the (3+1)-dimensional Khokhlov–Zabolotskaya–Kuznetsov Equation by using the (G'/G,1/G)-Expansion Method

利用(G'/G,1/G)-展开法求解(3+1)维Khokhlov-Zabolotskaya-Kuznetsov方程的孤波解

ADAMTS-3 is a procollagen amino proteinase mainly expressed in type II collagen-rich tissues and its primary function is to maturate amino ends of the type II collagen precursors. This maturation process allows correct fibril formation. ADAMTS-3 also has a tumor-suppressive function by regulating the fibronectin expression in the ECM. C/EBPα is a transcription factor playing a pivotal role in the cell cycle regulation. Dysregulations in the C/EBPα expression have been reported in solid tumors. C/EBPα expression has been identified to be associated with the metabolism and prognosis of a malignant bone tumor, osteosarcoma (OS). High heterogeneity, metastasis capability, and recurrence lead to poor prognosis and survival rates in OS. Multiple genetic and epigenetic factors affect OS development. Alterations in the ECM elements are closely related to OS development and progression. According to the in-silico analyses, the ADAMTS-3 promoter includes multiple C/EBPα binding sites suggesting that C/EBPα could have a regulatory effect on ADAMTS-3 transcriptional regulation. In the present study, over-expression of the C/EBPα decreased ADAMTS-3 mRNA and protein levels in Saos-2 and MG-63 osteosarcoma models. Ectopic expression of the C/EBPα also led to alterations in some fibrillar collagen expression levels. Enhanced C/EBPα levels resulted in an increase in the type I and II collagen expression levels but didn’t change the type III collagen expression level in Saos-2 cells.

Meltem Alper

Tugsen Aydemir

Feray Köçkar

C/EBPα Mediated Transcriptional Regulation of Human ADAMTS-3 Gene and Collagen Expression in Osteosarcoma Cells

C/EBPα介导的人ADAMTS-3基因和骨肉瘤细胞中胶原蛋白表达的转录调控

This study aims to produce lithium aluminate (LiAlO2) materials as dense ceramics by the sol-gel method and to examine their structural and luminescence properties for radiation dosimetry applications. The crystal structures of ceramics synthesized using the XRD method were confirmed and their morphological properties were examined using SEM analysis. The defect concentrations and lattice parameters of LiAlO2 were also discussed in depth. It has been found that LiAlO2 ceramics have a total of three exponential decay function components that decay OSL signals fast, medium and slow. The TL glow curve of the material exhibited two TL peaks located around 110 and 200 °C. An intense luminescence band around 700 nm was found in RL and TL emissions, which is attributed to oxygen vacancies in the structure. Obtaining promising luminescence signals for passive dosimetry from LiAlO2 samples in this study may make them a candidate dosimeter for radiation dosimetry applications with further studies to be conducted in the future.

Volkan Altunal

Structural and Luminescence Characterization of LiAlO2 Ceramics Synthesized by Sol-Gel Technique

溶胶-凝胶法制备LiAlO2陶瓷的结构与发光特性表征

In this study, two new spinor sequences using spinor representations of Jacobsthal and Jacobsthal-Lucas quaternions are defined. Moreover, some formulas such that Binet, Cassini, sum formulas and generating functions of these spinor sequences, which are called as Jacobsthal and Jacobsthal-Lucas spinor sequences, are expressed. Then, the some relationships between Jacobsthal and Jacobsthal-Lucas spinors are obtained. Therefore, an easier and more interesting representation of Jacobsthal and Jacobsthal-Lucas quaternions, which are generalization of Jacobsthal and Jacobsthal-Lucas number sequences, are obtained. We believe that these new spinor sequences will be useful and advantageable in many branches of science, such as geometry, algebra and physics.

Tülay Erişir

Mehmet Ali Güngör

On New Spinor Sequences of Jacobsthal and Jacobsthal-Lucas Quaternions

关于雅可比斯特尔和雅可比斯特尔-卢卡斯四元数的新的旋量序列

This study investigated the effect of Type I co-agents Zinc Acrylate (ZDA), Zinc Methacrylate (ZDMA) and Type II co-agents Triallyloxy-1,3,5-triazine (TAC), and 1,3,5-triallyl-1,3,5- triazine (TAIC) on the curing kinetics of vinyl methyl polysiloxane (VMQ) and phenyl vinyl methyl polysiloxane (PVMQ) elastomers. 2,5-Dimethyl-2,5-di(tertiary-butylperoxyl) hexane (DBPH) was used as a crosslinker. The rheological analyses were performed with a Moving Die Rheometer (MDR) at four different temperatures. Cure curves were evaluated according to 1th and nth curing kinetics and curing rate constant (k), reaction degree (n), and activation energy (Ea) values were calculated. When the results were evaluated, it was seen that the k, rate constant increased with the addition of TAC, TAIC, and ZDA in the compounds, whereas the k, rate constant value decreased with the use of ZDMA. It is thought that the reason for this is that ZDMA forms a more stable 3° radical due to the methyl group in its structure. ZDA was found to be the accelerator that increased the cure rate of PVMQ and VMQ. When the activation energies obtained were examined, it was seen that the activation energies for PVMQ were higher than the energies obtained for VMQ. The reason for this was attributed stabilization of free radicals by the phenyl group in the structure of the PVMQ

Davut Aksüt

Elif Kaymazlar

Murat Şen

Effect of co-agent type on curing kinetics of vinyl-methyl siloxane and phenyl-vinyl-methyl siloxane elastomers

共引发剂类型对乙烯基甲基硅氧烷和苯基乙烯基甲基硅氧烷弹性体固化动力学的影响

出版信息	出版商: Adiyaman University，出版周期: ，期刊类型: journal，开源期刊: 否
基本数据	创刊年份: 2019，原创研究文献占比: ，自引率:， Gold OA占比:

Adiyaman University Journal of Science

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Congruence of Curves in Weyl-Otsuki Spaces

A new approach to Fibonacci Tessarines with Fibonacci and Lucas number components

Fixed Points for Generalized Type Contractions in Partially Ordered Metric Spaces

The Modified Exp (-vartheta(sigma)) -Expansion Function Method For Exact Solutions Of The Simplified MCH Equation And The Getmanou Equation

Solitary Wave Solutions of the (3+1)-dimensional Khokhlov–Zabolotskaya–Kuznetsov Equation by using the (G'/G,1/G)-Expansion Method

Congruence of Curves in Weyl-Otsuki Spaces

C/EBPα Mediated Transcriptional Regulation of Human ADAMTS-3 Gene and Collagen Expression in Osteosarcoma Cells

Structural and Luminescence Characterization of LiAlO2 Ceramics Synthesized by Sol-Gel Technique

On New Spinor Sequences of Jacobsthal and Jacobsthal-Lucas Quaternions

Effect of co-agent type on curing kinetics of vinyl-methyl siloxane and phenyl-vinyl-methyl siloxane elastomers

ISSN	2146-586X, 2147-1630
h-index	6