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An invariant of regular isotopy for disoriented links

İsmet ALTINTAŞ

Article | 2023 | Turkish Journal of Mathematics47 ( 1 )

In this paper, we define a two-variable polynomial invariant of regular isotopy, M_K for a disoriented link diagram K. By normalizing the polynomial M_K using complete writhe, we obtain a polynomial invariant of ambient isotopy, N_K, for a disoriented link diagram K. The polynomial N_K is a generalization of the expanded Jones polynomial for disoriented links and is an expansion of the Kauffman polynomial F to the disoriented links. Moreover, the polynomial M_K is an expansion of the Kauffman polynomial L to the disoriented links.

Efficient in vitro plant regeneration from immature embryos of endemic Iris sari and I. schachtii

Ali İrfan İLBAŞ

Article | 2014 | Turkish Journal of Agriculture and Forestry38 ( 3 )

Plant tissue culture is an efficient technique for conserving endemic plant species. A reproducible in vitro regeneration protocol was developed for the endemic Iris sari and Iris schachtii in the present study. The highest number of shoots per explant was obtained on Murashige and Skoog (MS) medium supplemented with 0.5 mg/L thidiazuron (TDZ) plus 0.5 mg/L α-naphthaleneacetic acid (NAA) and 1 mg/L TDZ plus 0.5 mg/L NAA, whereby 96.88% and 100% shoot induction with 9.55 and 11.34 shoots per explant of Iris sari and Iris schachtii were recorded, respectively. Regenerated shoots were successfully rooted on MS medium with either 1 mg/L . . . indole-3-butyric acid (IBA) or 1 mg/L IBA plus 0.2 mg/L NAA. Rooted shoots were transferred to pots containing either a peat-soil-sand (1:1:1) mixture or a hydroponic culture containing Hoagland solution to acclimatize the regenerated plants to the greenhouse chamber. Approximately 90% of plants were transferred ex vitro successfully. - Keywords: Endemic species, immature embryo, in vitro regeneration, Iris sari, Iris schachtii More less

The Fekete-Szegö inequality for subclasses of analytic functions related to modified Sigmoid functions

Muhammet KAMALİ

Article | 2020 | Turkish Journal of Mathematics44 ( 3 )

In this paper, the authors investigate the initial coefficient bounds for a new generalized subclass of analytic functions related to Sigmoid functions. Also, the relevant connections with the famous classical Fekete?Szegö inequality for these classes are discussed.

The inequalities on dual numbers and their topological structures

Olgun DURMAZ

Article | 2023 | Turkish Journal of Mathematics47 ( 5 )

Inequalities are frequently used in various fields of mathematics to prove theorems. The existence of inequalities contributes significantly to the foundations of such branches. In this paper, we study the properties of order relations in the system of dual numbers, which is inspired by order relations defined on real numbers. Besides, some special inequalities that are used in various fields of mathematics, such as Cauchy-Schwarz, Minkowski, and Chebyshev are studied in this framework. An example is also provided to validate our research findings. Keywords: dual numbers; dual absolute value; dual inequalities; dual norm

Morphometric development and changes in the growth and development dynamics of Japanese quail populations bred in Kyrgyzstan

Askarbek TÜLÖBAEV | Hasan ALPAK

Article | 2012 | Turkish Journal of Veterinary and Animal Sciences36 ( 4 )

The purpose of the present study was to determine the live weight development phases from hatchling to adolescent bird of Japanese quails bred in Kyrgyzstan, and to determine the age-related changes in body measurements. Adolescent birds were found to have a body length (distance between first vertebra thoracalis to end of sacrum) coefficient of 3.0, a sternum front to rear end length coefficient of 3.3, a tibia length of 2.34, and a pelvic width (distance between right and left acetabulum) coefficient of 1.58. This indicates good development of the quails Keywords: Growth and development, live weight, body measurements, growth coef . . .ficient, quai More less

Effect of Mg doping on morphology, photocatalytic activity and related biological properties of Zn1-xMgxO nanoparticles

İbrahim İlker ÖZYİĞİT

Article | 2020 | Turkish Journal of Chemistry44 ( 4 )

The objective of this study is to synthesize ZnO and Mg doped ZnO (Zn1-xMgxO) nanoparticles via the sol-gel method, and characterize their structures and to investigate their biological properties such as antibacterial activity and hemolytic potential.Nanoparticles (NPs) were synthesized by the sol-gel method using zinc acetate dihydrate (Zn(CH3COO)(2) .2H(2)O) and magnesium acetate tetrahydrate (Mg(CH3COO)(2) .4H(2)O) as precursors. Methanol and monoethanolamine were used as solvent and sol stabilizer, respectively. Structural and morphological characterizations of Zn1-xMgxO nanoparticles were studied by using XRD and SEM-EDX, resp . . .ectively. Photocatalytic activities of ZnO and selected Mg-doped ZnO (Zn1-xMgxO) nanoparticles were investigated by degradation of methylene blue (MeB). Results indicated that Mg doping (both 10?nd 30?to the ZnO nanoparticles enhanced the photocatalytic activity and a little amount of Zn0.90Mg0.10O photocatalyst (1.0 mg/mL) degraded MeB with 99?fficiency after 24 h of irradiation under ambient visible light. Antibacterial activity of nanoparticles versus Escherichia coli (E. coli) was determined by the standard plate count method. Hemolytic activities of the NPs were studied by hemolysis tests using human erythrocytes. XRD data proved that the average particle size of nanoparticles was around 30 nm. Moreover, the XRD results indicated that the patterns of Mg doped ZnO nanoparticles related to ZnO hexagonal wurtzite structure had no secondary phase for x More less

Fekete-Szego problem for a new subclass of analytic functions satisfying subordinate condition associated with Chebyshev polynomials

Muhammet KAMALİ

Article | 2021 | Turkish Journal of Mathematics45 ( 3 )

In this paper,we define a class of analytic functions F-(beta,lambda()) (H, alpha, delta, mu), satisfying the following subordinate condition associated with Chebyshev polynomials {alpha[zG' (z)/G (z)](delta) + (1 - alpha) [zG' (z)/G (z)](mu) [1 + zG '' (z)/G' (z)](1-mu)} < H (z, t), where G(z) = lambda beta z(2)f '' (z) + (lambda - beta) zf' (z) + (1 - lambda + beta) f (z) , 0

Checklist of Turkish Raphidioptera on the basis of distribution pattern and biogeographical analysis

Savaş CANBULAT

Article | 2015 | Turkish Journal of Zoology39 ( 2 )

An updated checklist of the species of Turkish Raphidioptera and further analysis concerning their zoogeographical distribution are presented in this study. The present checklist has been based on studies from the literature and includes records from extensive material that I have identified over the last few years. The Turkish Raphidioptera presently comprises 40 species in 8 genera and 2 families. There are 38 species of Raphidiidae, while there are only 2 species of Inocelliidae in Turkey. Among these species, 19 species are recorded as endemic and the endemism rate is 47.5%. Distributions of these species within Turkey are given . . . according to data provided from 81 provinces of the country. Three species have been known only from the type locality, whereas the other species have been recorded from various parts of the country. Analyses of the species of Turkish snakeflies were based on their origins. The faunal assemblage is represented by 28 taxa from Mediterranean, 8 species from Pontocaspian, 2 species from Syrian, 1 species from Cyprio-Syrian, and 1 species from Euro-Siberian elements in the Turkish fauna. Mediterranean subregion species are the most dominant constituents representing characteristic features of the fauna (70%), and 8 species are widely distributed in the Pontocaspian subregion (20%). The elements of the Mediterranean subregion of Turkey's fauna are represented by 4 groups: 20 taxa from Anatolopontomediterranean, 6 species from Balkanopontomediterranean, and 2 species from Pontomediterranean faunal elements. Taxa are arranged hierarchically under the categories of family, genus, subgenus, and species. The addition of examined material turns this manuscript into an original contribution on the Turkish fauna, with new records of species of Raphidioptera in some provinces. The investigated specimens, of 40 in total, belong to 15 species. First records are 16, concerning 9 species and 11 provinces. - Keywords: Raphidioptera, checklist, zoogeography, endemism, Turkey More less

Bernstein-Walsh-type inequalities for derivatives of algebraic polynomials on the regions of complex plane

Fahreddin ABDULLAYEV

Article | 2022 | Turkish Journal of Mathematics46 ( 7 )

In this paper, we study Bernstein-Walsh-type estimates for the derivatives of an arbitrary algebraic polynomial on some general regions of the complex plane.

Synthesis and structural and electrochemical characterization of novel macrocyclic vic-dioxime ligand and its mononuclear transition and nontransition metal complexes

Ali Osman SOLAK

Article | 2012 | Turkish Journal of Chemistry36 ( 1 )

The reaction of N-(4-aminophenyl)aza-15-crown-5 (1) with anti-chlorophenylglyoxime (2) produces a novel azacrown ether containing vic-dioxime, N-(4-aminophenyl)aza-15-crown-5-phenylglyoxime (LH_2). LH_2 reacts with Ni(II), Cu(II), Co(II), Cd(II), and Zn(II) ions to yield the mononuclear transition and nontransition metal complexes [M(LH)_2] (M = Ni and Cu), [M(LH)_2(H_2O)_2] (M = Co), and [M(LH)(H_2O)(Cl)] (M = Cd and Zn). The structural features of LH_2 were studied using several techniques including elemental analysis, Fourier transform infrared spectroscopy (FT-IR), ultraviolet visible (UV-Vis), mass spectrometry (MS), 1-dimensi . . .onal (1D) ^1H-NMR and ^{13}CNMR, distortionless enhancement by polarization transfer (DEPT) 2-dimensional (2D) heteronuclear single-quantum coherence (HSQC), and heteronuclear multiple-bond correlation (HMBC) techniques. The structures of the complexes were confirmed by elemental analyses and with the use of magnetic susceptibility measurements, MS, UV-Vis, FT-IR, ^1H-NMR, and ^{13}C-NMR techniques. The redox behaviors of the ligand and its complexes were verified with cyclic voltammetry (CV) at a glassy carbon (GC) electrode in 0.1 M tetrabutylammoniumtetrafluoroborate (TBATFB) in dimethyl sulfoxide (DMSO). - Keywords: vic-Dioxime, azacrown ether, transition metal complexes, mass spectroscopy, cyclic voltammetr More less

Hadoop framework implementation and performance analysis on a cloud

Göksu Zekiye ÖZEN | Rayımbek SULTANOV

Article | 2017 | Turkish Journal of Electrical Engineering and Computer Sciences25 ( 2 )

Hadoop framework uses MapReduce programming paradigm to process big data by distributing data across a cluster and aggregating. MapReduce is one of the methods used to process big data hosted on large clusters. In this method, jobs are processed by dividing into small pieces and distributing over nodes. Parameters such as distributing method over nodes, the number of jobs held in a parallel fashion and the number of nodes in the cluster affect the execution time of jobs. The aim of this paper is to determine how number of nodes, maps and reduces affect the performance of Hadoop framework on a cloud environment. For this purpose, tes . . .ts were carried out on a Hadoop cluster with 10 nodes hosted on a cloud environment by running PiEstimator, Grep, Teragen and Terasort benchmarking tools on it. These benchmarking tools available under Hadoop framework are classified as CPU-intensive and CPU-light applications as a result of tests. In CPU-light applications; increasing number of nodes, maps and reduces do not improve efficiency of these applications, even they cause increase of time spent on jobs by using system resources unnecessarily. Therefore, in CPU-light applications, selecting number of nodes, maps and reduces as minimum are found as the optimization of time spent on a process. In CPU-intensive applications, according to the phase that small job pieces are processed, it is found that selecting number of maps or reduces equal to total number of CPUs on a cluster as the optimization of time spent on a process.- Keywords: Big Data, Hadoop, Cloud Computing, MapReduce, KVM Virtualization Environment, Benchmarking Tools, Ganglia. More less

Compactness of soft cone metric space and fixed point theorems related to diametrically contractive mapping

İsmet ALTINTAŞ

Article | 2020 | Turkish Journal of Mathematics44 ( 6 )

In this article, we describe the concepts such as sequentially soft closeness, sequential compactness, totally boundedness and sequentially continuity in any soft cone metric space and prove their some properties. Also, we examine soft closed set, soft closure, compactness and continuity in an elementary soft topological cone metric space. Unlike classical cone metric space, sequential compactness and compactness are not the same here. Because the compactness is an elementary soft topological property and cannot be defined for every soft cone metric space. However, in the restricted soft cone metric spaces, they are the same. Additi . . .onally, we prove some fixed point theorems related to diametrically contractive mapping in a complete soft cone metric space More less

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