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THE PICARD THEOREM ON S-METRIC SPACES

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Acta Mathematica Scientia 2018年第4期38卷 1245-1258页

作者： Nihal Yihnaz OZGUR Nihal TAS Department of Mathematics Balikesir University 10145 Balikesir Turkey

Recently, the notion of an S-metric space is defined and extensively studied as a generalization of a metric space. In this paper, we define the notion of the S∞-space and prove its completeness. We obtain a new gene... 详细信息

关键词： S∞-space completeness Picard Theorem initial value problem

Mathematical Modeling of Carbon Content and Intercritical Annealing Temperature in DP Steels by Factorial Design Method

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Journal of Iron and Steel Research International 2014年第7期21卷 715-722页

作者： Gülcan TOKTAS Alaaddin TOKTAS Aslan Deniz KARAOGLAN Department of Mechanical Engineering Balikesir University Department of Industrial Engineering Balikesir University

2k factorial design is employed to find the mathematical relation between the carbon content and intercritical annealing temperature （IAT） in order to predict the responses namely martensite volume fraction （MVF）, microhardness （H）, yield strength （YS）, ultimate tensile strength （UTS）, total elongation （TEL）, yield ratio （YR） and Charpy impact energy （CIE） in dual phase （DP） steels. Steels containing different carbon contents （0.085% C and 0.380% C） had been chosen for this purpose. The main advantages of factorial design are its easy implementation and the effective computation compared with the other optimization techniques, which were employed for predicting mentioned responses in the literature. To verify the proposed approach based on factorial design, experiments for verification were performed. The results of the verification experiments and the mathematical models are in accordance with each other and the literature.

关键词： dual phase steel factorial design material property prediction carbon content intercritical annealingtemperature

Anisian(Middle Triassic)Conodonts of the Kocaeli Triassic,Western Turkey

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Journal of Earth Science 2021年第3期32卷 616-632页

作者： Ali Murat Kilic Department of Geological Engineering Faculty of EngineeringBalikesir UniversityBalikesirTurkey

The present study of Anisian(Middle Triassic)conodonts from the Kocaeli Peninsula(western Turkey)encompasses over 10 species of the families Gondolellidae and Gladigondolellidae,providing Early and Middle Triassic time constraints,Chiosella timorensis(Nogami,1968);Cornudina oezdemirae Gedik,1975;Gladigondolella tethydis(Huckriede,1958);Neostrachanognathus tahoensis Koike,1998;Paragondolella aegaea(Bender,1970);Paragondolella bulgarica Budurov and Stefanov,1975;Nicoraella kockeli(Tatge,1956);***(Sudar and Budurov,1979),and Gladigondolella *** established are Paragondolella hirschii *** and Budurov;*** *** ,Budurov,Petrunova and Mirauta;and *** ***.K?l??.The Kocaeli Anisian conodonts show a faunal affinity with *** present Anisian fauna is characteristic of the *** strong homeomorphy that characterizes the Anisian in western North America is discussed.

关键词： Triassic Anisian Aegean Bithynian conodonta Gebze(Kocaeli)

Note on Lower Triassic Gondolelloid Conodont Rediversifications with Emphasis on the Spathian Recovery

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Journal of Earth Science 2024年第4期35卷 1236-1242页

作者： Ali Murat Kilic Department of Geological Engineering Faculty of EngineeringBalikesir UniversityBalikesir99100Turkey

Conodonts,as a biotic group,next to ammonoids,pollen and spores,crustaceans and vertebrates,provide proxy clues for environment and age assessments of the rocks in which they *** are widely used for Triassic marine ***,there are various discussions about their multielement taxonomy and evolutionary lineages(e.g.,generation,speciation).Although first studies reported that most Triassic conodont species were unimembrate,studies carried out in the following years maintained that all Triassic conodonts were *** statistical reconstructions of a number of Triassic apparatuses were attempted,the discovery of fused clusters and natural assemblages has subsequently demonstrated that Triassic conodonts are indeed multimembrate,and all of the elements exist together in the same *** present paper aims to clarify the evolutionary relationship and array of some Lower Triassic *** dagisi *** described.

关键词： Triassic Spathian conodont Columbitella Siberia environmental geology

Principal Congruence Subgroups of Hecke Groups H(q^(1/2))

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Acta Mathematica Sinica,English Series 2006年第2期22卷 383-392页

作者： Nihal YILMAZ ZGüR Department of Mathematics Balikesir University

Using the notion of quadratic reciprocity, we discuss the principal congruence subgroups of the Hecke groups H（√q）,q 〉 5 prime number.

关键词： Hecke group Principal congruence subgroup Congruence subgroup

Predictive value of pupillography on intraoperative floppy iris syndrome in preoperative period

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International Journal of Ophthalmology(English edition) 2021年第7期14卷 1018-1024页

作者： Gozde Sahin Vural Mehmet Vural Department of Ophthalmology Balikesir University Medicine FacultyBalikesir 10100Turkey Department of Ophthalmology Balikesir Ataturk State HospitalBalikesir 10020Turkey

AIM: To present the frequency of intraoperative floppy iris syndrome(IFIS) in cataract patients who taking alpha 1-a receptor antagonist(ARA) drugs, and evaluate the predictive value of pupil diameter(PD) changes in IFIS ***: Male cataract patients who are under treatment with alpha-1 a-ARAs(alfuzosin, tamsulosin) intraoperatively were evaluated and were grouped as with/without IFIS. The preoperative PD values were compared with controls. Also, the intraoperative manipulations and early/late complications were ***: A total of 77 patients(77 eyes) of 94 benign prostate hyperplasia(BPH) patients have been defined as IFIS(81.91%) and 40 patients(40 eyes) were taking tamsulosin and 37 patients(37 eyes) were taking alfuzosin. During the cataract surgery, the rate of posterior capsular rupture(P=0.754), vitreous loss(P=0.585), iris tears(P=0.004), and iris catching(P=0.000) were higher in IFIS group, but the difference was significant only in the iris catching. At the postoperative first-month visit, persistent IOP rise and iris stromal tears were more frequent in IFIS group, but the difference was not significant(P=0.311, P=0.146;respectively). In contrast, Descemet membrane detachment was insignificantly more frequent in controls(P=0.311). In IFIS and control patients, PDs were 9.54±1.78 and 9.72±1.57 mm(P=0.255) under scotopic illumination, 8.54±1.43 and 8.74±1.25 mm(P=0.289) under mesopic illumination, 6.99±1.35 and 7.27±1.39 mm(P=0.662) under photopic illumination, respectively. However PDs were lower in IFIS under all illumination degrees, no significant difference was detected between ***: IFIS is a significant clinical syndrome with an increased intraoperative/postoperative complication ratio. The prediction of this syndrome is important because of prevention required precautions against possible complications. There is no association between IFIS and preoperative PD.

关键词： cataract intraoperative floppy iris syndrome pupillography alpha-1 adrenergic receptor antagonists

Comparison of pre-treatment and post-treatment use of selenium in retinal ischemia reperfusion injury

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International Journal of Ophthalmology(English edition) 2015年第2期8卷 263-268页

作者： Alper Yazici Hasan Aksit Esin Sogutlu Sari Arzu Yay Haydar Ali Erken Dilek Aksit Harun Cakmak Kamil Seyrek Sitki Samet Ermis Department of Ophthalmology Faculty of MedicineBalikesir University Department of Biochemistry Faculty of VeterinaryBalikesir University Department of Histology and Embryology Faculty of Medicine Erciyes University Department of Physiology Faculty of Medicine Balikesir University Department of Pharmacology Faculty of VeterinaryBalikesir University Department of Ophthalmology Faculty of Medicine Adnan Menderes University Department of Biochemistry Faculty of Medicine Balikesir University

AIM: To investigate the effects of selenium in rat retinal ischemia reperfusion(IR) model and compare pretreatment and post-treatment ***: Selenium pre-treatment group(n =8) was treated with intraperitoneal(i.p.) selenium 0.5 mg/kg for7 d and terminated 24 h after the IR injury. Selenium posttreatment group( n = 8) was treated with i. p. selenium0.5 mg/kg for 7d after the IR injury with termination at the end of the 7d period. Sham group(n =8) received *** injections identical to the selenium volume for 7d with termination 24 h after the IR injury. Control group(n =8) received no intervention. Main outcome measures were retina superoxide dismutase(SOD), glutathione(GSH),total antioxidant status(TAS), malondialdehyde(MDA),DNA fragmentation levels, and immunohistological apoptosis ***: Compared to the Sham group, selenium pre-treatment had a statistical difference in all parameters except SOD. Post-treatment selenium also resulted in statistical differences in all parameters except the MDA levels. When comparing selenium groups, the pre-treatment selenium group had a statistically higher success in reduction of markers of cell damage such as MDA and DNA fragmentation. In contrast, the post-selenium treatment group had resulted in statisticallyhigher levels of GSH. Histologically both selenium groups succeeded to limit retinal thickening and apoptosis. Pre-treatment use was statistically more successful in decreasing apoptosis in ganglion cell layer compared to post-treatment ***: Selenium was successful in retinal protection in IR injuries. Pre-treatment efficacy was superior in terms of prevention of tissue damage and apoptosis.

关键词： retina selenium ischemia-reperfusion apoptosis pre-treatment post-treatment oxidative stress

TRIGONOMETRIC APPROXIMATION IN REFLEXIVE ORLICZ SPACES

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Analysis in Theory and Applications 2011年第2期27卷 125-137页

作者： Ali Guven balikesir university

The Lipschitz classes Lip（a,M） ,0 〈 a 〈 1 are defined for Orlicz space generated by the Young function M, and the degree of approximation by matrix transforms of f E Lip（or,M） is estimated by n-a.

关键词： Lipschitz class matrix transform modulus of continuity Nolund transform Orlicz space

Approximation Properties of Julia Polynomials

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Acta Mathematica Sinica,English Series 2007年第7期23卷 1303-1310页

作者： Daniyal M.ISRAFILOV Burcin OKTAY Department of Mathematics Faculty of Art and SciencesBalikesir University

Let G be a finite simply connected domain in the complex plane C, bounded by a rectifiable Jordan curve L, and let w = φ0 （z） be the Riemann conformal mapping of G onto D （0, r0）：= {E-mail：：｜｜〈 r0}, normalized by the conditions φ0 （z0） = 0, φ＇0 （z0） = 1.In this work, the rate of approximation of φ0 by the polynomials, defined with the help of the solutions of some extremal problem, in a closed domain G is studied. This rate depends on the geometric properties of the boundary L.

关键词： conformal mapping extremal polynomials bounded boundary rotation Dini-smooth boundary