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Start Over Author "Oruç, S." Language turkish
2 results on '"Oruç, S."'

1. A characterization of conchoid curves and surfaces in euclidean spaces

Author

Oruç, S. Neslihan, Bulca, Betül, and Bursa Uludağ Üniversitesi/Fen Bilimleri Enstitüsü/Matematik Anabilim Dalı.

Subjects
Conchoid, Pascal limaçonu, Surface of revolution, Dönel yüzey, Mean curvature, Gaussian curvature, Ortalama eğrilik, Limacons pascal, Gauss eğriliği
Abstract

Bu tez çalışmasında Öklid uzayındaki conchoid eğrileri ve yüzeyleri ele alınmıştır. Bu tez dört bölümden oluşmaktadır. Birinci bölüm giriş bölümüdür. İkinci bölümde bu çalışmanın ilerleyen bölümlerinde kullanılacak olan Öklid uzayındaki eğri ve yüzeylerle ilgili bazı temel tanımlar ve kavramlar ele alınmıştır. Üçüncü bölümde düzlemde ve 3-boyutlu uzayda conchoid eğrileri tanımlanmıştır. Ayrıca bu eğrilerin eğrilikleri hesaplanıp bunlarla ilgili sonuçlar verilmiştir. Elde edilen sonuçlara göre bazı örnekler verilip grafikleri çizdirilmiştir. Dördüncü bölümde 3 ve 4-boyutlu Öklid uzayında conchoidal yüzeyler çalışılmıştır. İlk olarak 3-boyutlu Öklid uzayında daha önceden verilen conchoidal yüzey tanımına bağlı olarak eğrilikleri ile ilgili sonuçlar elde edilmiştir. Ayrıca 3-boyutlu uzayda bir conchoid eğrisinin döndürülmesi ile elde edilen dönel yüzey ile ilgili sonuçlar verilip grafikleri çizdirilmiştir. Son olarak 4-boyutlu Öklid uzayındaki conchoidal yüzey tanımı verilip bu yüzeylerin düz ve minimal olmaları ile ilgili sonuçlar elde edilmiştir. Ayrıca 4-boyutlu uzayda rotasyonel yüzeyler ve meridyen yüzeylerinin conchoidal yüzey olması örnek olarak verilmiştir. In this thesis, conchoid curves and surfaces in Euclidean space are considered. This thesis consists of four chapters. The first chapter is the introduction. The second chapter contains some well-known definitions and terms about curves and surfaces in Euclidean space which will be used in other chapters. In the third chapter, conchoid curves are defined on plane and 3- dimensional Euclidean space. Furthermore, the curvatures of these curves are calculated and the results are given. According to the results, some examples are given and plot their graphics. In the fourth chapter, conchoidal surfaces are studied in 3 and 4- dimensional Euclidean space. Firstly, in the 3- dimensional Euclidean space, the results of the curvature of the conchoidal surface are obtained. Also, the results are given of the surface of revolution obtained by rotating a planar conchoid curve in 3- dimensional space and are plotted the graphics of the surface. Finally, the definition of the conchoidal surface in the 4- dimensional Euclidean space is given. Also some results are obtained that these surfaces become flat and minimal. In the last part the rotational surfaces in the 4- dimensional space and the meridian surfaces are conchoidal surfaces are given as examples.

Published
2019

2. [Effects of COPD on cognitive functions: a case control study].

Author

Sarınç Ulaşlı S, Oruç S, Günay E, Aktaş O, Akar O, Koyuncu T, and Ünlü M

Subjects
Aged, Case-Control Studies, Cognition physiology, Cognition Disorders diagnosis, Female, Humans, Male, Middle Aged, Psychometrics, Pulmonary Disease, Chronic Obstructive psychology, Severity of Illness Index, Cognition Disorders etiology, Health Status, Pulmonary Disease, Chronic Obstructive complications
Abstract

Introduction: Assessment of disease severity, effects of disease on health status and future events should be considered to direct treatment strategies in chronic obstructive pulmonary disease (COPD) management. Although extrapulmonary effects of COPD are well known, effects of COPD on cognitive functions have not been evaluated sufficiently. therefore we aimed to determine cognitive functions of copd patients in the present study., Materials and Methods: 112 COPD patients with moderate, severe and very severe irreversible airway obstruction and 44 age matched healthy subjects without COPD and systemic diseases as control group were enrolled to the study. Mini mental state examination (MMSE) was performed to evaluate cognitive functions. MMSE results were compared between patient and control groups. Moreover relationship between exacerbation frequency and cognitive functions was evaluated., Results: Total 156 subjects as 112 COPD patients and 44 healthy subjects were included to the study. Mean age of COPD patients was 65.03 ± 7.63 years, and mean age of control group was 63.63 ± 8.96 years (p= 0.364). Mean score of MMSE in COPD patients was 23.8 ± 4.39, and mean score of MMSE in control group was 26.7 ± 2.88. We determined a significant difference in terms of MMSE scores betweeen patient and control group (p< 0.0001). MMSE scores and FEV1 values were significantly different among patients with moderate, sevre and very severe airflow obstruction (p= 0.001; p< 0.0001 respectively). We found a significant negative correlation between MMSE results and exacerbation frequency during last year (p= 0.003; r= -0.239)., Conclusion: Lower MMSE scores of COPD patients than subjects in control group indicates the impairment of cognitive functions in COPD patients. Moreover a negative relationship between MMSE scores with exacerbation frequency during last year suggests that prevention from exacerbation can decrease cognitive impairment in COPD patients. We believe that assessment of cognitive functions and preventive strategies should be considered in COPD management.

Published
2013
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