Browsing by Author "Kahraman T."

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    Some characterizations of Mannheim partner curves in the minkowski 3-space E 3 1 ; [Mannheimi partnerkõverate iseloomustus Minkowski 3-ruumis E 3 1 ]
    (2011) Kahraman T.; Önder M.; Kazaz M.; Hüseyin Uǧurlu H.
    In this paper, we give some characterizations of Mannheim partner curves in the Minkowski 3-space E 3 1. Firstly, we classify these curves in E 3 1. Next, we give some relationships characterizing these curves and we show that the Mannheim theorem is not valid for the Mannheim partner curves in E 3 1. Moreover, by considering the spherical indicatrix of the Frenet vectors of those curves, we obtain some new relationships between the curvatures and torsions of the Mannheim partner curves in E 3 1.
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    Blaschke approach to dual Smarandache curves
    (Institute of Advanced Scientific Research, Inc., 2013) Kahraman T.; Önder M.; Uǧurlu H.H.
    In this paper, we give the definition of dual Smarandache curves on dual unit sphere ~S2 according to Blaschke frame. We obtain the relationships between Blaschke frames, invariants and elements of curvature of a dual curve α̃ and its dual Smarandache b̃ij-curves (1 ≤ i, j ≤ 3). Furthermore, we show that a dual curve α̃ and its dual Smarandache b̃13-curve forms a Bertrand offset. © 2013 Institute of Advanced Scientific Research.
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    Null Quaternionic Bertrand Partner Curves
    (Springer International Publishing, 2018) Kahraman T.
    In this paper, we study null quaternionic Bertrand curves in the semi-Euclidean spaces E13 and E14, respectively. We obtain some characterizations for null quaternionic Bertrand partner curves. We show that the constant distance between the quaternionic partner curves is independent from the first curvatures of the curves in both spaces E13 and E14. © 2017, Shiraz University.
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    Turkish adaptation of Parkinson fatigue scale and investigating its psychometric properties
    (Lippincott Williams and Wilkins, 2019) Çilga G.; Genç A.; Çolakoǧlu B.D.; Kahraman T.
    Parkinson's disease (PD) is one of the most common chronic degenerative diseases of the nervous system. In PD, nonmotor symptoms are seen as frequently as motor symptoms. Fatigue can occur in all stages of PD and leads to significant disabilities. The aim of this study was to investigate the psychometric properties of the Turkish version of Parkinson fatigue scale (PFS). Ninety-six patients with idiopathic PD were included in this study with a cross-sectional and test-retest design. Structural validity, internal consistency and test-retest reliability of PFS were analyzed. For convergent validity, fatigue severity scale and modified fatigue impact scale were used. Internal consistency was determined by the Cronbach's α coefficient. For test-retest reliability, PFS was repeated after a 7-14-day period. Significant strong correlations were found between the PFS and the fatigue severity scale (r s =0.844) and the modified fatigue impact scale (r s =0.764), which indicate a high convergent validity. The Cronbach's α coefficient, which indicates the internal consistency of the scale, was calculated as 0.947. The test-retest reliability was found to be high (intraclass correlation coefficient=0.928). This study suggests that the Turkish version of PFS is valid and reliable. PFS is suitable for use by researchers and healthcare professionals to assess fatigue in Turkish-speaking patients with PD. © 2018 Wolters Kluwer Health, Inc. All rights reserved.
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    On rectifying ruled surfaces
    (University of Kuwait, 2020) Önder M.; Kahraman T.
    In this study, we define general rectifying ruled surfaces in the Euclidean 3-space E3 . We give some characterizations of rectifying ruled surfaces by considering the curvatures of base curve. We obtain the Gaussian curvature and the mean curvature and we investigate the condition for the surface to be minimal. Moreover, we give characterizations for some special curves lying on this surface. Finally, we obtain the relationships between rectifying ruled surfaces and slant ruled surfaces. © 2020 University of Kuwait. All rights reserved.
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    Differential Equations of Null Quaternionic Curves
    (Springer, 2020) Kahraman T.
    In this study, we investigate the differential equations of null quaternionic curves in Minkowski 3-space E13 and Minkowski space-time E14 according to components of Frenet frames. For some examples and special conditions, we get differential equations of null quarternionic curves. © 2020, Springer Nature India Private Limited.
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    Frontal Partner Curves on Unit Sphere S 2
    (Springer Verlag, 2020) Kahraman T.
    In this study, by using moving frame along frontal of Legendre curve, we define frontal partner curves on unit sphere S2. We give the relationships between curvatures of Legendre curves and frontal partner curves are strengthen by an example. © 2020, Springer-Verlag GmbH Germany & The Editorial Office of AMS.