Yazar "Bayram, Ergin" için listeleme
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3-boyutlu öklid ve Minkowski uzaylarında ikinci tip serbest elastik eğri için doğal denklemler / Ergin Bayram ; Danışman Emin Kasap.
Bayram, Ergin (Ondokuz Mayıs Üniversitesi, Fen Bilimleri Enstitüsü, 2017)… -
An approach for designing a surface pencil through a given geodesic curve
Atalay, Gülnur Şaffak; Güler, Fatma; Bayram, Ergin; Kasap, Emin (Ankara Üniversitesi, 2021)In the present paper, we propose a new method to construct a surface interpolating a given curve as the geodesic curve of it. Also, we analyze the conditions when the resulting surface is a ruled surface. In addition, ... -
E4te ortak geodezikli hiperyüzey ailesi / Ergin Bayram ; Danışman Emin Kasap
Bayram, Ergin (Ondokuz Mayıs Üniversitesi, Fen Bilimleri Enstitüsü, 2011)özet.,Bu çalışmada, te bir P hiperyüzeyinin parametrik denklemi, hiperyüzey üzerinde yatan bir C eğrisinin Frenet çatısı yardımı ile elde edildi. C eğrisinin hiperyüzey üzerinde hem parametre eğrisi hem de geodezik olması ... -
E³ te verilen bir eğri boyunca sabit ortalama eğrilikli yüzey ailesi
Coşanoğlu, Hüsnü (Ondokuz Mayıs Üniversitesi Lisansüstü Eğitim Enstitüsü, 2021)Bu tez çalıĢmasında, 3 boyutlu Öklid uzayında verilen herhangi bir eğriden geçen ve bu eğri boyunca ortalama eğriliği sabit olan yüzeyler için yeterli Ģartların elde edilmesi amaçlanmaktadır. Verilen eğrinin regüler olduğu ... -
Geodesics, Line of Curvatures and Asymptotic Curves Versus Relaxed Elastic Lines on An Oriented Surface
Bayram, Ergin; Kasap, Emin (Editura Bibliotheca-Bibliotheca Publ House, 2017)Let alpha(s) be an arc on a connected oriented surface S in E-3, parameterized by arc length s, with curvature k and length l. The total square curvature K of alpha is defined by K=integral(1)(0)kappa(2)The arc alpha is ... -
How To Find the Inverse of A Matrix in Lorentz Space
Bilici, Mustafa; Bayram, Ergin (Editura Bibliotheca-Bibliotheca Publ House, 2015)In the present paper, we define adjoint of a Lorentzian matrix. We give a theorem to find the inverse of a matrix using adjoint of it. Also a shortcut to find the inverse of a 2x2 matrix is presented. Finally, we show that ... -
Intrinsic Equations for a Relaxed Elastic Line of Second Kind in Minkowski 3-Space
Bayram, Ergin; Kasap, Emin (Univ Nis, Fac Sci Math, 2015)Let alpha be an arc on a connected oriented surface S in Minkowski 3-space, parameterized by arc length s, with torsion tau and length l. The total square torsion H of alpha is defined by H = integral(1)(0)tau(2)ds. The ... -
Intrinsic equations for a relaxed elastic line of second kind on an oriented surface
Bayram, Ergin; Kasap, Emin (World Scientific Publ Co Pte Ltd, 2016)Let alpha(s) be an arc on a connected oriented surface S in E-3, parameterized by arc length s, with torsion tau and length l. The total square torsion H of alpha is defined by H = integral(l)(0) tau(2) ds. The arc alpha ... -
Offset surface pencil with a common asymptotic curve
Guler, Fatma; Bayram, Ergin; Kasap, Emin (World Scientific Publ Co Pte Ltd, 2018)Let r(s) be a parameter and an asymptotic curve on a surface P(s, t). We obtain conditions for offsets (P) over bar (s, t) of P(s, t) such that the image beta(s) of the curve r(s) is a common asymptotic on each offset. We ... -
Parametric representation of a surface pencil with a common asymptotic curve
Bayram, Ergin; Guler, Fatma; Kasap, Emin (Elsevier Sci Ltd, 2012)In this paper, we study the problem of finding a surface pencil from a given spatial asymptotic curve. We obtain the parametric representation for a surface pencil whose members have the same curve as a given asymptotic ... -
Surface Family With A Common Asymptotic Curve in Minkowski 3-Space
Atalay, Gulnur Saffak; Bayram, Ergin; Kasap, Emin (Editura Bibliotheca-Bibliotheca Publ House, 2018)In this paper, we express surfaces parametrically through a given spacelike (timelike) asymptotic curve using the Frenet frame of the curve in Minkowski 3-space. Necessary and sufficient conditions for the coefficients of ... -
Surface family with a common involute asymptotic curve
Bayram, Ergin; Bilici, Mustafa (World Scientific Publ Co Pte Ltd, 2016)We construct a surface family possessing an involute of a given curve as an asymptotic curve. We express necessary and sufficient conditions for that curve with the above property. We also present natural results for such ... -
Surface family with a common involute asymptotic curve (vol 13, 1650062, 2016)
Bayram, Ergin; Bilici, Mustafa (World Scientific Publ Co Pte Ltd, 2018)… -
Surface Family With A Common Natural Asymptotic Lift
Bayram, Ergin; Ergun, Evren; Kasap, Emin (Editura Bibliotheca-Bibliotheca Publ House, 2015)In the present paper, we find a surface family possessing the natural lift of a given curve as a common asymptotic curve. We express necessary and sufficient conditions for the given curve such that its natural lift is an ... -
Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space
Bayram, Ergin; Ergün, Evren (2016)Bu çalışmada, 3-boyutlu Minkowski uzayında verilen bir timelike eğrinin tabii liftini asimptotik eğri kabul eden yüzey ailesi elde edildi. Verilen eğrinin tabii liftinin yüzey üzerinde asimptotik eğri olması için gerekli ... -
Surface Family With A Common Natural Line of Curvature Lift
Ergun, Evren; Bayram, Ergin; Kasap, Emin (Editura Bibliotheca-Bibliotheca Publ House, 2015)We construct a surface family possessing a natural lift of a given curve as a line of curvature. We obtain necessary and sufficient condition for the given curve such that its natural lift is a line of curvature on any ... -
Surface Pencil with a Common Line of Curvature in Minkowski 3-Space
Ergun, Evren; Bayram, Ergin; Kasap, Emin (Springer Heidelberg, 2014)In this paper, we analyze the problem of constructing a surface pencil from a given spacelike (timelike) line of curvature. Using the Frenet frame of the given line of curvature in Minkowski 3-space, we express the surface ...