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Surfaces Family With A Common Mannheim Geodesic Curve


Surfaces Family With A Common Mannheim Geodesic Curve
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Surfaces Family With A Common Mannheim Geodesic Curve


Surfaces Family With A Common Mannheim Geodesic Curve
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Author : Gülnur ŞAFFAK ATALAY
language : en
Publisher: Infinite Study
Release Date :

Surfaces Family With A Common Mannheim Geodesic Curve written by Gülnur ŞAFFAK ATALAY and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In this paper, we analyzed surfaces family possessing a Mannheim partner curve of a given curve as a geodesic. Using the Frenet frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame and derive the necessary and sufficient conditions for coefficients to satisfy both the geodesic and isoparametric requirements. The extension to ruled surfaces is also outlined. Finally, examples are given to show the family of surfaces with common Mannheim geodesic curve.



2nd International Students Science Congress Proceedings


2nd International Students Science Congress Proceedings
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Author : Mahamat Ali Amine Ouchar
language : en
Publisher: Infinite Study
Release Date :

2nd International Students Science Congress Proceedings written by Mahamat Ali Amine Ouchar and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


The aim of this study is to determine PstI polymorphism in the exon 6 region of the Pituitary-specific Transcription Factor (Pit-1) gene which is regarded as a candidate gene in mammals in regulating growth and development in 6 different goat breeds reared in Turkey. PstI polymorphism in Pit-1 gene (450 bp) was investigated by Restriction Fragment Length Polymorphism (RFLP) method in a total of 217 goats including 36 Hair, 18 Angora, 43 Kilis, 37 Honamlı, 46 Halep and 37 heads of Saanen breeds.



On Ruled Surfaces Defined By Smarandache Curve


On Ruled Surfaces Defined By Smarandache Curve
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Author : Amine Yılmaz
language : un
Publisher: Infinite Study
Release Date :

On Ruled Surfaces Defined By Smarandache Curve written by Amine Yılmaz and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


In the surfaces theory, it is well-known that a surface is called to be a ruled surface if it is generated by a continuously moving of a straight line in the space. Since a ruled surface is obtained by a line movement, its geometry has many nice properties and such surfaces have been studied by many authors, see: [4, 5, 6] and references therein. Ruled surfaces are also important subject in many applications. In particular, such surfaces have been used in computer aided engineering design (CAD) [7].



Encyclopedic Dictionary Of Mathematics


Encyclopedic Dictionary Of Mathematics
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Author : Nihon Sūgakkai
language : en
Publisher: MIT Press
Release Date : 1993

Encyclopedic Dictionary Of Mathematics written by Nihon Sūgakkai and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.


V.1. A.N. v.2. O.Z. Apendices and indexes.



Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2005

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.




Nature


Nature
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Author :
language : en
Publisher:
Release Date : 1878

Nature written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1878 with categories.




Nature


Nature
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Author : Sir Norman Lockyer
language : en
Publisher:
Release Date : 1878

Nature written by Sir Norman Lockyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1878 with Electronic journals categories.




Surfaces Family With Common Smarandache Geodesic Curve According To Bishop Frame In Euclidean Space


Surfaces Family With Common Smarandache Geodesic Curve According To Bishop Frame In Euclidean Space
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Author : Gülnur Saffak Atalay
language : en
Publisher: Infinite Study
Release Date :

Surfaces Family With Common Smarandache Geodesic Curve According To Bishop Frame In Euclidean Space written by Gülnur Saffak Atalay and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Bishop frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for coefficents to satisfy both the geodesic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common Smarandache geodesic curve.



Concerning Surfaces With Constant Negative Curvature


Concerning Surfaces With Constant Negative Curvature
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Author : Albert Victor Bäcklund
language : en
Publisher:
Release Date : 1984

Concerning Surfaces With Constant Negative Curvature written by Albert Victor Bäcklund and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Surfaces of constant curvature categories.




On Surfaces With A Rectilinear Geodesic Circle


On Surfaces With A Rectilinear Geodesic Circle
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Author : Adriano M. Garsia
language : en
Publisher:
Release Date : 1957

On Surfaces With A Rectilinear Geodesic Circle written by Adriano M. Garsia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Surfaces categories.