Smarandache Curves In Euclidean 4 Space E 4

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Smarandache Curves In Euclidean 4 Space E 4

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Author :
language : en
Publisher: Infinite Study
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Smarandache Curves In Euclidean 4 Space E 4 written by 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.

The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E4 and to obtain the Frenet–Serret and Bishop invariants for the Smarandache curves in E4.

Smarandache Curves In Euclidean 4 Space E 4

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Author : Mervat Elzawy
language : un
Publisher: Infinite Study
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Smarandache Curves In Euclidean 4 Space E 4 written by Mervat Elzawy 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.

The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E4, and to obtain the Frenet–Serret and Bishop invariants for the Smarandache curves in E4.

Computing Special Smarandache Curves According To Darboux Frame In Euclidean 4 Space

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Author : M. KHALIFA SAAD
language : en
Publisher: Infinite Study
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Computing Special Smarandache Curves According To Darboux Frame In Euclidean 4 Space written by M. KHALIFA SAAD 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 this paper, we study some special Smarandache curves and their di erential geometric properties according to Darboux frame in Euclidean 4-space E4. Also, we compute some of these curves which lie fully on a hypersurface in E4. Moreover, we defray some computational examples in support our main results.

Smarandache Curves Of A Spacelike Curve According To The Bishop Frame Of Type 2

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Author : Yasin Unluturk
language : en
Publisher: Infinite Study
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Smarandache Curves Of A Spacelike Curve According To The Bishop Frame Of Type 2 written by Yasin Unluturk 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.

A third order vectorial differential equation of position vector of Smarandache breadth curves has been obtained in Minkowski 3-space.

Assesment Of Smarandache Curves In The Null Cone Q2

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Author : MIHRIBAN KULAHCI
language : en
Publisher: Infinite Study
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Assesment Of Smarandache Curves In The Null Cone Q2 written by MIHRIBAN KULAHCI 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 give Smarandache curves according to the asymptotic orthonormal frame in null cone Q2. By using cone frame formulas, we present some characterizations of Smarandache curves and calculate cone frenet invariants of these curves. Also, we illustrate these curves with an example.

Smarandache Curves And Applications According To Type 2 Bishop Frame In Euclidean 3 Space

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Author : Suha Yılmaz
language : en
Publisher: Infinite Study
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Smarandache Curves And Applications According To Type 2 Bishop Frame In Euclidean 3 Space written by Suha 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 categories.

In this paper, we investigate Smarandache curves according to type-2 Bishop frame in Euclidean 3- space and we give some differential geometric properties of Smarandache curves. Also, some characterizations of Smarandache breadth curves in Euclidean 3space are presented. Besides, we illustrate examples of our results.

Smarandache Curves According To The Extended Darboux Frame In Euclidean 4 Space

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Author : Bahar UYAR DÜLDÜL
language : un
Publisher: Infinite Study
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Smarandache Curves According To The Extended Darboux Frame In Euclidean 4 Space written by Bahar UYAR DÜLDÜL 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 this paper, considering the extended Darboux frame in Euclidean 4-space, we define some special Smarandache curves. We calculate the Frenet apparatus of these curves depending on the invariants of the extended Darboux frame of second kind.

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
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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.

International Journal Of Mathematical Combinatorics Volume 4 2016

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Author : Linfan Mao
language : en
Publisher: Infinite Study
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International Journal Of Mathematical Combinatorics Volume 4 2016 written by Linfan Mao 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 mathematical combinatorics is a subject that applying combinatorial notion to all mathematics and all sciences for understanding the reality of things in the universe. The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

Parallel Transport Frame Of Smarandache Curves In Euclidean Space

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Author : Shankar Lal
language : un
Publisher: Infinite Study
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Parallel Transport Frame Of Smarandache Curves In Euclidean Space written by Shankar Lal 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 present work, we introduce Parallel transport frames of Smarandache curves in Euclidean space. In the first section, we give the basic tools of a parallel transport frame of a curve in 4-dimensional Euclidean space. In the second section, we study Smarandache curve of Euclidean space in parallel transport frame, we solve a few theorems, corollaries and examples.