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On Hybrid Curves
2023
Journal:  
Journal of Engineering Technology and Applied Sciences
Author:  
DOI:  
10.30931/jetas.1338660
Abstract:

In this paper, we first define the vector product in a special analog Minkowski Geometry (R^3,<>) which is identified with the space of spatial hybrids. Next, we derive the Frenet-Serret frame formulae for a three dimensional non-parabolic curve by using the spatial hybrids and the vector product. However, we present the Frenet-Serret frame formulae of a non-lightlike hybrid curve in R^4 and an illustrative example for all theorems of the paper with MATLAB 2016a codes.

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2023
Journal:  
Journal of Engineering Technology and Applied Sciences
Author:  
DOI:  
10.30931/jetas.1338660
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Journal of Engineering Technology and Applied Sciences

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Uluslararası

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Article : 120
Cite : 61
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Journal of Engineering Technology and Applied Sciences