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Smarandache Ruled Surfaces according to Darboux Frame in <math xmlns='http://www.w3.org/1998/Math/MathML' id='M1'> <msup> <mrow> <mi>E</mi> </mrow> <mrow> <mi>3</mi> </mrow> </msup> </math>
- Source :
- Journal of Mathematics. 2021:1-10
- Publication Year :
- 2021
- Publisher :
- Hindawi Limited, 2021.
-
Abstract
- This paper presents a new approach of constructing special ruled surfaces and aims to study their developability and minimalist conditions. Our concept opens opportunities for application in engineering, surface modeling, and architectural design. The principle of our study is to introduce the original definitions of Smarandache ruled surfaces according to Darboux frame of a curve lying on an arbitrary regular surface in E 3 . It concerns T g -Smarandache ruled surface, T n -smarandache ruled surface, and g n -Smarandache ruled surface. New theorems giving necessary and sufficient conditions for those surfaces to be developable and minimal are investigated. Finally, an example with illustrations is presented.
- Subjects :
- Surface (mathematics)
Pure mathematics
Ruled surface
General Mathematics
Darboux frame
010102 general mathematics
Architectural design
MathematicsofComputing_GENERAL
02 engineering and technology
021001 nanoscience & nanotechnology
01 natural sciences
0101 mathematics
0210 nano-technology
Mathematics
Subjects
Details
- ISSN :
- 23144785 and 23144629
- Volume :
- 2021
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematics
- Accession number :
- edsair.doi...........29e7fd453e7af1250229abc65d832bdc