About existence of quasi-double lines of the partial mapping of space En

Matieva, Gulbadan and Abdullayeva, Cholpon and Ahmedov, Anvarjon A. (2019) About existence of quasi-double lines of the partial mapping of space En. In: Journal of Physics: Conference Series; 2nd International Conference on Applied and Industrial Mathematics and Statistics 2019, ICoAIMS 2019 , 23 - 25 July 2019 , The Zenith Hotel, Kuantan, Pahang. pp. 1-5., 1366 (1). ISSN 1742-6588 (print); 1742-6596 (online)

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Abstract

In domain Ω ⊂ En it is considered a set of smooth lines such that through a point X ∈ Ω passed one line of given set. The moving frame is frame of Frenet for the line ωi of the given set. Integral lines of the vector fields are formed net ∑n of Frenet. There is exist the point on the tangent of the line ωi. When the point X is shifted in the domain Ω, the point describes it's domain in En. It is defined the partial mapping such that Necessary and sufficient conditions of of quasi-double lines of the partial mapping of space En are proved.

Item Type: Conference or Workshop Item (Lecture)
Additional Information: Indexed by Scopus
Uncontrolled Keywords: Double line; Moving frame; Partial mappings; Vector fields
Subjects: Q Science > QA Mathematics
Faculty/Division: Center for Mathematical Science
Depositing User: Mrs Norsaini Abdul Samat
Date Deposited: 21 Mar 2022 07:00
Last Modified: 21 Mar 2022 07:00
URI: http://umpir.ump.edu.my/id/eprint/29769
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