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Author(s):  
Firat Yerli̇kaya ◽  
İsmai̇l Aydemi̇r

The main intention of this paper is to analyze integrability for the derivative formulas of the rotation minimizing frame in the Lorentz–Minkowski 3-space. As far as we know, no one has yet given a method to study their integrability in the Lorentz–Minkowski 3-space. So, we introduce the coordinate system in order to provide a tool for studying the integrability. As an application, the position vectors of some special curves having an important place in mathematical and physical research are obtained in the natural representation form. Finally, we support our work with examples.


2021 ◽  
Vol 17 (2) ◽  
pp. 90
Author(s):  
Ziqi Wang ◽  
Kehui Deng ◽  
Zeyang Peng

The origin of textiles is often associated with braid. Both braids and warp twisted fabrics have twisted structures, but warp twisted fabrics are more advanced and closer to the development direction of textiles.From braids to warp twisted fabrics to various complex fabrics, it is supported by the development of social technology. We sorted and categorized related textiles unearthed in prehistoric times, combined with archaeological records and documentary records that could reflect the production situation at that time to a certain extent, and explored the connection between the origin of warp warp fabrics and the development of social technology through the combination of literature research and physical research.


2021 ◽  
Vol 13 (5) ◽  
pp. 05039-1-05039-4
Author(s):  
V. M. Beresnev ◽  
◽  
V. A. Chekubasheva ◽  
O. V. Glukhov ◽  
O. O. Kravchuk ◽  
...  
Keyword(s):  

Metaphysics ◽  
2020 ◽  
pp. 126-136
Author(s):  
D. V Kolokolov

This article is an attempt to show the main stages of the life path and directions of work carried out by Ivan Mikhailovich Shakhparonov - a remarkable experimenter, deeply erudite scientist and a good friend who has devoted almost 60 years of his life to experimental physical research. The main focus is on experiments with a Mobius strip generator and the effects produced by this generator.


2020 ◽  
Vol 17 (06) ◽  
pp. 2050088 ◽  
Author(s):  
Tongchang Liu ◽  
Donghe Pei

In this paper, we study mixed-type curves in Minkowski 3-space. Mixed-type curves are regular curves, and there are both non-lightlike points and lightlike points in a mixed-type curve. For non-lightlike curves and null curves in Minkowski 3-space, we can study them by a Frenet frame or a Cartan frame, respectively. But for mixed-type curves, the two frames will not work. As far as we know, no one has yet given a frame to study them in Minkowski 3-space. So, we give the lightcone frame in order to provide a tool for studying this type curves in mathematical and physical research. As an application of the lightcone frame, we define an evolute of a mixed-type curve. We also give some examples to show the evolutes.


2019 ◽  
Vol 20 (2) ◽  
pp. 212-237
Author(s):  
Marián Ambrozy ◽  
Miloš Lokajíček ◽  
Michal Valčo

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