scholarly journals Helicoidal Surfaces in Galilean Space With Density

2020 ◽  
Vol 8 ◽  
Author(s):  
Safaa Mosa ◽  
Mervat Elzawy
Keyword(s):  
Helicoidal Surfaces ◽  
Galilean Space

Grapho-Analytical Determination of the Profile Disc Tool for Manufacturing of Complex Helicoidal Surfaces

2013 ◽  
Vol 837 ◽  
pp. 164-169 ◽  
Author(s):  
Gheorghe Pleşu
Keyword(s):  
Point Of View ◽  
Disc Cutter ◽  
Analytical Determination ◽  
Great Effort ◽  
Numerical Determination ◽  
Projection System ◽  
Tool Profile ◽  
Helicoidal Surfaces ◽  
Helicoidal Surface

Helicoidal surfaces correspond to a cathegory of widely spread surfacesin the technical field. From the point of view of the manufacturing of helicoidal surfaces through the moving of a profile around the helix, the two elements defining such a surface can be distinguished: the profile and the helix. The numerical determination of the profile of the disc type tool drawn on an analytical method with a large number of points [1- (the number reaches even 1500 in some cases) implies a great effort so that the technician can verify the correctness of results, even in the present case when there is the possibility of the numerical determination through the resolution of the inverse problem of the frontal profile of the complex helicoidal surface. In order to facilitate this work and to give the possibility of introducing some new profiles in the projection system, some methods of grapho-analytical determination have been conceived to process the profiles of the complex helicoidal surfaces, as well as the profiles of the helicoidal surfaces for a given tool profile. This paper presents the graphic-analytical determination of the disc tool profile designed to dress the complex helicoidal surfaces. The methods referred to by using the possibilities provided by the programming environment AutoCAD and its development languages allow to determin numerically the profile of the disc-cutter with a high precision, above the precision level required in practice.

GALILEAN AND DISCRETE SPACE-TIME SYMMETRIES OF ROY-SINGH DETERMINISTIC QUANTUM MECHANICS

1995 ◽  
Vol 10 (32) ◽  
pp. 4641-4650
Author(s):  
ARVIND KUMAR
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Time Reversal ◽  
Space Time ◽  
Discrete Space ◽  
Galilean Space

The recent deterministic quantum theory of Roy and Singh is shown to be covariant with respect to Galilean, space reflection and time reversal transformations.

scholarly journals Helicoidal surfaces with constant mean curvature

1982 ◽  
Vol 34 (3) ◽  
pp. 425-435 ◽  
Author(s):  
Manfredo P. do Carmo ◽  
Marcos Dajczer
Keyword(s):  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Helicoidal Surfaces

Total angle about the vertex of a cone in Galilean space

1988 ◽  
Vol 43 (5) ◽  
pp. 379-382
Author(s):  
A. Artykbaev
Keyword(s):  
Galilean Space ◽  
Total Angle
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