Indexing the Relative Distance — An Efficient Approach to KNN Search

2002 ◽  
pp. 85-108 ◽  
Keyword(s):  
Relative Distance ◽  
Efficient Approach ◽  
Knn Search

Center of Mass Theorem and the Separation of Variables for Two-Body System on a Three-Dimensional Sphere

2020 ◽  
Vol 23 (3) ◽  
pp. 306-311
Author(s):  
Yu. Kurochkin ◽  
Dz. Shoukavy ◽  
I. Boyarina
Keyword(s):  
Constant Curvature ◽  
Jacobi Equation ◽  
Separation Of Variables ◽  
Center Of Mass ◽  
Three Dimensional ◽  
Relative Distance ◽  
Dimensional Sphere ◽  
Body System ◽  
Spaces Of Constant Curvature ◽  
Hamilton Jacobi Equation

The immobility of the center of mass in spaces of constant curvature is postulated based on its definition obtained in [1]. The system of two particles which interact through a potential depending only on the distance between particles on a three-dimensional sphere is considered. The Hamilton-Jacobi equation is formulated and its solutions and trajectory equations are found. It was established that the reduced mass of the system depends on the relative distance.

Efficient approach for analysis of unsteady viscous flows in turbomachines

AIAA Journal ◽  
1998 ◽  
Vol 36 ◽  
pp. 2005-2012
Author(s):  
L. He ◽  
W. Ning
Keyword(s):  
Viscous Flows ◽  
Efficient Approach
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