Practice of use of the systems of computer math in geodesy

2014 ◽  
Vol 885 (3) ◽  
pp. 47-50
Author(s):  
К.V. Titov ◽  
Keyword(s):  
2019 ◽  
Vol 5 (3) ◽  
pp. 36-44
Author(s):  
Viktor A. Bogachev ◽  
Yuri A. Terentyev ◽  
Viktor V. Koledov ◽  
Taras V. Bogachev

Background: Research is ongoing relating to the analysis of a set of issues that arise in connection with the creation of the operating on the basis of vacuum magnetic technologies a transcontinental high-speed land transport corridor, connecting the eastern regions of China with Russia. As part of the variation calculus task, the geopolitical, economic, social, logistic, geographic, geomorphological, seismological, topographic components of the project are considered, in which it is assumed that the high speed overland route will pass through the north-western part of the historical region of Dzungaria. Aim: Find the most optimal from the point of view of the above components the location of the most important section of high speed overland route passing through Central Asia. Methods: Variational methods for solving an optimization problem with the use of a computer math system. Results: After creating a fairly informative and versatile picture of the region in question, the foundations of the corresponding mathematical models are built. Conclusion: The New Dzungarian Gates is a key element in choosing the location of a high-speed overland route based on VMLT.


IEEE Spectrum ◽  
2008 ◽  
Vol 45 (2) ◽  
pp. 14-15 ◽  
Author(s):  
Samuel Moore
Keyword(s):  

1997 ◽  
Vol 1 (3) ◽  
pp. 323-326
Author(s):  
Uri Wilensky
Keyword(s):  

1996 ◽  
Vol 1 (2) ◽  
pp. 197-199 ◽  
Author(s):  
Uri Wilensky
Keyword(s):  

Author(s):  
P.N. Klepikov

Currently, mathematical and computer modeling, as well as systems of symbolic calculations, are actively used in many areas of mathematics. Popular computer math systems as Maple, Mathematica, MathCad, MatLab allow not only to perform calculations using symbolic expressions but also solve algebraic and differential equations (numerically and analytically) and visualize the results. Differential geometry, like other areas of modern mathematics, uses new computer technologies to solve its own problems. The applying is not limited only to numerical calculations; more and more often, computer mathematics systems are used for analytical calculations. At the moment, there are many examples that prove the effectiveness of systems of analytical calculations in the proof of theorems of differential geometry.This paper demonstrates how symbolic computation packages can be used to classify neither conformally flat nor Ricci parallel four-dimensional Lie groups with leftinvariant (pseudo)Riemannian metric of the algebraic Ricci soliton with the zero Schouten-Weyl tensor.


Math Horizons ◽  
1997 ◽  
Vol 4 (3) ◽  
pp. 22-25
Author(s):  
Gina Kolata
Keyword(s):  

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