homogeneous functions
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2021 ◽  
Vol 9 (6) ◽  
pp. 38-43
Author(s):  
Anatolii Alpatov ◽  
Victor Kravets ◽  
Dmytro Kolosov ◽  
Volodymyr Kravets ◽  
Erik Lapkhanov

The efficiency of application of linear programming methods to problems of the theory of similarity and dimensions is shown. A general algorithm for formation of the set of similarity criteria for a physical process in the class of homogeneous functions is proposed. The set of systems of linear algebraic equations is created using the combinatorial method and chain diagrams. Basic and free variables and their corresponding variants of dimensionless sets of independent arguments, which are taken as the main similarity criteria, are distinguished. The set of derived similarity criteria is found using the basic criteria and the Cayley table.



2021 ◽  
Vol 99 (3-4) ◽  
pp. 495-505
Author(s):  
Demeter Krupka


Author(s):  
Cheikh Toure ◽  
Armand Gissler ◽  
Anne Auger ◽  
Nikolaus Hansen




2021 ◽  
Vol 28 (2) ◽  
pp. 67-78
Author(s):  
E. Mukhamadiev ◽  
A. N. Naimov


2021 ◽  
Vol 29 (2) ◽  
pp. 329-362
Author(s):  
Tsz-Kiu Aaron Chow ◽  
Ka-Wing Chow ◽  
Frederick Tsz-Ho Fong


Author(s):  
Regivan Santiago ◽  
Benjamin Bedregal ◽  
Gracaliz Pereira Dimuro ◽  
Javier Fernandez ◽  
Humberto Bustince ◽  
...  


Author(s):  
Эргашбой Мухамадиев ◽  
Алижон Наимов


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