Other models of asymptotic approximation

1995 ◽  
pp. 244-252
Author(s):  
Adelina Georgescu
Keyword(s):  
Asymptotic Approximation

Packing densities of randomly constructed codes

1989 ◽  
Vol 26 (03) ◽  
pp. 512-523
Author(s):  
Clifton Sutton
Keyword(s):  
Linear Regression ◽  
Asymptotic Approximation ◽  
Hamming Distance ◽  
Random Packing ◽  
Approximation Formula ◽  
Empirical Constant ◽  
Non Linear ◽  
Packing Densities

Codes having all pairs of words separated by a Hamming distance of at least d are stochastically constructed by sequentially packing randomly generated q-ary n-tuples. Estimates of the random packing densities are obtained by repeated simulation. Using non-linear regression to fit the estimated densities, an asymptotic approximation formula is obtained for the packing densities which depends only on q, n, d, and an empirical constant.

Berry–Esseen bound for high dimensional asymptotic approximation of Wilks’ Lambda distribution

2006 ◽  
Vol 76 (12) ◽  
pp. 1191-1200 ◽  
Author(s):  
Vladimir V. Ulyanov ◽  
Hirofumi Wakaki ◽  
Yasunori Fujikoshi
Keyword(s):  
Asymptotic Approximation ◽  
High Dimensional ◽  
Wilks Lambda

scholarly journals MATHEMATICAL MODELING SINGULARLY PERTURBED PROCESSES OF WATER SOFTENING ON SODIUM-CATIONITE FILTERS

2019 ◽  
Vol 9 (1) ◽  
pp. 37-40 ◽  
Author(s):  
Andrij Safonyk ◽  
Ihor Prysiazhniuk ◽  
Olena Prysiazhniuk ◽  
Oleksandr Naumchuk
Keyword(s):  
Ion Exchange ◽  
Asymptotic Approximation ◽  
Model Problem ◽  
Initial Boundary ◽  
Theoretical Description ◽  
Water Softening ◽  
Operational Conditions ◽  
Calcium And Magnesium ◽  
Pre Treatment ◽  
Modelling Assumptions

Mathematical model of the process of water softening using ion exchange pre-treatment of waters to desalination, with a view to removal of scale forming components, such as calcium and magnesium, are formed in the paper. In this process, no additional chemicals, except for brines formed during desalination, are required for regeneration of ion-exchanger in operation cycles. An asymptotic approximation of a solution of a corresponding model problem is constructed. Theoretical description and modelling assumptions included the set of differential equations of mass balance, initial, boundary and operational conditions. The paper deals with the development of a computer model for description and prediction of the performance of ion exchange columns.

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