Analysis of multiple cracking of nanocoating as a cyclic random process

2013 ◽  
Vol 49 (2) ◽  
pp. 164-170 ◽  
Author(s):  
I. V. Lytvynenko ◽  
S. A. Lupenko ◽  
P. O. Marushchak
Keyword(s):  
Random Process ◽  
Multiple Cracking ◽  
Cyclic Random Process

scholarly journals Cyclic Linear Random Process As A Mathematical Model Of Cyclic Signals

2015 ◽  
Vol 9 (4) ◽  
pp. 219-224 ◽  
Author(s):  
Sergiy Lupenko ◽  
Nadiia Lutsyk ◽  
Yuri Lapusta
Keyword(s):  
Mathematical Model ◽  
Random Process ◽  
Science And Technology ◽  
Random Processes ◽  
Stochastic Signals ◽  
Cyclic Random Process ◽  
The Mathematical Model

Abstract In this study the cyclic linear random process is defined, that combines the properties of linear random process and cyclic random process. This expands the possibility describing cyclic signals and processes within the framework of linear random processes theory and generalizes their known mathematical model as a linear periodic random process. The conditions for the kernel are given and the probabilistic characteristics of generated process of linear random process in order to be a cyclic random process. The advantages of the cyclic linear random process are presented. It can be used as the mathematical model of the cyclic stochastic signals and processes in various fields of science and technology.

Mathematical model of gas consumption process in the form of cyclic random process

2021 ◽  
Author(s):  
Iaroslav Lytvynenko ◽  
Serhii Lupenko ◽  
Oleg Nazarevych ◽  
Grigorii Shymchuk ◽  
Volodymyr Hotovych
Keyword(s):  
Mathematical Model ◽  
Random Process ◽  
Cyclic Random Process ◽  
Gas Consumption
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