title: ÐÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð°Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð°Ð´ÐµÐºÐ²Ð°ÑÐ½Ð¾Ð¹ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Software implementation of an adequate mathematical model
Creators: name: Ð¡ÐºÐ»ÑÑ, ÐÐ»ÑÑ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: Ð°Ð´ÐµÐºÐ²Ð°ÑÐ½Ð°Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ
ÑÐ·ÑÐº Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ C++
Ð±Ð¸Ð±Ð»Ð¸Ð¾ÑÐµÐºÐ° GiNaC
adequate mathematical model
C++ programming language
GiNaC library

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑÐ°, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐµÐ³Ð¾ Ð¿ÐµÑÐµÐ¹ÑÐ¸ Ð¾Ñ Ð¾ÑÐµÐ½Ð¾ÑÐ½Ð¾Ð¹ ÑÑÐ½ÐºÑÐ¸Ð¸ Ðº Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ñ Ð½Ð°Ð¿ÐµÑÑÐ´ Ð·Ð°Ð´Ð°Ð½Ð½ÑÐ¼ Ð·Ð½Ð°ÑÐµÐ½Ð¸ÐµÐ¼ ÑÐ°ÑÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¼Ð¾Ð´ÑÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ¸Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: ÐÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ Ð°Ð±ÑÐ¾Ð»ÑÑÐ½ÑÑ, Ð¾ÑÐ½Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½ÑÑ ÑÐµÐ»ÐµÐ²Ð°Ð½ÑÐ½Ð¾ÑÑÐµÐ¹ Ð¸Â Ð¼Ð°ÐºÑÐ¸Ð¼ÑÐ¼Ð¾Ð² ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð² Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð½ÐµÐ·Ð°Ð²Ð¸ÑÐ¸Ð¼ÑÑ Ð¿ÐµÑÐµÐ¼ÐµÐ½Ð½ÑÑ. ÐÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð¸ÑÐµÐ»ÑÐ½ÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¹, ÑÐ½ÑÑÐ¾Ð¿Ð¸Ð¹ Ð¸ Ð·Ð½Ð°ÑÐ¸Ð¼Ð¾ÑÑÐµÐ¹Â Ð½ÐµÐ·Ð°Ð²Ð¸ÑÐ¸Ð¼ÑÑ Ð¿ÐµÑÐµÐ¼ÐµÐ½Ð½ÑÑ. ÐÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ Ð²Ð¸Ð´Ð° Ð°Ð´ÐµÐºÐ²Ð°ÑÐ½Ð¾Ð¹ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸, ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÂ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ° Ð¸ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ ÑÑÐµÐ¿ÐµÐ½Ð¸ Ð¿ÑÐ¸ÐµÐ¼Ð»ÐµÐ¼Ð¾ÑÑÐ¸. ÐÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð° ÑÐ¾ÑÑÐ¾Ð¸Ñ Ð¸Ð· ÑÑÑÑ Ð±Ð»Ð¾ÐºÐ¾Ð², ÐºÐ°Ð¶Ð´ÑÐ¹ Ð¸Ð· ÐºÐ¾ÑÐ¾ÑÑÑ ÑÐµÑÐ°ÐµÑ Ð¾Ð´Ð½Ñ Ð¸Ð· Ð·Ð°Ð´Ð°Ñ Ð²ÑÑÐµ. Ð¢Ð°Ðº Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð° Ð²ÑÑÐ¸ÑÐ»ÑÐµÑ Ð°Ð±ÑÐ¾Ð»ÑÑÐ½ÑÑ ÑÐµÐ»ÐµÐ²Ð°Ð½ÑÐ½Ð¾ÑÑÑ, ÑÑÐ¾Ð±Ñ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÑ Ð¾ÑÐ½Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½ÑÑ ÑÐµÐ»ÐµÐ²Ð°Ð½ÑÐ½Ð¾ÑÑÑ, Ð±Ð»Ð°Ð³Ð¾Ð´Ð°ÑÑ ÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ Ð½Ð°ÑÐ¾Ð´ÑÑ Ð¼Ð°ÐºÑÐ¸Ð¼ÑÐ¼Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð² Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð½ÐµÐ·Ð°Ð²Ð¸ÑÐ¸Ð¼ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð². Ð§ÐµÐ¼ Ð±Ð¾Ð»ÑÑÐµ Ð¼Ð°ÐºÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÐ¹ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ Ñ Ð½ÐµÐ·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾Ð³Ð¾ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ°, ÑÐµÐ¼ Ð±Ð¾Ð»ÑÑÐµ Ñ Ð½ÐµÐ³Ð¾ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð¾ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð¸ÑÐµÐ»ÑÐ½ÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¹. ÐÑÐµÐ´ÑÑÐ°Ð²Ð¸ÑÐµÐ»ÑÐ½ÑÐµ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ Ð¶Ðµ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÑÑÑÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÑÑÐ½ÐºÑÐ¸Ð¸ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð²ÐµÑÐ¾ÑÑÐ½Ð¾ÑÑÐ¸, ÑÐ°ÐºÐ¸Ð¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼, ÑÑÐ¾Ð±Ñ ÐºÐ°Ð¶Ð´Ð°Ñ Ð²ÐµÑÐ¾ÑÑÐ½Ð¾ÑÑÑ Ð¼ÐµÐ¶Ð´Ñ Ð¿ÑÐµÐ´ÑÐ´ÑÑÐµÐ¼ Ð¸ ÑÐµÐºÑÑÐµÐ¼ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¹ Ð±ÑÐ»Ð° Ð¾Ð´Ð¸Ð½Ð°ÐºÐ¾Ð²Ð¾Ð¹. Ð Ð°Ð±Ð¾ÑÐ° Ð±ÑÐ»Ð° Ð¿ÑÐ¾ÑÐµÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð° Ð½Ð° Ð½ÐµÑÐºÐ¾Ð»ÑÐºÐ¸Ñ Ð½Ð°Ð±Ð¾ÑÐ°Ñ Ð´Ð°Ð½Ð½ÑÑ, ÐºÐ°ÑÐµÑÑÐ²ÐµÐ½Ð½Ð¾ Ð¾ÑÐ»Ð¸ÑÐ°ÑÑÐ¸ÑÑÑ Ð´ÑÑÐ³ Ð¾Ñ Ð´ÑÑÐ³Ð°, Ð¿ÑÐ¾ÑÑÐ¸ÑÐ°Ð½Ñ Ð²ÑÑÑÐ½ÑÑ.
description: This work is devoted to the development of a software package that allows you to move from an evaluation function to a mathematical model with a predetermined value of the discrepancy between the results of modulation and experiment. Tasks that were solved in the course of the study:Definition of absolute, relative relevances andÂ maxima of the coefficients of influence of independent variables. Determination of representative values, entropies and significancesÂ independent variables.Determination of the type of an adequate mathematical model, comparisonÂ with experimental data and determination of the degree of acceptability. The program consists of three blocks, each of which solves one of the tasks above. This is how the program calculates absolute relevance in order to calculate the relative relevance, due to which the maxima of the influence coefficients of the independent parameters are found. The greater the maximum coefficient of an independent parameter, the greater the number of representative values ââit has. Representative values ââare determined using a probability density function, so that each probability between the previous and current values ââis the same.The work was tested on several data sets, qualitatively different from each other, calculated manually.