Open AccessSolutions to Some Real-Life Problems Based on Mathematical Modeling and Functional Minimization
Author(s) -
Oleksii Babaskin,
Danilo Tadeo
Publication year - 2021
Publication title -
journal of student research
Language(s) - English
Resource type - Journals
ISSN - 2167-1907
DOI - 10.47611/jsrhs.v10i4.2082
Subject(s) - dependency (uml) , interval (graph theory) , function (biology) , square (algebra) , minification , constant (computer programming) , computer science , mathematical model , mathematics , mathematical optimization , artificial intelligence , statistics , geometry , combinatorics , evolutionary biology , biology , programming language
Building mathematical models that can describe, predict, and explain real-life phenomena is useful. This paper features the functional dependency model and the square of this functional dependency which hold significant information. A mathematical model that relates these functional dependencies with the average value of the function was developed to show that for an arbitrary well-behaved function, the definite integral of the square of the function over a finite interval is minimal when the function is constant over the interval. Finally, the model’s validity and accuracy in representing real-world problems for different situations in physics like mechanics, quantum mechanics, and electricity in economics were evaluated.