Mathematical Modelling Hints

There are two characteristics you have to emphasize when you turn to
mathematical modelling, these characteristics referring to the object.
These characteristics are informative, but they also allow you to
mathematically formalize the object. The formalization involves the
possibility to create a correspondence between the characteristics of
the original object and adequate mathematical notions, such as
numbers, functions and so on. The connections identified and the
hypothetical ones can be described using mathematical relations, such
as equations, inequalities, formulas and so on. The result of such a
process is the mathematical model.This model is a system of maths
relations, which describe the essential properties of the original.
Therefore, the solution of a real problem can be reduced to solving a
mathematical problem. The mathematical symbols, especially the
quantitative ones, represent one of the most common means of
describing the properties of the surrounding world. A mathematical
description can be tested from the point of view of the logical
contradictions, of the estimation of the level of the results
obtained, of the data processing and so on.This method appeared and
was developed in physics. For example, there is the mathematical model
for the straight uniform movement, where D is the distance covered by
the vehicle, s is its speed and t is the time registered. Then, the
universal attraction law is an excellent model of the interaction
between the Sun and the rest of the planets. Mathematical modelling is
a creative activity, which is why it is quite complicated to describe
it in a formalized way.