## What is Opsmodelling The Operation
Modelling project is the software for "Math Methods In History" research
direction. Mathematical methods are applied in many "parts" of history.
One of the most important historical object types is war, and the most
important and interesting part of war is battle. Usual historians
analyse battles qualitatively. This approach gives no reliability. We
are analysing battles with help of mathematics and it gives us much more
reliable results. There are many different mathematical
approaches to description of battles. They depend on what type of battle
is being described, what approximations are made and what we want to
achive. Our research is designated to battles with large quantities of
units (See current mathematical paper for details). This dynamics of
averages description gives well-known Lanchester equations in the
simpliest case. This method can be used not only in history, but in
physics(hydrodynamics, electrodynamics of plasma, etc), economics, etc
-- for many problems with large amount of units(particles). Rigorous
proof of this method can be done using theory of stochastic processes. I
intend to do it in my next math paper. There is another way of
proving: conducting experiment. One of the main purposes of Opsmodelling
is conducting such numerical experiment. This experiment consists of two
parts: - solving approximate equations achived with our
method of averages (numerical or presicious analitical -- the last one
only for simple cases) This is intdiff subproject.
- simulating
the battle(under this I understand imitation of battle: each unit of
fighting groups 'lives' on 2d surface of battle and attacks enemy units
(how it is doing this, we are to define. See math doc for details). This
is libbattle subproject.
After that we are to compare results
of 1. and 2. and said something about presicions and boundaries of
methods etc. The other main goal of Opsmodelling is become an
instrument for researching real historical battles (and we are to
conduct such researches). Examples of non-presicious researches, using
simplest models, can be found in appendixes of math paper. Having such
powerful simulation software we'll be able to answer more complicated
questions with high presicion. |