The purpose of Psychomathematics
To understand and predict behaviour of humans and other entities.
Any chaotic system examined closely becomes ordered.

Large chemical systems appear chaotic. It is important to understand the underlying principles of the system. When we do, the behaviour of a system can be defined.

Basic principles
a = an action
c = coercibility
e = entity
g = a group of entities
n = nominal, stable
nm = number of members in a peer group
ob = ordinary behaviour pattern
p = predictability
pp = group psychology / peer pressure
r = regulating factor

An Example,
Predicting nominality through peer group coercibility.

A predictable entity can be persuaded to a task via a group psychology, such as when a person becomes part of a mob or peer group or gang.

We begin with the average solo entity having a coercibility of -1. ie not readily coercible to anything out of the ordinary behaviour pattern.

e.c = -1;

Now we create a peer group of 100 entities. The probability of the entity becoming coercible rises as the peer group number increases.

g = 100e
e.c ~= nm

if an entity e becomes coercible c to an action a when a peer group number is greater than 100, we get
e.c|a > g = 100

from this we can calculate the coercibility contribution per individual

e.c = nm/100
e.c = 1

Let us introduce a regulating factor r, such as a police officer or authority.
as r increases e.c. decreases by a factor of 1.
e.c. = 1/r

thus to maintain a nominal(undisturbed) system n, 1 regulator r is required every 100e. when n>=1 there is order, when n<1 there is disturbance.
n = r/g
n = 1

as e increases the probability of n becoming disturbed increases
n = 1r/2g
n = 0.5, a less nominal number

we now have a useable statistic to improve nominality.