Your response is of much help let me tell you, and thanks for taking the time in responding.
Ansys seems to be an amazing software to one day get to play with, as it would answer many of my inquiries in
life. I am studying computer science and looking forward to fully understanding this material that you just
provided me, in two years from now, as that will be the time in which I will eventually graduate with such
degree. Thus far I am only using Matlab (a software I already love) to create 'simple' visual reports to find
patterns in daily games of Fantasy 5. It really is the only game that calls my attention due to the nature of
it in odds.
I am inferring that by granularity of the "mesh" for each individual ball you are trying to ascertain exact
values for the diameter of each ball as well as its chemical properties thus to understand how much
pressure/force is caused to one another in order to understand the speed in impact, including also the base of
the machine which is made of acrylic, or am I incorrect? In regards to paint, I doubt that adds up much of a
proportion to its fraction of each ball. I mean, it seems as each ball weighs approximately 2.6 grams, so out
of those 2.6, how much influence does the paint would actually add to it? Gravity indeed does have a massive
impact towards reactions of each ball and in fact this is were physics never fails as of today. Gravity is a
constant in Earths ground, although you may wish to take in consideration the amount of gravity being pulled
from the Moon itself. Such as today, which the moon will be impacting force in tonight's draw? Would this
create some some kind of effect to space energy, does helping to increase the actual speed of the air being
blown inside the XYZ dimensions of the lottery machine? It seems as this game and all of many others, only
create more questions than answers to be considered. However I still believe that this is not coincidence or
"lady luck", rather, physics/quantum at work. Perhaps you may find a lot of answers in "Lagrangian mechanics",
although I don't have perfect understanding of the logical solution, I do get the point behind a pendulum at
work, where it doesn't matter how much mix up the balls have; f = ma will always make the balls fall between
one another. However, the only difference in the actual lottery machine is that each ball is traveling at a
limit of 400 Cubic feet per minute. I find that a simple science formula is at work in this, such as
d/v = t, v/d = t
t/d = v, d/t = v
v/t = d, t/v= d
And so forth, the point is that it doesn't matter how you place it, numbers will always repeat itself at one
point in time. The question is when? lol .
Last week my statistics professor began teaching Binomial distributions for which I seem to be having
difficulties in understanding. He did mention that Statistics it self will Never make any one win the lottery (although I strongly disagree).
But you mentioned the Bernoulli distributions and after looking at it, I'm sure that once a good understanding
is grasped, something can be attained out of the lottery system.
Last night I was thinking if the fact that lotteries have different machines and ball sets, thus increases the
odds of winning?
For instance, lets refer to the Florida Fantasy five which consists of;
Machine | Ball Sets
1 A B C D E F
2 A B C D E F
3 A B C D E F
We have 3 different machines which perhaps run at different speeds, in addition to 18 different sets of 36 balls
each which can be arranged in many unknown different ways. For instance, if we were to get the permutations of
these sets of balls using nPr = n!/(n-r)!, our result comes out to 4,895 ways that these ball sets can be
arranged (or ~13 years for all permutations to be played), without taking in consideration that there are a total of 36 balls that can be arranged all in
different ways depending on the ball set itself. woooooo - just to think of it, my mind is being blown.
My thought is that having to build a simulated lottery system would take me way longer than creating an actual
physical one. All I am missing is the proportions of it. ughh.
AND BY THE WAY, I'D BE WILLING TO PAY FOR YOUR ALL READY CREATED SIMULATION PROJECT. WHAT DO YOU THINK?