OpenEuphoria

Re: Army Composition

• Posted by Dan Moyer <DANIELMOYER at prodigy.net> Oct 11, 2001
• 370 views

CK,

Just a math note:

in my earlier response which gave you a way to let the user set how many
ranks or command tiers there are, and how many are commanded by each tier, I
mentioned that it used factorials, and that's not true.

Factorials are a sequence of multiplications of each integer from 1 to some
number (ie, 1*2*3*4 is 4! or 4 factorial);  what was involved here (in the
computation of the denominator of the expression which gives the number of
people in a command level) was a summation of products of a diminishing set
of multiplicands (ie, start with a set of 5,10,10,20; multiply all together
and save that product; now remove the last member of the set & multiply the
remaining members of the set (5*10*10) and add that product to the first
product; then remove the last member of that set and multiply (5*10), and
add that product to the previous sum; then add (5), and then add 1).

Clear?  ;)

Dan


----- Original Message -----
From: "C. K. Lester" <cklester at yahoo.com>
To: "EUforum" <EUforum at topica.com>
Sent: Wednesday, October 10, 2001 8:32 PM
Subject: RE: Army Composition


>
> Hey, Dan, thanks for the help. All truth will soon be revealed.
>
> > The number "10556" was  calculated by simple algebra:
> >
> > --Soldiers - no requirements
> > --Squad Leader - commands 20 soldiers
> > --Lt. - commands 10 Squad Leaders
> > --Captain - commands 10 Lt.s
> > --General - commands 5 Captains
> >
> >
> > -- soldiers + squad leaders + Lts. + Captains + Generals = Population
> > (army!)
> > --s + (s/20) + ((s/20)/10) + (((s/20)/10)/10 ) + ((((s/20)/10)/10)/5)= P
> > -- s + s/20  +  s/200 +  s/2000  + s/10000 = p
> > -- 10000s + 500s + 50s + 5s + s = 10000p
> > -- 10556s = 10000p
> > -- s = 1000p/10556
> >
> >
> > I don't understand what you mean by "4 levels and 6 levels" of rank.
You
> > only specified 5 levels of rank.
>
> Right. But "What If" I needed to calculate for a differently leveled
> organization? What if my calculations required a 4-tier organization or a
> 6-tier organization, other than the 5-tier organization we've hard coded
so
> far...?
>
> What if we had { "Soldier" , "Leader" , "Captain" , "General" }?
>
> > If you want to find out how many different ranks there are, just look at
> > each rank var, if not zero, increment a "NumberOfRanks" counter.
>
> Yeah. That's what I mean. But how to implement? That's what I need to
know.
>
> > I didn't really understand what you're doing with the matrix, either,
and
> > the change in your rank system,
> > ranks = { "Soldier" , "Leader" , "Captain" , "Sergeant" , "General" }
> > seems wrong, it should be:
> > ranks = { "Soldier" , "Leader" , "Sergeant" ,"Captain"  , "General" }
>
> Okay! Sounds right to me. But anything would.
>
> I'm just using familiar labels. We could also be using
>
> { "Pion" , "Assistant Manager" , "Manager" , "VP" , "President" }
>
> or something similar. The labels aren't what's important... It's the
tiered
> organization that matters.
>
> Hopefully I've shed a little light on the above.
>
> -ck
>
>
>