Anthony:

Thanks. Actually, I re-read your post, and you said that, didn't you?
The #sites = 2pi*D*integral(0-R) r *OR* pi*D*r^2... I missed the OR.  
Unfortunately, I actually wrote out the equations myself (and justified your 
and Roger's use of units for x and y-- I was intuitively bothered by the use of 
y in the same integrated equation until I worked out the units) before I 
realized this.  Even now, after crossing out unit designators in my equation 
and seeing that it works out, something intuitively bothers me about it...

So, I agree with you.. but it just nags.  And it's annoying. I (obviously) 
don't do a lot of math applications myself, just sort of a closet fan.  Am I 
making any sense, or is this just a situation of "the units worked out, 
therefore it works"?

In a more "realistic" setting, would equations like this be used? Or would it 
be more realistic to set up a finite number of simple algebra equations for 
each of a (hopefully) finite number of sites in a given area?

Since Matt did not specify that it was indeed mana that he was transporting, 
it's difficult to say how to set this up.  If it's mana fountains-- those are 
likely rare, and the algebra can be used.  If it's something like grass pollen 
from a grassy valley, then the calculus can be employed.

-vk




-------------- Original message -------------- 
From: Anthony Jackson <[EMAIL PROTECTED]> 

> [EMAIL PROTECTED] wrote: 
> > Actually, I think you're both saying generally the same thing. 
> > Roger's D is a density unit to be determined later. Anthony's is 
> > sites/area. 
> > 
> > However, I'm confused. Anthony-- where is 2pi coming from? 
> 
> circumference = 2pi * r 
> area = integral (0-R) of 2pi*r = pi R^2. 
> 
> Yes, I wrote it in an obscure way. That's because I was trying to make 
> the later math clearer. 
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