Ah, thanks.  That makes sense.  And IIRC, integrating and differentiating 
natural logarhythms is pretty straightforward in many cases, overall.

-vk



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

> [EMAIL PROTECTED] wrote: 
> > 
> > In a more "realistic" setting, would equations like this be used? 
> 
> Realistically, you'd run into routing issues which make all the math 
> significantly more complex, and you'd probably be using an efficiency 
> term rather than the x and y terms given above (total energy is thus 
> equal to the integral of source density * efficiency). 
> 
> You'd probably also discover that the efficiency equation is some form 
> of exponential decay, not linear decay. Using a flat density D, the most 
> likely formula is that eff(r) = e^(-1*r*l), where l is the loss 
> (relative to total resource transported) per unit distance. I don't 
> happen to recall how to solve that. 
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