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Equation 7 · Part 3 · The Logistics Tail: Sustainment as the Binding Constraint on Organised Force

Symbol L_0

P(r)=L0−2rfv,rmax⁡=v L02f.P(r) = L_0 - \frac{2rf}{v}, \qquad r_{\max} = \frac{v\,L_0}{2f}.
L0L_0

What this part means

L0L_0 occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Its job in the formula

L0L_0 occurs above the fraction bar. The numerator is divided by the entire denominator below it.

The passage around this formula

…consequence is a hard radius rather than a gradual decline. Consider a schematic model, offered to expose an assumption rather than to reproduce any historical campaign. A transport team departs a base carrying load L0L_0 , consumes f units of that same load per day for its own animals, and covers v units of distance per day. To reach a force at radius r and return, it is on the road for 2r/v days, so the load it can actually hand over is P(r)=L0−2rfv,rmax⁡=v L02fP(r) = L_0 - \frac{2rf}{v}, \qquad r_{\max} = \frac{v\,L_0}{2f}. Beyond rmax⁡r_{\max} the convoy arrives having eaten…

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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