subtraction

The passage around this formula

The concept is routinely taught as a matter of judgement. It is more usefully written as an identity. Let C be the consumption rate of a force in the field and T(r) the sustained throughput that can be delivered to it at distance r from the last high-capacity transfer point. Stock at the front then evolves as $\frac{dS}{dt} = T(r) - C, \qquad T(r_c) = C$. Culmination is the radius $r_c$ at which delivery equals consumption. Beyond it the force draws down accumulated stock and the clock is set by how much was accumulated, not by the enemy. Every term is estimable in advance: consumption from the force’s composition and expected tempo, throughput from transfer capacity, road and rail condition, and the self-consumption…

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