← All parts of this equation

Equation 13 · Part 7 · The Logistics Tail: Sustainment as the Binding Constraint on Organised Force

Symbol r_c

dSdt=T(r)−C,T(rc)=C.\frac{dS}{dt} = T(r) - C, \qquad T(r_c) = C .
rcr_c

What this part means

rcr_c is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

rcr_c is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

…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 dSdt=T(r)−C,T(rc)=C\frac{dS}{dt} = T(r) - C, \qquad T(r_c) = C . Culmination is the radius rcr_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…

Read this part in the article →

Learn the underlying idea

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

Open the illustrated subscripts: which member of a family? guide →

See this notation across published equations →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.