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Equation 1 · Part 5 · The Domestication of Everything: Biotech's Loop, Closed

subscript

log⁡10(P)=−0.563 log⁡10(V)+3.65\log_{10}(P) = -0.563\,\log_{10}(V) + 3.65
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

The cost consequences follow directly from that ceiling. Humbird’s fed-batch process model, built around bioreactors at or below the 20-cubic-meter limit, converges on roughly thirty-seven dollars per kilogram of wet cell mass at the largest realistic production scale he models; a perfusion-based alternative converges on roughly fifty-one dollars per kilogram. At the very largest theoretical volumes he considers, and only by essentially eliminating growth-medium cost — a change he treats as necessary but explicitly insufficient on its own — the model’s absolute floor comes down to approximately sixteen dollars per kilogram. Growth medium, chiefly the amino acids that feed the cells, is the…

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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.

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Sources cited in the surrounding passage

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