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Equation 32 · Part 2 · The Bandwidth of Culture: Transmission Fidelity to 2100

subscript

sts_t
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

None of this licenses treating what comes next as an inevitability arriving from outside human choice, which is the trap a great deal of writing about this same material falls into by reframing it as a story about a coming discontinuity in intelligence rather than what it actually is: a story about a transmission system’s parameters, and who is deciding how to set them. The recurrence in the fourth section names the free variables plainly — ρt\rho_t , sts_t , ItI_t , MtM_t — and every one of them is, at least in part, a matter of institutional and economic choice: what gets filtered before training, what gets labeled, what gets paid for as verified rather than accepted as ambient. A species that…

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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.

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

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