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Equation 10 · Part 2 · The Bandwidth of Culture: Transmission Fidelity to 2100

subscript

ItI_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

Here CtC_t is the stock of cultural complexity in circulation at time t ; ρt\rho_t ∈\in [0,1] is the transmission-fidelity coefficient — the share of CtC_t that survives one round of copying, the same quantity Henrich’s Tasmania case shows collapsing when the effective transmitting population shrinks; ItI_t is genuinely new human innovation entering the pool; and LtL_t is loss from forgetting, obsolescence, or population decline. This is the formal skeleton underneath everything in the two sections above: print and the internet acted mainly by raising ρt\rho_t and the volume ItI_t can reach an audience with; the telegraph and broadcast acted mainly by collapsing the delay between an addition to ItI_t and its…

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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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