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Equation 1 · Part 9 · The Bandwidth of Culture: Transmission Fidelity to 2100

subscript

Ct+1=ρtCt+It−LtC_{t+1} = \rho_t C_t + I_t - L_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

A useful way to hold fidelity, bandwidth, and the machine-mediated layer in one place is a simple stock-and-flow account of a corpus’s cultural complexity — the accumulated stock of techniques, texts, and transmissible content a population (human, or now human-plus-model) actually carries forward. In its classical form, without any machine term, this recurrence says that next period’s complexity is this period’s complexity that survived transmission, plus whatever genuinely new content was added, minus whatever was lost to forgetting or to a shrinking population of transmitters: Ct+1=ρtCt+It−LtC_{t+1} = \rho_t C_t + I_t - L_t. Here CtC_t is the stock of cultural complexity in circulation at time t ; ρt\rho_t ∈\in [0,1] is…

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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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