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Equation 1 · Part 7 · The Bandwidth of Culture: Transmission Fidelity to 2100

addition

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

What this part means

Add the term after the plus sign to the term or group before it.

Its job in the formula

Add the term after the plus sign to the term or group before it.

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

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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