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Equation 15 · The Bandwidth of Culture: Transmission Fidelity to 2100

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ρh\rho_h

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ordinary human-to-human transmission fidelity. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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ρh\rho_h

Symbol rho_h

ordinary human-to-human transmission fidelity.

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subscript

subscript

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.

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What the article says around this equation

where ρh\rho_h is ordinary human-to-human transmission fidelity, ρm\rho_m is the fidelity of a machine-mediated re-emission — empirically lower per the tail-collapse result above — and sts_t is the share of newly circulating content, at time t , that is machine-generated rather than human-originated. This decomposition does one useful piece of work: it turns “will culture’s transmission fidelity fall this century” into the answerable, if still hard, empirical question of how sts_t moves, and it is that question the scenarios below are actually scenarios about.

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