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Equation 14 · Part 1 · The Bandwidth of Culture: Transmission Fidelity to 2100

Symbol rho_t

ρt=ρh+(ρm−ρh) st,ρm<ρh\rho_t = \rho_h + (\rho_m - \rho_h)\, s_t, \qquad \rho_m < \rho_h
ρt\rho_t

What this part means

rhoto_t is part of the quantity the equation computes from the expression on the right.

Its job in the formula

rhoto_t is part of the quantity the equation computes from the expression on the right.

The passage around this formula

…negative where it substitutes synthetic recombination for content that would otherwise have required, and thereby preserved, a human transmission chain. The mechanism Shumailov and colleagues describe operates by pulling ρt\rho_t itself down as the share of machine-mediated content in what gets re-ingested rises: ρt=ρh+(ρm−ρh) st,ρm<ρh\rho_t = \rho_h + (\rho_m - \rho_h)\, s_t, \qquad \rho_m < \rho_h. 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…

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