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Equation 14 · Part 6 · The Bandwidth of Culture: Transmission Fidelity to 2100

addition

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

MtM_t is the net machine-mediated contribution: positive where model-assisted re-emission genuinely helps a human originator reach or refine an audience they could not otherwise reach, 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…

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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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