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Equation 6 · Part 5 · When Generation Becomes Free, Attention Becomes the Scarce Good

Symbol G_t

Vt  =  Atcv,ϕt  =  VtGt  =  Atcv Gt.V_t \;=\; \frac{A_t}{c_v}, \qquad \phi_t \;=\; \frac{V_t}{G_t} \;=\; \frac{A_t}{c_v \, G_t}.
GtG_t

What this part means

the number of claims placed before some audience in period t , let AtA_t be that audience’s total attention budget, and let cvc_v be the average attention cost of verifying one claim.

Its job in the formula

GtG_t occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

Where the article explains it

Let GtG_t be the number of claims placed before some audience in period t , let AtA_t be that audience’s total attention budget, and let cvc_v be the average attention cost of verifying one claim.

The passage around this formula

An accounting identity makes the consequence visible. Let GtG_t be the number of claims placed before some audience in period t , let AtA_t be that audience’s total attention budget, and let cvc_v be the average attention cost of verifying one claim. The number of claims that can be verified, and the fraction ϕt\phi_t of what arrives that is actually checked, are…

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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.

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