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Equation 6 · Part 4 · When Generation Becomes Free, Attention Becomes the Scarce Good

Symbol phi_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}.
ϕt\phi_t

What this part means

the fraction.

Its job in the formula

phiti_t is an input to the expression that computes the quantity on the left.

Where the article explains it

The number of claims that can be verified, and the fraction ϕt\phi_t of what arrives that is actually checked, are then Vt  =  Atcv,ϕt  =  VtGt  =  Atcv GtV_t \;=\; \frac{A_t}{c_v}, \qquad \phi_t \;=\; \frac{V_t}{G_t} \;=\; \frac{A_t}{c_v \, G_t}.

The passage around this formula

…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 then Vt  =  Atcv,ϕt  =  VtGt  =  Atcv GtV_t \;=\; \frac{A_t}{c_v}, \qquad \phi_t \;=\; \frac{V_t}{G_t} \;=\; \frac{A_t}{c_v \, G_t}. This is bookkeeping, not a finding. Its only content is what it forbids. Simon’s point was that AtA_t is bounded by hours and by human processing capacity, and that this bound is not responsive to technology in the way…

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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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