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Equation 14 · Part 2 · When Generation Becomes Free, Attention Becomes the Scarce Good

subscript

AtA_t
subscript

What this part means

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.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

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 that GtG_t is. If GtG_t rises by an order of magnitude, ϕt\phi_t falls by an order of magnitude unless cvc_v falls proportionally or AtA_t expands proportionally. Institutions are the mechanism by which societies have historically pushed on cvc_v . Nothing pushes usefully on AtA_t .

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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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