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Equation 42 · Part 2 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

Symbol h_t

ht+1=ht+ℓt−dt,h_{t+1}=h_t+\ell_t-d_t,
hth_t

What this part means

hth_t is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

hth_t is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

Let developer capability evolve as ht+1=ht+ℓt−dth_{t+1}=h_t+\ell_t-d_t. where ℓt\ell_t is learning from agent-assisted work and dtd_t is depreciation of skills no longer exercised. Both depend on workflow. Requiring developers to predict behavior, inspect evidence, and explain accepted changes can raise ℓt\ell_t . Delegating opaque work and reviewing only summaries can raise dtd_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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Sources cited in the article section

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