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Published equation contexts

ht+1=ht+ℓt−dth_{t+1}=h_t+\ell_t-d_t

Why this formula appears here

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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ht+1=ht+ℓt−dt,h_{t+1}=h_t+\ell_t-d_t,

Equation 42 · AI Industry

The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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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