Equation 42 · Part 1 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

Symbol h_t+1

h_{t+1}=h_t+\ell_t-d_t,

h_{t+1}

What this part means

developer capability evolve.

Its job in the formula

$h_t$ +1 is the next indexed value. The formula starts from $h_t$ and applies the additions and subtractions shown on the right.

Full expressionSymbol h_t+1Article meaning

Where the article explains it

Let developer capability evolve as $h_{t+1}$ = $h_t$ + $\ell_t$ - $d_t$ , where $\ell_t$ is learning from agent-assisted work and $d_t$ is depreciation of skills no longer exercised.

The passage around this formula

Let developer capability evolve as $h_{t+1}=h_t+\ell_t-d_t$ . where $\ell_t$ is learning from agent-assisted work and $d_t$ is depreciation of skills no longer exercised. Both depend on workflow. Requiring developers to predict behavior, inspect evidence, and explain accepted changes can raise $\ell_t$ . Delegating opaque work and reviewing only summaries can raise $d_t$ .

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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

[2] Models ↗

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