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Equation 7 · Part 2 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

Symbol i

QA=∑iaivi,Q_A=\sum_i a_i v_i,
ii

What this part means

i appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.

Its job in the formula

i appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.

The passage around this formula

Lines of code, commits, pull requests, agent turns, and completed tickets can all rise while value falls. Generated code may duplicate functionality, increase maintenance surface, or shift work into review. The economically relevant throughput is QA=∑iaiviQ_A=\sum_i a_i v_i. where aia_i indicates accepted outcomes that satisfy a quality contract and viv_i weights their value. Weighting is difficult; pretending every ticket is equal is also a weighting choice.

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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