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Equation 7 · Part 3 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

Symbol a_i

QA=∑iaivi,Q_A=\sum_i a_i v_i,
aia_i

What this part means

aia_i is an input to the expression that computes the quantity on the left.

Its job in the formula

aia_i is an input to the expression that computes the quantity on the left.

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 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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See this notation across published equations →

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