Equation 5 · From Autocomplete to Delegation: The Technical History Behind OpenAI Codex
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Symbol k
k is part of the quantity the equation computes from the expression on the right.
=
The expressions on both sides represent the same quantity under the stated assumptions.
See an illustrated explanation →superscript
A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.
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What the article says around this equation
The sampling result made the search interpretation explicit. If independent candidates have success probability p , the chance of at least one success among k is . Real samples are not independent and the paper used estimators appropriate to its setup, but the conceptual point holds: model probability plus an evaluator can search a program space. Without a reliable selector, many candidates become review burden.
Sources cited in the article section
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