Equation 16 · OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol o_k
is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Symbol Omega_H
Omeg is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Symbol o
o is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
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What the article says around this equation
Let be the relevant but incompletely observed repository state. The harness emits . where is the model’s query or action and is a context budget. Two agents using the same model can behave differently because their observation functions expose different facts, truncate different histories, or describe tools differently.
Sources cited in the article section
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