Equation 12 · Engineering Reliable Codex Workflows with Instructions, Tests, Sandboxes, and Human Gates
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 equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
Symbol d_g
is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Symbol C_g
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.
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
Let gate g cost , detect a latent defect with probability , and avert downstream expected loss . Run it when . with additional value for information and regulatory requirements. The quantities are rarely known precisely; the inequality structures the decision.
For background, read the article’s source list.
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