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Equation 43 · AI Feeds on the Distance Between an Intention and an Outcome

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αm\alpha_m

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model or agent-configuration identity. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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αm\alpha_m

Symbol alpha_m

model or agent-configuration identity.

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subscript

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

Here qtrq_{tr} is supplied input-context length in tokens, not tokens consumed after the agent has begun acting; using post-attempt expenditure would contaminate the predictor with behavior. The term dtd_t is a predeclared ordinary benchmark-difficulty score based only on endpoint-side, redaction-invariant features such as repository size band, static dependency reach, test-suite scope, and selected task-family label. It is deliberately conventional and admittedly imperfect. The terms urepo(t)u_{\mathrm{repo}(t)} and utu_t are repository and task random effects, while αm\alpha_m represents model or agent-configuration identity. The baseline includes model identity, token length, ordinary difficulty, and task…
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Here qtrq_{tr} is supplied input-context length in tokens, not tokens consumed after the agent has begun acting; using post-attempt expenditure would contaminate the predictor with behavior. The term dtd_t is a predeclared ordinary benchmark-difficulty score based only on endpoint-side, redaction-invariant features such as repository size band, static dependency reach, test-suite scope, and selected task-family label. It is deliberately conventional and admittedly imperfect. The terms urepo(t)u_{\mathrm{repo}(t)} and utu_t are repository and task random effects, while αm\alpha_m represents model or agent-configuration identity. The baseline includes model identity, token length, ordinary difficulty, and task horizon exactly so that the new variable cannot win by repeating any one of them.

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