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Published equation contexts

V=1V=1

Why this formula appears here

There is also a useful limit. If Γ\Gamma=0 , then V=1 , D=0 , and both threshold times are infinite for every δ\delta<1 . A code path that divides by zero, clips the answer to its plotting horizon, or prints a spectacularly large finite number has converted a physical no-record regime into graphics.

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Published contexts (2)

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V=1V=1

Equation 24 · Evolutionary Physics

How Fast Can a Horizon Learn Which Path You Took?

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

There is also a useful limit. If Γ\Gamma=0 , then V=1 , D=0 , and both threshold times are infinite for every δ\delta<1 . A code path that divides by zero, clips the answer to its plotting horizon, or prints a spectacularly large finite number has converted a physical no-record regime into graphics.

Equation guide → · Article →
V=1V=1

Equation 26 · AI Agents & Systems

Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Define C as the agent’s completion claim and V as external task success. Four states follow: V=1V=1. False completion is operationally expensive because it transfers discovery to the reviewer. It can arise from missing tests, misread output, stale state, premature stopping, or incentives in the prompt to present a polished result. A reliable harness should make “blocked,” “partially complete,” and “evidence inconclusive” legitimate terminal states.

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