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Published equation contexts

G(n)=Wuseful(n)Cinference(n)+Cmerge(n)+Creview(n)G(n)=\frac{W_{\mathrm{useful}}(n)} {C_{\mathrm{inference}}(n)+C_{\mathrm{merge}}(n)+C_{\mathrm{review}}(n)}

Why this formula appears here

The important metric is not maximum concurrent workers. It is useful independent work per coordination token. For n workers, G(n)=Wuseful(n)Cinference(n)+Cmerge(n)+Creview(n)G(n)=\frac{W_{\mathrm{useful}}(n)} {C_{\mathrm{inference}}(n)+C_{\mathrm{merge}}(n)+C_{\mathrm{review}}(n)}. G(n) can decline when workers rediscover shared context, return verbose summaries, edit overlapping files, or rely on inconsistent assumptions. Start parallelism with read-heavy mapping, test analysis, security review, and documentation verification. Isolate writers in worktrees and keep a single owner for global invariants.

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WusefulW_{\mathrm{useful}}

Symbol W_useful

WuW_useful occurs above the fraction bar. The numerator is divided by the entire denominator below it.

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CinferenceC_{\mathrm{inference}}

Symbol C_inference

CiC_inference occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

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CmergeC_{\mathrm{merge}}

Symbol C_merge

CmC_merge occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

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CreviewC_{\mathrm{review}}

Symbol C_review

CrC_review occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

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Cinference(n)+Cmerge(n)+Creview(n)C_{\mathrm{inference}}(n)+C_{\mathrm{merge}}(n)+C_{\mathrm{review}}(n)

Denominator: C_inference(n)+C_merge(n)+C_review(n)

The complete quantity below the fraction bar; it must be nonzero for this division.

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How to interpret it

With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.

Research cited beside this formula

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

G(n)=Wuseful(n)Cinference(n)+Cmerge(n)+Creview(n).G(n)=\frac{W_{\mathrm{useful}}(n)} {C_{\mathrm{inference}}(n)+C_{\mathrm{merge}}(n)+C_{\mathrm{review}}(n)}.

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

The important metric is not maximum concurrent workers. It is useful independent work per coordination token. For n workers, G(n)=Wuseful(n)Cinference(n)+Cmerge(n)+Creview(n)G(n)=\frac{W_{\mathrm{useful}}(n)} {C_{\mathrm{inference}}(n)+C_{\mathrm{merge}}(n)+C_{\mathrm{review}}(n)}. G(n) can decline when workers rediscover shared context, return verbose summaries, edit overlapping files, or rely on inconsistent assumptions. Start parallelism with read-heavy mapping, test analysis, security review, and documentation verification. Isolate writers in worktrees and keep a single owner for global invariants.

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