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Equation 4 · Part 3 · How AI Models Learned to Use Tools: A Protocol History

Symbol N

Cstandardized=M+N.C_{\text{standardized}} = M + N.
NN

What this part means

both large and still growing, the gap between M ×\times N and M + N dominates every other consideration.

Its job in the formula

N is one of the signed contributions combined to compute the quantity on the left.

Where the article explains it

When M and N are both large and still growing, the gap between M ×\times N and M + N dominates every other consideration; when either is small — a single application talking to a handful of tools it controls — a bespoke integration can still be cheaper than adopting a shared protocol at all, and treating standardization as free in that case would be cargo-culting rather than economizing.

The passage around this formula

…that the fixed cost of building and maintaining the standard itself is smaller than the integrations it removes, and that those removed integrations were genuinely redundant rather than differently necessary. When M and N are both large and still growing, the gap between M ×\times N and M + N dominates every other consideration; when either is small — a single application talking to a handful of tools it controls — a bespoke integration can still be cheaper than adopting a shared protocol at all, and treating…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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