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Equation 4 · Part 2 · Function Calling, MCP, and the Other Ways to Give a Model Tools

Symbol M

Istandardised≈M+N.I_{\mathrm{standardised}} \approx M + N.
MM

What this part means

the number of distinct model-facing client applications.

Its job in the formula

M is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

Call the number of distinct model-facing client applications M and the number of distinct external tools or data sources N .

The passage around this formula

A protocol that both sides target once, instead, lets each side write a single adapter to the shared standard, so the count becomes Istandardised≈M+NI_{\mathrm{standardised}} \approx M + N. This is an illustrative accounting, not a verified cost function — real integrations are not uniform in effort, and a bespoke connector written once is not literally rebuilt M separate times in practice. What the two expressions capture correctly is the shape of the argument both LSP and MCP’s own announcement make: the saving claimed is structural, in how many distinct things must exist and be maintained, not a claim that any single connector becomes individually cheaper to write [ 5 , 6 ] .

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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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