← Mathematical compendium

Published equation contexts

Istandardised≈M+NI_{\mathrm{standardised}} \approx M + N

Why this formula appears here

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 ] .

Read the full article-specific guide →

Read the representative guide

IstandardisedI_{\mathrm{standardised}}

Symbol I_standardised

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

Read this term in its guide →
NN

Symbol N

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

Read this term in its guide →

How to interpret it

Its accuracy depends on the assumptions and range of use described in the article.

Research cited beside this formula

Learn the mathematics behind it

Published contexts (1)

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

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

Equation 4 · AI Infrastructure

Function Calling, MCP, and the Other Ways to Give a Model Tools

This equation gives an approximation: it relates the quantities while allowing an approximation.

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 ] .

Meanings in this article

  • MM: the number of distinct model-facing client applications.
Equation guide → · Article →