Equation 3 · Part 2 · How AI Models Learned to Use Tools: A Protocol History
Symbol M
What this part means
the number of distinct hosts — editors, for LSP.
Its job in the formula
M is one factor in the product that computes the quantity on the left.
Full expression→Symbol M→Article meaning
Where the article explains it
Let M be the number of distinct hosts — editors, for LSP; agent frameworks and model-serving applications, for MCP — and N be the number of distinct targets — languages, for LSP; tools and data sources, for MCP.
The passage around this formula
That parallel is precise enough to formalize, and doing so exposes the actual economic assumption both protocols are making rather than merely asserting it. Let M be the number of distinct hosts — editors, for LSP; agent frameworks and model-serving applications, for MCP — and N be the number of distinct targets — languages, for LSP; tools and data sources, for MCP. Wiring every host to every target independently, the way plugins and early framework wrappers did, requires . separate integrations, because nothing built for one pair transfers to any other. A protocol that both sides implement exactly once instead collapses this to
Learn the underlying idea
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
- [10] Introducing the Model Context Protocol ↗
- [11] Specification ↗
- [12] JSON-RPC 2.0 Specification ↗
- [13] Language Server Protocol ↗
These citations provide research context; check each source for the exact claim it supports.