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Equation 3 · Part 1 · Function Calling, MCP, and the Other Ways to Give a Model Tools

Symbol I_bespoke

Ibespoke≈M×N.I_{\mathrm{bespoke}} \approx M \times N.
IbespokeI_{\mathrm{bespoke}}

What this part means

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

Its job in the formula

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

The passage around this formula

That combinatorial framing is worth making explicit, as a stylized model rather than a measured cost curve. Call the number of distinct model-facing client applications M and the number of distinct external tools or data sources N . Absent any shared protocol, a connector is needed for each pairing that is actually wanted, so the number of bespoke integrations that must be built and separately kept current scales as Ibespoke≈M×NI_{\mathrm{bespoke}} \approx M \times N. A protocol that both sides target once, instead, lets each side write a single adapter to the shared standard, so the count becomes

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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