Equation 7 · Part 1 · Measuring Tool Protocols and the Model Context Protocol: Evidence, Benchmarks, and Uncertainty
Symbol n
What this part means
n 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
n is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol n→Article meaning
The passage around this formula
A simple linear model makes the assumption underneath that spread explicit. If a system prompt costs tokens before any tools are added, and each of n tools costs on average tokens to describe, total schema overhead is approximately
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] MCP spec should address tool schema token overhead (~1000 tokens/tool consumed per session) ↗
- [12] Tool-Schema Compression Enables Agentic RAG Under Constrained Context Budgets ↗
- [11] "How Many Tools Should an LLM Agent See? A Chance-Corrected Answer" ↗
These citations provide research context; check each source for the exact claim it supports.