Equation 17 · Part 1 · The Token Tax of Giving a Model More Tools
Symbol T
What this part means
T 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
T 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 T→Article meaning
The passage around this formula
…to catalogue size: “Only the Tool Search Tool loaded upfront (~500 tokens)” [ 5 ] . Applied to the same 58-tool, roughly 55,000-token example described above, that reframes the earlier formula: instead of the full T(n) + n , a session that only ever actually needs m of the n available tools pays approximately + + m , where is the search tool’s own fixed overhead. The fraction of the original tax avoided is
Learn the underlying idea
A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.
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Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.