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Equation 24 · Part 1 · The Token Tax of Giving a Model More Tools

Symbol n

nn
nn

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.

The passage around this formula

which grows toward its ceiling as m shrinks relative to n . Anthropic reports a measured outcome consistent with that shape at their own scale: “Tool Search Tool preserves 191,300 tokens of context compared to 122,800 with Claude’s traditional approach,” described as an “85% reduction in token usage while maintaining access to your full tool library” […

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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 surrounding passage

These citations provide research context; check each source for the exact claim it supports.