Equation 3 · Part 1 · The Token Tax of Giving a Model More Tools
Symbol s_i
What this part means
the number of tokens.
Its job in the formula
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 s_i→Article meaning
Where the article explains it
On top of it sits the actual content of the catalogue: for n tools attached to a request, each with a schema costing tokens for its name, description, and JSON Schema of parameters, the tool-visibility component of a single request’s input is
The passage around this formula
Call this fixed, tool-independent charge . On top of it sits the actual content of the catalogue: for n tools attached to a request, each with a schema costing tokens for its name, description, and JSON Schema of parameters, the tool-visibility component of a single request’s input is
Learn the underlying idea
A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.
Open the illustrated subscripts: which member of a family? guide →
See this notation across published equations →
Sources cited in the article section
- [4] Pricing ↗
- [6] Function Calling ↗
- [5] Introducing Advanced Tool Use on the Claude Developer Platform ↗
These citations provide research context; check each source for the exact claim it supports.