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Equation 3 · Part 1 · The Economics, Energy, and Physical Limits of Tool Protocols and the Model Context Protocol

Symbol T_tools

TtoolsT_{\mathrm{tools}}
TtoolsT_{\mathrm{tools}}

What this part means

TtT_tools 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

TtT_tools 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

TsystemT_{\mathrm{system}} is the operator’s own instructions, TtoolsT_{\mathrm{tools}} is the serialised cost of every tool schema currently declared, TexchangeT_{\mathrm{exchange}} is the live user message and the model’s own reply, and the summation term is every prior tool result the session has decided to keep. The point of writing it this way is that TtoolsT_{\mathrm{tools}}…

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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.

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Sources cited in the article section

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