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Equation 14 · Part 1 · Claude Code, From First Principles: The Agentic Loop, Permissions, and What Actually Executes

Symbol t

tt
tt

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.

The passage around this formula

The growth is monotonic and the response is a threshold rule, which is worth writing down because it is the one piece of real mechanism in this section rather than product description. Treat |ctc_t| as the token size of the context at step t and CmaxC_{\mathrm{max}} as the model’s context limit. Compaction is triggered once accumulated context crosses a configurable fraction τ\tau of that limit:

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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 article section

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