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Equation 13 · Part 2 · Claude Code, From First Principles: The Agentic Loop, Permissions, and What Actually Executes

subscript

∣ct∣|c_t|
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

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 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 →

Sources cited in the article section

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