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Equation 5 · Part 1 · How Claude Code's Memory Actually Persists Across Sessions

Symbol T_start

TstartT_{\mathrm{start}}
TstartT_{\mathrm{start}}

What this part means

arithmetic settled at launch, and every additional CLAUDE.

Its job in the formula

TsT_start is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

The point is not the specific numbers; it is that TstartT_{\mathrm{start}} is arithmetic settled at launch, and every additional CLAUDE.

The passage around this formula

where MiM_i is the token count of the i -th memory file discovered along the walk from the filesystem root to the working directory, summed over however many, k , are found. Every term is committed before the developer types a word. The point is not the specific numbers; it is that TstartT_{\mathrm{start}} is arithmetic settled at launch, and every additional CLAUDE.md file anyone commits to a repository is a term someone chose to add to it, permanently, for the rest of that session.

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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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See this notation across published equations →

Sources cited in the article section

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