Equation 1 · Part 5 · How Claude Code's Memory Actually Persists Across Sessions
Symbol T_tools
What this part means
ools is one of the signed contributions combined to compute the quantity on the left.
Its job in the formula
ools is one of the signed contributions combined to compute the quantity on the left.
Full expression→Symbol T_tools→Article meaning
The passage around this formula
Anthropic ships an interactive walkthrough of a representative session specifically to make this loading concrete, breaking startup context down by component with illustrative token counts: a system prompt around 4,200 tokens, an auto-memory index around 680 tokens, environment information around 280 tokens, MCP tool names around 120 tokens with full schemas deferred until needed, then a global CLAUDE.md around 320 tokens and a project CLAUDE.md around 1,800 tokens in that particular worked example [ 4 ] . The documentation is careful to call these “representative numbers” rather than fixed constants — actual figures move with every project’s own files — but the shape they describe is stable…
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 surrounding passage
These citations provide research context; check each source for the exact claim it supports.