Equation 12 · Part 2 · Claude Code, From First Principles: The Agentic Loop, Permissions, and What Actually Executes
subscript
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.
Full expression→subscript→Article meaning
The passage around this formula
The loop repeats until emits a stop rather than a tool call. Nothing in this is exotic; it is the standard shape of a tool-using agent. What matters for this article is what each symbol is standing in for in a real, shipped product: is not a hypothetical action but a call to a real interpreter with real side effects on a real machine, is not simulated feedback but the actual return value of that call, and the boundary between “the model decided” and “the harness allowed” is enforced by software, not by the model’s own restraint.
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
- [2] How Claude Code works ↗
- [11] Dive into Claude Code: The Design Space of Today's and Future AI Agent Systems ↗
These citations provide research context; check each source for the exact claim it supports.