← All parts of this equation

Equation 5 · Part 2 · Claude Code, From First Principles: The Agentic Loop, Permissions, and What Actually Executes

subscript

ata_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

Let ctc_t be the context available to the model at step t : system instructions, conversation so far, file contents, tool outputs. The model is a policy π\pi that, given ctc_t , emits either a final answer or a tool call ata_t :

Read this part in the article →

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.