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Equation 18 · Part 2 · OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence

subscript

bkb_k
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

where qkq_k is the model’s query or action and bkb_k is a context budget. Two agents using the same model can behave differently because their observation functions ΩH\Omega_H expose different facts, truncate different histories, or describe tools differently.

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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.