Equation 7 · Part 8 · Measuring AI Agent Reliability: What the Evidence Actually Supports
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
Start with the metric that made repeated sampling a standard practice. When OpenAI’s Codex team evaluated a code-generating model against the HumanEval benchmark, they needed a way to score the strategy of drawing several candidate solutions from the model and keeping the best one. The obvious approach — generate exactly k samples per problem and check whether any of them pass — has an undesirable property: it is a valid estimate but a high-variance one, since it throws away information every time you happen to generate more or fewer than k samples. Their fix was to over-sample: draw n total samples per task, observe how many of them, c , actually pass, and then compute the exact probability…
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 surrounding passage
These citations provide research context; check each source for the exact claim it supports.