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Equation 6 · Part 3 · A Practitioner's Map of Agent Evaluation Frameworks

subscript

zα/2≈1.96z_{\alpha/2} \approx 1.96
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

gives a rough sense of how much noise sits under a given n , even granting the generous and almost certainly false assumption that every task in the set is an equally difficult coin flip. At the widest plausible spread, p^\hat p = 0.5 , a 95% interval ( zα/2z_{\alpha/2} ≈\approx 1.96 ) works out to roughly ±\pm 13.9 points on a fifty-task set — close to the size of tau-bench’s original airline domain or GAIA’s seventy-five-question Level 3 tier — versus roughly ±\pm 4.4 points on SWE-bench Verified’s five hundred tasks, or ±\pm 5.1 points on OSWorld’s 369. A three- or four-point difference between two systems on a fifty- or seventy-five-task slice is, on this generous accounting, close to noise; the…

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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

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