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Equation 13 · Part 2 · Measuring Frontier Models: Contamination, Variance, and What a Score Can Support

subscript

Dbench\mathcal{D}_{\mathrm{bench}}
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

Three properties make such a set worth the effort of building. It should be drawn from your own task distribution rather than an academic proxy, because the whole failure of public benchmarks is a mismatch between Dbench\mathcal{D}_{\mathrm{bench}} and D\mathcal{D} . It should carry a checkable oracle wherever one can be constructed — an expected output, an invariant, a schema, a test — so that most of it can be re-run automatically. And it must never be published, pasted into a hosted model as an example, or committed to a public repository, because any of those actions ends its usefulness permanently.

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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 →

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