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Equation 8 · Retrieval Is an Evidence System, Not a Memory

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Zk(x)\mathcal{Z}_k(x)

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This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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Zk\mathcal{Z}_k

Symbol Z_k

ZkZ_k is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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xx

Symbol x

the writing.

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subscript

subscript

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.

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How to interpret it

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What the article says around this equation

Read the structure rather than the arithmetic. The generator is never conditioned on the corpus. It is conditioned on z — one span, or a handful — and its output distribution is a weighted account of what those spans support. Everything outside Zk(x)\mathcal{Z}_k(x) has probability zero of influencing the answer, and the system has no representation of what it excluded. REALM made the same commitment on the training side, learning a latent retriever end-to-end so that the model attends over documents drawn from a corpus at pretraining, fine-tuning and inference time, and reporting 4–16% absolute gains on open-domain question answering over prior methods [ 2 ] .

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Sources cited in the surrounding passage

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