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Equation 3 · Part 2 · Retrieval Is an Evidence System, Not a Memory

Symbol x

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

What this part means

the writing.

Its job in the formula

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

Where the article explains it

Writing x for the query, y for the output, and Zk(x)\mathcal{Z}_k(x) for the top k passages returned by a retriever with parameters η\eta :

The passage around this formula

The retrieval literature said the opposite. Lewis and colleagues introduced RAG explicitly as a combination of parametric and non-parametric memory, and the architectural point is that the second is a different kind of object, not an extension of the first [ 1 ] . Their formulation treats the retrieved passage as a latent variable to be marginalised over. Writing x for the query, y for the output, and Zk(x)\mathcal{Z}_k(x) for the top k passages returned by a retriever with parameters η\eta :

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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