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Equation 6 · Part 9 · What Actually Happens Inside a Very Long Claude Context Window

multiplication

CLC∼O(n2⋅d),CRAG∼O(k2⋅d),k≪n.C_{\mathrm{LC}} \sim O(n^2 \cdot d), \qquad C_{\mathrm{RAG}} \sim O(k^2 \cdot d), \qquad k \ll n.
multiplication

What this part means

Multiply the quantities on either side.

Its job in the formula

Multiply the quantities on either side.

The passage around this formula

It is worth being precise about what “just use a longer context” actually replaces, because the alternative is not vague. Retrieval-augmented generation, as originally formalised by Patrick Lewis and colleagues, pairs a parametric model with a separate non-parametric retrieval step: a retriever selects a small number of passages likely to be relevant to a query from a much larger corpus, and only those selected passages, not the whole corpus, are placed in the model’s context for generation [ 14 ] . This publication’s own reporting on retrieval-augmented systems covers that mechanism, its indexing choices, and its failure modes at length elsewhere; the point relevant here is narrower and…

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Learn the underlying idea

Multiplication scales one quantity by another. A dot, a cross, or adjacent symbols can indicate a product.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.