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Equation 6 · Part 10 · What Actually Happens Inside a Very Long Claude Context Window

subscript

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.
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

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

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the surrounding passage

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