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Equation 3 · The Hidden Infrastructure Bill Behind Every RAG Answer

What does this equation mean?

r(S)r(S)

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rr

Symbol r

r 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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SS

Symbol S

index size in gigabytes.

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How to interpret it

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What the article says around this equation

where S is index size in gigabytes, r(S) is Pinecone’s documented read units per query as a function of that size, Q is monthly query volume, and pstorep_{\mathrm{store}} , prup_{\mathrm{ru}} , and prerankp_{\mathrm{rerank}} are the published per-unit rates given earlier. Set against it, the cost of skipping retrieval and instead inlining a fixed block of extra context on every single call is

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