← Mathematical compendium

Published equation contexts

r(S)r(S)

Why this formula appears here

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

Read the full article-specific guide →

Read the representative guide

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.

Read this term in its guide →

How to interpret it

Read this expression with the definitions, units, and assumptions supplied by the article.

Research cited beside this formula

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

r(S)r(S)

Equation 3 · AI Agents & Systems

The Hidden Infrastructure Bill Behind Every RAG Answer

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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

Meanings in this article

  • SS: index size in gigabytes.
Equation guide → · Article →