← All parts of this equation

Equation 8 · Part 6 · The Hidden Infrastructure Bill Behind Every RAG Answer

multiplication

CLC(Q)=Q⋅pin⋅EC_{\mathrm{LC}}(Q) = Q \cdot p_{\mathrm{in}} \cdot E
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

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 CLC(Q)=Q⋅pin⋅EC_{\mathrm{LC}}(Q) = Q \cdot p_{\mathrm{in}} \cdot E. where E is the number of extra context tokens each call would need to carry in place of what retrieval would otherwise have selected, and pinp_{\mathrm{in}} is the applicable — possibly long-context-tiered — input price.

Read this part in the article →

Learn the underlying idea

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

Open the illustrated multiplication: combining factors guide →

Sources cited in the article section

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