Equation 8 · Part 3 · The Hidden Infrastructure Bill Behind Every RAG Answer
Symbol p_in
What this part means
the applicable — possibly long-context-tiered — input price.
Its job in the formula
n is one factor in the product that computes the quantity on the left.
Full expression→Symbol p_in→Article meaning
Where the article explains it
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 is the applicable — possibly long-context-tiered — input price.
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 , , and 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 . 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 is the applicable — possibly long-context-tiered — input price.
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.
Open the illustrated subscripts: which member of a family? guide →
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Sources cited in the article section
- [1] API Pricing ↗
- [11] Gemini Developer API Pricing ↗
- [10] Retrieval Augmented Generation or Long-Context LLMs? A Comprehensive Study and Hybrid Approach ↗
These citations provide research context; check each source for the exact claim it supports.