Equation 11 · Part 2 · The Hidden Infrastructure Bill Behind Every RAG Answer
subscript
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.
Full expression→subscript→Article meaning
The passage around this formula
Filling in the billion-chunk illustration used throughout: at a hundred thousand queries a month, comes to roughly 2,195 dollars of storage plus about 11,500 dollars of combined query and rerank cost, or approximately 13,700 dollars a month, not counting the one-time ingestion charge. If the same workload instead pasted 100,000 tokens of context into every call to substitute for what retrieval would have selected, at OpenAI’s gpt-5.6-sol long-context input rate of ten dollars per million tokens, comes to one dollar per query, or 100,000 dollars a month — about seven times the retrieval pipeline’s bill. This is arithmetic on a stated hypothetical workload, not…
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 →
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.