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Equation 2 · Part 2 · Ten Failure Modes That Define Production RAG

Symbol Δ

sˉ=Δ2,smax⁡=Δ,\bar{s} = \frac{\Delta}{2}, \qquad s_{\max} = \Delta,
Δ\Delta

What this part means

Δ occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Its job in the formula

Δ occurs above the fraction bar. The numerator is divided by the entire denominator below it.

The passage around this formula

…a snapshot of a particular assembly moment, and its staleness is a function of how long ago that moment was, not of how good the retriever scoring the snapshot happens to be. Under a periodic full rebuild with interval Δ\Delta , and changes to the corpus arriving at roughly uniform times within that interval, the expected age of an index entry just before the next rebuild and the worst case obey sˉ=Δ2,smax⁡=Δ\bar{s} = \frac{\Delta}{2}, \qquad s_{\max} = \Delta. which is a statement about the rebuild schedule, not about retrieval quality — a system can have an…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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