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Equation 13 · Part 2 · Ten Failure Modes That Define Production RAG

Symbol k

keff=k−d,k_{\text{eff}} = k - d,
kk

What this part means

the number of retrieved slots.

Its job in the formula

k is part of the quantity the equation computes from the expression on the right.

Where the article explains it

If d of the k retrieved slots are occupied by near-duplicates of an already-retrieved passage, the effective evidence budget is not k but keff=k−dk_{\text{eff}} = k - d.

The passage around this formula

…a queue. A ranking function that scores by similarity to the query has no reason to penalise duplication, so a query that matches one instance of a widely republished passage tends to match all of them, and a naive top- k selection can fill a majority of its slots with restatements of a single fact rather than covering the breadth of what is actually in the corpus. If d of the k retrieved slots are occupied by near-duplicates of an already-retrieved passage, the effective evidence budget is not k but [displayed…

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Learn the underlying idea

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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