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Published equation contexts

keff=k−dk_{\text{eff}} = k - d

Why this formula appears here

Real corpora are full of near-duplicates: a press release syndicated across a dozen outlets, a policy document copied into three different wikis, boilerplate repeated at the top of every ticket in 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…

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keffk_{\text{eff}}

Symbol k_eff

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

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Published contexts (1)

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keff=k−d,k_{\text{eff}} = k - d,

Equation 13 · AI Agents & Systems

Ten Failure Modes That Define Production RAG

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Real corpora are full of near-duplicates: a press release syndicated across a dozen outlets, a policy document copied into three different wikis, boilerplate repeated at the top of every ticket in 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…

Meanings in this article

  • kk: the number of retrieved slots.
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