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Equation 9 · Part 1 · From BM25 to Agentic Retrieval: A History of Retrieval-Augmented Generation

Symbol f

f(qi,D)f(q_i, D)
ff

What this part means

the frequency of query term qiq_i in D , |D| is the document’s length, avgdl\mathrm{avgdl} is the average document length in the collection, and k1k_1.

Its job in the formula

f is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

where f(qiq_i, D) is the frequency of query term qiq_i in D , |D| is the document’s length, avgdl\mathrm{avgdl} is the average document length in the collection, and k1k_1 and b are tuned constants controlling term-frequency saturation and length normalization respectively.

The passage around this formula

where f(qiq_i, D) is the frequency of query term qiq_i in D , |D| is the document’s length, avgdl\mathrm{avgdl} is the average document length in the collection, and k1k_1 and b are tuned constants controlling term-frequency saturation and length normalization respectively. The saturation term is the substantive…

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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Sources cited in the article section

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