Numerator: claims supported by the retrieved context
The complete quantity above the fraction bar.
Read this term in its guide →Published equation contexts
Why this formula appears here
Ragas is a widely used reference-free evaluation framework built explicitly around this separation: it scores retrieval effectiveness, the faithfulness with which a model uses retrieved passages, and generation quality, without requiring a human-written ground-truth answer for every query [ 4 ] . Its faithfulness metric is defined mechanically rather than as a vague notion of “sounding grounded”: a response is decomposed into individual factual claims, each claim is checked against the retrieved context to see whether it can be inferred from it, and the score is the resulting ratio, as the framework’s own documentation states [ 5 ] : . Notice what this formula does and…
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Denominator: total claims in the response
The complete quantity below the fraction bar; it must be nonzero for this division.
Read this term in its guide →How to interpret it
With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.
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Published contexts (1)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 16 · AI Agents & Systems
Measuring What a RAG System Retrieves, Not Just What It Answers
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
Ragas is a widely used reference-free evaluation framework built explicitly around this separation: it scores retrieval effectiveness, the faithfulness with which a model uses retrieved passages, and generation quality, without requiring a human-written ground-truth answer for every query [ 4 ] . Its faithfulness metric is defined mechanically rather than as a vague notion of “sounding grounded”: a response is decomposed into individual factual claims, each claim is checked against the retrieved context to see whether it can be inferred from it, and the score is the resulting ratio, as the framework’s own documentation states [ 5 ] : . Notice what this formula does and…
Equation guide → · Article →