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α=1\alpha = 1

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where the hats denote scores each rescaled onto a comparable range before combination. At α\alpha = 1 the ranking is purely semantic; at α\alpha = 0 it collapses to lexical search; α\alpha = 0.5 weights the two signals equally.

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α=1\alpha = 1

Equation 3 · AI Agents & Systems

Building Production RAG: An Advanced Technical Guide

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

where the hats denote scores each rescaled onto a comparable range before combination. At α\alpha = 1 the ranking is purely semantic; at α\alpha = 0 it collapses to lexical search; α\alpha = 0.5 weights the two signals equally.

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