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The Fisher-Rao metric , a natural metric for the space of densities leads to analytic expressions for the geodesic distance between points on this sphere .
 used for: natural metric, space of densities; used for: analytic expressions, geodesic distance
Given a phrase that describes the relationship between two words, extract the words and the lexical relationship between them. The output format should be "relation1: word1, word2; relation2: word3, word4". 
Option: conjunction, feature of, hyponym of, used for, part of, compare, evaluate for 
Text: {0} 
Answer:
 used for: natural metric, space of densities; used for: analytic expressions, geodesic distance