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The SDT representation is an analytic expression and following the theoretical physics literature , can be normalized to have unit L2 norm-making it a square-root density , which is identified with a point on a unit Hilbert sphere , whose intrinsic geometry is fully known .
 hyponym of: SDT representation, analytic expression; used for: square-root density, it; feature of: intrinsic geometry, unit Hilbert sphere
Given options, please tell me the relationships of all the listed entity pairs.Output format is "relation1: word1, word2; relation2: word3, word4". 
Option: conjunction, feature of, hyponym of, used for, part of, compare, evaluate for 
Text: {0} 
 Entity Pairs:  SDT representation, analytic expression; square-root density, it; intrinsic geometry, unit Hilbert sphere 
Answer:
 hyponym of: SDT representation, analytic expression; used for: square-root density, it; feature of: intrinsic geometry, unit Hilbert sphere