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In mathematics, resolvent meaning "that which resolves" may refer to:
- Resolvent formalism in operator theory
- Resolvent set in operator theory, the set of points where an operator is "well-behaved"
- Feller process#Resolvent in probability theory
- Resolvent (Galois theory) of an equation for a permutation group, in particular:
- Resolvent (logic), the clause produced by a resolution
- In the consensus theorem, the term produced by a consensus in Boolean logic
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