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What are resolvents?

What are resolvents? Here are some definitions.

Noun
  1. plural of resolvent
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His findings suggest a new approach to investigating entire functions based on the recent estimates for the resolvents of compact operators.
Our general setting features stochastic approximations of the cocoercive operator and stochastic perturbations in the evaluation of the resolvents of the set-valued operator.
Formula of peros fat resolvent was enriched with non ionic active materials and alkali fat resolvents.

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