Definition of resolvent in English:

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Pronunciation: /riˈzälvənt/ Pronunciation: /-ˈzôl-/


Denoting an equation, function, or expression that is introduced in order to reach or complete a solution.
Example sentences
  • The most significant aspect of Waring's treatment of this example is the symmetric relation between the roots of the quartic equation and its resolvent cubic.
  • We refer to this method as resolvent method and briefly review it in the Resolvent Method section.
  • If A is a closed, densely defined linear operator on H, then the resolvent set is an open. subset of the complex plane.


An equation, function, or expression used as a resolvent.
Example sentences
  • Note that the 20 x 20 entries of the resolvent can be calculated separately and independently of each other.
  • We also discuss cases where the norm of the resolvent of a bounded linear operator cannot be constant on an open set.
  • Geometrically the resolvent enables us to resolve the whole spread represented by any given set of algebraic equations into definite irreducible spreads.

For editors and proofreaders

Syllabification: re·sol·vent

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