# Definition of resolvent in English:

## resolvent

Syllabification: re·sol·vent
Pronunciation: /riˈzälvənt, -ˈzôl- /
Mathematics

Denoting an equation, function, or expression that is introduced in order to reach or complete a solution.
More 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.

### noun

An equation, function, or expression used as a resolvent.
More 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.

## More definitions of resolvent

Definition of resolvent in: