# resolvent

Line breaks: re|solv¦ent
Pronunciation: /rɪˈzɒlv(ə)nt /
Mathematics

## Definition of resolvent in English:

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.

### noun

A resolvent equation, function, or expression.
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.

## Definition of resolvent in:

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= trending

## More on resolvent

### More words in this category

arithmetic conformal cotangent cube discretize
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Pronunciation: ˈkʌmbəs(ə)m