Definition of resolvent in English:


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


  • 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.


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  • 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.

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a tortoiseshell cat

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