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词汇 resolvent
释义

Definition of resolvent in English:

resolvent

adjective rɪˈzɒlv(ə)nt-ˈzôl-
Mathematics
  • Denoting an equation, function, or expression that is introduced in order to reach or complete a solution.

    (方程、函数或式)预解的

    Example sentencesExamples
    • 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 rɪˈzɒlv(ə)nt-ˈzôl-
Mathematics
  • A resolvent equation, function, or expression.

    预解方程(或函数,表达式)

    Example sentencesExamples
    • Geometrically the resolvent enables us to resolve the whole spread represented by any given set of algebraic equations into definite irreducible spreads.
    • 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.

Definition of resolvent in US English:

resolvent

adjective-ˈzôl-
Mathematics
  • Denoting an equation, function, or expression that is introduced in order to reach or complete a solution.

    (方程、函数或式)预解的

    Example sentencesExamples
    • We refer to this method as resolvent method and briefly review it in the Resolvent Method section.
    • 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.
    • If A is a closed, densely defined linear operator on H, then the resolvent set is an open. subset of the complex plane.
noun-ˈzôl-
Mathematics
  • An equation, function, or expression used as a resolvent.

    预解方程(或函数,表达式)

    Example sentencesExamples
    • We also discuss cases where the norm of the resolvent of a bounded linear operator cannot be constant on an open set.
    • Note that the 20 x 20 entries of the resolvent can be calculated separately and independently of each other.
    • 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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