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词汇 minimax
释义

Definition of minimax in English:

minimax

noun ˈmɪnɪmaksˈmɪniˌmæks
Mathematics
  • 1The lowest of a set of maximum values.

    〔数〕极小化的极大,极大中的极小。比较MAXIMIN

    Compare with maximin
    Example sentencesExamples
    • The methods include the study of stable and unstable manifolds, bifurcations, index and degree, and construction of orbits as minima and minimaxes of action functionals.
    1. 1.1as modifier (in game theory) denoting a strategy that minimizes the greatest risk to a participant.
      Example sentencesExamples
      • This paper introduced the idea of minimax reasoning for lower bounding randomized algorithms, and appeared only in FOCS 83.
      • Michie recalls Turing experimenting with heuristics that later became common in chess programming (in particular minimax and best-first).
      • There are real problems of deciding whether a given ‘game’ has a global minimax or multiple local minimaxes or a minimax at all!
    2. 1.2as modifier Denoting the theory that in a game with two players, a player's smallest possible maximum loss is equal to the same player's greatest possible minimum gain.
      (两人游戏参加者之一)最大损失最低值等于最小收益最高值的理论
      Example sentencesExamples
      • One possible solution is the minimax search algorithm.
      • In game theory von Neumann proved the minimax theorem.

Origin

1940s: blend of minimum and maximum.

Definition of minimax in US English:

minimax

nounˈmɪniˌmæksˈminēˌmaks
Mathematics
  • 1The lowest of a set of maximum values.

    〔数〕极小化的极大,极大中的极小。比较MAXIMIN

    Compare with maximin
    Example sentencesExamples
    • The methods include the study of stable and unstable manifolds, bifurcations, index and degree, and construction of orbits as minima and minimaxes of action functionals.
    1. 1.1as modifier Denoting a method or strategy in game theory that minimizes the greatest risk to a participant in a game or other situation of conflict.
      (博弈论)使最大风险极小化策略(的)
      Example sentencesExamples
      • Michie recalls Turing experimenting with heuristics that later became common in chess programming (in particular minimax and best-first).
      • There are real problems of deciding whether a given ‘game’ has a global minimax or multiple local minimaxes or a minimax at all!
      • This paper introduced the idea of minimax reasoning for lower bounding randomized algorithms, and appeared only in FOCS 83.
    2. 1.2as modifier Denoting the theory that in a game with two players, a player's smallest possible maximum loss is equal to the same player's greatest possible minimum gain.
      (两人游戏参加者之一)最大损失最低值等于最小收益最高值的理论
      Example sentencesExamples
      • In game theory von Neumann proved the minimax theorem.
      • One possible solution is the minimax search algorithm.

Origin

1940s: blend of minimum and maximum.

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