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Macmillan English Dictionary 2nd Edition

no amount of something

  used for saying that something will never be enough to have an effect

      No amount of training could have prepared him for this.

OALD7双解

no amount of sth used for saying that sth will have no effect 即使再多（或再大）（也不） ：

No amount of encouragement would make him jump into the pool. 再怎样鼓励，他也不肯往游泳池里跳。