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What does coercive mean?

Looking for the meaning or definition of the word coercive? Here's what it means.

Adjective
  1. Displaying a tendency or intent to coerce.
  2. (mathematics) Such that the ration of |F(x)| to x approaches infinity as x approaches infinity.
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Examples
He is the leading advocate of the superiority of voluntary or spontaneous forces over coercive ones.
The Commonwealth has no military force, or coercive power apart from suspension and expulsion.
The threat of force is sometimes a necessary component of coercive diplomacy.
It deals with truth and error, with behavior towards co-religionists and religious opponents, and with the coercive power of the state.
Surely it is tautological to say that coercive organizations rely upon coercion as the predominant method of control?
The British found that night bombing and incendiaries greatly increased their coercive power.

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