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What is a decimation?

What is a decimation? Here are some definitions.

Noun
  1. (strictly) The killing or punishment of every tenth person, usually by lot.
  2. (generally) The killing or destruction of any large portion of a population.
  3. A tithe or the act of tithing.
  4. (mathematics) The creation of a new sequence comprising only every nth element of a source sequence.
  5. (telecommunications) A digital signal-processing technique for reducing the number of samples in a discrete-time signal.
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Examples
They are better suited to the decimation and enfeeblement of vulnerable civilians than to destroying promptly an enemy's military units.
This produced numerous field executions and the frequent use of decimation against undisciplined units.
The cohesiveness and courage of the defense, despite the decimation of the command and control system, has been a revelation.
They say their ongoing dispute is no longer just about pay but also about preventing the decimation of Britain's fire service.
In 1853 Perry was greeted with an earthquake centered right in the city, causing further decimation.
He believes that despite the decimation in technology stocks, there are still lots of opportunities for investors.

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