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What is a frequency?

What is a frequency? Here are some definitions.

Noun
  1. (uncountable) The rate of occurrence of anything; the relationship between incidence and time period.
  2. (uncountable) The property of occurring often rather than infrequently.
  3. (countable) The quotient of the number of times
  4. (statistics) number of times an event occurred in an experiment (absolute frequency)
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Examples
Information lies in the frequency and amplitude of the waves recorded in different channels.
The noise is a low frequency vibration which can drive you up the wall when the wind sets it into homes and farms.
We exploit the dependence of the oscillation frequency on light intensity to generate both photophobic and phototropic movement of the gel.
In Q-Tof mass spectrometers ions are focused by a radio frequency lens before transmission to the quadrupole.
It also helps for eupepsia, and reduces constipation frequency and turinary bladder complications.
Modulation involves raising or lowering the frequency of the carrier wave in proportion to the analogue signal.

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