The Wave reference article from the Simple Wikipedia on 01-May-2004
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Wave

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A wave is a way to transfer energy, such as light and sound, from one point to another without any particle of the medium being permanently displaced. It does not have a travel of matter from a source to a receiver.

There are two types of waves in terms of the methods of vibration:

Transverse wave: the vibrations of particles are perpendicular to the direction of travel of wave.

Longitudinal wave: the vibrations of particles are parallel to the direction of travel of wave.