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A traveling wave is a disturbance that propagates through space, causing particles in a medium to move progressively in the direction of the wave's travel. Unlike particles, waves are not localized but fill regions of space. They can be localized disturbances, like a pulse, or extend over great distances as periodic waves.12

Key characteristics of waves include:
* Wavelength ((\lambda)): The physical distance between successive crests.2
* Amplitude (A): The maximum displacement of the wave from its resting position.23
* Period ((\tau)): The time between successive oscillations.2
* Frequency (f): The number of oscillations per second, which is the reciprocal of the period ((f = 1/\tau)).2
* Wave velocity (v): The speed at which the wave propagates, related to wavelength and frequency by (v = \lambda f).2

Waves can be classified as transverse (disturbance perpendicular to propagation, like light) or longitudinal (disturbance along the path of propagation, like sound). They exhibit phenomena like diffraction and interference.4

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