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The Beautiful Thing About Waves

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As pseudoscientific woomongers will never cease to remind you, waves are everywhere. For once, they're right. Fundamentally, a wave can be defined as a disturbance that travels at some velocity v. These can be travelling waves (which are self-explanatory because, you know, they propagate from one place to another), standing waves (the usual example is a plucked guitar string - the string is fixed at 2 points and so the wave produced ends up interfering with itself), transverse waves (the wave oscillates perpendicular to the axis of propagation, as in a light wave), longitudinal waves (the wave oscillates along the axis of propagation, as in a sound wave), mechanical waves (the wave travels through a medium, as in ripples on a pond) and nonmechanical waves (for example, light again - it doesn't need a medium to travel through). In other words, waves are all around us, from light to sound to pressure waves to ripples on a pond. I might sound like a five-year-old at th...