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    So the general wave function (ignoring phase for now) is  y(x,t) = A Sin(kx + \omega t)

    Right then, my problems. What the hell is y(x,t) supposed to be? I mean, if x is displacement from the equilibrium position of a wave and t is the time.. what on earth is left for y? I can't understand why this equation isn't more like x = f(t), since the position of a point on the wave depends upon a function of time only. More concisely; what is the point/meaning behind the number you get out for y(x,t)?

    Secondly, I know omega is used to represent angular velocity.. not really much to do with a wave though, so what's it for here? Not sure what k is either, but I suspect it's to get the right wavelength.

    However the first part is the biggest problem. I simply do not understand what this formula is doing. If I were to attempt to discover a wave equation, I would try to express where a point is (x) in terms of time (t). Why are you putting both these things into Sin (or Cos), and whats the resulting number supposed to be?
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    I've suddenly realised why its a function of x and t. The wave is travelling through time AND space.. how silly how me. Not that I understand it all suddenly, just discovered the need for x and t.
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    Y is the amplitude of the wave at a given point in x space and time.... You can fix x to get a time dependent sine wave.. You can fix t to get an x dependent sine curve...
 
 
 
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