Hi I want to add waves with different frequencies and velocities and do a real time simulation to demonstrate the concept of group and phase velocity in physics. Wikipedia has an article here http://en.wikipedia.org/wiki/Group_velocity where we can see the simulations for group velocities. This one (http://en.wikipedia.org/wiki/File:Wave_opposite-group-phase- velocity.gif) done by user geek3 has a source code in mathematica. I want to do this in sage. But I should be able to add more than 2 waves and see the simulation. How can I do that ?
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