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Plotting (we'll expose a function plot(x, y, label) which will take two arrays x and y and add it to a plot, with a label)
Some numerical solver, say for Schroedinger equation, and plot the results
Interactive widgets --- the compiled function can accept an integer parameter as an argument, and one can then hook it up with a slider, when the slider is moved, it would call the function again with a new value. The result would be immediately shown.
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I think there should be some good example as the default, probably the Mandelbrot (#5).
Then there should be a menu:
which if you click you can select another example, and we populate it over time with some very good demos. Some ideas:
plot(x, y, label)
which will take two arraysx
andy
and add it to a plot, with alabel
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