Question: Fun with Maple and waves

Below is a link to something I did today with Maple. I'm relatively new to Maple and am only familar with a handful of it's built-in functions, so a lot of what is shown in the worksheet could probably be done a lot easier - for example I think Jacques, as an answer to a question of mine here, was suggesting that using Maple tables might be a better way of doing what I did here with arrays. Anyhow, I had a lot of fun doing it the way I did, and I thought maybe someone here might find something in it useful, or may just like to have a look at what a "newbie" such as myself might be doing with Maple. All it does, is take a bunch of sine waves at various frequencies and amplitudes and adds them together to produce a complicated looking wave, and then it deconstructs that complicated wave into it's various wave components (frequencies and amplitudes), displays the components as well as the wave represented by the components, and then finally puts it all back together again and displays that. The link displays the page as an HTML, but it has a link at the top to download an archive containing the Maple11 worksheet. a Wave Deconstruct / Reconstruct
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