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November 20th, 2015, 10:25 AM   #1
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Exclamation Generating a discrete curve over n interval with a set sum value (under curve)

Hello all, I am trying to figure out how to generate a bunch of different curves that all fall into the same category. They take place over n (96 to 144) discrete intervals or discrete iterations (these represent months) and need to always sum up to 100,000 (dollars). So I am trying to figure out how to generate various S-curves, concave and convex curves as well as linear curves (though that's not the problem). Does anybody know exactly what class / kind / ilk of problem this is? And if so, even if you do not know how to do this, please tell me the kind of problem I am dealing with. Also, if anybody could point me towards software that I can use on Mac OS X to generate these curves, that would be great. I am considering Matlab with the symbolic math add on alone but even that seems a bit pricey. If you do know of a software, could you also perhaps explain to me how I might solve this class of problems on that platform?

Thanks all and best regards,
Oliver

Last edited by oliver92; November 20th, 2015 at 10:42 AM. Reason: I'd like to at some TEX to better define my problem
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November 21st, 2015, 03:43 AM   #2
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Also, just note that for every n_i, n_{i+1} < n_i
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