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I apologize for "yelling," but I was focussing on/highlighting the issue that seemed to be the source of the misunderstanding. Forgive me. Your current solution is excellent and acceptable. (I had tried something along those lines with the Basic...
*Mathematica* sometimes fails to compute symbolic solutions when posed in the direct or obvious code, but succeeds when the same fundamental problem is posed in a slightly different way, or when assumptions are made explicit, or other tricks and...
I spent nearly a week programming this in *Mathematica* (v.5, as I recall) around 2001 for half of Figure 4.10 in my book ***Pattern classification*** (2nd ed). At that time, there was no *Opacity[]* functionality either. I believe mine is the...
Assume we wish to ultimately restructure all K-12 and college mathematics courses to be [computer-based math][1], to the extent possible. Would the most effective approach to such long-term adoption of computer-based math curricula be to 1....