Thank you very much for your reply. It looks like I did indeed bite off more than I can chew. But I really appreciate that you’ve given me some avenues to explore. I’m a retired Physicist that loves math, and particularly how to use computers to model the real world.
Again I thank you for taking the time to respond. Is your dissertation readable to a LiveCoder that has no experience in any other programming language? Roger > On Jan 23, 2022, at 5:11 PM, doc hawk via use-livecode > <use-livecode@lists.runrev.com> wrote: > > > roger reasoned, > >> Yet, as I mentioned in the beginning, Graphing tools like Good Grapher on >> the Mac can do it. And, I wonder how? > > My guess would be using either differentials or differences, and drawing from > the current point for a small distance, with some watching for branch points. > > There are any number of numeric methods to approximate the derivative. > > You could even iterate after each point until “close enough”. > > E.g., if your calculated x,y(x) is 4.2, 7.4, you would plug these into the > original function and see if it indeed is zero. > > If so, good, go to the next point. If not, try a smaller move, or plug in > adjacent values of 7.3 and 7.5 for y, and see if either gets you closer to > zero. > > For my dissertation, I developed a third branch of dynamic programming, which > built spaces around trial solutions, and then collapsing to successively > finer grds. > > In the process, I unwittingly reinvented cache memory . . . the search space > was *far* to large to keep all potential moves, so they were dropped from the > cache and recalculated when needed. > > We never did calculate the dimensionality of the baseline problem we were > working on—we know that it was *at least* sixty dimensional, but almost > certainly past that, as the choice spaces were very much not compact . . . > > > > > _______________________________________________ > use-livecode mailing list > use-livecode@lists.runrev.com > Please visit this url to subscribe, unsubscribe and manage your subscription > preferences: > http://lists.runrev.com/mailman/listinfo/use-livecode _______________________________________________ use-livecode mailing list use-livecode@lists.runrev.com Please visit this url to subscribe, unsubscribe and manage your subscription preferences: http://lists.runrev.com/mailman/listinfo/use-livecode
