For the Mathematicians.

[Roger Guay]

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 at 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 . . .
> 
> 
> 
> 
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