@Markiyan Hirnyk Yes, much of the ListTools package is inefficient. Looking at showstat(ListTools:-Categorize), one can see that the time complexity is at least quadratic in the list length; possibly greater than quadratic because of the building of a sequence by iterative appending in statement 7:

result[j]:= result[j], i;

Since there's no need for us to actually construct the equivalence classes in this case, Statistics:-Tally is a better choice.

@Joe Riel Thanks for the correction, Joe. I don't know where I got the idea that it was builtin. I took a look at showstat(subsindets). It is a masterpiece of simplicity! Just 15 short statements, 24 lines (including the code brackets end ..., etc.).

@Joe Riel Thanks for the correction, Joe. I don't know where I got the idea that it was builtin. I took a look at showstat(subsindets). It is a masterpiece of simplicity! Just 15 short statements, 24 lines (including the code brackets end ..., etc.).

How about first solving the problem in the plane z=1 (or, equivalently, z=0)? I don't know that there is such a solution, but I haven't looked.

Did that help? Did you figure out which series was correct, the alternating or the non-alternating?

Did that help? Did you figure out which series was correct, the alternating or the non-alternating?

Roughly how many equations?  I just need the order of magnitude. How many variables? Are the equations composed of rational expressions?

@J4James But what was the expected output in the example that you posted?

For example, what is "the desired output"?

A bug just introduced into the Maple 16.02 Standard GUI plot renderer makes it appear that the above procedure doesn't work with regular plots: The entire plot appears blank. But if you use the context menu "Manipulator" to "Pan" the plot, the curve will appear.

A bug just introduced into the Maple 16.02 Standard GUI plot renderer makes it appear that the above procedure doesn't work with regular plots: The entire plot appears blank. But if you use the context menu "Manipulator" to "Pan" the plot, the curve will appear.

@Alejandro Jakubi Aha! This explains why the Eraser procedure that I posted yesterday in the thread "BubblePlot plotting view" doesn't work on regular plots. The procedure erases points that are not within the VIEW specification of a PLOT by changing the value to undefined. So, it seems that CURVES that have any points set to undefined will not display on the initial view. I don't know yet whether this affects structures other than CURVES, and maybe it's just CURVES specified by a hardware float Matrix. I will test.

@Alejandro Jakubi Aha! This explains why the Eraser procedure that I posted yesterday in the thread "BubblePlot plotting view" doesn't work on regular plots. The procedure erases points that are not within the VIEW specification of a PLOT by changing the value to undefined. So, it seems that CURVES that have any points set to undefined will not display on the initial view. I don't know yet whether this affects structures other than CURVES, and maybe it's just CURVES specified by a hardware float Matrix. I will test.

Okay, I get it. Thanks for the clarification. So is each list LL[k] the complete list of all indices i such that S[i] intersect S[k] = {}?

Oops, I meant Shift-Enter also. Control-Enter gives me the page break in both 1D and 2D. Shift-Enter gives me a newline in both, but no extra space.