@C_R 

Yes it is vague idea at this time. Basically want to see how Finite Topological Spaces may help us to study the intresting time-points of a dynamical system e.g. Fixed Points, Bifurcation points etc. Similar work is already there in some form in fields namely Qualitative Theory of Diff Eqs.

More explicitely one may like to visualize the topology of the point-cloud at or around an intresting time-point of the dynamical system.

Error, (in pdsolve/numeric/plot) unable to compute solution for t>.942477796076937:
Newton iteration is not converging
NULL;

@nm thanx indeed. However poblem 2) didn't fix. Let me repharase it below:

For a family of subsets S of set X, extract all those a,b in X (in the form of [a,b] ) for which the following condition holds true:
 Whenever a is member of some subset from S, then b is also member of that subset.

Preferably it should be done while avoiding any slower repetative loops, please. Thanks again.

@Athar Kharal dear @acer i m still waiting for some advice

@acer yes it is a 2d-input, document and with sections but no GUI Tables inputs. Still I am not clear about presence of code edit regions.

@Rouben Rostamian  yes, i am asking how i can obtain all user entered inputs of a maple doc, which is on disk and is not currently open in Maple.

@acer Yes you are very much right. kindly help. thanx

@acer I think you are right, ineed something like latex([(1),(2),(3)]). The list [(1),(2),(3)] should be constructed automattically. Of course convert() may be used but problems is to know the last number used as label.

My problem is to find a seemless LaTeX conversion of my problems solved through Clickable Math. I do not know if MathML may be converted into LaTeX. One program MathParser claimed this but did not produce any output.

@acer tahnks indeed. In fact i want to solve various problem exercises for my class lectures (in latex). I intend to apply latex() command to the list of labels, and put the LaTeX output into class lectures. waiting.

@sazroberson would you please give some example code how to this all? thanx

@Axel Vogt yes same I got and don't know what this [] is doing in the expression. How to tackle it? Moreover [] does not look like a student-solution!

sorry, I did try this but it did not work it ended into e^[] s etc. what is this [] here? my problem still there.

@Carl Love Yes they are lists and should be enclosed in []. I copied to show that the pattern keeps on repeating for indefinite time. The rules should exhibit this cyclic behaviour. Perhaps yes it also needed for sublists.

thanx

in fact i was looking for a solution using seq and /or map commands. Using for-loop makes it non-compact.