dharr

Dr. David Harrington

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21 years, 33 days
University of Victoria
Professor or university staff
Victoria, British Columbia, Canada

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I am a retired professor of chemistry at the University of Victoria, BC, Canada. My research areas are electrochemistry and surface science. I have been a user of Maple since about 1990.

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These are replies submitted by dharr

On the very last line of the page (the copyright line) there is an option "consent preferences" you can click.

Yes, that does seem a poor default choice. At least on windows if you enter *.mw as a file name and then hit enter, it will filter to show only the *.mw files.

@janhardo I only plotted 1 pair, but solve said that for any t__1, you find another point at t__1 + Pi, and the curvature is also the same at those, so it is sayng that there are an infinite number of pairs.

@Alfred_F You can use plottools:-getdata to get data from a plot, but for a continuous plot as you have, the data points won't be where you want them. I recommend instead generating the data you want (and then plotting it). I made a matrix, but for nicer output you could look at a DataFrame.

gettingdata.mw

@mmcdara Yes! The number of (unrestricted) partitions for n=10000 is 3.6 x 10^106 or exactly:
36167251325636293988820471890953695495016030339315650422081868605887952568754066420592310556052906916435144

as found from 

P := Iterator:-Partition(10000);
Number(P);

I assume you mean the only condition is that no 1s appear. But then [8] would be OK?

@C_R I find the same behaviour as you for Windows 11, same build number. 

My understanding was that you are taking the small k limit under the condition that k[i]/k[j] is O(1). So I set the O(1) constant to b and then discarded beyond squared terms in k. That logic gives the same result for the exp(A34) you give here. Since we are doing the small k[s] limit, I can't see why the k[s]^2 term on the denominator wouldn't be neglected relative to the constant term, even if I could derive that expression.

There must be more to it than presented here.

@emendes You can get 20 solutions by solve(eqjerkAB) and 18 by SolveTools:-PolynomialSystem(eqjerkAB) - I'm not sure why the numbers of sulotions are different; in my experience the solution sets are usually the same. But Maple chooses the order of variables here. You can choose a variable order by putting the variables in a list. For PolynomialSystems this is an elimination list so that in general the last ones will be given in terms of the earlier ones. So you might get alpha[9,3,0]=alpha[2,3,0] but then not alpha[2,3,0] = alpha[9,3,0]. So are those two different solutions for you?

For a given order, PolynimialSystem should give an exhaustive list. Perhaps solve tried some different orders and found more solutions. If you want any order I suppose you could try giving different orders to PolynomialSystem, but there are a lot of possibilities.

@C_R Accrding to here, WSL can "run various Linux distributions, such as Ubuntu, Debian, Kali, and more".

You mean without using the Windows Subsystem for Linux? I haven't used it but I think it gives you the best of both worlds.

@Carl Love Yes, but tile vertically seems to be gone :(

@nm If a window has the focus, then holding down the windows key while you hit the right-arrow key puts the window on the right half of the screen; with left arrow to get on left half of the screen

@Alfred_F I immediately thought of adding "assuming m<>n". But that does not remove the terms for which m=n. So assuming adds information. Your idea of a constraint in this example is really a modification of the sum itself, and the solution is to modify the summation into two pieces that omit the offending terms. In that sense @mmcdara and I gave the correct answer. Maple does not have a way of automating this, and sum itself does not have this capability.

In terms of more general commands, in some cases adding an assuming clause will work, where an answer may be obtainable for some conditions on the parameters. For example, there are cases in my worksheet where adding assuming n::posint worked. This is probably as close as it gets to a real answer to your question.

In general, Maple gives generic solutions, which apply for most cases but not all. Several solvers have the option parametric, which breaks down the various cases (Summation, solve etc). For differential equations there is casesplit.

In some cases the conditions/constraints are passed as arguments to the commands, such as solve({eqn, a>0}) or commands in the Optimization package.

Bottom line is it depends on what you are doing.

@salim-barzani If you have exact instructions that can reproduce this, it might be possible to diagnose it.

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