I would like to combine all the plots into a single figure. The curves S1, S2, and S3 represent the manufacturer’s profit as Ce​ varies, and S12, S22, and S33 represent the retailer’s profit for the same changes in Ce​. I want all of these displayed together in one plot using a dual y-axis: one axis for the manufacturer’s profit and the other for the retailer’s profit, with Ce on the x-axis. How to create such a dual-axis plot with appropriate scaling so that the differences between the curves are also clearly visible.

Download All_plots_Combined.mw

Why are characters printed with additional back ticks when decimal HTML code is used (see output (3) below). lprint((3)) does not print them.

Looks like an exception. Is there a reason for that? Can it be used for something?

Download back_ticks_with_decimal_code.mw

Good afternoon.

Here is (what appears to be) a simple assignment problem that involves scheduling 3 jobs through 2 machines, and I wish to minimize the total time required to complete all 3 jobs. Each job must be processed first on machine #1 before going to machine #2,and each machine can only handle one job at a time.

I have determined the optimal sequence to minimize the makespan (i.e., the completion time of the last job on machine #2) using a manual method and I was wondering if someone could review this (please see attached) and recommend a structured LP method or let me know if such a procedure exists in Maple's Optimization package.

Any help will be appreciated! 

Thanks for reading.

MaplePrimes_Nov_4.mw

I want to write the equation of the line in the form a*x + b*y + c=0, with igcd(a,b,c)=1 of this code

restart;
with(geometry);
point(A, 2, -3);
point(B, -1, 6);
sort(Equation(line(d, [A, B], [x, y])));

I tried by hand

-1/3*sort(Equation(line(d, [A, B], [x, y])))

How can I get the result 3x + y - 3=0 automatically?

PS. I tried and get the answer 3x + y - 3 =0.

restart;
with(geometry);
point(A, 2, -3);
point(B, -1, 6);
eq := sort(Equation(line(AB, [A, B], [x, y])));
k := igcd(coeff(lhs(eq), x), coeff(lhs(eq), y));
sort(eq*sign(coeff(lhs(eq), x))/k);

Embedded typesetting code in names is still giving me troubles. This is because the functionality and interplay of the characters ", &, #, ; and ` are not documented (appart from some MaplePrimes posts). Sometimes an escape  character (is that term correct?) is required sometimes it can be omitted or replaced by something else. I read somewhere that in former Maple versions strings were composed with back ticks `...` and this has moved to double quotes but both ways work for typesetting (if one knows how to).

Overall, there is allot of guesswork and trial-and-error involved in typesetting.

In the below I discovered a pecularity that prevented me to add certain symbols to the favorite palette.

On the positive side I found anwsers for an older question. On negative side an atomic identity has to be converted to atomic to add it to the favourites. This confuses me.

Maybe someone knows why this has to be done? Does a dragg operation strips of certain characters? Or is it in the case below that the use of the ampersand plays a role which is normally reserved to define neutral operators. Or is it fully unrelated because HTML codes and HTML entities for special symbols start with an ampersand (however an &D entitiy does not seem to exist).

Besides an explanation for the double atomization any insights and guidance with repect to typesetting of names is highly appreciated. Creating an italic captial D as a variable/name has been anwsered to my full satisfaction here. This question is more about a better understanding of typesetting.

Download dragging_atomic.mw

After Maple 2025 start-up (with disabled start-up page) and closing the blank worksheet (note the dark grey workspace) there is still one mserver running (highlighted in yellow).

I have not seen a difference when I kill this process and open a new worksheet which starts a new mserver.exe task (and run Maple code).

The task seems to be inactive (no processor load and memory allocation visible).

Is it a task only used by the interface task (javaw.exe)?
What might be the purpose of this mserver.exe? 

Update: The task is inactive in a sense that it does not show immetiate activity when annother mserver.exe task runs (i.e. exceuting a worksheet). However, after a day memory allocation shows changes. When exactly these changes happend is unclear.

Although several similar problems were asked many years ago (see, e.g., the section “Formal linear algebra” here), there appears to be no new progress so far. It is said that such functionalities exists in the Physics package, but I cannot find any corresponding examples. 
In short, can Maple at present calculate these examples in terms of symbolic array constructs completely automatically?

I need to compute complicated numerical integral, and my Maple integration does not produce very stable results. Is the a way to do that on line? 

In Maple 2025.1, why don't all the hotkeys show up when I press the Alt key?

Maple 2025.0 is OK，but update to 2025.1 all the hotkeys don't show up when I press the Alt key.Why?

My name is William Cheung.  I am a Snapdragon X AIPC product manager.  I am reaching out to inquire about the current and future compatibility of Maple on Snapdragon X Windows PCs, which run on ARM64 architecture. With the growing adoption of ARM-based systems in enterprise and academic environments—especially those powered by Qualcomm’s Snapdragon X Elite platform—we are evaluating software solutions that can run efficiently on these devices.

Could you please confirm:

1. Whether Maple, as a commercial product, currently supports Windows on ARM (either natively or via emulation)?
2. If not, is there a roadmap or timeline for ARM-native support?
3. Are there any known performance or compatibility issues when running Maple on Snapdragon X PCs using Microsoft’s Prism emulation?

Note that I have successfully installed and run Maple 2025 with sample worksheet files on my Snapdragon X Windows PC.

Thank you for your time and assistance. I look forward to your response.

Hello, I am struggling with a Maple Flow document that has gotten a too large to manage - maybe around 100 printed pages of relatively straightforward calculations, basic plots, etc. - nothing exotic or what should be computationally intensive.  The worksheet takes a long time to load, if it loads at all, is prone to freezing and requires force quitting of the OpenJDK Platform binary when this happens, and oftentimes generates a kernal connection error:

So, in short, lots of issues that make usability a challenge. The document is easily broken into smaller sections, which I would prefer to do anyway. I have attempted to use the RunWorksheet command and can more or less get it to work for very simple cases:

However, the output is not ideal in that it includes the variable string. This command also doesn't appear to pass custom-defined units. The other issue is that when I test this same syntax on a fully-developed, formatted, etc., Maple Flow worksheet, I get invalid input warnings and can never get any values returned.

Ideally, what I would like to do is call a variable defined in one Maple Flow worksheet and have it be immediately usable in another Maple Flow document, or at least usable with some minimal processing. If anybody has any ideas, I would appreciate it.

Thanks

Hello, I am trying to get the Maple Flow add-in for Excel working and am following the step-by-step directions in Chapter 7.3 of the Maple Flow manual. My computer meets the requirements listed in Chapter 7.2.

After selecting the WMIMPLEX64.xla file as directed in the procedure, I get the following error in Excel:

The Excel toolbar also does not show the same six icons in the add-in toolbar that are shown in the Maple Flow manual (see the manual excerpt below); it appears that the missing icon is the key icon that would initiate the Maple Flow worksheet wizard.

If anybody has been able to get this to work or has suggestions to resolve these errors, I would appreciate any advice.

Thanks

Excerpt from the Maple Flow manual:

Hello Maple Community,

I'm working on solving a PDE system for fluid flow in an L-shaped cavity (similar to previous work on H-shaped and square domains ) recently asked by some one here. I've implemented the governing equations in Maple but need help generating contour plots.

I'm attaching:
1. My Maple worksheet l_shape_cavity.mw
2. A PDF with the problem description and equations L_shape_cavity_work.pdf

The main issues I'm facing are:
- Setting up proper boundary conditions for the L-shaped domain
- Generating contour plots for velocity and pressure fields
- Ensuring the solution converges properly

Could you please help me with:
1. Correct implementation of the L-shaped domain geometry
2. Generating proper contour plots
3. Any suggestions for improving the numerical solution

Thank you for your assistance!

Is there a way to use alternative plotting packages in Maple such as open source options: Plotly or Matplotlib?

https://plotly.com/python/

https://matplotlib.org/

I've been using the $include statement when using code written in Visual Basic Editor for packages quite extensively, and this works very nice.

Would it be possible to outsource code to external files for code not in packages / libraries as well? If yes, how would this be done?