Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Example: In the expression

expr:=1/sqrt(2)*(x+a);

I prefer the output

over

because it is shorter. To fix that I do

expr:=1/sqrt(2)*(x+a);
subs(sqrt(2) = 2/%sqrt(2), %)

The problem with that way is that all occurences of sqrt(2) are replaced, which I do not want. I only want to replace sqrt(2)/2.

I thought about selecting all products that contain 1/2 and sqrt(2) among others and apply the substitution only there.

How to do this in a (simple?) way?

Maybe there are other ways without subs.

Hi,

For a pedagogical purpose, I am trying to build an animation that illustrates the connection between:

  • the area under the curve of a probability density function, and

  • the cumulative distribution function of a random variable.

The idea is to let a bound x vary and show simultaneously:

  • the accumulated area under the density curve up to x;

  • the corresponding value of the CDF .

My goal is to obtain a visual representation that helps students clearly understand that the cumulative distribution function represents the accumulated area under the density function.

Do you have suggestions on how to organize this cleanly in Maple, possibly with synchronized animation or an interactive visualization?

Thank you very much for your help.

Q_CDF_PDF.mw

I could not find the style management straight away and asked Maples AI assistant. That did not work for the 2026 release since the format menu does not exist anymore (see below). My hope was that AI could scan the help system for me.

Thanks — with Maple 2026 on Windows the locations and menus are stable. Below are the exact places and step‑by‑step actions to find, install and manage user styles (stylesheets).
1. Open the Stylesheet manager (recommended)-1. In a worksheet choose the menu: Format → Stylesheet... (or Format → Manage Stylesheets in some builds).
-1. The dialog shows the current stylesheet and a list of available stylesheets (built‑in and user). From there you can Apply, Edit, Save As or Import a stylesheet.

2. Typical filesystem locations (Maple 2026, Windows)• Built‑in stylesheets (read‑only):
C:\Program Files\Maplesoft\Maple 2026\lib\stylesheets
• User stylesheets (per‑user area):
%APPDATA%\Maplesoft\Maple 2026\stylesheets — this expands typically to C:\Users\<YourUser>\AppData\Roaming\Maplesoft\Maple 2026\stylesheets.

3. Installing a custom stylesheet file-1. Method A (recommended): Open Maple, Format → Stylesheet → Import (or use the Stylesheet dialog’s Import button) and choose your stylesheet file. Maple copies it into your user styles folder.
-1. Method B (manual): Place the stylesheet file into the user stylesheets folder above. Then restart Maple (or use Format → Stylesheet → Refresh if available).
-1. If you want the stylesheet to be available to all users, copy it into the built‑in folder, but you will need administrator rights.

4. Creating / saving your stylesheet-1. Edit an existing stylesheet via Format → Stylesheet → Edit, then use Save As to store a copy in your user styles folder with a new name.
-1. Stylesheet files are XML/Maple worksheet fragments — you can back them up or share the file directly.

5. Opening a stylesheet file directly-1. Use File → Open in Maple and change the file type filter to Stylesheet (or choose the .mpl/.mws/.stylesheet file). This opens the stylesheet for inspection or editing.

6. Editing outside Maple (advanced)• Stylesheet files are XML/worksheet text. You may edit them in a text editor, but make a backup first. After editing, place the file in the user styles folder and restart Maple.
• Avoid corrupting the XML structure — if Maple fails to load the stylesheet, restore from your backup.

7. Troubleshooting• If your new stylesheet doesn’t appear, confirm it is in %APPDATA%\Maplesoft\Maple 2026\stylesheets and restart Maple.
• If you lack permission to save into Program Files, use the user styles folder instead.
• To remove a user stylesheet, delete its file from the user styles folder (Maple must be restarted to update the list).

If you like, I can (a) show the exact content structure of a simple example stylesheet you can paste into a file, or (b) give step‑by‑step screenshots (described) for the Format → Stylesheet dialog in Maple 2026. Which would you prefer?

Maple online help pages do not show which version of Maple the help pages for.

At the bottom or top of each help page there really should be something to tell the user which Maple version the help pages for.

For example, going to help on ?type and clicking details opens this page

https://www.maplesoft.com/support/help/Maple/view.aspx?path=type#bkmrk2

But I noticed this web page is different from the one I am looking at now on my installed Maple 2026. 

The above online page is missing new types. Here is screen side by side. Once the above web page opens, scolling down a little below where it shows "defined types" and you will see this difference:

You see, the online Maple help page is missing types shown in the installed version of the help page in Maple 2026.

And user has no clue looking at the web page, which version of Maple these help pages are for, as there is no indication any where on the page.

1) Why the web help pages are out of date?

2) Why is there no mention on the page, which Maple version there help pages represent?

Maple 2026 and 2025.2 can't solve this ode.  It actually hangs which is worst.

The ode is from a textbook

ode:=x*diff(y(x),x) = y(x)*cos(ln(y(x)/x)); 
dsolve(ode,y(x), singsol=all);

It just gets stuck.

But we see by just inspection that y(x)=x is a solution

odetest(y(x)=x,ode)

Gives zero. I solved this also by hand as HOMOGENEOUS and got y(x)=x

Trace shows Maple hangs in "trying homogeneous D" for some unknown reason

CPU is also running very high, which seems it is stuck in a LOOP internally.

Any one could shed more light what is happening here and why it hangs on this basic ode? I think the hang in loop could indicate a bug.

Any older version of Maple able to solve this?

I have various display issues with Maple 2026 which seem to be device dependent on Windows 11.

After several un-installations and re-installation I want to see what heapens if I do not import preferences from a previous version. However, the Maple installer does not give me this choice anymore and Maple 2026 starts with the once imported preferences.

Under C:\Users\me\.maplesoft\ I could not find anything that looked like a preference file.

(screenshot updated)

Can someone remind me where this information is stored under which file name?

Objective: Solve a system of two equations.

Obstacle: Generating these two equations depends on millions of previous combinations as well as derivatives.

In other words, we've reached the maximum limit that Maple on my computer can handle.

What would be better, to leave the equations aside or to upgrade my computer?

restart

with(plots)

with(linalg)

H01 := -gamma11*S11-gamma12*S12-gamma13*S13-gamma14*S14-gamma15*S15-gamma16*S16-gamma17*S17-gamma18*S18-gamma19*S19-gamma110*S110-gamma111*S111-gamma112*S112-eta1*(S11^2+S110^2+S111^2+S112^2+S12^2+S13^2+S14^2+S15^2+S16^2+S17^2+S18^2+S19^2)-J1*(S11*S12+S12*S13+S13*S14+S14*S18+S18*S112+S112*S111+S111*S110+S110*S19+S19*S15+S15*S11+S16*(S12+S110+S15+S17)+S17*(S113+S111+S18))

H02 := -gamma21*S21-gamma22*S22-gamma23*S23-gamma24*S24-gamma25*S25-gamma26*S26-gamma27*S27-gamma28*S28-gamma29*S29-gamma210*S210-gamma211*S211-gamma212*S212-eta2*(S21^2+S210^2+S211^2+S212^2+S22^2+S23^2+S24^2+S25^2+S26^2+S27^2+S28^2+S29^2)-J1*(S21*S22+S22*S23+S23*S24+S24*S28+S28*S212+S212*S211+S211*S210+S210*S29+S29*S25+S25*S21+S26*(S22+S210+S25+S27)+S27*(S213+S211+S28))

Z01 := exp(-beta*H01)

Z01 := add(add(add(add(add(add(add(add(add(add(add(add(Z01, S11 = [-2, -1, 0, 1, 2]), S12 = [-2, -1, 0, 1, 2]), S13 = [-2, -1, 0, 1, 2]), S14 = [-2, -1, 0, 1, 2]), S15 = [-2, -1, 0, 1, 2]), S16 = [-2, -1, 0, 1, 2]), S17 = [-2, -1, 0, 1, 2]), S18 = [-2, -1, 0, 1, 2]), S19 = [-2, -1, 0, 1, 2]), S110 = [-2, -1, 0, 1, 2]), S111 = [-2, -1, 0, 1, 2]), S112 = [-2, -1, 0, 1, 2])

NULL

Z02 := exp(-beta*H02)

Z02 := add(add(add(add(add(add(add(add(add(add(add(add(Z02, S21 = [-2, -1, 0, 1, 2]), S22 = [-2, -1, 0, 1, 2]), S23 = [-2, -1, 0, 1, 2]), S24 = [-2, -1, 0, 1, 2]), S25 = [-2, -1, 0, 1, 2]), S26 = [-2, -1, 0, 1, 2]), S27 = [-2, -1, 0, 1, 2]), S28 = [-2, -1, 0, 1, 2]), S29 = [-2, -1, 0, 1, 2]), S210 = [-2, -1, 0, 1, 2]), S211 = [-2, -1, 0, 1, 2]), S212 = [-2, -1, 0, 1, 2])

NULL

G0 := -(1/24)*N*ln(Z01*Z02)/beta

NULL

m01 := -24*(diff(G0, gamma11))/N

m02 := -24*(diff(G0, gamma21))/N

NULL

beta := 11.605/T; gamma11 := 2*J1*m1+2*J2*m2; eta1 := Delta; gamma21 := 2*J1*m2+2*J2*m1; eta2 := Delta; gamma12 := J1*m1+2*J2*m2; gamma22 := J1*m2+2*J2*m1; gamma13 := J1*m1+2*J2*m2; gamma23 := J1*m2+2*J2*m1; gamma14 := 2*J1*m1+2*J2*m2; gamma24 := 2*J1*m2+2*J2*m1; gamma15 := J1*m1+2*J2*m2; gamma25 := J1*m2+2*J2*m1; gamma16 := 2*J2*m2; gamma26 := 2*J2*m1; gamma17 := 2*J2*m2; gamma27 := 2*J2*m1; gamma18 := J1*m1+2*J2*m2; gamma28 := J1*m2+2*J2*m1; gamma19 := 2*J1*m1+2*J2*m2; gamma29 := 2*J1*m2+2*J2*m1; gamma110 := J1*m1+2*J2*m2; gamma210 := J1*m2+2*J2*m1; gamma111 := J1*m1+2*J2*m2; gamma211 := J1*m2+2*J2*m1; gamma112 := 2*J1*m1+2*J2*m2; gamma212 := 2*J1*m2+2*J2*m1

NULL

eq1 := m1 = m01

eq2 := m2 = m02

fsolve(subs(J1 = 2*.83, N = 1, J2 = -2*.58, Delta = 0, m1 = 0.1e-1, {eq1, eq2}), {T, m2}, T = 0 .. 220, m2 = -.1 .. .1)

fsolve(subs(J1 = 2*.83, N = 1, J2 = -2*.58, T = 1, Delta = 0, {eq1, eq2}), {m1, m2}, m1 = -5 .. 5, m2 = -5 .. 5)

{m1 = 2.000000000, m2 = -2.000000000}

(1)

NULL

Download Maple_forum_test.mw

After system restart on Windows 11:

Maple 2026 was installed as usual with administrator rights and with import of preferences from Maple 2025. Other Maple versions are working on the same computer.

Does this never-seen-before output gives a hint what is wrong with my installation. Any suggestions what to do next?

That's the installed version:

On the same Windows 11 installation, Maple 2025 displays equation labels but Maple 2026 not. Maple 2025 settings were imported for the 2026 installation. (Crtl-l + number does return "invalid label". I assume that not labels have been generated)

Has anbody observed the same? Any suggestions what I could check/do?

Other observation: The output font does not look the same

 

Is there an easy way to read jld files in Maple?  Apparently JLD (Julia Data) and JLD2 files are binary formats primarily designed for saving and loading Julia variables, preserving types.

That's how it looks like in Maple 2026.0 for the Examples on the Help-page for topic solve, on Windows 11

For a fraction of a second I see output rendered in blue and Math-2D. Then it turns to the above.

Is this a regression or a new feature? How to get the output back to Math-2D and blue?

Glad that 2026 has been released now, and I will certainly use it as the default version in the future.

While there are a lot of new features, one thing that keeps annoying me is the inferior font quality, compared to other software.

Here's a screenshot of 4 different programs, all with font Arial 11pt and 100% zoom factor. Font AntiAliasing is set to enabled in Maple.

Judge it for yourself, but in my opinion it gives a clear picture that Maple is much worse to read than any of the other software packages (Word, LibreOffice, pdfXChange).

In the Maple 2025 release, the "old/former" user interface was provided under a menu entry called "Maple 2025 for Screen Readers". I used this version because of shortcommings of the new ribbon interface. Some of the shortcommings have been fixed in the 2026 release but it is still slow to use (I am missing functions in the quick access toolbar that I frequently use and no customization of the bar seems possible).

I could not find a similar menu entry in the 2026 release under Windows 11. Is the old unser interface still available?

I am solving a hybrid nanofluid flow problem in a bifurcated artery using Maple. The governing equations for velocity and temperature are solved using dsolve(..., numeric, method=bvp[midrich]).

My Maple code successfully produces for both the artery  parentartery_and_daughter_artery_error.mw.

The velocity profiles are obtained correctly using odeplot.

However, I want to compute additional physical quantities and generate plots similar to the velocity profiles.

Specifically I want to plot:

  1. Flow rate Q versus axial distance z

  2. Impedance (flow resistance) λ versus z

  3. Wall shear stress τ versus z

for different values of Hartmann number Ha.

The formulas I am using are

Flow rate:

Q=2π(R∫01ηw(η) dη+R2∫01w(η) dη)Q = 2\pi \left( R \int_0^1 \eta w(\eta)\,d\eta + R_2 \int_0^1 w(\eta)\,d\eta \right)Q=2π(R∫01​ηw(η)dη+R2​∫01​w(η)dη)

Wall shear stress:

τ=μ∣dwdr∣\tau = \mu \left|\frac{dw}{dr}\right|τ=μ​drdw​​

Impedance:

λ=∣dp/dz∣Q\lambda = \frac{|dp/dz|}{Q}λ=Q∣dp/dz∣​
Please help me to solve this question.

For decades, Maple has been built around one of the world’s most powerful mathematics engines—helping students, educators, engineers, and researchers explore ideas, solve complex problems, and communicate mathematics clearly.

Maple 2026 builds on that foundation with major advances in the math engine, expanding the kinds of problems Maple can solve while improving reliability and performance.

At the same time, Maple 2026 introduces new AI-powered tools that help you work faster—finding commands, generating visualizations, explaining concepts, and helping you explore ideas. The key difference is that these tools sit on top of Maple’s math engine, so the results are grounded in real computation rather than guesswork.

If you’ve been following along with our recent Mathy teaser videos and sneak peek posts, you may already have seen hints of some of these features. Now I’m excited to finally share them in full.

One of the most exciting additions in Maple 2026 is the new AI Assistant.

AI tools are incredibly useful for exploring ideas, writing code, and learning new topics. But when the mathematics becomes more involved, relying on AI alone can be risky. The Maple AI Assistant brings those productivity benefits into Maple while keeping the mathematics grounded in Maple’s trusted computation engine.

You can ask the AI Assistant questions in natural language and have it help you:

  • find Maple commands or formulas
  • generate Maple code
  • create visualizations
  • explain mathematical concepts
  • draft examples, worksheets, or reports

Because Maple performs the underlying computations where appropriate, the results are grounded in Maple’s powerful math engine. The AI Assistant becomes a productivity partner that helps you accomplish tasks in Maple faster and more easily, combining the flexibility of AI with mathematics you can trust.

Watch the AI Assistant in action.

 
Turn Documents into Live Mathematics

Another feature I’m particularly excited about is Document Import.

Many of us have years of mathematical content stored in PDFs, lecture notes, journal articles, slides, or even handwritten pages. Traditionally these documents are static—you can read them, but you can’t interact with the mathematics inside them.

With Maple 2026, that changes.

Document Import allows Maple to convert many document formats—including PDFs, DOCX files, and presentations—into Maple worksheets where the mathematics becomes live and executable. 

The image below illustrates the transformation.

On the left (“Before”), scribbled handwritten notes from a Calculus III lecture were saved in a Word document. The notes include hand-drawn sketches, formulas, and written explanations.

After importing the document into Maple (“After”), the mathematical expressions were recognized and converted into live, editable Maple mathematics. The text was preserved, and the hand-drawn sketches were retained as images. The resulting worksheet supports evaluation, editing, and further computation.

Once imported, you can:

  • evaluate expressions
  • modify formulas
  • extend derivations
  • add visualizations
  • explore variations of the mathematics

Instead of recreating examples from scratch, you can bring existing material directly into Maple and start exploring.

While the new AI features are exciting, the heart of Maple has always been its mathematics engine—and Maple 2026 delivers significant advances here.

One particularly notable improvement is Maple’s expanded ability to solve linear recurrence equations. Through improvements to the rsolve command and major extensions to the LREtools package, Maple can now solve dramatically more recurrence relations than before, including many third- and fourth-order cases that were previously beyond reach.

In fact, Maple can now fully solve over 94% of the 55,979 entries in the Online Encyclopedia of Integer Sequences (OEIS) that that can be shown to satisfy a linear recurrence relation. These advances reflect ongoing research into linear difference equations and their algorithmic implementation in Maple, continuing Maple’s long tradition of advancing the state of computer algebra.

Beyond recurrence solving, Maple 2026 includes many improvements across its core symbolic and numeric algorithms. Maple’s assumption system has been strengthened to improve reasoning under mathematical assumptions, and enhancements to the simplify, combine, and evalc commands allow Maple to produce more compact and mathematically natural forms for a wider range of expressions.

There are also improvements to Maple’s differential equation solvers, polynomial system solving, and numerical solving routines such as fsolve, along with updates to other foundational parts of the math library used throughout the system.

Taken together, these improvements expand the range of problems Maple can solve and improve the robustness, correctness, and efficiency of the results.

Maple has always offered extensive control over plotting options, but achieving consistent visual styling across multiple plots could require specifying many settings each time.

Maple 2026 introduces Plotting Themes, which allow you to define a plotting style once and apply it across many plots with a single option.

Themes make it easy to maintain consistent visual styles in worksheets, teaching materials, reports, and publications, while still allowing individual plots to override specific options when needed.

The image below shows an example of creating and applying a custom plotting theme. 

 

Maple continues to be widely used in classrooms around the world, and Maple 2026 includes several improvements designed to support teaching and learning.

The Check My Work system has been enhanced so Maple can recognize a wider variety of valid student solution steps and provide more accurate feedback.

Maple 2026 also improves the generation of similar practice problems, making it easier to create variations of a problem while preserving its mathematical structure.

In addition, Maple’s step-by-step solutions have been expanded to support more types of expressions, helping students better understand the reasoning behind the mathematics they’re learning.

Maple 2026 also introduces improvements for developers building advanced applications, along with performance enhancements across the system.

One particularly interesting addition is the new VectorSearch package, which implements a vector database directly inside Maple.

If you’re not familiar with vector databases, one way to think about them is through recommendation systems like Netflix or Spotify. Each movie or song can be represented by a vector containing thousands of numbers describing its characteristics—things like genre, pacing, or mood. When you watch something, the system finds other items whose vectors are closest to it, which is how recommendations are generated.

With the new VectorSearch package, Maple can store thousands (or more) of vectors and efficiently find the ones most similar to a given vector. This makes it easier to build applications involving machine learning, data analysis, and modern AI workflows directly in Maple.

Maple 2026 also delivers significant performance improvements. For example, operations involving quantities with units have been greatly optimized—some computations now run over 90 times faster, making Maple even more efficient for engineering and scientific workflows.

Maple 2026 also expands the benefits available through the Maplesoft Elite Maintenance Program (EMP). The new benefits include access to additional Maplesoft products and services:

  • Maple Learn, the online environment for teaching and learning mathematics
  • Maple Calculator Premium, bringing the power of Maple to your phone with full access to features like Solution Steps and Check My Work
  • Maple MCP, which allows you to connect Maple’s math engine to external AI tools so they can produce mathematical results you can trust

These additions extend Maple beyond the desktop, giving users powerful tools for learning, teaching, and exploring mathematics across web and mobile platforms, as well as through integrations with external AI tools.

This post only scratches the surface of what’s new in Maple 2026. There are many more improvements across the math library, programming tools, and performance.

To learn more about all the new features and enhancements in Maple 2026, visit the What’s New in Maple page on our website.

 

 
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