Greetings

I trust that everyone is well here. I have an inquiry regarding the partitioning of a matrix BA, defined on both regular and irregular domains, into three matrices: Ad, Ab, and Ae, such that NewBA = Ad + Ab + Ae. Here, Ad comprises the entries of BA that reside within the domain, Ab includes the elements of BA located on the boundary, and Ae is derived as BA - Ad - Ab for any values of Mx and My. The specifics of matrix BA are contained in the attached document where NewBA constructed manually for different values of Mx and My for better understanding.
Splitting_a_matrix.mw
The attached file contains the matrix BA constructed in a square format. How may the BA matrix be adapted to create an irregular shape, such as a quarter circle?

The red dots indicate the mesh within the domain Ad, while the meshing along the blue line should occur in Ab.

I await your kind reply. Kindly ensure your well-being

I installed a free trial of Maple 2025, but I can't seem to get the (simple) sample test.java script to run using OpenMaple. It compiles fine, but when I try to run it I get a Segmentation Fault error. I've ensured that the environmental variables, as described in the installation documentation, are given properly. The documentation/example in the installation refers to an old version of Maple, so I wondered if perhaps the free trial version does not have all of the updated components? I was hoping to test my project compatibility with OpenMaple before purchasing Maple.

My OS is Ubuntu 24.04, and I'm using Java 21. It would be nice to get everything running in IntelliJ eventually, but for now even trying to run in the terminal is problematic.

In thus manuscript i got some reviewer comment which is asked to simplify this expresion and there is a lot of them maybe if i do by hand i  made a mistake becuase a lot of variable so how i can fix this issue and make thus square root are very simple as they demand

Download simplify.mw

I am trying to factor out I = sqrt(-1) from square roots in my Maple expression by using a substitution f2. However, after applying these substitutions to my final expression, there is no visible change. In addition, the term sqrt(2)/2 + sqrt(2)*I/2 also appear. How can I=sqrt(-1) can be properly factored out from the square roots?

Download simplify.mw

Is there a short-cut for jumping to a specific output label in a Maple worksheet?

I have a Maple worksheet with over 200 labels:  (1), (2), ....., (236) etc?

"Find" does not seem to work.

Thanks

Frank Garvan

I have Maple 2016 and Matlab 2016b installed on my Windows destop.

When I run

with(Matlab);
openlink()

in a Maple worksheet the following error window appears.

After closing the window I also see the following error message,

Error, (in Matlab:-openlink) there was a problem finding or loading matlink.dll. Refer to ?Matlab,setup for help configuring your system to work with the Matlab-link.

How to fix the connection from Maple to Matlab?

A classical probability result says that if G₁ and G₂ are two independent Gamma random variables with same scale parameter (let's say 1 to simplify) and shape parameters a₁ and a₂ respectively, then G_k / (G₁ + G₂ ) is a Beta random variable with parameters (a_k , a_3-k ) (k=1..2).

In the attached file it is shown that (Maple 2015) function Statistics:-PDF fails in computing the PDF of G_k.
Noting strange here if you observe that even in the extremely simple case Z = X / (X+Y), where both X and Y are independent Uniform random variable with support [0, 1), Maple 2015 already fails in computing PDF(Z).

An alternative to Statistics:-PDF is to write explicitely the double integration which defines CDF(Z) (to begin with, and later PDF(G_k)) and ask Maple to do the integrations.
This approach works for Z but requires helping Maple when X and Y are still independent Uniform random variables but with respective non instanciated supports [0, a₁) and [0, a₂).

Applying to the Gamma-Gamma case the recipies I introduced in the Uniform-Uniform case does not give any result, unless in the very particular case where the shape parameters a₁ and a₂ are (strictly) positive integers.

All the details are in X_over_(X_plus_Y).mw

Do you have any idea how to prove with Maple the probability result mentioned at the head of this question?

PS: The "classical method" to do compute PDF(Z) consists in changing the integration variables < x₁, x₂ > into < x₁ = v₁v₂, x₂ = v₂ (1-v₁) > (see for instance Stack exchange)... but even after having dome it I still cannot get the desired result.

Thanks in advance.

I experience the following quirk using maple 2025 in worksheet mode: copy a formula and then paste it can often freeze the program. Termination only via ctrl-Alt-delete task manager. Has anybody similar problems or should i think that is happening only in my case?

f(a).b;            #ok
                           (f(a)) . b

op(0, f(a).b);     #ok
                               .

lprint(f(a).b);    #ok
f(a) . b

f(7).b;            #???
                             f(7) b

op(0, f(7).b);     #???
                               *

lprint(f(7).b);    #???
f(7)*b

I'm working on a system of coupled ordinary differential equations with multiple degrees of freedom. I would like to explore the existence of multiple solutions by using a bifurcation diagram. To this end, I tried using the built-in Bifurcation command in Maple. However, the command repeatedly returns errors and fails to produce the expected plots.

Has anyone successfully used the Bifurcation command in Maple for coupled ODE systems? Are there specific settings or prerequisites that I might be missing? I would greatly appreciate any guidance or example code demonstrating how to properly use this command for such systems.
bifurcation.mw

To organize windows, Windows 11 provides a new function "Snap Layout". The example screen shot below shows options to place the Maple 2025 Screen Reader window.  

Draging now Maple 2025.1 Screen Reader to the left window of the third option results in the following selection screen

where on the right a list of tasks to chose from is presented. In this list Maple 2025.1 is missing. However Maple 2025.1 was running as can be seen from the task bar.

Has anybody managed to position Maple 2025.1 windows with the Snap Layout (or alternatively with Win+Arrow keys) or at least reproduce what I see on my computer?

Why can a Maple 2025.1 window be adjusted by hand but Windows does not do this in Snap Layout?

(Dragging and adjusting a Maple window by hand is not an option. This is how we had to work before Windows 7.)

what is problem in here

Download remove.mw

i want plot a system of differential equation and do phaseportrait i did but when i want make it a little bit more clear and colorfull like rainbow when i find the C.Q i don't know how set the option for ploting?

e1.mw

Someone should please help me compute the left and right eigenvectors of the system below. The purpose is to compute values for 'a' and 'b' in the bifurcation formula.

Thank you

Download CBD2.mw

It is not difficult to manually check the validity of the identity  sqrt(x+2*sqrt(x-1)) = sqrt(x-1)+1 , which is true at least for all  x>=1 . I don't know of any Maple command that directly makes this simplification:

expr:=sqrt(x+2*sqrt(x-1));
simplify(expr);
simplify(expr) assuming x>=1;

It was possible to simplify it only by making a variable substitution  x=y+1 (and then a reverse substitution  y=x-1 ) :

expr1:=subs(x=y+1,expr);
simplify(expr1);
subs(y=x-1, %);

By the way,  the CAS Mathematica also cannot cope with simplifying the expression  expr .