Hi dears

I have a pde system and want to get the solution of this system step by step. is there any command or bunch of commands that could help me?

(pde = partial differential equations)

simplify(sqrt((x^2 + y^2)/x)/sqrt(x^2 + y^2)) assuming x>0, y>0

is not sqrt(1/x), why?

Warning, data could not be converted to float Matrix

Hi all, 

I am working with the physics package and I want to know if there is a difference between Physics:-CompactDisplay and PDEtools:-declare ?

As well as the difference between Physics:-Simplify and simplify.

For both cases, can they be used as the same ? Are they incompatible in some case?

Thanks !

Kevin

How to plot Nabla Discrete Mittag - Leffler Function in Maple?

For the attached worksheet "insert contents" worked two month ago. My computer settings have not changed since.

The same happens with an empty worksheet (document mode) created with 2022.2

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/Unit_of_t.mw .

Download Unit_of_t.mw

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/empty.mw .

Download empty.mw

How can we unveil all the possible transformations that reduce the number of independent variables of a given pde? I tried it by using "InvarientSolutions" which gives eight possible transformations. But under those transformations, I got only two different odes. Is there any other method/command from which we can get other possible odes of a given pde?

pde_ode.mw

The transformed boundary conditions are

Please and please, I have been having this challenge for some time now and I would be so so happy if I can get a solution to my challenge. I have been worried on:

how do I use these definitions (Volterra Integral Equation and Caputo definition) to solve

Helper, please. You can use any definition you are familiar with also. Only I need a fractional definition.

Thanks

My question is about the physics package: when transforming the metric tensor to new coordinates, sometimes the new coordinate can be expressed easily as a variable inside the new matrix entries,  but the new matrix is still displayed completely in terms of the old variables. How can I force it to display everything in terms of the new ones?

Why I get "Error, invalid subscript selector" error in my code?

y1 := Grid:-Seq(UP1(s, U, V, W, Phi, Xi, N, a, b, II, JJ, A, B, Dd, M, Ns), s = 1 .. 7);
UKt := add(y1[i], i = 1 .. 7);

Error, invalid subscript selector

As you can see y1 is defined without any problem and have 7 seqments, but the next line warns invalid subscript selector.

There is a button at the top right corner that has an icon that seems to say 4pi/3. When I hover over it is says "Maple Math". I click on it, and insert an expression that I copy directly from Maple: a simple definition of a function. There is an error that says "You have entered an invalid Maple expression". Why? The function is defined as z__1 := (x,y) -> x+y. Perhaps the issue is the subscript. I don't know but the UI does not tell me.

Here is an example that does not give an error in the form when I click the aforementioned "Maple Math" button. However, what I see below is a broken icon and the equation f := (x,y) -> x + y (exactly like this).

I am bewildered by the brokenness of this UI. 

I read the article "Approximate Symmetries and Infinite Series Symmetry Reduction Solutions to Perturbed Kuramoto–Sivashinsky Equation", and also searched out in Maplesoft website, but couldn't found. Does anyone have the package?

Not the first time that a question (OP's name  PhearunSeng ) is removed as I am writing an answer (I guess other people have already faced the same inconvenience). 
Why doesn't exist a mechanism which prevents removing, deleting, displacing a question where someone (here Carl) has akready given an answer ???

Whatever the reason, here is my answer

Title: Can be done quickly if you write the matrix in a more abstract form

MyKGff := Matrix(5, 5, 
  {
    (1, 1) = A+(1/63368)*B, 
    (1, 2) = -(1/63368)*B, 
    (1, 3) = -(1/39605)*B, 
    (1, 4) = 0, 
    (1, 5) = 0, 
    (2, 1) = -(1/63368)*B, 
    (2, 2) = (1/63368)*B+C, 
    (2, 3) = (1/39605)*B, 
    (2, 4) = -C, 
    (2, 5) = 0, 
    (3, 1) = -(1/39605)*B, 
    (3, 2) = (1/39605)*B, 
    (3, 3) = (8/198025)*B, 
    (3, 4) = 0, 
    (3, 5) = 0, 
    (4, 1) = 0, 
    (4, 2) = -C, 
    (4, 3) = 0, 
    (4, 4) = C+(1/63368)*F, 
    (4, 5) = -(1/39605)*F, 
    (5, 1) = 0, 
    (5, 2) = 0, 
    (5, 3) = 0, 
    (5, 4) = -(1/39605)*F, 
    (5, 5) = (8/198025)*F
  }
);

Then (Maple 2015.2)

PseudoInverse := CodeTools:-Usage( LinearAlgebra:-MatrixInverse(MyKGff, method=pseudo) ):
memory used=28.38MiB, alloc change=68.00MiB, cpu time=312.00ms, real time=314.00ms, gc time=24.90ms

To recover the pseudo inverse with original data do

Rewrite := [
             A = (D__pile*W[1] . E__c)/3000, 
             B = (D__pile*W[2] . E__c)*89^(1/2), 
             C = (D__pile*W[3] . E__c)/1000, 
             F = (D__pile*W[4] . E__c)*89^(1/2)
           ]:

eval(PseudoInverse, Rewrite):

InverseMatrix_mmcdara.mw

I would like to be able to use python's matplotlib from Maple. I am doing the following currently

with(Python)
Start('home' = "/opt/anaconda3/lib/python3.9", 'path' = "/opt/anaconda3/lib/python3.9/site-packages")
ImportModule("matplotlib as mpl")

and the error I get back is

Error, (in Python:-ImportModule) ModuleNotFoundError: No module named 'matplotlib'
['Traceback (most recent call last):\n', '  File "<string>", line 1, in <module>\n', "ModuleNotFoundError: No module named 'matplotlib'\n"]

The string I passed into path is the directory where matplotlib seems to be located as far as I can tell. I looked this up in my IDE Spyder, but using the command print(matplotlib__file__).

UPDATE: but actually if I open a new worksheet and execute 

with(Python)
Start('home' = "/opt/anaconda3/lib/python3.9", 'path' = "/opt/anaconda3/lib/python3.9/site-packages")

The error is that 

Error, (in Python:-Start) unable to start Python: could not create process, mpython

So Maple isn't finding Python apparently.

I tried for 'home' also "/opt/anaconda3/bin", did not work.