## What type of memory is running out when I try to d...

I created a Github repository with files to reproduce the example that my question is based on.

I am using Grid:-Run to compute a 10000x3 matrix in each of 100 parallel runs. I then average the 100 matrices to obtain a final 10000x3 matrix, which I saved to an .m file.

It contains a variable called with the matrix.

Each row of the matrix is a 3d point, and the entire matrix represents a trajectory on a sphere. I'd like to display an animation of this trajectory. Now, my question is not about how to do this, but rather about the memory requirements necessary to do so.

I can plot trajectories with, say, 1000 points, but apparently 10000 requires too much memory.

The Github repository I linked to contains an example of all of this.

The worksheet matrixTest.mw reads the matrix from the .m file and reads some procedures defined in the .mpl file that are used for creating the animation data.

Then, a call to the procedure animateMatrices basically calls plots:-display to display the matrix as an animation.

I've been able to display the first 5000 rows of the matrix.

What type of memory is running out when I try to display the animation of the full 10000 rows?

Here is a screenshot of my Activity Monitor right before I get the

Error, out of memory error while processing result

## Simplification of polynomials on radicals....

Hi! I need to simplify a polynomial over an arbitrary field F on a radical variable ν, such that for some power j, ν is in F.

the polynomial takes the form:

k0+a1ν1/j+...+anνn/j

but, since νj is in F, this divides every element νi/j into a cotient group of order j, so this can be rewritten as a radical extension of F, in the form:

k1+(a1+...)ν1/j+...+(ak+...)ν(j-1)/j

where ki, ai are in F. I feel like this is a very straightforward technique for handwritten algebra, but i can't see a command for this on Maple 18. Nor the simplify(..., radicals) Or the combine(...,radicals) seems to help here. Maybe there's an special command for this? Must i do it myself? Please, any help is aprecciated.

## Why is there this difference between calling plots...

This question is based on the following worksheet I created specifically to show my question: Animation_Test.mw

Unfortunately, MaplePrimes gives me an error when I try to insert the contents here directly.

Basically my question is about the syntax of plots:-display.

I have a sphere

sphereDisplay := plottools:-sphere([0, 0, 0], 1, transparency = 0.9);

and something which is the result of calling plots:display on a sequence of two other other plots:-display.

arrowAndTrailDisplay := plots:-display(seq(plots:-display(computeArrowPlotFrame(m, t, red), computeTrailPlotFrame(m, t, windowSize, red)), t = times), insequence = true)

You can see in the attached worksheet what computeArrowPlotFrame and computeTrailPlotFrame are, but they are basically lists of plot structures. arrowAndTrailDisplay is thus an animation containing two different sequences of frames.

I wish to have Maple plot the sphere and the animation together. This works as expected (a static sphere and the animation of an arrow and a trail of the path of the tip of the arrow)

plots:-display([sphereDisplay, arrowAndTrailDisplay]):

but the following does not work as expected (instead it plots each frame separately)

plots:-display([arrowAndTrailDisplay])

adding insequence=true to the latter makes it work. But my question is why do I have to add that? I can't understand, from syntax standpoint why the former plots arrowAndTrailDisplay as an animation but the latter does not.

## LinearSolve taking too long to compute...

Hello everyone,

I am trying to solve a system of six equations through a matrix and a vector. The matrix is 6x6, so the function "LinearSolve" should find a solution

The matrix is

Matrix(6, 6, [[1., -1., 1., -1., 1., -1.], [1., 1., 1., 1., 1., 1.], [-2., 1.618033989, 30.94427190, -153.8246851, 371.1559479, -572.9674774], [-2., 0.6180339876, 22.94427191, -41.15905356, -37.04759741, 149.3606798], [-2., -0.6180339876, 13.05572810, 22.82468509, -20.15594802, -81.03252254], [-2., -1.618033989, 5.055728096, 28.15905368, 68.04759752, 104.6393203]])

and the vector associated with the system is

Vector[column](6, [-1/3, -1, 0, 0, 0, 0])

I am trying to solve this system with

a := LinearSolve(M3, v);

but it stays evaluating.

I have solved a similar system (5x5) with this function (LinearSolve) and it took less than a second, so I dont understand why it takes so long in this case.

## Why does \$ifdef __FILE__ evaluate to false in the ...

Consider the following code in an .mpl file

\$define MACRO1 "1"

\$define MACRO2 "2"

\$ifdef __FILE__

\$define MACRO3 "3"

\$endif

\$ifdef MACRO1

\$define MACRO4 "4"

\$endif

f := proc()

print(MACRO1, MACRO2, MACRO3, MACRO4, __FILE__):

end:

If we run this from a worksheet and call the procedure f, the printed output is

"1", "2", MACRO3, "4", "/Users/zenterix/..."

Why does \$ifdef __FILE__ evaluate to false? Ie, why doesn't MACRO3 get defined? I thought __FILE__ was a predefined macro.

## Re-sizing imported image...

I have been unable to re-size and imported image into a Maple Flow 2022.2 document. I just used my old Maple Flow 2021 and I had no problem. When I use Maple Flow 2022.2 I cannot re-size an imported image. I was able to re-size an imported image in Maple Flow 2022.1. Is it just me or has anybody else experienced the same problem? I also imported the image into Maple 2022.2 and had no problem re-sizing the image.

## Applying a user-created style set....

I formatted all the input math expressions with a different style and then exported them to create a style set called Mystyle1. However, when I load Mystyle1 and apply it to a document, the functions that were typed partially obey the style, but the expressions that were inserted through the palette do not; font and size are different and bold is not applied.
Does anyone know why this happens?

If anyone wants to test it, Mystyle1 and a simple document are attached.

Regards,

Oliveira

Mystyle1.mw

## where are the question and my answer ???...

@ASHAN's question was about a linestyle which wasn't displayed as expected.

Maybe a handling error on my part?

To ASHAN:

## Make my Own Code and Call to other file and Get Re...

Hello;

Hope you are fine. I need to learn how can I call my code in the other file of maple, define new value for A and can get results. For this purpose, I just take an simple example as

questionmaple.mw

 >
 (1)

## How to import data from a gsheet...

I would like to read data from a google sheet document. I can download a local copy to excel format, but then I'm no longer tied to the origional file.

## How to use LibraryTools:-Save?...

```MyPackageTools := module()
option package;

local mapleInitFile, newLibname:

mapleInitFile := "/Library/Frameworks/Maple.framework/Versions/2022/lib/init":

try
FileTools:-Text:-Open(mapleInitFile, 'append'):
catch:
return "Failed to open file":
end:

try
newLibname := cat("libname := \"", packageDir, "\", libname:" ):
FileTools:-Text:-WriteLine(mapleInitFile, newLibname):
catch:
FileTools:-Text:-Close(mapleInitFile):
return "Failed to write to file.":
end:

try
FileTools:-Text:-Close(mapleInitFile):
return "Added to libname successfully. Restart worksheet for changes to come into effect.":
catch:
return "Failed to close file":
end:
end:

savePackageToMla := proc(mlaPath, mplPath, packageName)

LibraryTools:-Save(packageName, mlaPath);

end:
end:```

I'd like to automate my workflow a bit. I having a hard time making savePackageToMla work. The commands inside it are the ones I would run in a Maple worksheet to save a package to an .mla file.

The error I get when I try to use this is

Error, (in LibraryTools:-Save) 1st variable is not a name or equation |/Users/marcusegues/maple/Packages/MyPackageTools/MyPackageTools.mpl:38|

Note that the goal is to pass in an mla path and an mpl path. The mpl file is read. The package that is read is the same as the argument packageName.

I invoke this procedure with something like

savePackageToMla(mlaPath, mplPath, 'MyPackage')

where

mplPath := '/somePath/MyPackage.mpl';
mlaPath := 'somePath/MyPackage.mla';

and MyPackage.mpl contains something like

MyPackage := module()
option package;
(...)
end;

## chemiinformatics using maplespoft...

Is their anyway we can find the bond lengths of amolecule using maplesoft given smiles file or mol file etc. any chemistry package

Like we can do do using rdkit or pysmiles in python.

## How to consider the convergence of the improper i...

Please help me consider the convergence of this improper integral without using Maple. Thank you so much.

## After creating a package, how do we save changes t...

Note: It seems in the course of writing this question I found the answer, but I am still interested in any tips on the best workflow to update a library. Here is the original post (annotated ex post in bold):

I have successully created my own package in Maple. I basically used LibraryTools:-Create to create an .mla file and then I used LibraryTools:-Save, passing in the name of my package and the path to the .mla file. I did this in a worksheet.

I can import it with the command with(MyPackage).

I'd like to add code to the package.

I have a package defined in as

module MyPackage()
option package;
export MyModule;

module MyModule()
(...)
end;
end;

I would like to add a procedure to be exported inside the package.

I tried to add the procedure, save the file, and then use LibraryTools:-Save again, but the error I get is

Error (in MyPackage) attempting to assign to 'MyPackage' which is protected. Try declaring local 'MyPackage'; see ?protect for details.

I tried to unprotect the name 'MyPackage' but this gives another error

Error, on line %1, unexpected end of input. Error while reading '%1' (this turned out to be a missing semicolon on the Save command, which was the last command in the mpl file. The error messags are quite unhelpful)

Note: As I mentioned before, I did the initial saving of the package from a worksheet (the package code was in a code editing region in the worksheet). In the current attempt to add the new procedure, I copied the code to an .mpl file so I could edit it in a code editor (VSCode). At the end of this file I added the commands to LibraryTools:-Save the package again to the same .mla file as before.

My attempt to unprotect the name "MyPackage" involved simply adding unprotect('MyPackage') as the first line in this .mpl file.

I then used the command read to execute the mpl file from within a worksheet.

What am I doing wrong, and what is the recommended workflow to be able to work on a package?

If I try to update a simple variable in the .mla file it seems to work.

EDIT: The problem seems to be the use of the named module initially, ie module MyPackage().

If I try the whole process again (write a simple package and save it to the mla file) but this time I use the syntax

MyTestPackage = module()

then I can update it no problem (at least for a simple package that I just wrote; for the actual package with my real code I still get even though Maple is able to read the mpl file without a problem, apparently there is still some issue while trying to save.

Error, on line %1, unexpected end of input. Error while reading '%1'   (turns out it was the missing semicolon)

In summary: don't used named module syntax.

## Initial conditions for the Laplace equation on a t...

Hello guys.
I want to solve Laplace's equation for a triangle plate, subject to the following boundary conditions:

For the contour y = x, u(x,y) =20

For the contour y = -x+2, u(x,y) =100

Regards,

Oliveira

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