nm

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These are questions asked by nm

Do you think the following messages  by mint should have been the same? this is just some made up example with no purpose other than to show the messages.

foo:=proc(x)
local z,a:=1,la;
   patmatch(x,a*x,'la');   
   map(z->assign(z),la);
end proc;

boo:=proc(y,x)
local Z,RHS;   
   RHS:=y(x);
   subs(y(x)=Z,RHS);
end proc;

Looking at the above, foo() has z used but never assigned a value, right?  And in boo(), Z is used but never assigned a value.

but mint gives slighlty different message

"C:\Program Files\Maple 2022\bin.X86_64_WINDOWS\mint.exe" -i 2  A.mpl

Procedure foo( x ) on lines 2 to 6
  These local variables were never used:  z

Procedure boo( y, x ) on lines 8 to 12
  These local variables were used but never assigned a value:  Z

Should not these two messages have been the same?

When running mint on a single .mpl file, I often get this warning

These names were used as global names but were not declared:  main_module

When having this code in the mpl file

o:=Object(main_module:-person_type);

The problem is that main_module is a module that lives in separate mpl file.

It is a differerent module in its own ,mpl file which inside it contains the person_type definition. (another module of type object)

I know I can ignore this. And have been. But my question is: how does one "declare" main_module inside this mpl file to avoid getting this warning message? Since main_module is its own module in separate file. I do not understand what does it mean to  "declare" it.

Here is the full code

A:=module()
   export boo:=proc()
      local o;
      o:=Object(main_module:-person_type);
      o:-foo();
   end proc;
end module;

And here is the command I used

"C:\Program Files\Maple 2022\bin.X86_64_WINDOWS\mint.exe" -i 2 A.mpl

Gives

Nested Procedure boo() on lines 2 to 6
  These names were used as global names but were not declared:  main_module

Later on, when I build my .mla library, all these modules are put inside the library. So it is not an issue when running the code, but I'd like to see if it is possible to add something to A.mpl to tell Maple that main_module is separate module and not to worry about it.

 

again, I wish Maple help can be better. A simple example of how to use listplot on matrix is all what is needed.

I have a matrix, 3 rows and 5 columns. I need to use listplot to generate 3 listplots on same graph. I can do this one row at a time. But when calling listplot(m) where m is the matrix, it gives error

Error, (in plots:-pointplot) incorrect number of coordinates in points data

Clicking on the above link, as usual sends me to page that says There is no help page available for this error

Help says

The listplot command also accepts a list or Matrix containing points data. great. But how?? I click on the link next to the above line, it sends me to page about pointplot. There is says that pointplot also accepts a matrix of size n by 2. Does this mean listplot matrix must also be two columns? It does not say this on the listplot help page.

For a workaround, I now generate plot of each row on its own, then use display to put them all on same graph. But the problem with this is that all have same color. I was hoping that if Maple did it all at once, it will automatically pick different color for each line as is the case with Mathematica (example below)

Is there a better way to do this? For reference, I'd like to generate similar plot like this

You see, the colors are automatically selected. With manual plotting of each row myself, I have to select the color myself and to make sure they are different and so on. It will be better if the system did all of this.

Please see attached worksheet

restart;

m:=Matrix([[1,2,5,6,9],[3,4,5,13,14],[1,3,4,10,11]])

Matrix(3, 5, {(1, 1) = 1, (1, 2) = 2, (1, 3) = 5, (1, 4) = 6, (1, 5) = 9, (2, 1) = 3, (2, 2) = 4, (2, 3) = 5, (2, 4) = 13, (2, 5) = 14, (3, 1) = 1, (3, 2) = 3, (3, 3) = 4, (3, 4) = 10, (3, 5) = 11})

plots:-listplot(m); #why this fail?

Error, (in plots:-pointplot) incorrect number of coordinates in points data

plots:-listplot(m[1,..])

#for a workaround, I can do this. But now all lines have same color which is not good.
map(n->plots:-listplot(m[n,..]),[$1..3]):
plots:-display(%)

 

Download how_to_list_plot_matrix.mw

What is the correct way to use listplot with matrix?

I am not able to even trap this Maple exception.

Any suggestions what to do? It is not a problem if it can't solve it, but I need to at least be able to  trap the exception in order to go to the next one, else the whole program now stops when it hits this.

I used try..catch but this exception just ignores this and escapes to top level. This is not the first time I've seen Maple exception escape the try/catch. I do not understand why some do that and some not. I

Is this another bug?

interface(version);

`Standard Worksheet Interface, Maple 2022.1, Windows 10, May 26 2022 Build ID 1619613`

restart;

eq:=1 = -X*(-1/4*(-40*(X + x0)^(5/3) - 20/3*(X + x0)^(2/3)*Y - 20/3*(X + x0)^(2/3)*y0 - 32*A*(X + x0)^(1/3))/((X + x0)^(5/3)*(Y + y0)) + 5/12*(-15*(X + x0)^(8/3) - 4*(X + x0)^(5/3)*Y - 4*(X + x0)^(5/3)*y0 - 24*A*(X + x0)^(4/3) + 12*A^2)/((X + x0)^(8/3)*(Y + y0)))/(Y*(1/(Y + y0) + 1/4*(-15*(X + x0)^(8/3) - 4*(X + x0)^(5/3)*Y - 4*(X + x0)^(5/3)*y0 - 24*A*(X + x0)^(4/3) + 12*A^2)/((X + x0)^(5/3)*(Y + y0)^2)));

1 = -X*(-(1/4)*(-40*(X+x0)^(5/3)-(20/3)*(X+x0)^(2/3)*Y-(20/3)*(X+x0)^(2/3)*y0-32*A*(X+x0)^(1/3))/((X+x0)^(5/3)*(Y+y0))+(5/12)*(-15*(X+x0)^(8/3)-4*(X+x0)^(5/3)*Y-4*(X+x0)^(5/3)*y0-24*A*(X+x0)^(4/3)+12*A^2)/((X+x0)^(8/3)*(Y+y0)))/(Y*(1/(Y+y0)+(1/4)*(-15*(X+x0)^(8/3)-4*(X+x0)^(5/3)*Y-4*(X+x0)^(5/3)*y0-24*A*(X+x0)^(4/3)+12*A^2)/((X+x0)^(5/3)*(Y+y0)^2)))

try
   sol:=solve(identity(eq,X),[x0,y0]);
catch:
   print("trapped the error");
end try;

Error, (in anonymous procedure called from type/realcons) too many levels of recursion

 

Download how_to_trap.mw

It will be great if  DEtools:-convertAlg  which is designed to find coefficients of a linear ode, not to expand the coefficients it finds.

This caused my patterns to fail, as after putting the coefficients in a certain form, and then calling DEtools:-convertAlg later on somewhere else in the program, the patterns no longer worked due to this unexpected expansion.

It will be better if DEtools:-convertAlg returns the coefficients it find as is and not expand them. I could not find an option to use for this. Here is an example.

restart;
ode:=b*(x+x^2)*diff(y(x),x$2)+x*(2*a - 1)*diff(y(x),x)+c*y(x)=0;

After the call the coefficients become

L:=DEtools:-convertAlg(ode,y(x))

You might ask that one can easily "fix" this afterwords. Sure. I can use collect on x. But the point is that in general, it might not be clear what to collect on or what the changes that were made are.

In principle, it is better to keep the coefficients in same form as they were in the ode so that the ode do not change form.

Maple 2022.1 on windows.

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