I would appreciate seeing how Maple handles concatenation, digital sums and selection of related least terms. Here are two examples of problems currently of interest:

1. Construct the lexicographically earliest sequence of distinct positive integers such that the sum of the digits of the first n terms is coprime to their concatenation; first term is 1:

1,3,7,2,4,5,9,6,13,8,19,11....

(I already have many terms for this, computed by a  Mathematica code, but would like to see it done in Maple).

2. Lexicographically earliest sequence of distinct positive integers such that the n-th term divides the concatenation of the first n terms; first term is 1:

1,2,3,5,10,4,8,6,11,20,13,7,9,12,15,18,14,25,30.....

(these terms found one by one, using Maple in manual mode, no code).

Thanks in advance for any assistance with this 

Regards

David.

Is there a possibility to test the result of a numerically solved deq?

Something goes wrong in this worksheet with old code

Must be corrected
Thanks

fmatrix.mws

Anyone maybe helps me with writing the maple code mentioned in the following pdf.

I want to know about the potential flow around 3D domain.

Doc1.pdf

R2,R3,R4,R5 have been given,I try to solve the following ode equation: The initial value:r2(0)=r3(0)=r4(0)=r5#(0);system={diff(r2(theta),theta)=R2;diff(r3(theta),theta)=2*R2*U2+R3;diff(r4(theta),theta)=R2*(U2^2+2*U3)+3*R3*U2+R4;diff(r5(theta),theta)=2*R2*(U2*U3+U4)+3*R3*(U2^2+U3)+4*R4*U2+R5}.I want to get the exact solution of subs(theta=2*Pi,U5),But it just gives the form include _Z1,_Z_2,_Z3.How can I get exact value?
 

Download Li2.mw
 

How to turn the "a" into a number before it gets plotted? Here's how not to do it:

eval(plot(x, x = 0 .. a), a = 3);
Error, (in plot) expecting a real constant as range endpoint but received a
subs(plot(x, x = 0 .. a), a = 3);
Error, (in plot) expecting a real constant as range endpoint but received a

My limited experience with Maple graphics consists so far of plotting simple graphs using plot(). Now I'd like to do one like this (digital signal-processing: discretely sampling a continuous signal):

In addition to the graph of the continuous function, I've drawn dots on the graph at integer x-values, and then I've dropped verticals from the dots to the x-axis.

There will always be a dot on the graph at x=0, and the horizontal distance from one dot to the next will always be constant within a single graph, but not always equal to 1. For example, in one graph the dots might be spaced 0, Pi, 2*Pi, etc. It would be nice to show numerical labels for the x-values of the dots in that case too.

What functions should I read about in the docs for this? Thank you.

1. The attached file is a small test sample out of a larger program. I do not understand what is wrong with the code.

2. What does 'global variables are deprecated' mean when I want to solve a deq numerically? Cannot acces link indicated for further explanation.

3. Is there a means to use 'odetest' when a deq was solved numerically?

Dear everyone,

I want to execute a simple example by using Grid:-Send and Grid:-Receive commands. I have two questions:
1) Why does the Grid:-GetLastResult(0) command not return anything?

2) I tried to send the value of a, namely 2, from node 0 to node 1. It seems the execution is not stopped by Grid:-Send(1,a) and a_1:=Grid:-Receive(0) while CPU is not working.
Would anyone guide me?

The answer to the second question is more important to me.

Best wishes

restart;

Grid:-Run(0,"a:=2;");

Grid:-GetLastResult(0);

Grid:-Get(0,a);

Grid:-Send(1,a);

a_1:=Grid:-Receive(0);

The Maple Units implementation is really causing a lot of trouble.

Right now I'm getting results in Joule, but I want to convert to kN*m.

Can someone explain to me this?

Without loading Units, conversion works.

When loading Units, regardless of simple or standard, it doesn't work anymore.

Don't get a DEplot 

Download uitzoeken_ode_lesmateriaal_betounes_of_het_werkt.mw

Maple can return multiple values as expression sequence. The problem with this is that if one of the values is NULL, then one gets an error on the receiving end.

For example, suppose a proc foo() is meant to return 3 separate values. When doing 

  a,b,c := foo() 

This will fail if one of the values was NULL. For example, if b  was NULL, then Maple returns a,c only. The NULL value is discarded.

foo:=proc()
 local a,b,c;
  a:=1; b:=NULL; c:=3;
  return a,b,c;
end proc;

a,b,c := foo()

Error, mismatched multiple assignment of 3 variables on the left side and 2 values on the right side

I'd like to use NULL to indicate that this variable has no value (may be it could be something that could not be computed inside foo, or some solution that could not be found, and for any other reason.)

So currently I use {} instead of NULL everywhere to indicate no value for that variable and that works

foo:=proc()
 local a,b,c;
  a:=1; b:={}; c:=3;
  return a,b,c;
end proc;

a,b,c := foo()

And now I check using if b={} instead of if b=NULL and that works OK for what I want.

It would be nice if one could do this

  [a,b,c] := foo() 

And even if b was NULL, it will still keep that slot. But Maple will also replace [a,b,c]  with [a,c]  if b was NULL

So what is NULL used for in Maple exactly? (help says it is used to initialize an expression sequence). Since one can't return NULL as value.

In Mathematica, NULL can be returned as an actual value. For example

foo[] := Module[{a, b, c},
  a = 1; b = Null; c = 3;
  {a, b, c}
 ];

{a, b, c} = foo[]

gives

    {1, Null, 3}

My question: is using {} in place of NULL a common practice  in Maple to indicate no value for a variable being returned? Or is there a better way than this?

I have been using Maple 2017 but recently upgraded to MacOS Catalina. It doesn't work anymore. I would upgrade to Maple 2020, but worried will I have to upgrade again when the new MacOS 11 comes out? does anyone have any experiece dealing with similar situation on previous MacOS upgrade?

Hi,

This might be a very silly question but it is troubling me a little bit and that's why I need to post it. During the combination of symbolic and numerical comutation this '1.0' is appearing as a coefficient for the variables whose coeffecient is just '1'. It's quite annoying as sometimes if I have to collect coefficient of a variable for an example exp(I*omega*t) then I have to write exp(1.I*omega*t), so chances of making mistake is higher. Please find the attached worksheet for this. In eq(4), you can easily see that for x[3](t) and x[1](t) this '1.0' appears in front of the variables.

I really appreciate  if someone can help me out of this.

With Regards

Sunitquestion.mw
 

Download question.mw

Dear All,

I am studying parallel programming in Maple. Two words are important keys in parallel programming. The one is “task”, and another is “process”. In the help pages of Maple are said the Grid:-Map package is executed in separate “processes”, while the Threads:-Map command is tried to divide the input into separate “tasks”.

1. What is the difference between the “process” and “task” conception and meaning in Threads and Grid packages?
2. What is the discrepancy between Grid:-Map and Threads:-Map commands in the practice and execution?
3. Between the “process” and “task”, which one of them does have the smaller run-time?
4. What is the default value of “tasksize” option in Grid:-Map and Threads:-Map commands,
5. Does or the larger value of the “tasksize” option results in smaller run-time either the smaller value of that?

Can anyone explain to me the above questions?

Thanks in advance,

Best wishes