MaplePrimes Questions

Dear all, why "has" always returns false ?

I do not know if this is how it always been in Maple. But now I noticed when I set assertlevel to 2, in order to catch wrong assignment type in my code, the try/catch do not catch such an error.  

My question is: Has it always been like this in Maple? May be it was, I am just asking for confirmation. I seem to remember I was able to trap such error before.

Here is MWE

interface(version);

`Standard Worksheet Interface, Maple 2024.1, Windows 10, June 25 2024 Build ID 1835466`

Physics:-Version();

`The "Physics Updates" version in the MapleCloud is 1793 and is the same as the version installed in this computer, created 2024, August 25, 9:6 hours Pacific Time.`

libname;

"C:\Users\Owner\maple\toolbox\2024\Physics Updates\lib", "C:\Program Files\Maple 2024\lib"

restart;

interface(warnlevel=4):
kernelopts('assertlevel'=2):

 

foo:=proc();
local C_sol::list;
   try
      C_sol := 1;
   catch:
      print("error detected in my code");
   end try;
end proc:

foo(); #unable to catch assignment error

Error, (in foo) assertion failed in assignment to C_sol, expected list, got 1

 

 

Download why_trap_do_not_catch_assignment_error.mw

I'm struggling getting read statements to work in code attachments.

Are there any limitations for the read command?

Test.zip

Hi dear mapleprime users, i have a problem in a change of varibales if the following ode. i want to use "r=R*rs,u(r)=h*u(R*rs)" variable changes in ode, how can i do that, R is a constant. tnx for the help

restart;with(Student[ODEs]):

y := (1 + diff(u(r), r))*diff(u(r), r, r) + (1 + vs*u(r)/r + (1 - vs)/2*diff(u(r), r))*diff(u(r), r)/r - (1 + (1 + vs)/(2*r)*u(r))*u(r)/r^2

(1+diff(u(r), r))*(diff(diff(u(r), r), r))+(1+vs*u(r)/r+(1/2)*(1-vs)*(diff(u(r), r)))*(diff(u(r), r))/r-(1+(1/2)*(1+vs)*u(r)/r)*u(r)/r^2

(1)

constants := constants, R:

subs(r=R*rs,u(r)=h*u(R*rs),y) ;convert(%,D)

(1+diff(u(R*rs), R*rs))*(diff(diff(u(R*rs), R*rs), R*rs))+(1+vs*u(R*rs)/(R*rs)+(1/2)*(1-vs)*(diff(u(R*rs), R*rs)))*(diff(u(R*rs), R*rs))/(R*rs)-(1+(1/2)*(1+vs)*u(R*rs)/(R*rs))*u(R*rs)/(R^2*rs^2)

 

Error, invalid input: diff received R*rs, which is not valid for its 2nd argument

 
 

 

Download change_of_variables.mw

I sort of remember there is a special syntax for setting initial condition for an ode derivative as    y'(a)=b, where and are symbols. I forgot what it is, everything I try gives error. (I thought eval was used to work for this, but can't get it to work now).

Any one knows how to set this IC?   For an example, given this ode y''(x)+y'(x)+y(x)=0 I want to solve it with the IC as   y'(a)=b where has no numerical value. Just a symbol.

For an example, using another software, it is done as follows

ClearAll[x,y,a,b];
ode=y''[x]+y'[x]+y[x]==0;
DSolve[{ode,y'[a]==b},y[x],x]

Below is my attempts in Maple. I tried eval, subs, and the normal D(y)(a)=b but none of these works when is symbol. 

I looked at help and all examples I saw use constants, as in D(y)(0)=value. 

Iam sure this is possible to do in Maple, but I forgot how. Below is worksheet.
 

interface(version);

`Standard Worksheet Interface, Maple 2024.1, Windows 10, June 25 2024 Build ID 1835466`

restart;

ode:=diff(y(x),x$2)+diff(y(x),x)+y(x)=0;
IC1:=eval(diff(y(x),x),x=a)=b;
IC2:=D(y)(a)=b;
IC3:=subs(x=a,D(y)(x)=b);

diff(diff(y(x), x), x)+diff(y(x), x)+y(x) = 0

diff(y(a), a) = b

(D(y))(a) = b

(D(y))(a) = b

dsolve([ode,IC1]);

Error, (in dsolve) found differentiated functions with same name but depending on different arguments in the given DE system: {y(a), y(x)}

dsolve([ode,IC2]);

Error, (in dsolve) found differentiated functions with same name but depending on different arguments in the given DE system: {y(a), y(x)}

dsolve([ode,IC3]);

Error, (in dsolve) found differentiated functions with same name but depending on different arguments in the given DE system: {y(a), y(x)}

#eval works if the point is actual value as in
IC1:=eval(diff(y(x),x),x=0)=b;

eval(diff(y(x), x), {x = 0}) = b

#but I want x=a in the above.


Download how_to_set_IC_point_to_symbol.mw

There is no issue for dirichlet initial condition, where  y(a)=b works. It is the  neumann one which I can't figure its syntax. So this works OK

ode:=diff(y(x),x$2)+diff(y(x),x)+y(x)=0;
IC1:=y(a)=b;
dsolve([ode,IC1]);

Singular points appear in the solution and rendering of this program. If the data does not converge when taking a short time step, what should I do if I want to cross the singular point and continue drawing the image?solve826.mw


For years I observe that package orthopoly is not considered as a package within a procedure.
Finally I have decided to ask for clarifications: Can someone explain me why procedure f generates an error?
 

kernelopts(version)

`Maple 2015.2, APPLE UNIVERSAL OSX, Dec 20 2015, Build ID 1097895`

(1)


Without any procedure

restart

H(2, x)

H(2, x)

(2)

with(orthopoly):

H(2, x)

4*x^2-2

(3)


Within a procedure

restart

type(orthopoly, package)

true

(4)

f := proc(m)
  uses orthopoly:
  H(m, x)
end proc:

Error, `orthopoly` is not a module or member

 

g := proc(m)
  orthopoly:-H(m, x)
end proc:

g(2)

4*x^2-2

(5)

 


Download meaning.mw

TIA

 

How to use for loop in the optimization function? The objective function contain piecewise function, in that case what to do?
Can anyone help me with the syntax? I am attaching the sheet below:
Question_loop.mw

Maple help pages keep getting worst with each release.

I want all input to be displayed using Maple 1D notation, so I can copy the example to my worksheet since I only use worksheet and not document (2D) mode.

So even though the first thing I do when I open help it to turn off the 

                     view->Display examples with 2D

So it is no longer checked, I still see many pages using 2D math for input. 

Here is one example ?D  page

If I copy one such input to my worksheet now it looks like this

eveything in 2D becomes ?? when I copy it.

So one can only look but not copy?

Is there any other option to make sure, really make sure, all examples have 1D as input?

The problem is that it is all not consistent. Some examples have a mix of 2D and 1D as the above page. Some are in 2D and some are in 1D.

And this is all on the same help page!

Does no one inside Maplesoft even look at their own help pages?
 

At school the teacher always said that if we have second order ode and only one initial conditions (say y'(0)=0 or y(0)=0) then the solution should have one constant of integration in it.

And if we have no initial conditions, then the solution should have 2 constants of integrations in it.

And if we have two initial conditions, then the solution should have zero constants of integrations in it.

In this example, Maple is given second order ode with one IC. But the solution it gives when asked to solve it explicit, has no constant of integration in it at all. 

When asked to solve it using implicit, then the constant of integration shows up. 

Both solutions actually verify to be fully correct using odetest. So it looks like the solution as explicit is particular solution and not a general solution.

Why is that? Why it did not give general solution when asked to solve the ode as explicit?

restart;

interface(version);

`Standard Worksheet Interface, Maple 2024.1, Windows 10, June 25 2024 Build ID 1835466`

Physics:-Version();

`The "Physics Updates" version in the MapleCloud is 1793 and is the same as the version installed in this computer, created 2024, August 25, 9:6 hours Pacific Time.`

libname;

"C:\Users\Owner\maple\toolbox\2024\Physics Updates\lib", "C:\Program Files\Maple 2024\lib"

restart;

ode:=y(x)*diff(y(x),x$2)+diff(y(x),x)^2+1=0;
IC:=D(y)(0)=1;

y(x)*(diff(diff(y(x), x), x))+(diff(y(x), x))^2+1 = 0

(D(y))(0) = 1

sol1:=dsolve([ode,IC],explicit);
 

y(x) = (-x^2+x*2^(1/2)+1/2)^(1/2)

sol2:=dsolve([ode,IC],implicit);

-(1/2)*y(x)^2+x*y(0)-(1/2)*x^2+c__2 = 0

odetest(sol1,[ode,IC]);
odetest(sol2,[ode,IC]);

[0, 0]

[0, 0]

 

 

Download why_missing_constant_of_integration_august_25_2024.mw

In calculation limit, signum and infinity appear!!!

Is this correct?

 

lim.mw

The second result is definitely wrong, but why is this? 

MmaTranslator:-FromMma("Subscript[x, 0] -> 2 (y - z) (y - z)");
                       MmaTranslator:-FromMma(

MmaTranslator:-FromMma("Subscript[x, 0] -> 2 (y - z)^2"); # should return: x[0] = 2*(y - z)^2
                      MmaTranslator:-FromMma(

The result is still wrong even if I type an explicit multiplication sign (for instance, "Subscript[x, 0] -> 2*(y - z)^2"). 

Dear all
I have an equation, I would like to dermine the exact solution, but maple return an error 

exact_solution.mw

Thank you

On a Windows 10 installation with

I get after system restart and Maple launch

followed by

What could be the cause that the update is not downloading and how to fix it?

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