Is there a trick to make Maple give same result below when using eval and limit?  

Attached worksheet. This comes in context of solving ode  using Laplace. Initial conditions are at zero. And need to solve for the constant of integration. 

It works when using eval, since Dirac(t) becomes Dirac(0), but when using Limit, Dirac(t) becomes zero and the _C1 is lost. I was wondering if limit should also return Dirac(0) like eval?

Download dirac_limit_dec_13_2024.mw

In Latest Maple 2024.2, I found that when doing z:=%  where % is result on integration, causes internal error 

          Error, unexpected result from Typesetting

But when the interface is set to standard, no such error.

This not only happen in worksheet, but also when code is run in command line!

Worksheet below.

Download extended_interface_causes_internal_bug_dec_13_2024.mw

ps. also reported to Maple support

I was rejected because the editor said my equation is too long. My question is: Is there a way to rewrite the equation in a more concise form? Additionally, is there a package in Maple that allows for automatic simplification or collection of terms without using specific commands? Any suggestions for addressing this issue would be appreciated.

Download coment.mw

Major deficiency in Physics[Vectors]; Distinct sets of basis vectors are not recognized!

You can't define vectors in alternative bases like: {\hat{i}',\hat{j}',\hat{k}'} or {\hat{i}_{1},\hat{j}_{2},\hat{k}_{3}}.

This deficiency has been around for a while. I have found other posts regarding this problem.

The deficiency greatly reduces the allowable calculations with Physics[Vector].

Are there any plans to fix this?

Here is my example which shows this deficiency in more detail.

physics_vectors_and_multiple_unit_vectors.mw
 

Download physics_vectors_and_multiple_unit_vectors.mw

This is my first time solving an equation where the solution includes a function $W(t)$. I'm not sure how to work with it. Does anyone have insights about this function? I also don't have much knowledge about stochastic processes, which I think might be related. How can I gather enough information to understand and plot such a function?
in that paper i saw he talk about wiener process!

>  restart; >  local gamma; (1) >  >  (2) >  >  params := {B[1]=1,n=2,delta=1,w=1,k=3 }; (3) >  insert numerical values >  solnum :=subs(params, T3); (4) >  >  >

Download graph-stochastic.mw

I'm having trouble solving this system of differential equations. I haven't solved systems of differential equations before but i tried defining the system and then using dsolve, but it couldn't solve all the equations.

Hope you can help.

Download System_Of_Differential_Equations.mw

I'm trying to transform a partial differential equation (PDE) into an ordinary differential equation (ODE) as demonstrated in the paper. However, I find some steps confusing and difficult to follow. The process often feels chaotic, and managing the complexity of the equations is overwhelming. Could you suggest an effective and systematic method to handle such transformations more easily?

Download transform-pde-to-ode-hard_example.mw

Is there a way to determine how we can construct a system of equations from this complex PDE? Also, moderator, you mentioned I could create a new question using the branch option, but you deleted my previous question, which led me to delete my earlier post. don't delete this one.

Download PDE-Hard.mw

The output  means that there is no real solution, but clearly, both and  satisfy the original equation: 

So, why does `solve` lose the real solutions without any warning messages? 
Code: 

restart;
eq := 9*(x^2 + 2*cos(x)) = Pi^2 + 9;
RealDomain:-solve(eq, [x]);
                               []

:-solve({eq, x >= 0}, [x]); # as (lhs - rhs)(eq) is an even function 
                               []

this equation will be solve by changing variable but when  i found the function and substitute the ODE is not zero where  is mistake?

Download problem.mw

I'm trying to solve system of ODE (Temperature changing with time) which are going to use the heat capacity obtained from thermophysical package (heat capacity is changing with temperature).

In the support page there is an example in which they were able to integrate the heat capacity from the package. So I wondering if it is possible to include it in an ODE system.

I used their same approach, I tried defining the call to the package as a function but I'm getting an error:

"Error, (in dsolve/numeric/process_input) input system must be an ODE system, found {ThermophysicalData:-CoolProp:-PropsSI(C,P,101325,T,T1(t),"hydrogen"), T1(t), T2(t), T3(t)}"

Attached question.mw

Hello sir, how are you?
Sorry to bother you, I needed your help. I have the script from your textbook "3D Graph Equation of Motorcycle run on Maple Software". It's not working. I'd appreciate it if you could take a look.

with(plots);
implicitplot3d(((49.80*x + 19.44*y + 133.2300 - 19.08*sqrt(x^2 + 8.30*x + 19.8469 + y^2 + 3.24*y) - 66.6150*abs(-3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42) + 0.5625*abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2) = ((((((((((((2 + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42) + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(x^2 + 8.30) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(y^2 + 3.24)) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(x^2 + 8.30) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42) + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(x^2 + 3.24) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(y^2 - 3.18)) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(x^2 + 8.30) - 3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42) + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(x^2 + 8.30) - 3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(x^2 + 3.24)) - 3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(y^2 + 3.24) + 0.42*abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2) and ((((((((((((2 + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42) + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(x^2 + 8.30) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(y^2 + 3.24)) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(x^2 + 8.30) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42) + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(x^2 + 3.24) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(y^2 - 3.18)) + abs(3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2))) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(x^2 + 8.30) - 3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42) + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(x^2 + 8.30) - 3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y - 2)*(x^2 + 3.24)) - 3.9*sqrt((x - 1.7)^2 + (y - 1.35)^2)) + 0.42 + abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2)*(y^2 + 3.24) + 0.42*abs(0.00390625*(x^8 + y^8) - 0.5*x + 2*y + 2) = 0, x = -7 .. 7, y = -4 .. 3, z = -3 .. 3, numpoints = 350000, style = surface, color = "Niagara Azure");

evalindets API says 

             evalindets( expr, atype, transformer, rest )

Where the transformer will be applied on any indents of atype.

But I want to be able to do the opposit, i.e. 

             evalindets( expr, except_this_atype, transformer, rest )

ie. apply the transformer on everything except those of atype.

Here is a concrete example and what I tried.

I get result of apply inverse Fourier transform which can have some terms in it which can not be evaluated. Like this

Y:=(s+1)/s^2+Int(sqrt(s^2),s);
expr:=inttrans:-invlaplace(Y,s,t);

Now I want to evaluate the above at some specific value of t, say t=0 but I do not want change/touch any "t" inside invlaplace(....) function. 

If I just do 

eval(expr,t=0)

So I tried evalindets with flat option and used for atype anything, then inside the transformer, check if op(0,X) is invlaplace (i.e the head), and if so, skip it. But it did not work

Y:=(s+1)/s^2+Int(sqrt(s^2),s);
expr:=inttrans:-invlaplace(Y,s,t);
evalindets[flat](expr,anything,X->`if`( evalb(op(0,X)='invlaplace'),X,eval(X,t=0)));
evalindets[flat](expr,anything,X->`if`( op(0,X)='invlaplace',X,eval(X,t=0)));

Currently what I do to make this to work, is to first replace the "t" inside invlaplace by another unused symbol, then do the eval to change t, then replace the symbol back to t.

Like this, and this works:

Y:=(s+1)/s^2+Int(sqrt(s^2),s);
expr:=inttrans:-invlaplace(Y,s,t);
expr:=evalindets[flat](expr,'specfunc(anything,invlaplace)',X->eval(X,t=T));
expr:=eval(expr,t=0);
expr:=eval(expr,T=t);

Is it possible to do the above using one call to evalindets?  Why did the check I had the above using `if`(...) not work?

It will be really useful if evalindets had option NOT atype,  in addition of just atype.

i.e. tell it to do the transformation on everything except the type given.

Maple 2024.2

I am trying to animate images generated in a do loop using display and insequence. I get an output but there is no flipping of the image even while I see the frames count flip through the frames. What am I doing wrong? See attached code. Thanks!

Why_cant_I_animate_still_images_like_this.mw

This is about delayed input after executing this file Campo_Médio_spin_7_2_-_Forum_optimize_02.mw

from annother question dealing with very large physics expressions (containing about 100000 exponential functions).

The GUI shows but when I place the cursor in an inputline and type, characters are sometimes displayed with a huge delay (about 20 seconds). This is from time to time, i.e. not always. All on Windows 10, 64 Gb memory and 4 Gb graphic card memory.

Can someone reproduce this?

Has anybody experienced the same (kernel with large expressions & GUI not responsive)?

Anything that I can test or try?

(I had a similar question about file size but this time the file size is small 150 kB and no big plots are made.

Only the kernel has to deal with the large expression. Output displayed on the GUI is negligible.)