Hi,

I successfully animated my trigonometric problem on the wheel. Just a few details: 1) The 'gridlines' option deactivates when using the 'tickmarks' option. 2) The animation takes time to compile. Any suggestions? Thank you for your advice on optimizing this animation

RoueAnimation.mw

Is this internal error expected? Why does it happen? Reported to Maplesoft just in case.

Download simplify_Z_error_maple_2024_march_22_2024.mw

ps. Reported to Maplesoft just in case.

I do not like this feature at all. called Scrollable Matrices:

https://mapleprimes.com/maplesoftblog/224789-Discover-Whats-New-In-Maple-2024

Is there a way to turn it off? 

In Maple 2024 when I display a wide matrix, it no longer wraps around if the worksheet window width was smaller as it did in Maple 2023. I prefer the 2023 behavior.

A:=Matrix(3,4,{(1, 1) = (y(x) = RootOf(-Intat(1/(_a^(3/2)+1),_a = _Z+x)+x+Intat(1/
(_a^(3/2)+1),_a = 0))), (1, 2) = "explicit", (1, 3) = "", (1, 4) = false, (2, 1
) = (y(x) = -1/2+1/2*I*3^(1/2)-x), (2, 2) = "explicit", (2, 3) = "", (2, 4) = 
false, (3, 1) = (x = -2/3*ln(((y(x)+x)^(3/2))^(1/3)+1)+1/3*ln(((y(x)+x)^(3/2))^
(2/3)-((y(x)+x)^(3/2))^(1/3)+1)+2/3*3^(1/2)*arctan(1/3*(2*((y(x)+x)^(3/2))^(1/3
)-1)*3^(1/2))+1/9*3^(1/2)*Pi), (3, 2) = "implicit", (3, 3) = "", (3, 4) = true}
,datatype = anything,storage = rectangular,order = Fortran_order,shape = []);

Screen shot on Maple 2023

Screen shot on Maple 2024

I looked at Tools->options->Display and Interface but see nothing there to turn it off.

Maple 2024 on windows 10.

Windows 10 64bit

If I double click on a  file to open it from explorer  i.e. launch Maple, it is 50/50 whether Maple hangs on opening the file and I have to kill it in the Task Manager. This only happens the 1st time I try to open the file. Subsequent clicks on it will open it. If Maple is already open the problem does not happen.  The problem willl also be there after the PC is restarted. Has anyone else noticed this?

Hello,

I'm seeking an efficient solution to a particular problem. To illustrate, I'll provide a simplified example, though in practice, I'm handling lists with millions of elements.

Let's take the list, l: [1, 2, 3, 4, 5, 6, 7, 8]. Each element in this list has a corresponding twin. For instance, 1 has twins [4, 5], and 2 has twins [9, 12] (note that 12 is not in the original list, but that's not problematic). The complete list of twins is represented as t: [[4, 5], [9, 12], [6, 8], [1, 5], [1, 4], [3, 8], [13, 14, 17], [3, 6], [2, 12], [11, 12, 15]], and the twins are made available as they are needed.

The objective is to remove all twins starting from the first element of the list. Once a twin is removed, there's no need to check for twins for that particular element. For example, consider the first element, 1; the twins [4, 5] are removed, and there's no need to find the twins for those elements. The desired outcome would be the list [1, 2, 3, 7,10].

My solution utilizes a combination of a while loop and sets. However, it's painfully slow when dealing with lists larger than a few hundred thousand elements. 

Many thanks.  

I am a new Maple user. I have a system of differential equations and I want Maple to solve the system such that if one of the solutions (dependent variable) is larger than a certain value, one of the differential equation will be described in a different way. I will describe it with an example:

restart;
with(plots);
# imagine we have two differential equations:
eqn1 := diff(T(x), x) = x + T(x)/10 + q(x)/2;
eqn2 := diff(q(x), x) = T(x)^2/10 + 3*q(x);
#The solution is given by:
sol := dsolve({eqn1, eqn2, T(0) = 0, q(0) = 0}, {T(x), q(x)}, numeric, method = mebdfi);
odeplot(sol, [x, T(x)], x = 1 .. 3);

#what I want to do is to write a conditional differential equation that depends on the solution T(x) of the system. For exmaple, if the value of T(x) is larger than 4, the solver sould use a different equation to solve the system. Say for example instead of eqn1 it will use something else like: eqn1:=diff(T(x),x)=x+T(x)^2/200+q(x)/300.

#Internally after each iteration, the solver should check the value of the solution T(x), and depending on it it will choose a different differential equation to use in the next step x.

I tried defining the differential equation as piecewise but I was not successful.

Maple gives solutions that do not satisfy the equation. Wondering what do I need to change.  

restart;
n:=3;m:=2;
eqx:=x^(n/m)=a;
maple_sol:=[PDEtools:-Solve(eqx,x)]; #also tried solve()
F:=map(X->eval(eqx,X),maple_sol);
map(X->evalb(X),F);

I always verified in Mathematica

Any thought what is going on and what do I need to change in my Maple code to make it give the solution x=a^(2/3) only?  

It is also possible that Mathematica is the one who is skipping the two complex solutions, but then I need to verify these in Maple, and so far I can't. Only the first solution is verified by Maple.

Even simplification with assuming a>0 do not verify these two extra solution given with complex values. I also tried RealDomain package but this also had no effect. I tired assuming real also and tried simplify with symbolic option.

Anything else I should try?

Maple 2024 on windows 10

update

As I said, I tried RealDomain but with PDEtools:-Solve. With solve it works. Is this a bug? worksheet below

Download real_domain_solve_vs_PDEtools_Solve.mw

I have used "colour" as my spelling on optional inputs to procedures in my package.  How can I also handle the alternative spelling "color"?  
 

Download 2024-03-21_Q_colour_or_color.mw

May be someone can come up with a way to simplify this ode solution? I used the option useInt but the solution can be written in much simpler way than Maple gives.  Below is worksheet showing Maple's 2024 solution and my hand solution.

(having trouble uploading worksheet, will try again).

Download simpler_solution.mw

I keep losing the edits I do. I post screen shot. Click submit, then find all my changes are lost. Will try one more time and give up:

This is Maple solution

This is implified version

Both versions are verified correct by odetest. The question is there is a way to obtain the simpler form from Maple.

Hi,

I need your insights on two technical questions regarding my BoxPlot:

1) How to adjust the color of the text (Title and caption)

2) How to remove only the y-axis

Thank you

S5StatBoxPlotBtest.mw

I was wondering why Maple do not give this simpler solution to this ode. It solves it as exact. But if solved as separable, the solution is much simpler.

I solved this by hand and Maple verifies my solution. You can see the separable solution is much simpler. Any tricks to make Maple gives the simpler solution?

Download why_not_this_simpler_solution.mw

Hand solution

Maple 2024

it took me hrs to find this as my solution was failing verification and I did not know why.

What logic do you think Maple used to simplify this:

expr:=sqrt(1 + sin(x))/x;
simplify(expr)

To this

How could the above be simpler than

?

Compare to Mathematica

And this is what I expected. I am now scared to use simplify in Maple as I do not know what I will get back.

Is there a way to tell Maple not to do such strange "simplification"? I am doing this in code, and the code does not know what the expression is.

To see an example of the side effect of this, here is one, where if solution to an ode is simplified first, it no longer verifies by odetest without adding extra assumptions:

One does not expect that simplified solution no longer verfiies the ode.

Sure, I can do

          odetest(simplify(sol),ode) assuming real;

and now it gives 0. But the point is that the first one did not need assumptions.

Download simplify_with_odetest.mw

Maple 2024 on windows 10.

I am trying to tidy up cases where a proc returns multiple values. Have being trying Tabulate. I can get it to work when called after the results are returned. I would the procedure to do this but  keep acces to the name(s) assigned to the returned values.

A,B,C:= proc(...)  .....  return a, b, c    end proc. 

So basically display a tabulated of a, b, c.
 

Download 2024-03-18_Q_Format_Returned_Results_into_a_Table..mw

I am trying to get Maple to simplify the following trigonometric expressions (for "generic" parameters) as much as possible: 

sineExpr(3) := (
   sin(a[2] - b[1])*sin(a[3] - b[1]))/(
   sin(b[2] - b[1])*sin(b[3] - b[1]))*sin(a[1] - b[1]) + (
   sin(a[3] - b[2])*sin(a[1] - b[2]))/(
   sin(b[3] - b[2])*sin(b[1] - b[2]))*sin(a[2] - b[2]) + (
   sin(a[1] - b[3])*sin(a[2] - b[3]))/(
   sin(b[1] - b[3])*sin(b[2] - b[3]))*sin(a[3] - b[3]);
 = 
   


sineExpr(4) := (
   sin(a[2] - b[1])*sin(a[3] - b[1])*sin(a[4] - b[1]))/(
   sin(b[2] - b[1])*sin(b[3] - b[1])*sin(b[4] - b[1]))*
   sin(a[1] - b[1]) + (
   sin(a[3] - b[2])*sin(a[4] - b[2])*sin(a[1] - b[2]))/(
   sin(b[3] - b[2])*sin(b[4] - b[2])*sin(b[1] - b[2]))*
   sin(a[2] - b[2]) + (
   sin(a[4] - b[3])*sin(a[1] - b[3])*sin(a[2] - b[3]))/(
   sin(b[4] - b[3])*sin(b[1] - b[3])*sin(b[2] - b[3]))*
   sin(a[3] - b[3]) + (
   sin(a[1] - b[4])*sin(a[2] - b[4])*sin(a[3] - b[4]))/(
   sin(b[1] - b[4])*sin(b[2] - b[4])*sin(b[3] - b[4]))*
   sin(a[4] - b[4]);
 = 

So far, all of my attempts have failed: 
 

Download sinIdentity.mw

Note that because zero testing is frequently considerably easier, combine always succeeds in showing that the difference between the simplest possible and the original version is zero. 

combine(sin((a[1]+a[2]+a[3])-(b[1]+b[2]+b[3]))-sineExpr(3));
 = 
                               0

combine(sin((a[1]+a[2]+a[3]+a[4])-(b[1]+b[2]+b[3]+b[4]))-sineExpr(4));
 = 
                               0

However, I wonder if Maple can thoroughly simplify them without knowing those known “simplest possible” form beforehand. 
I also tried some other functions like rationalize, radnormal, and `convert/trig`, yet Maple appears to have not been capable of completely simplifying even the sub-simplest case 𝑚＝2. Is there any workaround? 

Of note, it can be demonstrated inductively that ∀m∈ℕ_₊ 

where none of the denominators is 0. Nevertheless, as mentioned above, is it possible to transform  and  (as well as , if possible) into potentially more elegant forms (Ideally,  is rewritten into ,  is rewritten into , and  is rewritten into .) without any such a priori knowledge? 
In Mma, these may be done using TrigReduce directly (cf. ); unfortunately, I cannot found a Maple equivalent to such functionality. 

 I am writing help pages for a package. The inital Overview should be at the top of the listing like in other Maple help directories. 

How to I do this? Mine is listing purely alphabetically.
 

Download Help_Edit_to_Database_2023.mw