fitting.mw

I am trying to calculate the Weyl Scalars for the Kerr metric and I get an error

"Error, (in simplify/recurse) numeric exception: division by zero"

restart;
with(Physics);
with(Tetrads);
g_[[5, 29, 1]];
WeylScalars(TransformTetrad(canonicalform));

When I try: 
Weyl[scalars];

It gives me the weyl scalars  but they dont look correct because some of the scalars are supposed to be zero for a type D spacetime.

Dear Maple users

I wanted to count the number of characters in a string containing special Danish letters beyond a...z. When using the special Danish letters æ, ø and å, those letters or characters are being counted as 2 characters each. I hope someone can help me having Maple count the length of strings containing those characters properly. 

Regards,

Erik V.

I desire to find the summation value of errors from EA1 to EA19. After finding the summation, i want to find the average error. Can any of experts show how the maple should be done?

Download error_pc-bbdf_forward_formula.mw

I have a system of 3 (very large) nonlinear equations in 3 variables. Since I cannot feed non-algebraic expressions into polynomial solvers, I want to extract only their numerators (which should be algebraic) and solve the three numerators for the 3 variables. These solutions should also solve the non-algebraic system then. 

This is the original system (sorry I don't know why but I was not able to include the massive expression in the startup code): System.mw

I think I am not understanding the syntax. To extract the numerators, I am using ((numer@evala@:-Norm@numer)~@eval)(Eqs) (scroll down to the very bottom of my script):

1. Am I wrong?
2. What exactly am I doing with this combined command?
3. Why length(((numer@evala@:-Norm@numer)~@eval)(Eqs)) is much larger than length(Eqs)? Shouldn't it be smaller since I just extract the numerators?

Thank you.

Is this something known or should be fixed? I check it is exists also in V 2022 for same input.

restart;

expr:=40/9*(43/32*2^(1/3)*(2*exp(16*c[2])*y^15-46/43*exp(11*c[2])*y^10+1/86*exp(6*c[2
])*y^5)*y*16^(2/3)*(exp(c[2])^7*y^7)^(2/3)-5/4*2^(2/3)*(2*exp(20*c[2])*y^20-169
/40*exp(15*c[2])*y^15+1/5*exp(10*c[2])*y^10)*16^(1/3)*(exp(c[2])^7*y^7)^(1/3)+(
2*exp(24*c[2])*y^20-53/2*exp(19*c[2])*y^15+17/4*exp(14*c[2])*y^10)*y^4)*exp(3*c
[2])/y^3/exp(5*c[2])/(1/9*(-1/4-exp(10*c[2])*y^10+8*exp(5*c[2])*y^5)*16^(2/3)*(
exp(c[2])^7*y^7)^(2/3)+(-2/3*(11/4*exp(9*c[2])*y^5-1/2*exp(4*c[2]))*2^(1/3)*y*
16^(1/3)*(exp(c[2])^7*y^7)^(1/3)+2^(2/3)*(2*exp(13*c[2])*y^10-2*exp(8*c[2])*y^5
))*y^3)/(-3/8*2^(2/3)*16^(2/3)*(exp(c[2])^7*y^7)^(2/3)*exp(c[2])*y+(exp(5*c[2])
*y^5-1/4)*16^(1/3)*(exp(c[2])^7*y^7)^(1/3)+3/2*2^(1/3)*exp(4*c[2])*y^4):


int(expr,y);

Error, (in convert/parfrac) cannot convert to partial fraction form

But for some reason I do not now understand, I am able to actually trap this error, which makes it much less serious for me, as the program can continue.

In all other cases where Maple generated such internal exceptions, it was not cought by try/catch.

So I am able to bypass this problem, but thought to check if someone can shed more light on this and why it happens.

Download int_error_may_29_2023.mw

Hi Maple friends,

I want to use Maple to solve a motion equation problem by using Lagrange 2 method. For that I for example have to calculate the derivative of the lagrange function by one of the generalized coordinates.

So let L for example be: L = diff(q1(t), t) + 2*diff(q2(t), t) + 3*q1(t)        // I`m sorry the insert Maple Math doesn`t work for me...

I now want to calculate diff(L,q1(t)) which leads to the error Message: "Error, invalid input: diff received q1(t), which is not valid for its 2nd argument".

The correct answer to this should be: diff(L, q1(t)) = 3

I`ve now tried a few different differentiate commands but none of them seems to work...

Would be great if someone could give me a hint or the right code.

Thanks in advance!

I am trying to put an annotation  (dimension of a distance) into a plot.

Any hints about what would the best way to do that?

 i’ve run the coding. The result is almost my expectation. However, why is the previous value not be substituted into the next one? As example, f4 should be submitted into f5 to evaluate its value

Download bbdf.mw

I do not know if this is new error in 2023. But solve gives this strange error first time it is called. Second time the error goes away.

Any workaround possible and why does it happen? It happens when kernelopts('assertlevel'=2): is set. But I need to have this set all the time.     Same problem when using PDEtools:-Solve. I can't even trap this error since it is internal. So program crash and no way to continue.

restart;
interface(warnlevel=4):
kernelopts('assertlevel'=2):
eq:=exp(x)*sin(y(x))-3*x^2+(exp(x)*cos(y(x))+1/3/y(x)^(2/3)) = 0;
solve(eq,y(x));

Error, (in SolveTools:-CancelInverses) assertion failed, simplify should not leak _Z variables out from RootOfs

Download problem_in_solve_may_29_2023.mw

Finding too many problems in Version 2023 :(

Update

This seems new problem in V 2023? I just tried it on V 2022 on same PC and no error there. First time used no error.  Here is V 2022 worksheet. So this seems like regression.

Download solve_may_29_2023_V2022.mw

Update: 

This bug is still not fixed in Maple 2024.1. I do not understand why bugs do not get fixed for years in Maple. I will report it again.

Download leaked_Z_still_not_fixed_in_maple_2024_1.mw

Update Nov 6, 2024

fyi, The above bug is still not fixed in Maple 2024.2

Download leak_Z_bug_in_maple_2024_2.mw

my program which reads random problems, read one large one. This cause plot to fail with internal error. 

I this known issue?

The expression is too large to post here, so I will only attach worksheet without displaying the actual ff function.

V 2023 on windows 10.

bug_plot_may_29_2023.mw

is this known limitation?

restart;
s:="regular";
MmaTranslator:-FromMma(s);
MmaTranslator:-Mma:-LeafCount(s);

Error, (in MmaTranslator:-Mma:-LeafCount) too many levels of recursion

V 2023 on windows.

Download crash_leafcount_may_29_2023.mw

For reference, it should have leafcount of 1

Update

Here is another way to cause this error 

Download crash_leafcount_V2_may_29_2023.mw

in V 2023 on windows, I can get server.exe to crash each time on this call. Do others see the same problem? I have not tried this on V 2022 to see if this new bug or not.

make sure to save ALL your work before trying this. I found Maple itself hangs also after the server.exe crash, so might not be able to save any work you have in your worksheets that are open at the time. 

I do not know if there is a workaround this. Does the program need to check for something to make sure it will not crash Maple before using this function? try/catch does not help with this. So now my program simply crash each time when it reads this problem.

restart;


expr:=1/(3*2^(2/3)*((2^(1/3)*(1+(256*u^3+1)^(1/2))^(2/3)-8*u)/(1+(256*u^3+1)^(1/2))^(1/3))^(1/2)+3*(1/(1+(256*u^3+1)^(1/2))^(1/3)*((8*2^(1/6)*u-2^(1/2)*(1+(256*u^3+1)^(1/2))^(2/3))*((2^(1/3)*(1+(256*u^3+1)^(1/2))^(2/3)-8*u)/(1+(256*u^3+1)^(1/2))^(1/3))^(1/2)-4*2^(1/6)*(1+(256*u^3+1)^(1/2))^(1/3))/((2^(1/3)*(1+(256*u^3+1)^(1/2))^(2/3)-8*u)/(1+(256*u^3+1)^(1/2))^(1/3))^(1/2))^(1/2)*2^(7/12)-16*u);


rationalize(expr);

Attached worksheet.
 

Download crash_may_28_2023.mw

 hi,

 Does anyone know why my code is not running?

 eqs.mw