MaplePrimes Questions

I would like to see the list of metrics recognize by Maple with their acornym.  For example,:

>Setup(coordinates = spherical, metric = kerr)

What can i do in this case? I,m traying solve a system of non linear equation like this, i want to know Rs and Rsh:


Dear friends

I have a long-running code that sometimes takes an hour to complete. I wonder is there a way to find out what line of code is currently running in a long-running maple code or to show an update of the variables. I have some print commands but are shown just after completion not before. 

Thank you in advance for your time.

Ok, I'm  a confident Matlab user, but for some reason Maple befuddles me.

Let's say I have two functions, x=f(t) and y=g(t) and I want to fill both two vectors with values, with t=-n:n.  How do I construct a loop to do that?

I'm trying to solve

deq := diff(theta(x), x) = -sin(theta(x));
                         
sol := dsolve({deq, theta(0) = -(1/2)*Pi});
 

The answer should be theta=-2*arctan(exp(-x))

but I get

theta(x) = arctan(2*exp(-x+I*Pi)/((exp(-x+I*Pi))^2+1), -((exp(-x+I*Pi))^2-1)/((exp(-x+I*Pi))^2+1))

Does it have to do with assuming?

Staffan Malmberg

 

There is a horse a buggy ride around a small village which takes roughly 30 minutes.  Here is an example timing for 12 consecutive rides [34, 29, 32, 32, 28, 28, 27, 28, 39, 24, 27, 27].

How can I create a monte carlo simulation graph that would estimate the future times based on given data?  Do I randomly pick numbers from the given list for a simulation or generate random numbers based on mean and standard deviation generated from the data?

When would the best possible time to come back after 4 rides be?

How could i show wilsons theorom on maple?

(p-1)!=-1(modp) if and only if p is prime.

Hello,

 

I want to determine the unknown out of the equation, and I do not know why I have such an error.                             

Error, (in MTM:-solve) {5*x-3 = 19} is not valid equation or expression

Why function Solve doesn't work?

I want to solve the following non linear PDE

SS := [diff(u(x, y, t), t)-0.625e-1*(diff(u(x, y, t), x, x)+diff(u(x, y, t), y, y))-6*(diff(u(x, y, t)*(diff(v(x, y, t), x)), x)+diff(u(x, y, t)*(diff(v(x, y, t), y)), y)) - 2*(u(x, y, t))(1-u(x, y, t))=0, diff(v(x, y, t), t)-(diff(v(x, y, t), x, x))-(diff(v(x, y, t), y, y))+16*v(x, y, t) -u(x, y, t)=0]

when i use the command

sol := pdsolve(SS, [u, v], singsol = false)

maple give the error message

Error, (in pdsolve) found the independent variables {t, x, y} also present in the names of the functions of the system []

 

Hello,

I have a question in factoring a matrix of complex polynomials into its Smith Normal Form. It seems that Maple is not giving me correct answers.

I tried a simple matrix:

A:=Matrix([[I*z-1, z+I], [z+I, z+I]]);

Maple gives me:

SmithForm( A, z, method='rational'  ,output=['S'] );

which is:

Matrix(2, 2, {(1, 1) = 1, (1, 2) = 0, (2, 1) = 0, (2, 2) = -4*z^2-(3*I)*z^3+z^4+1+(3*I)*z})

Since the gcd of the 4 elements is (z+i), it seems the Smith Normal Form should not be in this form. Also, I got errors in solving the other 2 matrices:

SmithForm( A, z, method='rational'  ,output=['U'] );
Error, (in convert/radical) numeric exception: division by zero

 

How to make it work for complex polynomials?

Sorry that I am not an expert in Algebra~

Thanks a lot!

William

I have the following fuction in Laplace domain,

restart:with(plots):with(inttrans):

u:=Pi^4*s3^(alpha-1)/((s1^2+Pi^2)*(s2^2+Pi^2)*(-s1^2+Pi^2*s3^alpha-s2^2))-Pi*s1*s2^(alpha-1)/(s3*(1+s2^alpha)*(-s1^2+Pi^2*s3^alpha-s2^2))-Pi*s1*s2^(alpha-1)/(-s1^2+Pi^2*s3^alpha-s2^2);

Where, s1, s2, s3 are the Laplace variables.

x1:=invlaplace(u, s1, x);

This worked. But the next two doesn't work.

y1:=invlaplace(x1, s2, y);

uu:=invlaplace(y1, s3,t);

Even, I tried to plot the unevaluated invlaplace but no luck.

alpha:=1:t:=1:
plot3d(uu,x =1..2, y=1..2);
 

Am I missing something?

 

Hi I have the question where i have to create a program in Maple

to find all the solutions to x^2 = -1(mod p) where 0 <= x < p . 

The progam has to be tested with different p values. 

 

I need two buttons.
one should remove a row from DataTable0
and the second should add a row.

Dear all,

I have the following question, this code:

restart:
with(DifferentialGeometry):
DGsetup([w1,w2],N):
eq1 := ExteriorDerivative(w1);  
eq2 := ExteriorDerivative(w1) &wedge ExteriorDerivative(w2);
eq1 &wedge eq2;

Gives the error:
Error, (in DifferentialGeometry:-Tools:-DGzero)  given degree, 3, exceeds that of frame dimension, 2

Unfortunately, I am not so familiar with differential geometry but as far as I know dw1 \wedge  (dw1 \wedge  dw2) = 0 should be correct.

Thank you for your help
best
baustamm1

Hi

 

I have an ODE which is based on a seperate function, and I would like to make a plot with the information

dsolve([diff(X(W), W) = (0.536000000000000e-3*(1-X(W)))*(1+X(W)), X(0) = 0], numeric)

and

C_A:= C_A0*(1-X(W))*(1+X(W))

which has been used as part of the ODE.

I would really like to plot C_A as a function of W. I have no problem plotting X as a function to W using odeplot. Ideally I would like to plot C_A and X vs W in the same plot.

Regards

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