MaplePrimes Questions

Dear all,

I'm investigating the vibration performance of timber beams. I have sample data from my test which shows the vibration of the beam. I want to determine the eigenfrequency from this data. The problem I face is that I'm not finding the probber eigenfrequency. I have two data rows; time and amplitude. I'm able to plot the amplitude with SignalPlot but not the time, therefore I have to adjust the samplerate. I have the same problem with the fourier analysis. Is it possible to include the time period as well?

Regards,

 

Maurits

 

Hello,

I need a bimodal distribution. Since I could not find any among the ones provided by Maple, I created a simple one:

with(Statistics):
U := Distribution(PDF = (proc (t) options operator, arrow; piecewise(t < -5, 0, t < 5, -(1/2000)*t^4+(9/1000)*t^2+7/80, 0) end proc)):
X := RandomVariable(U):

#Plotting PDF and CDF works fine:
plot(PDF(X, t), t = -infinity .. infinity);

plot(CDF(X, t), t = -infinity .. infinity)

However, plotting the quantile function does not work:

plot(Quantile(X, z), z = 0 .. 1);

it has a decreasing part for z<1/2 and a discontinuity at z=1/2.
I can plot it correctly as
plot('Quantile'(X, z), z = 0 .. 1);

but I wonder why the first option does not work for such a simple distribution.

 

 

I have a trouble of Maple.
I can't understand the solution of Maple for simplification of Dirac and Heaviside functions.

I wrote the below code,

"restart:
simplify(Dirac(x)*f(x))".

Then, Maple return the answer of this code, "Dirac(x)*f(0)".
I could understand this solution, then I rewrote the next code,

"restart:
_EnvUseHeavisideAsUnitStep:=true:
Heaviside(0)"

Then, Maple returned "1", because I set the value of Heaviside's step function H(x) at x=0.
Finally, I wrote the below code, but there was a problem, I think.

"restart:
_EnvUseHeavisideAsUnitStep:=true:
simplify(Dirac(x)*Heaviside(x))"

The solution of Maple was "0".

According to my first code, I think this solution is Dirac(x)*Heaviside(0), that is, Dirac(x).
I can't understand this result.
Someone help me, please.

 

Dear all,

I need to transforme these equation from time domain to frequency domain with fourier transforms and solve it in frequency domain but i received the flowing error

any helps

thank you !

 

``

restart:with(inttrans):

E:=1;L:=1;

1

 

1

(1)

 

equ := arccos(y(t)/R)*R*L*(diff(y(t), `$`(t, 1)))*abs(diff(y(t), `$`(t, 1)))+diff(y(t), `$`(t, 2))+m*sin(omega*t+k*R*sin(`&theta;l`))+arccos(y(t)/R);

arccos(y(t)/R)*R*(diff(y(t), t))*abs(diff(y(t), t))+diff(diff(y(t), t), t)+m*sin(omega*t+k*R*sin(`&theta;l`))+arccos(y(t)/R)

(2)

eq:=fourier(equ,t,omega);

((1/2)*I)*m*fourier(exp(-I*omega*t), t, omega)*exp(-(1/2)*k*R*exp(I*`&theta;l`)+(1/2)*k*R*exp(-I*`&theta;l`))-omega^2*fourier(y(t), t, omega)-((1/2)*I)*m*fourier(exp(I*omega*t), t, omega)*exp((1/2)*k*R*exp(I*`&theta;l`)-(1/2)*k*R*exp(-I*`&theta;l`))+R*fourier(arccos(y(t)/R)*(diff(y(t), t))*abs(diff(y(t), t)), t, omega)+fourier(arccos(y(t)/R), t, omega)

(3)

csi := y(0) = 0.2e-1, (D(y))(0) = 0;

y(0) = 0.2e-1, (D(y))(0) = 0

(4)

sol := dsolve({csi, eq}, numeric, maxfun = 1000000000)

Warning, The use of global variables in numerical ODE problems is deprecated, and will be removed in a future release. Use the 'parameters' argument instead (see ?dsolve,numeric,parameters)

 

Error, (in solve) cannot solve expressions with fourier(arccos(Y[1]/R)*YP[1]*abs(YP[1]), t, omega) for YP[1]

 

Code :

Download Fourier_TRAns_MAPLEprime.mwFourier_TRAns_MAPLEprime.mw

I am interested to perform taylor expansion

f(x,y)=sin(x+y)+y

at (0,0). How we perform this in maple?

Bear with me, while I've used Maple V, I've never done any actual programming in Maple as I've almost entirely used Matlab.  Right now I've got an issue with trying to fill a square matrix using a sinc function [(sin(Pi*x)/(Pi*x)].  Here's my procedure:


 

Note that the arguments for sin and for the denominator are written as they are so as to define the domain of  the sinc function as [-m/2,m/2] along a row and [-n/2,n/2] along a column of the matrix I want to fill and so that I the arguments can have decimal values.  Also note the conditional statements there because when the sine argument and the denominator yields Pi*0, the function equals 1 despite the zero in the denominator.

So I'm unsure how to fill a matrix of some size m x n using the procedure (or a function if that makes the programming easier).  Here's how I would write the code for Matlab:

Z=zeros(2001,2001);
X=(-5:.005:5)';
Y=(-5:.005:5)';

count1=1;

for j=-5:.005:5
    count2=1;
    for k=-5:.005:5
        Z(count1,count2)=sinc(k)^2*sinc(j)^2;
        count2=count2+1;
    end
    count1=count1+1;
end

Given my meager experience writing Maple code, I'm a bit flumoxed.

Thanks, and don't feel like you have to be gentle. No one ever accused me of writing elegant code.

Thanks

Dears;

Hope everyone is fine. I am try to find the numerical solutions of system of nonlinear algabric equation via newton's raphson method in the attached file but failed. Please see the attachment and try to correct. You can solve it least square method if possible. I am waiting your positive response. 

Help_in_Newton.mw

With my best regards and sincerely.

Muhammad Usman

School of Mathematical Sciences 
Peking University, Beijing, China

Email: muhammadusman@pku.edu.cn

Hi, I'm trying to use Maple to construct some examples of symmetry solutions for certain nonlinear PDE's.  As a warm up, however, I'm working through the commands just for the heat equation in 3d: u[t]-u[x,x]-u[y,y]-u[z,z]=0 

I've gotten Maple to produce both determining equations for the symmetry infinitesimal generators via the DeterminingPDE command.  I've also gotten the command Infinitesimals to work too.

However, when I next use PDETools Invariants command, it correctly outputs invariants for most of the generator output of Infinitesimals EXCEPT it won't output anything for the simple rotation generators yd[x]-xd[y].  It will, however, output invariants if the rotation is between an independent and the dependent coordinate.

An example:
with(PDETools)
S:=[_xi[x]=y, _xi[y]=-x, _eta[u]=0]
Invariants(S,u(x,y))

*Above returns nothing, But if you instead have _xi[x]=x and _xi[y]=y then it returns the right invariants.

Thanks in advance!

Hey, this is not the I've had this encounter. I want to open this saved document but when I open it and Maple starts up it just hits me with "A problem was encountered while opening the workbook. Database is not opened". How can I get to open it properly and see my math notes?

How can this be prevented?

When I try to upload the file in this message it says "Cant open a null file"

Any help?

 

Jacob

 

In manual solution is no problem, but i am interest to compute it with any software such maple since i am not familiar, How to find solution in term of parametric equation a(r), b(r), c(r) for r=-5..5 and also visualize this three derivative condition? d(a)=a+b+c, d(b)=a-b+c, d(c)=a-b-c

 

Does anyone know how to take a Maple plot and convert it to FITS format?  FITS is commonly used in astronomical images and stands for Flexible Image Transport System.

 

 

Thank you very much !

Hey, I recently switched to Maple 2016, but now whenever I write equations in the text field it calculates it like if it was a math problem it had to solve, but I just want it to be text, nothing else.

Do you know of any way to turn this off? As in Maple 2015 I could write equations in the text field, and when I ran the worksheet through it wouldn't try to calculate text fields, but 2016 calculates the text fields and shows the solution as a blue text... So annoying.

If I was to project a squared profile onto a cylinder. Would mable be able to help me calculating the area that is projected onto the cylinder?

Since the cylinder walls are curved I assume that the are projected on to the curved surface which is the wass of the cylinder is bigger then side*side.

 

In the link I tried to sketch the "problem" the red square represent the area I want to project onto the cylinder.

https://i.gyazo.com/4113ad5255385b438c8872941e14baf1.png

 

Thanks

Hello,

I want to use Maple from a good text-editor. I heard about EMACS and MapleV.

I have installed Maple 18 (windows 10) and GNU Emacs 25.1.1 (x86_64-w64-mingw32) and Joe Riels mapleV Emacs Mode 2.33. I tried to follow all steps in the Install-Dokumentation  doc/maplev.html#Installation, I failed at A.1 Emacs Files.

My Emacs lisp files located at:  

Byte-compile them from Emacs with the command

      

gives the result:

With the Syntax without leading point (as in documentation)

     

gives the result:

Who knows, whats wrong? I've never used Emacs before.

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