I have experimental data that in some respect can be modelled by an asymmetric triangle function.  In the link below is my worsheet examining the effect of making the asymmetric triangle symmetric.  The frequency content, 2*pi*k/T, for both triangles is still the same.  Of course the Fourier coefficients will be different, but it appears the convergence is superior for the symmetric triangle.

I could do this with my experimental data by mirroring it about t=0.  Is this a mistake?  If I can do the symmetric case I think I can fit the data with much fewer terms.  If anyone has experience on these matters I would appreciated your comments.

discontinuty_Fourier_representation.mw

Hi.... I'd want to numerically solve a system of  n  polynomial equations of degree 2 with respect to n unknowns. It seems to me that there is a software in Maple (which deals only with the equations of degree 2) that solves this problem. I cannot find it anymore. Do you know it ? Thanks in advance.

Below is my attempt to evaluate an integral using the substition x=t/T.  MAPLE seems to be upset with my integration limits.  I do not know what I am doing wrong.

Download integration_error.mw

Hi

I have to create a function "I(epsilonc)" by integrating a function "sigma(y)"  from 0 to the variable "epsilonc"

but maple doesn t give me the actual formula of the integrated function, it only gives me equation 4 which is utterly useless to me.

How do I get Maple to actually calculate and give me the integrated function ??

Any help will be greatly appreciated

Download HW1_-_EC2_strain-pressure_graph.mw
 

Download HW1_-_EC2_strain-pressure_graph.mw

Possibly related to this. One has to remember that the result of convert/MeijerG for sin(z) is actually csgn(z)*sin(z):

convert(sin(z), MeijerG, include = all);
         sqrt(Pi)*MeijerG([[], []], [[1/2], [0]], (1/4)*z^2)

simplify(%);
         csgn(z)*sin(z)

That is the case for some other functions as well. Wouldn't it be better to return csgn(z)*MeijerG? For the sine, the form z*MeijerG is also a possibility. Might help to avoid issues similar to this one:

int(sin(a*x)*MeijerG([[], []], [[0], []], x)/x, x = 0 .. infinity); # incorrect for Re(a)<0
             -arctan(1/a)+(1/2)*Pi

I know that the Fourier transform of the triangle function is the sinc function squared, but I cannot seem to reproduce this in MAPLE.  How do I get from R2 to the square of the sinc function or do I have a screw up in defining the integral?  I need another set of eyes.  I have been at this for awhile & cannot seem to breakthrough.

Download symmetric_triangle_fourier_coeffs.mw

Why does MAPLE do this?  Check the link
 

Download Eulers_formula.mw

This question caught my eye on Mathematics Stack Exchange forum and doesnt seem to be resolved even with Mapel 2017.3:

Please follow the question and the discussion here

The question simply is to find the Fourier Transform of arctan(x)/x and use its inverse to verify if the solution provided by Maple was consistent.

The same sequence was tested on Wolfram Mathematica, and correct result was obtained.

Experienced users on this forum please advise what could be the possible explaination for this result.

Maple test:

Hi all, 

I am stuck in the follow sum:

Write a procedure to evaluate the sum of Sn and use this to find the value of n=10^p, p=1,2,3,4,5.

I started with defining Sn, 

restart:
Sn:=sum((1/k^(1/10))*sin(1/k), k=1..n);

Perhaps sum is not the correct one? Perhaps add?

And help appreciated

Hello, 

I've created a model of a rose flower that I'd like to export as a high quality picture without the white space.  Is there a way to do this?  

deq := FunctionAdvisor(DE, hypergeom([a, b], [c], z))[2, 1];
          diff(f(z), z, z) = ((-a-b-1)*z+c)*(diff(f(z), z))/(z*(z-1))-f(z)*a*b/(z*(z-1))

dsolve(deq, f(z));
Error, (in dsolve) Not an ODE w.r.t. f(z)

Apparently FunctionAdvisor is doing something special for the variable names in order to avoid collisions with user variables, but if I want to use the output programmatically, without copying and pasting it, is there a better way than something like this:

dsolve(subs(op(0, indets(deq)[-1]) = f, deq), f(z));
          f(z) = _C1*hypergeom([a, b], [c], z)+_C2*z^(1-c)*hypergeom([b-c+1, a-c+1], [2-c], z)

Hi there,

I was using maple 2016 and would like to plot the following:
Question.mw

However,when I run the code,only the axis are shown.How should I fix it?

Thanks!

For a numerical integration in Maple, one only adds evalf(...) to the integration commend. Now my question is that is it also the case for the multi-integration? Also consider that the multi-integration of the Maple doen't give any answer for some examples. So I think putting evalf around them, doesn't help. How can someone compute a numerical approximation of a multi-integration by Maple? Is there any prepared commend or package for it?

i have a PDE of heat equation, i can solve this using two boundary and initial condition, but i can not handle it using second boundary condition and maple also can not ! hoc can i solve it ?
 

Download pde.mw