This is strange.  It is true that this function (a modular form) goes to infinity as t -> 0 from the right.
But should plotting it it do this?

    |\^/|     Maple 2019 (APPLE UNIVERSAL OSX)
._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2019
 \  MAPLE  /  All rights reserved. Maple is a trademark of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.
> version();
 User Interface: 1435526
         Kernel: 1435526
        Library: 1435526
                                    1435526

> exp(-Pi*t/3)^8*JacobiTheta3(Pi*(4*I*t+1)/2,
> exp(-12*Pi*t))^8/(exp(-Pi*t/6)^4*
> JacobiTheta3(Pi*(2*I*t + 1)/2, exp(-6*Pi*t))^4);
                 Pi t 8              Pi (4 I t + 1)                8
           exp(- ----)  JacobiTheta3(--------------, exp(-12 Pi t))
                  3                        2
           ---------------------------------------------------------
                 Pi t 4              Pi (2 I t + 1)               4
           exp(- ----)  JacobiTheta3(--------------, exp(-6 Pi t))
                  6                        2

> plot(%,t=0..4);
memory used=48.4MB, alloc=45.3MB, time=0.45
Execution stopped: Stack limit reached.

CH10A.MWS

Hello

I need Nu[a] in the label of y-axis.

i am writing      labels = [eta, 'Nu[a]'(eta)] but I am not getting. Please help me for writing correct code.

Hello

I am trying to reproduce a simple result from Linear Control Theory using Laplace Transform.  Here are the steps:

assume(omega>0);assume(zeta>0 and zeta<1);
tf:=omega^2/(s^2+2*zeta*omega*s+omega^2);
y:=tf*1/s;
yt:=inttrans:-invlaplace(y,s,t);
dyt:=diff(yt,t);

So far, so good.  Now I need to find the values of t (time) such that the dyt=0.  

solve(dyt=0,t);

but Maple returns only the trivial solution, that is, zero.   How can I find the next one (Tp - peak time = Pi/(omega*sqrt(1-zetaˆ2)))?  

Many thanks

Dear All, 

When I checked the dynamic responses of second-order systems, I saw this:

While MATLAB step response shows a smooth curve (the blue one), Maple came up with wiggles (the blue one).

What might have worked on Maple's side to make the curve wiggling?

The Maple worksheet as well as MATLAB M script are attached. The MATLAB M script extension (.m) is not allowed, therefore it was modified to '.txt'. 

Sallen_Key.mw

SallenKey_check.txt

Hi,

Thank you all for participating to my questions before.

I was wondering if we can change an equation into quartic form or quadratic form in maple.

I have succesfully got an equation like the following:

`S__2 ` = sin(alpha - phi)*sin(-beta + alpha)*(gamma*H^2*sin(beta - varepsilon)*sin(alpha) - h^2*sin(beta)*sin(alpha - varepsilon)*gamma + h^2*sin(beta)*sin(alpha - varepsilon)*psi)/(2*sin(-beta - delta - phi + alpha)*sin(beta)^2*sin(alpha - varepsilon)*sin(alpha)) - S__1

From the paper I studied, they change it to form an equation like this

`S__2 ` = 1/2*gamma*H^2*sin(beta - alpha)*(M__3(X)^3 + M__2(X)^2 + M__1*X)/(sin(beta)^2*(D__3(X)^3 + D__2(X)^2 + D__1*X + D__0)) - S__1

Where value of M, D and X is sets of long equation. Can someone teach me how to assign maple to change this kind of equation to another form of equation. It's good enough if I can learn how to learn the basic.

Thank you.

Regards

Faiz Farhan

Hi, 

I have created a Maple Workbook in which two worksheets are included. One worksheet does all the work and is password protected, while the other allows the user to insert input parameters and to view results.  In the password protected worksheet, I return the required results using the following statement:

> return matrix(G),matrix(A),matrix(DR),figplot

where the last returned item, figplot, is a figure (display(..., size = [600,600])).

When the results are requested in the other worksheet, Maple stacks the results on the same line, and when the width is not enough, the results overflow into the line next to it. I have two questions:

1- How can I print the returned entities (matrix(G), matrix(A), matrix(DR), figplot) on seperate lines instead of having them stacked in the same line?

2- Although I am specifying the size of the plot, when returned, the plot is very small. 

I tried to to return the output in a column matrix as follows:

> return matrix(3,1,[matrix(G), [matrix(A),matrix(DR)], figplot])

and it worked but the column matrix brackets encompass the results (looks ugly) and the figure shown is still very small and not according to the required size.

Thank you very much for your help

Can anyone help me to find a solution to  for the attached partial differential equation ?

I want to find a general solution to a partial differential equation by assuming that I know one solution, called , and trying to find another solution  by assuming that the general solution in the form of . I want to restrict the second solution to be in the form of  so that it satisfies the PDE, and is a function of  times . The latter makes error as the maple identifies that the function  depends on only one variable . Could you please help me to find a solution for  in the form ?

Also, I have trouble with defining the operator Do in the attached file.  When it operates on , maple gives D. It is not clear for me that whether this derivative is with respect to  or . I need is to define Do in a way so that the derivatives are correctly taken with respect to different separate variables.

Thank you for your help,

Ahmad

PDEs_KnownSolutoin.mw

Hi all, we know Maple provided discrim method to find discriminant of a polynomial 

I want to write a similar method with independent variable is ,... my code is below

Some examples

Maple already similar method? If not have, we can improve performance it?

Thank you very much.

Can anyone help me to solve the attached system of PDEs with a given expression for the HINT such as 

I am not able to set such an arbitray HINT function for system of PDEs.

SysPDE_HINT.mw

Thank you,

Ahmad

Here are 4 statements that attempt to use invlaplace on the exponential function. Two work, two don't.

Does anyone know why the two that don't work do that?

Thank you.

__________________________

with(inttrans);
[addtable, fourier, fouriercos, fouriersin, hankel, hilbert,   invfourier, invhilbert, invlaplace, invmellin, laplace, mellin,   savetable]
invlaplace(exp(-s),s,t);
                          Dirac(t - 1)
invlaplace(exp(s),s,t);
                    invlaplace(exp(s), s, t)
invlaplace(exp(s),s,t) assuming s<0,s::real;
                    invlaplace(exp(s), s, t)

invlaplace(exp(-s),s,t) assuming s<0,s::real;
                          Dirac(t - 1)
What is going on here?
 

Hello!
How do I solve ODE numerically. I tried, but I fall into a singularity when t is greater than 0.01.
Please help me!!!

I am a new user of Maple 2020. I have found that when I create a 3D plot, the point probe does not return the coordinates of the point that I click on.  I would appreciate any help in using the point probe in a 3d plot. Thanks.

Dear All,

I want to apply the ‘simplify’ command, in parallel, for the simplification of some parameters. Both Grid:-Map and Grid:-Run commands are tested. There is no error in both, whereas no simplification is implemented. It seems that the ‘simplify’ command correctly works on only ‘Master’ node, namely anywhere we are typing.

Can anyone help me to simplify in parallel. I examined two following codes.

1)

with (Grid);

for i from 1 to nops(dummy_UU1) do

freenode:=WaitForFirst():

Run(freenode,simplify,[dummy_UU1[i]],assignto='dummy_UU2'[i]):

end do:

Wait();

2)

dummy_UU2:=Map[tasksize=1](simplify,[seq(dummy_UU1[i],i=1..nops(dummy_UU1))]):

The following code is correctly executed and resulted in the simplification of dummy_UU1 components in serial.

for i from 1 to nops(dummy_UU1) do

dummy_UU2[i]:=simplify(dummy_UU1[i]):

end do:

Good day to all.

I have a data set consisting of 12 points in the x-y plane. These points form a periodic pattern and I was wondering if it is possible to obtain a curve that is a best-fit for these points. I have reason to expect that this pattern will repeat for successive points (i.e. points 13, 14, ..., 30).

Does anyone know of a way to obtain a function that can represent this behavior?

Thanks for reading!

MaplePrimes_Best_Fit.mw