## How to change the format of returned entities in a...

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

## Solve a PDE with a known solution...

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.

## Performance discriminant procedure...

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.

## Solve a system of partial differential equations w...

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,

## Inverse Laplace Transform sort of works and sort o...

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?

## How to numerically solve nonlinear ODE...

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

## 3d plot question...

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.

## How can I apply simplify command in parallel?...

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)

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:

## How can I extract a best-fit function for a list o...

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?

MaplePrimes_Best_Fit.mw

## plot3d of stable values...

Hi, I have this values I want to plot as three dimension how can I plot it?

ApproximateSol := proc (w, t) options operator, arrow; w^2+t+rtable(1 .. 1, 1 .. 1, {(1, 1) = (.2960214364*piecewise(0 <= w and w < 1, 1)+.1939557186*piecewise(0 <= w and w < 1, 4*w-2)+0.2635024425e-1*piecewise(0 <= w and w < 1, 16*w^2-16*w+3))*(0.7620592980e-10*piecewise(0 <= t and t < 1, 1)+0.1532687805e-9*piecewise(0 <= t and t < 1, 4*t-2)+0.8496500063e-10*piecewise(0 <= t and t < 1, 16*t^2-16*t+3))+(-.2380729574*piecewise(0 <= w and w < 1, 1)-0.9481780593e-1*piecewise(0 <= w and w < 1, 4*w-2)+0.442773709e-1*piecewise(0 <= w and w < 1, 16*w^2-16*w+3))*(-0.2362176714e-9*piecewise(0 <= t and t < 1, 1)+0.6793447600e-10*piecewise(0 <= t and t < 1, 4*t-2)+0.2039654777e-9*piecewise(0 <= t and t < 1, 16*t^2-16*t+3))+(0.7931761947e-1*piecewise(0 <= w and w < 1, 1)+0.967928372e-2*piecewise(0 <= w and w < 1, 4*w-2)-0.2747829289e-1*piecewise(0 <= w and w < 1, 16*w^2-16*w+3))*(-0.1118492678e-9*piecewise(0 <= t and t < 1, 1)-0.5202991920e-10*piecewise(0 <= t and t < 1, 4*t-2)+0.1128321001e-9*piecewise(0 <= t and t < 1, 16*t^2-16*t+3))}, datatype = anything, subtype = Matrix, storage = rectangular, order = Fortran_order) end proc

## Differential Transform Method...

Could anyone help me out to convert the equation into differential transform method

## Import of Equation into word...

Hello Everyone, can anyone explain how to import a mathematical equation from maple to word directly?

## The strandbeest

Maple 2020

The strandbeest is a walking machine developed by Theo Jansen. Its cleverly designed legs consist of single-degree-of-freedom linkage mechanisms, actuated by the turning of a wind-powered crankshaft.

His working models are generally large - something of the order of the size of a bus. Look for videos on YouTube.  Commercially made small toy models are also available.  This one sells for under \$10 and it's fun to assemble and works quite well. Beware that the kit consists of over 100 tiny pieces - so assembling it is not for the impatient type.

Here is a Maple worksheet that produces an animated strandbeest. Link lengths are taken from Theo Jansen's video (go to his site above and click on Explains) where he explains that he calculated the optimal link lengths by applying a genetic algorithm.

Here is a Maple animation of a single leg.  The yellow disk represents the crankshaft.

And here are two legs working in tandem:

Here is the complete beest, running on six legs. The crankshaft turns at a constant angular velocity.

The toy model noted above runs on twelve legs for greater stability.

## Write a program to display all different relation...

Write a program to display all different relations on a set with 4 elements.