Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Dear Friends,

I am having trouble in defining a linear differential operator. This is how Maple defines a linear differential operator

"A differential operator L in C(x)[Dx] is an expression a_0*Dx^0+ ... +a_n*Dx^n where a_0, ... , a_n are elements of C(x). So it is a polynomial in Dx with rational functions as coefficients."

Here's the link http://www.maplesoft.com/support/help/maple/view.aspx?path=diffop

where Dx^n implies n-th derivative with respect to x.

Now I want to know how can I apply this operator to a given function. Here is a failed example:

>L :=Dx^2+Dx;
Dx^2 + Dx
>simplify(L(x));
Dx(x)^2 + Dx(x)

I was expecting to get 1 if the given opertor is applied to x. I would really appreciate if someone can help me with this. 

Many thanks.

 

Hi, i got a litlle problem with fromats, i m realy bad at this.
i got procedure 'getone(z::list)' i was execute it like this  
>getone([seq(lineP[i], i = 1 .. pm)]::list)
where lineP is 

>pm := 3;
>rollx := rand(98.0 .. 102.0); rolly := rand(-1.0 .. 5);
>rolll := rand(.5 .. 1.0); rollf := rand(0. .. evalf(2*Pi));
>rollm := rand(0. .. 20.0);

>for i to pm do lineP[i] := [rollx(), rolly(), rolll(), rollf(), rollm()] end do;

it's pm times of z:=[rollx(), rolly(), rolll(), rollf(), rollm()] ::list

and i need make optimization work for any pm=1..100; with rabdomly generated iteration point as above.

The main queston is how make minimize as below
Minimize(z,variables=[z],   initialpoint={z=[seq(lineP[i], i = 1 .. pm)]},iterationlimit=1000,optimalitytolerance=0.01)

work with z::list kind of 

[[100.7798614, 1.109653266, 0.9840371500, 4.257816686, 9.737110573][100.0135459, 0.887539481, 0.9144164697, 3.980093624, 7.343851161][100.0661308, 3.724268229, 0.5020544909, 2.052134822, 14.37408543]]








I have some large worksheets in maple which I would like to export to Latex. Currently, the exported document included both the commands and the results. For example, if the maple code looks like:



The latex document will be:

    %% Created by Maple 17.01, Windows 7
    %% Source Worksheet: test4Export.mw
    %% Generated: Fri Sep 11 11:25:29 CEST 2015
    \documentclass{article}
    \usepackage{maplestd2e}
    \def\emptyline{\vspace{12pt}}
    \begin{document}
    \pagestyle{empty}
    \DefineParaStyle{Maple Heading 1}
    \DefineParaStyle{Maple Text Output}
    \DefineParaStyle{Maple Dash Item}
    \DefineParaStyle{Maple Bullet Item}
    \DefineParaStyle{Maple Normal}
    \DefineParaStyle{Maple Heading 4}
    \DefineParaStyle{Maple Heading 3}
    \DefineParaStyle{Maple Heading 2}
    \DefineParaStyle{Maple Warning}
    \DefineParaStyle{Maple Title}
    \DefineParaStyle{Maple Error}
    \DefineCharStyle{Maple Hyperlink}
    \DefineCharStyle{Maple 2D Math}
    \DefineCharStyle{Maple Maple Input}
    \DefineCharStyle{Maple 2D Output}
    \DefineCharStyle{Maple 2D Input}
    \begin{Maple Normal}{
    \begin{Maple Normal}{
    A test equation}\end{Maple Normal}
    
    }\end{Maple Normal}
    
    \begin{Maple Normal}{
    \begin{Maple Normal}{
    }\end{Maple Normal}
    }\end{Maple Normal}
    \mapleinline{inert}{2d}{A = c+d}{\[\displaystyle A=c+d\]}
    \begin{maplegroup}
    \mapleresult
    \begin{maplelatex}
    \mapleinline{inert}{2d}{A = c+d}{\[\displaystyle A=c+d\]}
    \end{maplelatex}
    \end{maplegroup}
    \begin{Maple Normal}{
    \begin{Maple Normal}{
    \mapleinline{inert}{2d}{}{\[\displaystyle \]}
    }\end{Maple Normal}
    }\end{Maple Normal}
    \end{document}

and the output is:


Is there a way to solve this once while exporting in Maple instead of editing the latex code manually?

I imported data into maple from excel.  I was able to make a scatterplot with my data and a regression line, but I have been unsuccessful in trying to combine them both onto the same plot.  I tried multiple different ways but still could not get it to work.  

I think it has to do something with the brackets around each element inside my imported array, but I am not sure.  Any ideas would be nice.

My objective is to put the regression line and scatterplot on same graph.project1.mwproject1.mw  

Thanks much.

Matt 

I have a series of formulae arranged as a vector.  I need to do two things to this vector:

(1) Optimize it using 'tryhard'.  

(2) Use the optimized results to create a new procedure.

 

I can do either (1) or (2) alone, but when I try to combine them as one command it never works.  A simplified example of what I'm attempting with the resulting error message is below:

with(codegen, optimize, makeproc);
V := Vector(4);
V[1] := x+y;
V[2] := x^2+y^2;
V[3] := x^3+y^3;
V[4] := x^2+y^2+x+y;

T := makeproc([optimize(V, 'tryhard')], [x, y]);

Error, (in codegen/makeproc) Unrecognized input [t78 = x+y, t73 = y^2, t74 = x^2, t77 = t73+t74, t1 = (Vector(4, {(1) = t78, (2) = t77, (3) = t73*y+t74*x, (4) = t77+t78}))]


It seems that makeproc cannot handle a combination of optimized assignments and a vector of formulae.  Is there anyway to fix this?

 

Thanks

Hello guys, I have a question. Is there any possibility to calculate two or more procedures at same time in the maple18 ?. I m thinking about using of the Grid or threads tools.

My problem is:

Given two functions/ procedures, f1(x,y) and f2(x,y). I need make an parallel computation of f1 and f2 and after i need get

f3 = f1+f2.

I am very grateful for the help.

I have the following equation

phi = -arctan(sin(2*theta)*(cos(beta)-1)/(cos(beta)*cos(2*theta)-cos(2*theta)-cos(beta)-1))+theta;

phi = -arctan(sin(2*theta)*(cos(beta)-1)/(cos(beta)*cos(2*theta)-cos(2*theta)-cos(beta)-1))+theta

 

In the denominator I wish to collect the two cos(2*theta) terms  into a single term, as in

(1-cos(beta))*cos(2*theta)

 

Is there a straighforward way of doing it?

 

 

 

 

 

As you can see, could you know how many columns of matrix ee has?

It is not easy.

The true column number is 7.

Is there a good method to sperate differetn columns apart? for example, use comma

Hi,

 I am using a very basic function in Statistics package as below and get error. 

X := RandomVariable(Normal(a, b));

I find fsolve() to be curiously unstable. Some of the behaviour I can guess at, but other parts are not as clear.

 

Define a function.

P := x->fsolve(exp(-(1/100)*t^2)*cos(2*t),t=x):

plot(P,4..5,smartview=false);

I'm begginer in maple so I have many questions

I have 

f1 := [x2^3-3*x1+x2, -x2-x3+u, x2-2*x3]

I want to put 

x1=2*x1

x2=2*x2

x3=5*x3

 

and I wand it in loop

for x4,...xn

so that f1 will be a vector

I set up a worksheet with embedded components in Maple 18. I am now trying to use the worksheet with Maple 2015. The GetProperty( ) procedure in DocumentTools cannot find a number of kinds of the embedded components (perhaps all kinds).

Why would this happen, and how can I fix it?

   Hi there,

   How can we pl0t the volume or surface of revolution of cardioid r=1-cos(\theta) about  polar axis or the vertical axis in maple14.

 Any help will be appreciated.

M.R.Yegan

The member function can provide the position of x in table/list s for the first variable

 

e.g.

f:=[a,b,c,a,a];
member(a,f,'p');

will provide p=1

 

If I would like to know the position of all a, [1,4,5], is there any simple way to obtain them? I can do something like

 

n:=0;

for i from 1 to 5 do

 if f[i]='a' then

  n:=n+1;

  p[n]:=i;

 end if;

end do;

 

something like that

Thank you very much

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