Eigenvalues and eigenvectors of matrix...

daer all

how can i calculate eigenvalue and eigenvectors for a big Matrix?

example Matrix 12*12.

thank you

How to solve this ODE?...

Here it is:

I'd like to input it as 2-D and solve for x as a function of t.

Homotopy perturbation methods...

HPM_4.mwhi, I am using homotopy perturbation technique but there is arising an error in comaring coeffecient of p^0, p^1,.... plz help me

looking for thread with animation motion of house ...

I am looking for a thread that had the animation of a house with transverse earthquake waves.

Can someone point me to that thread?

How to solve this equation? Help!...

Hello

60=18+69*e(-0,0491t)

Thanks.

3D plot in maple...

I want to plot two functions on the same 3D plot. X axis is Pa, Y axis is Pb, and Z axis is the value of each functions. (Profit1 an Profit 3)

I want to see dots (preferably different color) for each function's values based on different Pa and Pb combinations. So, it will be easy to navigate how these functions approach (or drift apart) based on Pa and Pb.

I attached the maple file. My functions are Profit1 and Profit3.

Pa and Pb are probability values ranging 0 to 1, with 0.01 increment. I have the condition that Pa<Pb, always.

So, Pb = 0:0.01:1

Pa = 0:0.01:(Pb - 0.01)  (This the for loop I use in MATLAB, I am not sure it is the same in Maple)

The constant values are:

c = 0;
p = 1;
wu = 0.8;
w = 0.5;
Ha = 100;
Hb = 200;

How should I plot these functions on 3D? I also wonder that if it is possible to plot this scenario on 2D. scenario1.mw

system of equations...

Can i make a system of equations like this in maple?

What i am trying to do is i want to get all system of equations. For example when n=2, then we should get 8 equations like D(1,1,1), D(1,1,2),D(1,2,1),D(1,2,2),D(2,1,1),D(2,1,2),D(2,2,1) and D(2,2,2). If n=3 then the number of equations is 27 and so on. Can someone please advice me on this?

thanks

witribm

Summation in different form...

Dear Feinds,

How can I compute a double summation of the following form in Maple.

∑5m=1  ∑j+k=m-1 (2m (Dk(a_m*f)) (Dj(f)))

where Drepresents nth order derivative.

EDIT 1

EDIT 2

Function "f" in the first derivative is changed to "a_m*f" where a_m (variable coefficients) represents any function of x.

First of all thank you so much for all the nice answers.

Here, the notation a_m doesn't work as I was expecting and then I thought let's just make it a(m) for simplicity, it seemed to work fine but unfortunatelyassumes it as a constant function. How can I rectify this problem?

The Vertex and Foci of a Parametrizied Conic ...

Hi Mapleprimes,

I have a conic section that is parametric.  Namely,

x(t) = 9t^2 + 3t  + 367
y(t) = 3t^2 + 2t + 122

How can I find the Vertex and Foci of this curve?
Also, How can I do this for the general case?

Regards,

Matt

Using linear differential operator...

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."

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.

Problem with 'list'...

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]]

Export as Latex omitting commands...

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 Text Output}
\DefineParaStyle{Maple Dash Item}
\DefineParaStyle{Maple Bullet Item}
\DefineParaStyle{Maple Normal}
\DefineParaStyle{Maple Warning}
\DefineParaStyle{Maple Title}
\DefineParaStyle{Maple Error}
\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?

ScatterPlot with Regression Line...

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

Use of results of codegen[optimize] ...

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