## on infinite repeated function composition...

Let

G:=s->q(1-ps)^(-1)

be a generating function with 1-p=q in (0,1). Then the repeated function composition

G(G(G(s)));(G@@3)(s);simplify(%);

gives me some concrete expression. What is the simplest way to get the general expression for 3 replaced by n?

## Fourier series and partial sums of numerical value...

How to change this general form to solve :

How to calculate with Maple Fourier coefficients on some numerical valued functions and how to calculate and plot the 3 partial sums :

Function B : on the interval [-phi, phi]

f(x)= NUMERICAL (x – phi/2) + NUMERICAL (x+phi/2)

Function C : on the interval [-phi, phi]

f(x) =  NUMERICAL (x+phi/2)

## Heat equation in 1 dimention - help needed...

I enclose Maple general solution to the PDF heat equation in 1 dimention.

I need corrections of it to enable me to calculate the heat equation in certain conditions :

du(x,t)/dt - d^2/x,t)/dx^2 = ;   t>0, x belongs to interval [0,phi[

with boundary conditions :

u(x,0) = sin(x)cos^2(x) ; x belongs to interval [0, phi)

u(0,t) = 0

u(phi,t) = 0  ;  t is still t>0

## Fsolve and initial parameter values...

Hi,

I'm solving a non-linear system of equations (8 equations, 7 parameters) numerically using Fsolve.

Here's my problem: I run fsolve in a loop for different values of one specific parameter. What I would like to do however is have a matrix of parameter values and tell fsolve to pick a new row of that matrix each time as parameter values until it has run down all the rows.

I just need some general guidelines and the commands. Much appreciate the help...

## Highlighting issue not fixed in 13.02

Maple 13

If you highlight words that are above or below one another on an adjacent line, the highlighting does not highlight properly.

## Lottery...

In the Belgium lottery they pick 6 numbers out of 42   (  there can't be 2 equals numbers being picked out )
Now for my maple homework , i must do some exercices in maple

1 ) Simulate the lottery
2 ) If you partici