## Just not sure......

How does Maple send a plot to a ps file?

## Converting strings of letters into a list of lette...

How would I generate all possible strings of letters from a given string of letters? (For example, if a given string of letters is "AA", then all possible strings of letters are "A" and "AA". If a given string of letters is "ABA", then all possible strings of letters in lexicographic order are "A", "AA", "AAB", "AB", "ABA", "B", "BA", "BAA".) I know that I first need to convert the string of letters to a list of letters, but I can't figure out the correct coding. Thanks for any advice!

## How would I find distinct solutions in a matrix eq...

How would I find and check 10 distinct solutions to the matrix equation Matrix(2, 4, {(1, 1) = 1, (1, 2) = 2, (1, 3) = 3, (1, 4) = 4, (2, 1) = 5, (2, 2) = 6, (2, 3) = 7, (2, 4) = 8}) Vector(4, {(1) = x, (2) = x, (3) = x, (4) = x}) = Vector(2, {(1) = 10, (2) = 10}) ? I know that I need to use LinearSolve, but I'm not sure how to do it exactly...

## How can this be???...

Unless calculus has changed, when evaluating a definite integral, i.e., one with limits, first one performs the integration on the expression and then one evaluates the result for the upper limit and subtracts the result evaluated for the lower limit. That of course means that the indefinite integral (without limits) has to be produced before evaluating the result using the limits. Considering that, here is the confusing situation I have run into. Maple returns an answer, complicated to be sure, but an answer to int(sin(x)*sin(x^3+x), x = 0 .. infinity) suggesting that it CAN integrate sin(x)*sin(x^3+x)

## How plot output of algorithm, where number of step...

Hello everybody, I tried to plot the output of my algorithm as follows below, defining two vectors representing the output values of each algortihm iteration. However, in this little example this is easy, because I know the number of steps, i.e. 3. However, how can I work out this problem, if I don't know the number of steps in advance? That is, how can I define a vector which grows in size with the number of algoithm steps, but which keeps the old values of the previous steps as well? > restart: with(stats): Digits := 14: > > N := 4: > L := 0.002: > beta:=0.85: > beta:=0.85:

## fancy colors for a surface with implicitplot3d...

I am trying to plot surfaces implicitly using implicitplot3d with their color dependent on the value of a function f(x,y,z). I have been unable to use the procedures listed in the help file for Plot3d Color Functions, but on the web I see examples of people using something like implicitplot3d(...., color=z). Did this used to work in an older version of Maple (I'm using 10)? John Starrett

## How do I give variables superscripts that are not ...

How do I give variables superscripts that are not indices? I am an economist so, for example, t[H]^N where t is tariffs, H is the home country and N means Nash equilibrium.

## Create a graph from solutions of each iteration st...

Maple Professionals: I created an algorithm in maple, which calculates and prints out 2 values after each iteration, i.e. SFR and I (see code below). I wish to create a graph, which displays and connects the output of the iterations. That is, the y-axis should represent the variable SFR and the x-axis should represent the variable I. SFR ranges from 0 to 1 and I can range from 0 to infinity. I would be more than grateful, if someone could help me to create this graph within the code below. Thanks so much in advance, Nic > restart: with(stats): Digits := 14: > N := 4: > L := 0.002:

## Subsitution for Trig ??...

Dear folks... Can you find me some way to do this substitution in a better/easy way ?? Hw := subs(cos(w) = (1/z+z)*1/2, cos(2*w) = (1/z^2+z^2)*1/2, cos(3*w) = (1/z^3+z^3)*1/2, cos(4*w) = (1/z^4+z^4)*1/2, cos(4*w) = (1/z^4+z^4)*1/2, cos(5*w) = (1/z^5+z^5)*1/2, cos(6*w) = (1/z^6+z^6)*1/2, cos(7*w) = (1/z^7+z^7)*1/2, cos(8*w) = (1/z^8+z^8)*1/2, Hw) The list is already big and I've to add more for sin functions... cos (n*w/2) is later on the list... is there something like subs(cos(n*w) = (1/z^n+z^n)*1/2,Hw) ??? Or rather to do a z-transform directly ??

## How do I do a chi-squared minimization?...

I have a list of data and errors for which I want to do a chi-squared minimization for an arbitrary function. Is there a simple way to do this?

## Reproducibility...

Hi: Does anyone have any insight into the following: I have Maple programs that use the following pattern: restart; commands; . . . I run such a program and it runs perfectly. I then go back to the beginning, including the "restart" and run the SAME PROGRAM with NO CHANGES. It (sometimes) runs differently!! Still gives the same answer, but sometimes the order of elements is changed, sometimes variables have "-" signs outside brackets with the variables inside the brackets also changing sign. I can exit Maple, reload the program and it doesn't always do the same thing. This is not unique to one program - it happens a lot with different programs I have written.

## Shift letters by 3 using Stringtools...

Simple question: How do I shift a letter (or a set of letters) over 3 or 7 or whatever places in the alphabet using with(Stringtools); Without converting the letters to numbers? Is there a shift function? or do i have to create a whole new alphabet to charactermap to for each shift I want to do. It seems very easy but I can't quite figure it out. Any help would be appreciated.

## Plotting residuals after fitting with LSSolve

by: Maple
Hi, I am fitting experimental data DATA(t) to a MODEL(t) with LSSolve. What would be the shortest way to plot the residuals(t)? Thanks, Evgeni