## Curve Fitting Graph...

I know how to use the Curve Fitting Assistant to generate the least squares regression line for my data points. However, I need the graph of those data points and the regression line shown in the Assistant itself (with the circles / red line). How do I past / recreate that graph in the document itself?

## Help Understanding the Working of a Procedure...

Here's an example procedure that I need help with in order to figure out how it produces certain cases of it's output. First, in the case when the argument n is negative does the procedure call itself again in the denominator of the fraction and return the value of the last line of the procedure (inside the inner call to itself)? I also assumed that the special identifier procname was not in unevaluation quotes in order to allow evaluation. Next, I also don't understand how the output for cases when the exponent n is even is produced. What's really confusing is the use of the anonymous mapping (x -> x.x), and also the meaning of the entire expression after the word then. Is that a multiplication of the two expressions in parentheses ? i.e. (x -> x.x)(procname(X, n/2) > Pow := proc(X, n::integer) if n <> x.x)(procname(X, n/2)) else X.procname(X, n-1) end if end:

## what's wrong? int(f,x)...

Hi! i want to know the length of sin(x) from a to b. This function sqrt(1+cos(x)^2) >= 1 int(f,x) must be > 1 So...try to do it,plot, and see what happen. is correct?

## Toda Lattice Second Order Coupled Differential Equ...

Hello, I am trying to analyze the numeric solution to the following equations - now what I want to do is a little different, I want to plot u_(n)(some number) as a function of n. This would show me the progression through the particles/distance rather than with respect to time. Here is the code: > with(DEtools): > n:=5: #(n can be as large as 500..) > > sys:=[seq(diff(u||i(t),t\$2)=exp(u||(i+1)(t)-u||i(t))-exp(u||(i)(t)-u||(i-1)(t)),i=2..n-1)]: > eqn1:=diff(u||1(t),t\$2)=exp(u||(2)(t)-u||1(t))-exp(u||(1)(t)-u||(n)(t)): > eqnn:=diff(u||n(t),t\$2)=exp(u||(1)(t)-u||n(t))-exp(u||(n)(t)-u||(n-1)(t)):

## Duplicates on lists....

Hi Hope anyone can help. When using this syntax in Maple 10: >restart:_EnvAllSolutions:=true: f:=(x,y)->x^3*y-2*x^2*y+x*y^3; GRAD:=[diff(f(x,y),x),diff(f(x,y),y)]; STATS:=solve(GRAD,[x,y]); I get the following output: 3 2 3 f := (x, y) -> x y - 2 x y + x y 2 3 3 2 2 GRAD := [3 x y - 4 x y + y , x - 2 x + 3 x y ] STATS := [[x = 2, y = 0], [x = 0, y = 0], [x = 0, y = 0], 2 [x = 5/4, y = 1/4 RootOf(_Z - 5, label = _L2)]]

## How do I make 3D surface plot from Matrix?...

Hi, How to make surface plot from elements stored in matrix of form [x,y,z]? Let's suppose I have the following matrix: >A:=matrix([[1.00, 1.00, 167.76], [1.00, 2.00, 95.588], [2.00, 1.00, 500.64], [2.00, 2.00, 335.51]]); The first argument from the lists is value for X axis, the second argument is value for Y axis and the third argument is value for Z axis. For example: x=1, y=1, z=167.76 x=1, y=2, z=95.588 x=2, y=1, z=500.64 x=2, y=2, z=335.51 How to make such plot in 3D?

## Maple's 3 Valued Logical System...

Is Maple 10's logical system called a three valued one simply because of the value FAIL, in addition to the truth values true and false ?

## Superscripts in Linux...

I've already bothered two other forums with this (retarded?) question, but I'm not getting any answers. So I'm bothering you now. I apologize. I tried to search but didn't find anything. The problem is I'm not able to type ^ or input superscripts in Maple 10.02. I'm using FVWM2, but the problem occurs in KDE, too. Maple clearly gets some input, but is it not visible, and it doesn't have the same effects as a caret does. Maple displays letters with carets like ô fine, but not the caret alone, nor does Maple indicate I'm writing a superscript. And I can type anything, but the first character after inputting a caret doesn't get shown, and I get no superscripts. For example, typing "x^22" is "x2" on the screen. While Maple clearly indicates that I'm about to write a subscript if I've entered an underscore.

## Getting infinite symbol in Maplet...

Does anyone know how to display "infinity symbol" in Label element in Maplet?

## Matrix of Differential operators...

Hi, I am trying to do define a matrix of differential operators for e.g |diff((),x) , 0 | | 0 , diff((),y)| |diff((),y) , 0 | | 0 , diff((),x)| once this 4x2 operator is defined i can apply it to any function of two variables f(x,y) or a compatible(in size) matrix of such functions. How can I define such an operator in maple? Thanks, saurabh

## Loop over complex calculations without memory blow...

Hi Maple'primes. I have a question that I am sure has been posted many times but I will do again. I am using Maple 10 and I am trying to sweep over a parameter space with a for loop. At each iteration of the loop I am performing a complex calculation : double/triple integral or solving a boundary value problem. If I compute the compuation as a stand alone execution then it take ~ 30 sec, however, when I loop through 200 iterations the loop never finishes and Maple tells me I am out of memory. When I look at the memory (bottom right hand corner) it keep increasing to crazy levels (Gigs) during the loop, when each computaion should be about 20M. It seems like Maple keeps track of all the old computations when I clearly don't want it to. How can I speed this up?

## worksheet font? and plotting transformed data?...

2 questions I began in the worksheet mode but somehow the input font was changed from "Maple input" to "2D input". How do I maintain the "Maple input" as the default input? I am building a worksheet for nonlinear data regression. input data file 0.1 19.62 0.2 12.26 0.3 7.72 0.5 3.47 0.6 2.43 0.7 1.49 0.8 1.24 0.9 0.82 1.0 0.57 Here is what I have done thus far. Every thing works fine except for the plot call. I do not understand how plot syntax works with the sequences I made. Or am I using the wrong plot function? Thanks for you help, Bruce ---------------------------------------------------------------------