## 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 ---------------------------------------------------------------------

## Adding Gridlines to a Plot?...

When using the "plot" command in Maple 9, is there any way to draw gridlines on your plot?

## Execution and UI components...

Hi, I have a matrix containing data read from an external file. I would like the user to select a colon number using a List box and, based on this number, build the resulting vector from the matrix. Is it possible to ask Maple to evaluate some parts (execution groups?) of a worksheet with some command (not menus)? Thanks.

## Difference Between "&xor" and "∨"...

Does the notation (&xor) stand for the logically exclusive operator "or" where both propositions of this operator cannot both have the truth value "true" ? Also, does the notation "∨" represent the more widely used logically inclusive operator "or" where it's possible for both operands to be true ? dc.