## solving nonlinear equations...

can i use maple to solve 15 nonlinear equations in 15 unknowns in the following form: T1^2 + 5(T1T2) + 6(T1T3)+ 8 (T1T4) + 7 (T1T5) + ....... -5 (T1T15) = 0 T2^2 + 3(T2T1) + 6(T2T3) -3 (T2T4) + 5 (T2T5) + ....... -3 (T2T15) - (T1T3) = 0 where T1 + T2 + T3 + T4 + ... + T15 =1

## Customizing the LaTeX output......

does somebody know how to tell maple to produce "a nicer" latex output? For example in workspace I get a nice fraction > y:=1/(1-x); y:=1/(1-x); but the latex command returns > latex(y); \left( 1-x \right) ^{-1}  I would like it to be something like \frac{1}{1-x}. My idea is that if maple knows how to print this as a fraction in the workspace, then the latex command could also behave like that. Any idea? Thanks in advance Jan

## Generating a list.....

Hello Maple experts. How could I generate a way to obtain the lists (Ws) for an arbitrary m (integer +)? (Below I ilustrate for m=1,2 and 3). Probably it is needed to use "apply" and "map".. but I don't see how to do it. #If m:=1, I want to generate the #following list: >W1:= [seq([B(j1)], j1=0..1)]; # the output --> [[B(0)], [B(1)]] #If m:=2, I want to generate the #following list: >W2:= [seq(seq([B(j1,j2)],j1=0..1),j2=0..1)]; #output-> [[B(0, 0)], [B(1, 0)], [B(0, 1)], [B(1, 1)]] #If m:=3, I want to generate the #following list: >W3:= [seq(seq(seq([B(j1,j2,j3)], j1=0..1),j2=0..1),j3=0..1)];

## Who are the "Other" mathematicians...

Out of curiosity, can those of you who voted "Other" in the current Greatest Mathematician poll share with us who you would have like to have seen? There are 8 of you who voted "Other". T4.

## Version Problem...

I have a procedure that will run fine in Maple 8 but gives an error when it is run in Maple 9.5. The error is a "cannot solve error". Are there any known issues that may lead to this type of problem? Thanks.

## Rearranging polynomials...

Is there an automatic command (or maybe it is needed a procedure) to rewrite (n+2 -k) * (n+1-k) as (n+2)*(n+1)k^0- (2n+3)*k^1 + k^2 ? Any suggestion will be very useful. Thanks in advance JJaques.

## OpenMaple advanced documentation...

I am looking for the JavaDoc of com.maplesoft.openmaple.* -- is it available somewhere? It looks like the API allows me to do DAG-based calls to Maple, but parts of that API appear undocumented :-( I am working with some people in Ireland who would prefer to pass Maple DAGs rather than strings, and it sure looks like the API allows it, but it isn't fully documented. Help!

## Just a variable...

Dear all: To point: It is possible to build a variable where I can have control of 4 groups of index around the variable, how i show above. G_INDEX1 G_INDEX2 VARIABLE G_INDEX3 G_INDEX4 I apreciate very much your help. best regards JADO

## Imaginary part that (in theory) shouldn't be there...

Just a short question - I tried isolating U(t) below. The paper I got this from didn't give what U would be, but there shouldn't be an imaginary part - I forget what command/assumptions to use in order to get rid of it. I've attached the rest of my worksheet in case anyone wants to see it - the parameters I used in param1 were given in the paper.

e1 := 30 = (0.19e-1*exp(2.5588*U(t))+0.518e-1*exp(2.6788*U(t)))*U(t);

## graphing a second order differential...

I'm trying to graph this differential f''(x) + x/f(x)=0 where y(0)=y'(1)=0 and x is in the range of (0,1) so far I have > de := diff(y(x),x,x)+x/y(x)=0; > ics := y(0)=0, D(y)(1)=0; > dsolve({de,ics}); / 2 \ | d | x de := |---- y(x)| + ---- = 0 | 2 | y(x) \ dx / ics := y(0) = 0, D(y)(1) = 0 it is not solving. Is there anything I' doing wrong?

## Solving a kinematics problem...

Hi, I want to solve a kinematics problem. I have the following DE: > eq1:=diff(v(t),t)+4.646e-4*v(t)^3-7.13e-3*v(t)^2-0.085*v(t)-2.82: Where v=v(t) is the speed and t the time. My goal is to get the space crossed in a period of time: from t=3.35 to t=4.77 (seconds). Additional info: v(3.35)=14.77 m/s v(4.77)=20.4 m/s I've tried solving this with Maple but I couldn't (I'm a Maple newbie). This is what I tried: 1) I isolate the v and dv terms equation, so that: dt=dv/(-4.646e-4*v^3+7.13e-3*v^2+0.085*v+2.82) 2) Then I integrate that to get the time is function of the speed, t=f(v).

## Maple in education?...

Is there an online forum/discussion board devoted to the use of Maple in mathematics education? The forums I know about (here, usenet groups), seem mostly technical. But I have some education questions I'd like to ask - I just don't know where to ask them. cheers, Alasdair