The special linear group SL(2)consists of all 2 x 2 matrices (with complex elements) having a determinant of +1. Show that such matrices form a group. Note. The SL(2) group can be related to the full Lorentz group in Section 4.4, much as the SU(2) group is related to SO(3).
Arfken, and Weber.
v/r,
thanks,

well, i'm using a Evalution Version Maple .i spend one day time to find how can i change Maple to Document Mode but finally failed. May be Evalution Version doesn't have Work Mode and only have Document Mode? :(

I have a list of lists. The number of lists I have is unknown (though always a positive integer) and the number of elements in each list is unknown (though, again, always a positive integer). Some examples:
[[2],[3]];
[[4],[4],[5,1]];
[[3,4,1],[2],[2],[6,7]];
I'd like to form a list of all possible sums formed from one element of each list. The lists of sums from the examples above would be
[6];
[13,9];
[13,14,11,14,15,12];
The order doesn't matter, and repeated elements don't matter. I can form these lists when I can control the number of lists in the large list and write an explicit nest of for loops. I figure there's got to be a more elegant and powerful way of producing these sums.

Hi I've got 2 functions of a variable T [x(T) and z(T)] and a varying parameter u and i want to plot x(T) and z(T) against each other and show how the curve changes as u varies
(hope that makes sense)
how can i do that?

(I think this was posted in the wrong section of mapleprimes.)
Hi,
I have read the manual on saving to a file many times but it never works for me.
I am using Maple 10 on a Mac running MacOS 10.4.10.
I have copied the example from the manual and run that and it does work so I am quite confused.
Here is what I would like to do: I have a worksheet with lots of definitions,equations, lists, etc. and I would like to have these available on another worksheet. I have tried
> save nx; # nx is the name of my worksheet
then
> read nx;
Error, unable to read `nx`
I have the same problem with trying to save names e.g.

For the following function determine the x coordinates of the local minimum and the local maximum
f(x)=9x+21/(x-13)

Hello.
I'm having a problem graphing the following parametric equations in 3d , together:
x=1-2*t
y=-t
z=3+t
and
x= 5+3*s-4*t
y=7-5*s-5*t
z=-2-s+6*t
Thanks, excuse-me my English, I’m foreigner

Hallo,
I have a function in form f(x(t)), how can i define it in maple and diff it?
thanks a lot ex ante.

Hi,
Thanks to a few matrix-transformaties, I have elements like ' 1/2*cos(t)-1/2*3^(1/2)*sin(t) ' which also equals cos(t+1/3*pi) (--> thx to: cos(pi/3) = 1/2 and sin(pi/3) = sqrt(3)/2). But I don't find any way to make maple realize that it can be simplified that way. Can he make such simplifications?
thx in advance

How do I use newtons method tutor to find the fixed points of a function?

Ok, I'm writing a procedure that will return either true or false as to whether a given coordinate (u,v) lies with the plane polygon, made up of n sets of points (xi,yi).
I can write the loop code (I think) to check whether u and v are within the intervals; what i cannot do is define the matrix properly that representsteh points.
I think it should look like:
A:=linalg[det](linalg[Matrix](3,3,[X,Y,1,x[1],y[1],1,x[2],y[2],1]))
Obviously this is for a 3x3; I want to replace the x[1], y[1] with i's; however, no matter which way i do this i get an error message saying that i have invalid parameters for a matrix.

Hi Maple experts,
I have a seemingly simple procedure that is supposed to create random matrices.
What surprises me is the fact that it takes more CPU time evertime I call it (even in a fresh session). The procedure is as follows:
```
Feynman_random_rho := proc(N::posint, d::posint:=2)::'Matrix'(complex[8]);
#
# returns a random N-qudit density matrix where the optional second argument, d,
# specifies the dimension of each subsystem. By default, d=2 is assumed so that
# an N-qubit density matrix is generated.
# The density matrices are uniformly distributed according to the Hilbert-Schmidt
```

Hello,
I'm trying to integrate (for a homework) the Planck radiation formula. But the result (see the Maple10 worksheet below) is so strange (polylog(4,exp...) stuff) that I can't figure out what it means. I tried to compute taylor series at T=0 (because the exercise is to prove that integral is proportional to

`T^4`

) but Maple can't do it.

View 5085_planckintegration.mw on MapleNet or

Download 5085_planckintegr
If i have this matrix in maple, what does it mean the last row (0 0 0 0 1)
and what is 1? Is it like 2a+5b-6c+2d+6e=1.

View 6573_problem.mw on MapleNet or

Hi!
I am trying to write a question involving a second order initial value problem. The 2 conditions are
u(0) = $a
du
--(0) = $b
dx
but I am not able to code it correctly. I have tried
...
$eq2=$mathml("(d^2u)/(dx^2)+($mamb)(du)/(dx)+($ab)u=0");
$eq3=maple("printf(MathML:-ExportPresentation(u(0)=$a))");
$eq4=maple("printf(MathML:-ExportPresentation(du/dx(0)=$b))");
...
This works fine for the first condition, but I get
du
---- =
dx(0)
for the second one. Is there a way to get the "(0)" in the right place, either using "$mathml" or "printf"?
Thanks in advance for your help.