HI all,

Here is an excerpt of a procedure I am working on:

>for i from 0 to N while T[i] <= rb do

>......

>Calculations

>.....

>X[1+i] := evalf(F(T[i],X[i]),15);
>T[1+i] := evalf(T[i]+h, 15);
>end do:

where rb is the rignt boundery

For example, if N equal 1000, knowing that X(T[0])=X[0] and F is an arrow procedure that depends on T[i] and X[i],  I will have 1001 elements that I could put in a list like:

[  [t[0],X[0]], [t[1],X[1]], ....]

I have Maple 11.01 and Im doing simple taylor and series commands. Perhaps I'm doing something wrong but I cant figure out what it is. This is my problem:

f := arctan(3*x);
taylor(f,x=0,3);


and the output from the function is: 3*x+O(x^3) but my "Texas Instruments TI-89 Titanium" and the "Maple TA" website say that the correct answer is 3*x-9*x^3

1-x  1 3

1 5-x 1

Good Day!

I numerically solved a system of ODEs with dsolve for the functions p(x) and q(x) over the domain x=[-1,+1].  Boundary conditions are specified at x=-1 and x=+1.  The output is a listprocedure.  

I want to determine the n-th derivatives of p(x) and q(x) at x=0.  Alternatively, I want the power series representation of p(x) and q(x) about x=0.

I would appreciate any advice on how to use Maple 10 to accomplish this.

Thanks.

Glenn

Hi I'm looking for a way to represent groups in Maple.  I have looked at the groups package, and still don't know how to deal with cyclic groups, or how to deal with elements of a group.  Note, I think I know how to do these things for permutation groups but what if I want to do it with a different group, like Z3. I really appreciate any help you can give me, thank you.

In 90's Maple was cool. Such things as fi, od, op, nops etc. were cool. They attracted many geeks.

LinearAlgebra:-LA_Main:-ReducedRowEchelonForm, end if, end do, and even ArrayNumElems  are not cool. That may be the reason, together with new Java interface (extremely not cool) why Maple stopped being cool in 2000's.

Alec

ok just trying to integrat something here

-[(tan(theta)) dtheta]/[sec(theta) (2cos(theta)-1)^(0.5) (1-cos(theta))] = (sqrt(Mgh/A)) t

and get to sec(theta) = 1 + sech (sqrt(Mgh/A)) t 

any advice?

Hello,

I have a simple acceleration/position problem that I can't figure out how to use piecewise to put into Maple --- can anyone assist?

Can we define dependencies of a variable after using the variable? For example, let us take,

f:=2*T+x^2;

Here, T has no dependencies. What should we do to make it dependent of x and y without redefining the whole thing as f:=2*T(x,y)+x^2;

and, can we do this for a whole matrix or vector?

Let us say that we have a code shown below:

restart:
with(DifferentialGeometry):
DGsetup([x,y],M):
e[1]:=A*ExteriorDerivative(x);
e[2]:=A*ExteriorDerivative(y);
simplify(e[1] &wedge e[1]+e[1] &wedge e[2]);

the output of this code is

How do I can generate eps figure from my maple calculation, in which expernal rectangular frame (solid lines) does not appear. I generate successfully the eps but I cannot remove the frame.

ok so i have the differnetial equation

[latex] \lambda^{2} (\frac{dx}{dt})^{2} = (cos{ \alpha} - x)(cos{ \beta} - x) [/latex]

where [latex] x = cos{ \theta} [/latex]

and the solution is

[latex] x = cos{ \alpha} sin^{2}{\frac{t}{2 \lambda}} + cos{ \beta} cos^{2}{\frac{t}{2 \lambda}} [/latex]

please show you're working cos that's where im getting lost

now i want to use maple to show this is the solution to the eqn.

how do i do this???

Hi to all,

I need to verify an multivariate equality in maple, here it goes:

Nr := 3 - cos(x - y) - cos( z - x) - cos(y - z);

Dr := (sin(x/2))^2 +  (sin(y/2))^2 + (sin(z/2))^2;

assume(x>0, x<Pi); assume(y>0,y<Pi); assume(z>0,z<Pi);

eqn := Nr/Dr;

I need to check whether eqn <= 6. I have tried

is(eqn > 6)  and is(eqn <=6) and both give FAIL as output. But if I change the denominator, Dr say Dr := Dr + 6;