Hi everyone,

i'm trying to find out the euler angles from a rotation matrix.

I have a matrix that contains the result of multpilying the 3 axis rotation R(z,c)*R(y,b)*R(x,a) without knowing the values of the angles a,c,b (that's what I want to find out), so there are sinus and cosinus everywhere. There is another matrix containing the expected values that each equation in the first matrix will match.

My problem is that I eventually will change the order of the multiplication of the axis (i.e. R(x,a)*R(z,c)*R(y,b)) and I'm try to make maple compute this for me.

I defined R(x,a), R(y,b) and R(z,c) as follows:

Rx := Matrix (3,3, [1,0,0,0,cos(a),-sin(a),0,sin(a),cos(a)]);    
Ry := Matrix (3,3, [sin(b), 0, cos(b), 0, 1, 0, -sin(b), 0, cos(b)]);
Rz := Matrix (3,3, [cos(c), -sin(c), 0, sin(c), cos(c), 0, 0, 0, 1]);
and
RT := Multiply(Multiply(Rx,Rz),Ry);

Since here is alright. Now I want to match RT to the solution matrix.

g1 := RT[1,1] = mat[1,1];
g2 := RT[1,2] = mat[1,2];
g3 := RT[1,3] = mat[1,3];
g4 := RT[2,1] = mat[2,1];
g5 := RT[2,2] = mat[2,2];
g6 := RT[2,3] = mat[2,3];
g7 := RT[3,1] = mat[3,1];
g8 := RT[3,2] = mat[3,2];
g9 := RT[3,3] = mat[3,3];

soll := fsolve({g1,g2,g3,g4,g5,g6,g7,g8,g9},{a,b,c});

At this point I'm getting an error. I know that there are more equations than variables but the system is solvable anyway.
What maple trick can I do to solve this system or to find the good 3 equations?

Extra question:

Is there any method to match RT to mat without all those gX equations?

Thank you everyone.

Hi,

The default way a prompt shows on my maple is

[> blah blah blah

but i see in many worksheets including maple help pages that it shows as

> blah blah blah

My Question is how do i remove that left square bracket "[" from appearing ?

   Hi, there

 I work with maple 13 and made a file that its contet is plotting curves and its size is 

151 MB.Now when I want to open it the file cannot be opened completely only about a quarter of its contents rises.

Thanks for your help

REGARDS

Yegan

Hi,

I tried to write a procedure which performs a differentiation on list elements:

list1:= [x^3 , 2x , 3]
list2:= [x^5, 2x^4 , 2x]

dList:=proc(a::list, b::list)::list;
    local res::list, i::integer, n::integer; 
    description "add list elements and diff";
    n:=min(nops(a), nops(b)) ;
res:=[seq(0, i=1..n)];
for i from 1 by 1 to n do
     res[i]:=diff(a[i]+b[i],x)
end do;
res;
end proc:


dList(list1,list2)

However the Line:  res[i]:=diff(a[i]+b[i],x)

causes the Error: Error, illegal use of an object as a name;

Can someone give me a hint how to fix this?

Thank you very much.

I hope you be health and happy :-)

Please send me a pdf of Maple 17, I have many problem about Maple 17, and can't ask whole of them here!!!

Hello,

 I need help writing a maple code to calculate the normal to the curve X^2-2X at x=1.5

and also display the curve, the tangent, and the normal on the same plot in the range x=[-10,10].

I manage to answer the question, but i am not quite certain if i have written a proper code..please if someone can review my solution and advise me i would really appreciate it....

I also would like to also make visisble the point of tangency at x=1.5 and give description of the figure but i am not sure how to do so...

how can i cut and paste the exact code with the images....it seesm that it doesnt allow me to do direct cut and paste so i changed it to 1-D and paste it into this page..

Thank you for your help.. 

restart;

    f := proc (x) options operator, arrow; x^2-2*x end proc;

   (D(f))(x);

 #Then, the slope of the line tangent to the graph of f(x) at the point with x-coordinate, x=1.5 is,

    D(f)*at*x = 1.5; 

   evalf((D(f))(1.5));

#The y-coordinate of the point is 

  f(x)*at*x = 1.5;

   evalf(f(1.5));

   showtangent(f(x), x = 1.5, color = [black, purple]);

   plot([f(x), (D(f))(1.5)*(x-1.5)+f(1.5)], x = -10 .. 10, y = -10 .. 10, color = [black, purple]);

  plot([x^2-2*x, x-1.5-.75, -x+.75], x = -10 .. 10, y = -10 .. 10, color = [black, purple, pink]);

hi, is there a way to change color of the page in Maple 18? in fact I am preparing my lectures using slideshow option and want to change the color instead of the default white.

Hi guys,

       I have the following Lagrange function. 

       (Note :w is the generalized co-cordinate.) 

       L := (diff(w(r, t), t, r))*v(r, t)

       ( I know

        If L =diff(w(t),t)*v(t)..... I can write EulerLagrange(L,t,w(t) but I dont know how to handle above function)

        Thanks in advance!!!

There was a command for torusknot(x,y,z),r,R.  Is it included in Maple 17? The index and help to do not list it.

Is there a newer version of a torus knot?

i asked it to show explanations

and got an solution about that, but it doesnt work in my Maple

i wanna know what do i wrong , why it`s not working right

I am having issues opening my final year project, it was working an hour ago and now it will not open. When I try to open the file it brings up a box title TEXT FORMAT CHOICE with the options: MAPLE TEXT, PLAIN TEXT, MAPLE INPUT and CANCEL.

This is all my work and I need it to complete my year.

Any help with how I can rectify this would be extremely helpful.

Many thanks

Hi

I am trying to optimize a 39, 1 MATLAB matrix, but cannot seem to get a result beyond a 6, 1 matrix. I am getting "Warning, cannot resolve types, reassigning t##'s type" where t## varies from each time I run it, and can show multiple of these warnings. It also says "Warning, cannot translate list".

I found a pretty similar problem posted here earlier, where the user "Carl Love" suggested to replace a command from the original code with

Matlab(
     subsop([-1,1]= J, eval([codegen:-optimize](tmp, tryhard), pow= `^`)),
     output = string, defaulttype = numeric
);

I was wondering what exactly this command does? Can I apply it to my code to solve my problem? It yielded a result that looks (on the surface) as an optimized code, but I don't feel completely comfortable using it without being certain.

What I have done is simply to replace Matlab(tmp, optimize) with the suggested code above. My code is attached. Thanks in advance for any help.

OptiMatrix.mw

Hi,

I'm, trying to write a nested loop in maple, but I keep getting the Unterminated Loop error. I'm sure the solution is quite simple, but I haven't been able to find it. Any suggestions would be much appreciated. The loop looks like this:

i:=0:
di:=25:
n:=1:  

while (n<=nLimit) do
sol1:=fsolve(eq1, y=i..i+di)
     if type(sol1, numeric) = true then
     lambda(n) :=sol1
     i:=i+di
     n:=n+1
     else  i:=i+di
     end if:
end do:

hello everyone..

please...

I need help to write a code to calculate the riemann sum approximation of the curve cos(sqrt(x^2+y^2)+1 

calculate the actual volume using integration

use the ranges x=[-2pi to 2pi]=y, and 20 subdivisions.

also display the curve and the parallelepiped approximations on the same plot.

Thank you for your help!

hi everyone,

i need help to write a maple code to generate an animation sequence showing the taylor series approximation of tan(x) from 

N=1..5.

plot the animation from x=-2pi to 2pi and y=-5 to 5.

thank you for your help..