Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Hi.

I want to solve two varibles from a vector crossproduct equation, but receives a failure massage no matter what i do.
The equation is the one below and i want to solve for Gx and Gy.

Really hope you can help.. THANKS!

with(LinearAlgebra);
F1:=<Fr1,-Ft1,-Fa1>;
Sug :=<0,0,-Duzg>;
Su1:=<Dux1,0,-Duz1>;
Mmotor:=<0,0,-Mind>;
G:=<Gx,Gy,Gz>;
OO:=<0,0,0>;

U:=(Su1 &x F1) + (Sug &x G) - Mmotor = OO;...

The sine wave in Maple 16 is shown as following

The sine wave in Mathematica is shown as following

It's obvious that the second one is smoother than the first one,I want to know how to make curves smoother in Maple 16.

Hi,

 

  I have a .txt file created from maple. I want to read some data using maple. The content of that .txt file is

 

....

some word,                     -7
                    -0.25333 10

...

some word,

The second graph is incorrect. The reason?

plots[polarplot]([3+cos(4*t), 2-cos(4*t)], t = 0 .. 2*Pi)

Hi,

I would like to know if it is possible to make Maple do the following:

Suppose you have a function dx:=1/((x1-x3)^2+(x2-x4)^2) and we want  diff(dx,x1), is there a way to obtain: *-(2*x1-2*x3)/((x1-x3)^2+(x2-x4)^2)^2 instead of -1/(x1^2-2*x1*x3+x3^2+x2^2-2*x2*x4+x4^2)^2*(2*x1-2*x3)?

Basically how to keep the denominator in a fatorized form and not expanded?

 

Thanks.

Dear Sir,  I want to know why the procedure  appear the error : (in U1) unable to execute add.

My procedure:

restart:
>
> h0:=0.156;
> d:=0.32*h0;
> l:=1;
> h1:=h0-d;
> h2:=h0+d;
> h5:=evalf(2/3*h0);
> h7:=h0;
> s1:=evalf(2/3);
> s2:=evalf(2/3);
> g:=9.8;
> d1:=1;
> Term:=10;
> Num:=5:
> n:=1:
>
>
> for N from 1 to Num do
> k0:=evalf(0.5*Pi+2*(N-1)*Pi/(Num-1)):...

Can anyone tell me how i can compute the correct partial derivatis of this function? I need to compute the partial derivative with respect to Pj,k but since I am summing over 'j', it does not compute the chain rule properly. 

Hello,

After we solved two equations we want to plot them with two sliders. I am trying to have two sliders for k and mu. I followed what this link suggested:

http://www.mapleprimes.com/questions/119732-How-To-Code-Sliders-To-Make-It-Easy

But I get this warning:

Warning, `p1` is implicitly declared local to procedure `myplot`
 

In the following script, I am trying to understand why evala returns an error. It returns

                Error, (in evala/Reduce/nf/indep) invalid arguments to coeffs

in a couple of places. I tried, and I can get around the errors by doing it a complex way, but it seems like I'm just not using evala correctly. Perhaps someone can comment? I'd very much appreciate it.

Hello,

tryning to put some text on plots,

and wonder how can I separate text decoration of variables.

For example a circule with radius

r[0] 

and center in

x[0],

    Why the zeta1 does not plug in numerical calculation.
 My program:

restart:
>
> h0:=0.156;
> d:=0.32*h0;
> l:=1;
> h1:=h0-d;
> h2:=h0+d;
> h5:=evalf(2/3*h0);
> h7:=h0;
> s1:=evalf(2/3);
> s2:=evalf(2/3);
> g:=9.8;
> d1:=1;
> Term:=10;
> Num:=5:
> n:=1:
>
>
> for N from 1 to Num do
> k0:=evalf(0.5*Pi+2*(N-1)*Pi/(Num-1)):

hello, everyone,
the attached pdf file contain four models, I can't get the solutions of last three models.
help, thank you in advance.

 

123.pdf

The damped driven pendulum is modeled using :

d2(x)/d(t2) + b*d(x)/d(t) + sin(x) = F*cos(x).  (4)

Numerically simulate (4) with b=0.22 and F=2.7

a) Starting from any reasonable initial condition, perform a phase portrait analysis. Show that the time series has an erratic appearance, and interpret it in terms of the pendulum's motion.

b) Plot the Poincare section by sampling the system whenever  t=2*pi*k, where k is an integer.

 d^2(x)/d(t^2) + sin(x)=0  (1)

d^2(x)/d(t^2) + x = 0 (2)

d^2(x)/d(t^2) + ( x - (x)^3/6) = 0 (3)

1) Compare the results of numerical simulations of (1), (2), (3) to see how closely the period of the periodic orbits relate.

a) Perform a phase portrait ( (x)'(t) vs. x ) analysis for (1), (2), and (3).

b) Consider the initial conditions x(0)= x0 and x'(0)=0. For what intervals of x0 do the periodic orbits of (2...

Hi there,

can Maple simplify expression

x[1]+x[2]+x[3]+x[4]+x[5]

to

sum(x[i],i=1..5) ?

Or

cos(y[1])+cos(y[2])+cos(y[3])+cos(y[4])+cos(y[5])

to

sum(cos(y[i]),i=1..5)

Its hard to find every such sequences in big equation, so Maple can help may be.

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