## 499 Reputation

11 years, 126 days

## Exploration Assistant...

Maple 15

Hi,

I want to explore for example:

Explore(plot(Sum(i^2*sin(i*x), i = 1 .. n), x = 0 .. 10));

I know that animate can be applied as:

animate(plot, [Sum(i^2*sin(i*x), i = 1 .. n), x = 0 .. 10], n = 1 .. 10);

Is it possible to get the Exploration Assistant in the same worksheet after the command Explore and not in another worksheet ?

Explore can be done for many parameters which is not the case for animate.

Thanks for any suggestion

## Manipulating equations...

Maple 15

Hi all,

For example, I have this equation:

restart: eq:=diff(theta(t),t)*y(theta(t))+x(t)=sin(x(t));

and

wm:=diff(theta(t),t);

I want to replace in eq, wm:=diff(theta(t),t). I used commands eval, subs as:

subs(diff(theta(t),t)=wm,eq);

eval(eq,diff(theta(t),t)=wm);

but with no result

Thanks for any suggestion

Kamel

## with(OrthogonalExpansions)...

Maple 15

Hi,

with(OrthogonalExpansions) not working in Maple 15 (work in Maple 14). What is the equivalent package for FourierSeries calculations?

Kamel Boughrara

## saving a plot and re-plot it with pointp...

Maple 14

Hi all,

I want to save a plot into Array or other and re-plot it by pointplot.

restart:with(plots):

f:=x->cos(x)+cos(x)^2;

plot(f(x),x=0..2*Pi);

With Array, I want to determine dx (step) of the plot (Array) and the dimension of Array (number of line and column).

If Pk:=plot(f(x),x=0..2*Pi); is Array, I can reproduce the plot as:

ef := {seq([Pk[i,1], Pk[i,2]], i = 1 .. N)}: # Pk[i,1] is x and Pk[i,2] is f(x), N number of line of Array

## Fourier serie and Discrete Fourier Trans...

Maple 14

Hi,

I have the function:

restart: with(plots): with(OrthogonalExpansions): with(DiscreteTransforms):

f:=t->piecewise(t<0,0,t<1,t,t<2,2-t,0);

The Fourier coefficients a[0], a[i] and b[i] can be calculated by:

T:=2: Trig:=FourierSeries(f(t),t=0..T,n,'Coefficients');

a[0]:= op(1, Coefficients);a[i]:= op(1, op(2, Coefficients))[1];b[i]:= op(1, op(2, Coefficients))[2];

I want to calculate those coefficients a[0...

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