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This post concerns the simulation of a physical system whose behavior is governed by ODEs.
It is likely that some people will think that all which follows is nothing but embellishments  or a waste of time.
And in some sense they will be right.
I was thinking the same until I received some sharp remarks at the occasion of a few presentations of my works. 
So experience has proven me that doing a presentation in front of project managers with only 2D curves often leads to smiles, not to speak about those who raise their eyes to heaven in front of the poverty of the slides. 
Tired of this attitude, I decided to replace these 2D curves with a short film, which of course does not reveal more than what these 2D curves were already revealing, but which is pretty enough for the financing keeps going on.

For those of you who might regret this situation, just consider this work as a demonstration of the capabilities of Maple in 3D rendering.

PS: all the display outputs have been removed to avoid loading an unnecessary huge file.
      The two last commands must be uncommented to play the animation.


Download ODE_Movie.mw


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Caution, certain kinds of earlier input can affect the results from using the 2D Input syntax for operator assignment.


`Maple 2020.1, X86 64 LINUX, Jun 8 2020, Build ID 1474533`


f := proc (x) options operator, arrow; sqrt(x) end proc

The following now produces a remember-table assignment,
instead of assigning a procedure to name f, even though by default
is set to true.





f(1.4), 1.4^2*sin(1.4)

1.183215957, 1.931481471



With the previous line of code commented-out the following
line assigns a procedure to name f, as expected.

If you uncomment the previous line, and re-execute the whole
worksheet using !!! from the menubar, then the following will
do a remember-table assignment instead.


proc (x) options operator, arrow, function_assign; x^2*sin(x) end proc



f(1.4), 1.4^2*sin(1.4)

1.931481471, 1.931481471


Download operator_assignment_2dmath.mw

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