Re: LaPlace Transforms in TI89 and HP48 compared by Perez-Franco


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Re: LaPlace Transforms in TI89 and HP48 compared by Perez-Franco



Perez-Franco wrote:
>
> [ LaPlace Transforms in TI89 and HP48 compared by Perez-Franco ]
>
> I've developed a way to solve LaPlace transforms in my new TI-89 (presented
> below) and I wanted to compare its speed and performance with other proposals
> for LaPlace I've seen.
>
> In HP48GX, we solved LaPlace transforms using the great program by Bernard
> Parisse: Erable (ver 3.1). We used z LAP EXPA.
>
> In TI-89 we used three ways:
>
> 1) First LaPlace proposal by Pirez-Franco
> -'(e^(-s*t)*z,t)|t=0
> using 20 bytes.
>
> 2) Second LaPlace proposal by Pirez-Franco
> -limit('(e^(-s*t)*z,t),t,0)
> using 27 bytes.
>
> 3) LaPlace proposal by elrond
> '(z*e^(-s*t),t,0,infin)|s>0
> using 23 bytes.

It seems to me that you are comparing apples and oranges (for speed)
since on the TI the laplace's transforms are being calculated from
its definition via integrals which are a lot more processor and
memory intense than by using the standard laplace transforms tables.

Get a custom made laplace transform program for the TI or also
use the integral definition on the HP to fairly compare Laplace's
Transforms speeds.


Carlos.


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