Re: Laplace Transformations


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Re: Laplace Transformations



In article <52c92t$f33@uwm.edu>, sawicki@alpha2.csd.uwm.edu (Eric Daniel
Sawicki) wrote:


:Is it possible to make a program that will Do Laplace Transformations?


Piece of cake for some functions, atleast. Case in point: (S is an
integral sign)


S(sin(x)e^(-s*x),x,0,oo)|s>0


gives  1 / (s^2 + 1)


You might have to fiddle with the s constraint, however. For example


S(e^x e^(-s*x),x,0,oo)|s>0 is given as undefined while
S(e^x e^x(-s*x),x,0,oo)|s>1 gives the correct answer of 1 / s - 1


The other option is doing the definate integral and just doing the
substitutions yourself. That's porbably fairly easy.


However, you're limited by the integration that the 92 implements. If you
feel so motivated, I'm sure you could implement your own engine.


(Fun exercise: see if you can get Fourier Transforms to work. Too bad the
92 can't handle delta functions)
:
:I am also wondering if "Fargo" will allow for more complex mathmatical
:programs for the 92 or will it be game oriented?


As I understand it, Fargo is just a method of directly running 68k
assembly code. Thus, you can do whatever you want. I'm curious if I'll be
able to write a program in Codewarrior, say, and fairly easily port the
assembly output to the 92. Probably not.


Aaron
<pre>
--
Aaron Bergman -- abergman@minerva.cis.yale.edu
<http://pantheon.yale.edu/~abergman/>
Smoke a cigarette. Slit your throat. Same concept.
</pre>


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