moved src/flatten.lisp to share/algebra/charsets/ an d related changes
Subject: moved src/flatten.lisp to share/algebra/charsets/ an d related changes
From: Rogers, Raymond
Date: Wed, 23 Feb 2005 15:35:36 -0500
> [Barton Willis , Wed, 23 Feb 2005 13:49:56 -0600]:
> > We should have a project to support various discontinuous
> > functions--unit step and the like. They should be simplifying
> > functions (as is kron_delta). Writing a simplifying unit_step
> > function isn't all that difficult. But you'll discover bugs and
> > other weirdnesses in sign and getting integrate to do anything
> > with unit_step seems difficult to me.
>
Keep in mind that discontinous polynomial/derivative functions including
step and impulse can all be represented by derivative (+-) operations
derived from the dirac delta function. Thus a mixture of quintic sections
and step functions can be recast as the solution relative to delta^5 and
such; and then evaluated as derivative evaluations together with constants
and various order terms. In a fairly large number of cases this makes some
intergal evaluations easier.
It probably would be easier to see an example than to explain it. Does
anybody have an example it might be applied to?
Ray Rogers