Abhinav Baid wrote:
>
>
> On 02/03/2015 10:27 AM, Waldek Hebisch wrote:
> > Abhinav Baid wrote:
> >> I'd like to contribute to FriCAS and hence, would like ideas for any other
> >> code samples I could write.
> > Typically differential operators are written using ordinary derivative D.
> > But sametimes it is easier to write then in terms of different
> > derivative, in particular delta = xD (van Hoej uses this a lot).
> > Some time ago I wrote a domain implementing differantial operators
> > written in terms of delta (unfortunately in the output it is shown
> > as D, but it behaves as delta should behave). You can find this
> > domain at
> >
> > http://math.uni.wroc.pl/~hebisch/fricas/lodo3.spad
> >
> > It can be used like this:
> >
> > F := Fraction(Integer)
> > uP := UnivariatePolynomial('x, F)
> > rF := Fraction(uP)
> > L := LinearOrdinaryDifferentialOperator3(F, uP, rF)
> >
> > You can think how to convert operator from
> > LinearOrdinaryDifferentialOperator1 to LinearOrdinaryDifferentialOperator3
> > and back.
> >
> I've tried to write functions for these conversions here [1].
> Are they fine?
>
> [1] https://github.com/fandango-/spad/blob/master/task2.spad
>
Close. But compare:
apply(D()$L1, 0, x)
and
apply(D()$L3, 0, x)
We want to have the same operator, so applying result of convertion
should give the same result as original operator.
--
Waldek Hebisch
[email protected]
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