Ralf Hemmecke <[email protected]> writes:

> Any idea what happens here?
>
> Don't ask whether that is useful. I just realized that 'sin' is
> implemented in UnivariateTaylorSeries if the coefficient domain
> satisfies Algebra(Fraction Integer).
>
> Looks somehow like a bug to me. I have the suspicion that the code to
> compute the sine series relies on differentiation and therefore on
> CharacteristicZero.

No, it should not.  as a *formal* power series (and that's in my opinion
what FriCAS deals with) sin makes sense also over PF 2

Martin


>
> Ralf
>
>
>                  FriCAS (AXIOM fork) Computer Algebra System
>                             Version: FriCAS 1.0.9
>                Timestamp: Monday February 1, 2010 at 22:13:35
> -----------------------------------------------------------------------------
>    Issue )copyright to view copyright notices.
>    Issue )summary for a summary of useful system commands.
>    Issue )quit to leave FriCAS and return to shell.
> -----------------------------------------------------------------------------
>
> (1) ->
> (1) -> P := PrimeField 2
>
>    (1)  PrimeField(2)
>
> Type: Type
> (2) -> P has Algebra Fraction Integer
>
>    (2)  true
>                                                                 Type:
> Boolean
> (3) -> T := UnivariateTaylorSeries(P, t, 0)
>
>    (3)  UnivariateTaylorSeries(PrimeField(2),t,0)
>
> Type: Type
> (4) -> t: T := monomial(1,1)
>
>    (4)  t
>                               Type:
> UnivariateTaylorSeries(PrimeField(2),t,0)
>
> (5) -> sin(t)
>
>
>    >> Error detected within library code:
>    not invertible

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