Le ven. 16 mai 2025, 14:28, Waldek Hebisch <de...@fricas.org> a écrit :

> On Fri, May 16, 2025 at 01:40:55PM +0200, Grégory Vanuxem wrote:
> > Hello Waldek, *
> >
> > Le jeu. 15 mai 2025 à 22:53, Waldek Hebisch <de...@fricas.org> a écrit :
> >
> > > On Thu, May 15, 2025 at 07:40:39PM +0200, Grégory Vanuxem wrote:
> >
> > >
> > >
> > > If you wander why FriCAS leaves asin(sin(x)) unsimplified, this
> > > is due to branches, sin(x) = sin(x + 2*%pi), applaying asin
> > > to both sides and using unsound transformation of asin(sin(x))
> > > to x would give false equality x = x + 2*%pi.  Similarly,
> > > pulling %i before square roots leads to nonsense like the last
> > > result in the following mail.
> > >
> >
> > The second mail use behind the scene Mathematica (jWSExpression)
> >
> > I can agree that, in general, branches can interfere but in this case,
> > applying the operations used here on -3/2 should return from my point of
> > view -3/2. That's just surprising for me. Other CAS returns in fact -3/2
> > and that's correct.
>
> Yes, in this case it is what you want.  Transformation 'asin(sin(x))'
> to 'x' was in NAG Axiom, it was blocked later because it may lead to
> wrong results.
>

I guessed that. BTW thanks for your response.

Greg

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