Dear All,
Rather than work with angles, maybe it would be better to use the
quadrance as defined in N. J. Wildberger's book
Divine Proportions - Rational Trigonometry to universal Geometry.
Regards,
Jalaluddin
On 6/07/10 05:44 AM, Ralf Hemmecke wrote:
On 07/05/2010 06:27 PM, Martin Rubey wrote:
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.
What should it not?
It's a bug. Either it should show me a power series with PF(2)
coefficients or (if there is none reasonable definition for it, sin(x)
should be conditional and for PF(2) not available. Either way, it's a
bug.
as a *formal* power series (and that's in my opinion
what FriCAS deals with) sin makes sense also over PF 2
What's the exact mathematical definition of sin(x) as an element of
F[[x]] where F=GaloisField(2)?
Ralf
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