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[Axiom-developer] [#47 complexForm(log(%i) - log(-%i))] atan(tan(3))
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wyscc |
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[Axiom-developer] [#47 complexForm(log(%i) - log(-%i))] atan(tan(3)) |
Date: |
Sun, 17 Jul 2005 14:15:53 -0500 |
Changes
http://page.axiom-developer.org/zope/mathaction/47ComplexFormLogILogI/diff
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Thanks for this pointer. I would prefer to classify 'tan(3)' as belonging to
the hypothetical 'SymbolicFloat' rather than to 'EXPR INT' and the same for
'atan(tan(3))'. The definition of the single argument 'atan' chooses by
convention a unique answer in $(-\pi/2, \pi/2)$ where 'tan' is monotone. Axiom
is constrained by its type system to provide an answer within 'EXPR INT' and
view 'atan' as a more generalized inverse (that is, no longer a *function*) and
multiple answers are possible. The (applied) scientific community probably
prefers invoking the 'Float' or 'DoubleFloat' version of 'atan' and 'tan', and
they can, by simply changing '3' to '3.0'.
--
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