#12588: abs(pi*I) should return pi
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Reporter: dkrenn | Owner: burcin
Type: defect | Status: needs_review
Priority: major | Milestone: sage-6.8
Component: symbolics | Resolution:
Keywords: absolute value, | Merged in:
symbolic | Reviewers: Karl-Dieter Crisman
Authors: Ralf Stephan | Work issues:
Report Upstream: Fixed upstream, | Commit:
in a later stable release. | 33e868c92e7cb2627739d717b79ad21854033beb
Branch: | Stopgaps:
u/rws/abs_pi_i__should_return_pi |
Dependencies: #18537 |
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Comment (by dkrenn):
Replying to [comment:18 rws]:
> Replying to [comment:17 kcrisman]:
> > {{{
> > sage: abs(i*x)
> > abs(I*x)
> > }}}
> That's because the product's factors are separated into real constants
and the rest. If the rest is constant, take `abs` of it, else
`abs().hold()`. Then multiply together. Here `I*x` has symbols so it is
held.
> [...] However I'd suggest not to hold up this ticket for this.
Anyhow, since {{{abs(I)}}} already in current Sage gives {{{1}}}, the
expression {{{abs(I*x)}}} should be simplified to {{{abs(x)}}}.
--
Ticket URL: <http://trac.sagemath.org/ticket/12588#comment:19>
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