Re: ArcTanh[x,y] & Wikipedia.

"Richard J. Fateman" <fateman@xxxxxxxxxxxxxxxxx> wrote:
> Macsyma / Maxima uses asin and asinh (etc.)
>
> I would not expect the openmath standard to be held up
> as an example to be followed; rather the openmath people
> seem to try to follow someone else's standard. e.g. what
> does "cos" mean? Well, what it usually means.
>
> I also would not want Mathematica to become a standard
> setter because it sometimes differs from the previous
> convention for no reason I can see. For example,
> I think reversing the arguments of arctan2 from convention.
> [not the arctanh2 of the subject line]
>
> RJF

FWIW, since this concerns Wikipedia:
At the end of last Dec., in the Talk section, I wrote
"Arc{hyperbolic function} is a misnomer". See
<http://en.wikipedia.org/wiki/Talk:Hyperbolic_function>
if interested.

David Cantrell


> David N. Williams wrote:
>
> > Simo K Kivelä wrote:
> >
> >> "Roger Beresford" <mail@xxxxxxxxxxxxxxxxxxxxxxxxxxx> writes:
> >>
> >>
> >>> When I added the definition ArcTanh[x,y]:=Log[(x+y)/SQRT[x^2-y^2]]
> >>> (due
> >>
> >>
> >>
> >> By the way, the names of the inverse hyperbolic functions should be
> >> arsinh, arcosh, artanh etc. and not arc*. The latin names of the
> >> functions
> >> are 'area sinus hyperbolicus' etc. where 'area' refers to the area of
> >> a sector bounded by the unit hyperbola. In the trigonometric case,
> >> 'arc' is correct because the value of the function represents the
> >> length of an arc.
> >> (It could also be considered as area of a sector and therefore, 'ar'
> >> would
> >> in principle be correct also here, but it has never been used.) In the
> >> hyperbolic case, there is no arc, and the use of 'arc' should be
> >> considered
> >> as a mistake.
> >
> >
> > A mistake in that sense, but "arc" has very wide usage. And
> > it's standardized in the open math standard, e.g.,
> >
> > http://www.openmath.org/cocoon/openmath/cd/transc3.html#arctanh
> >
> > I believe their case for standardizing such things, including
> > the definitions of principal branches, is compelling.
> >
> > -- David
> >
.

Relevant Pages

  • Re: ArcTanh[x,y] & Wikipedia.
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    ... you can't trick me with your bogus stats. ... standard 3-p line: ... Notice the word "uniform". ... corners are just as long as the arc. ...
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  • Re: Field goal % is NOT important? kobe says...
    ... you can't trick me with your bogus stats. ... standard 3-p line: ... Notice the word "uniform". ... corners are just as long as the arc. ...
    (alt.sports.basketball.nba.la-lakers)
  • Re: ArcTanh[x,y] & Wikipedia.
    ... arsinh, arcosh, artanh etc. and not arc*. ... are 'area sinus hyperbolicus' etc. where 'area' refers to the area of a ... it's standardized in the open math standard, e.g., ... the definitions of principal branches, ...
    (sci.math.symbolic)