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Levente Uzonyi wrote:<br>
<blockquote
cite="mid:Pine.LNX.4.64.1104212358490.13680@login03.caesar.elte.hu"
type="cite">Since arccosh is an abbreviation of arcus cosinus
hyperbolicus, the camelcase version should be arcCosH.
<br>
<br>
<br>
Levente
<br>
</blockquote>
+2 asinh - most "not incorrect" for all options<br>
+1 arsinh - most correct mathematically<br>
-1 any camelcase <br>
<br>
A newcomer looking in... (*1) camelCase is for the concatenation of
individual words. However the short form of these mathematical
functions have gained
an identity of their own in common usage. From Smalltalk's
perspective, arccosh is an individual word that does not need
camelcase. Camelcase would seem appropriate only if it was to be
called by its full name arcusCosinusHyperbolicus.<br>
<br>
The prinicipal of least surprise for newcomers would be to not use
camelcase in this instance. Old timers would know already better know
where to look, or ask.<br>
<br>
That aside, the discussion at wikipedia[1] is enlightning...
(assumedly by people who care about such things)
<dl>
<dd>"ARC prefix is definitely wrong! It applies to trigonometric
functions only. Trigonometric functions are (or: can be) defined in
terms of the unit circle's ARC length as a parameter, so inverse
trigonometric functions give the arc length as their value (output);
that's why they are ARC–functions, and their names have the ARC prefix.</dd>
<dt><br>
</dt>
<dd>On the other hand, hyperbolic functions are (or: can be) defined
in terms of some hyperbolic figure AREA as a parameter (see <a
href="http://en.wikipedia.org/wiki/File:Hyperbolic_functions.svg"
title="File:Hyperbolic functions.svg">Image:Hyperbolic functions.svg</a>),
so inverse hyperbolic functions give an AREA as their value (output);
that's why they are AREA–functions, and their names have AR prefix,
distinct from trigonometric ARC-functions. ---<a
href="http://en.wikipedia.org/wiki/User:CiaPan" title="User:CiaPan">CiaPan</a>
12:36, 22 October 2007 (UTC)
</dd>
</dl>
asinh is an understandable short form of all alternatives: argsinh,
arcsinh, arsinh<br>
<br>
google results (top contenders are a near thing.)<br>
arcsinh 110,000<br>
asinh 106,000<br>
arsinh 28,000<br>
argsinh 2,570<br>
<br>
hope that helps<br>
<br>
[1]
<a class="moz-txt-link-freetext" href="http://en.wikipedia.org/wiki/Talk:Hyperbolic_function#Names_of_inverses">http://en.wikipedia.org/wiki/Talk:Hyperbolic_function#Names_of_inverses</a><br>
<br>
(*1) If, as I hope to get move involved (time permitting) rather than
just lurking, it will be interesting to track how long I feel the need
for such disclaimers. *grin*<br>
<br>
<br>
<br>
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