[squeak-dev] inverse hyperbolic function

Frank Shearar frank.shearar at angband.za.org
Fri Apr 22 09:10:14 UTC 2011


On 2011/04/22 00:19, Ken G. Brown wrote:
> At 12:58 AM +0200 4/22/11, Nicolas Cellier apparently wrote:
>> 2011/4/22 Ken G. Brown<kbrown at mac.com>:
>> <snip>
>>>>>>
>>>>>> "H" is much better than "h".
>>>>>>
>>>>>> - Bert -
>>>>>>
>>>>>
>>>>> -1
>>>>> Not according to Wolfram. They suggest lower case 'h'.
>>>>>
>>>>> Ken,
>>>>> from my iPhone
>>>>
>>>> So what? Wolfram's use of "arc" for the hyperbolic inverse is wrong too, as Nicolas pointed out.
>>>>
>>>> - Bert -
>>>>
>>>
>>> So let's pretend Wolfram knows something about mathematical notation.
>>>
>>> Ken
>>>
>>>
>>
>> Thinking of Wolfram as a God is Religion and there is nothing to
>> debate in this case.
>> But thinking of Wolfram as a human creation helps exercizing rational
>> skeptical inquiry.
>>
>> Until someone exhibits a good rationale for employing arcus, it will be area.
>>
>> Nicolas
>
> No one is saying Wolfram is a God, I am just saying that he is an authority on mathematical programming.
> Mathematica is very successful, and based on sound mathematical principles.
> If you do not want to accept Wolfram as an authority, that's up to you I suppose.

Well. It's actually Eric Weisstein; Wolfram the _company_ merely hosts 
the site and employs Weisstein. Furthermore, mathworld doesn't invent 
this stuff; it makes enormous numbers of references to mathematical 
literature, and points out when notations are confused (as they often 
are, in mathematics).

We should use the most commonly used terminology, and mimic in our code 
what actual mathematicians use, because otherwise we are, for no good 
reason, making life difficult for the users of our code.

Making up names is just annoying. This whole thread's turned into a 
bikeshed.

Nicolas, you know better than anyone else here what the names should be, 
given your training.

frank

> I also see Maple uses arcsinh etc.
>
> Mathematica and Maple are two of the main mathematical programs out there.
> I see no real useful purpose in going against their standards.
> And I think you will be hard pressed to find 'H' in the notation for inverse hyperbolic functions in math textbooks.
>
> Ken
>
>
>




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