inverse hyperbolic function
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Just a question of language: how to name them in English ?
Using asinh acosh atanh like any other programming language do would be that simple... But Smalltalk did not follow that path and didn't implement asin acos atan... In French, inverse hyperbolic functions are named like this argument sinus hyperbolique (argsh ou argsinh) http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique So I decided to use argSinh argCosh argTanh quite naturally (like we have arcSin arcCos arcTan). However I'm not sure English has same conventions. Can someone enlighten me? Nicolas |
Re: inverse hyperbolic function
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Oops, area hyperbolic function, case of blindness !
So what is a good name for these function ? 2011/4/21 Nicolas Cellier <[hidden email]>: > Just a question of language: how to name them in English ? > Using asinh acosh atanh like any other programming language do would > be that simple... > But Smalltalk did not follow that path and didn't implement asin acos atan... > > In French, inverse hyperbolic functions are named like this > argument sinus hyperbolique (argsh ou argsinh) > http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique > > So I decided to use argSinh argCosh argTanh quite naturally (like we > have arcSin arcCos arcTan). > > However I'm not sure English has same conventions. Can someone enlighten me? > > Nicolas > |
Re: inverse hyperbolic function
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In reply to this post by Nicolas Cellier
On 21.04.2011, at 21:24, Nicolas Cellier wrote: > Just a question of language: how to name them in English ? > Using asinh acosh atanh like any other programming language do would > be that simple... > But Smalltalk did not follow that path and didn't implement asin acos atan... > > In French, inverse hyperbolic functions are named like this > argument sinus hyperbolique (argsh ou argsinh) > http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique > > So I decided to use argSinh argCosh argTanh quite naturally (like we > have arcSin arcCos arcTan). > > However I'm not sure English has same conventions. Can someone enlighten me? > > Nicolas How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. This would fit the existing theme better, since we use arcSin where others use asin, etc. Just appending an "h" looks odd. - Bert - |
Re: inverse hyperbolic function
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On 2011/04/21 21:18, Bert Freudenberg wrote:
> > On 21.04.2011, at 21:24, Nicolas Cellier wrote: > >> Just a question of language: how to name them in English ? >> Using asinh acosh atanh like any other programming language do would >> be that simple... >> But Smalltalk did not follow that path and didn't implement asin acos atan... >> >> In French, inverse hyperbolic functions are named like this >> argument sinus hyperbolique (argsh ou argsinh) >> http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique >> >> So I decided to use argSinh argCosh argTanh quite naturally (like we >> have arcSin arcCos arcTan). >> >> However I'm not sure English has same conventions. Can someone enlighten me? >> >> Nicolas > > How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. > > This would fit the existing theme better, since we use arcSin where others use asin, etc. Just appending an "h" looks odd. Heh, I think appending an "h" looks exactly right :) http://mathworld.wolfram.com/InverseHyperbolicCosine.html for instance uses "arccosh". frank |
Re: inverse hyperbolic function
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On Thu, 21 Apr 2011, Frank Shearar wrote:
> On 2011/04/21 21:18, Bert Freudenberg wrote: >> >> On 21.04.2011, at 21:24, Nicolas Cellier wrote: >> >>> Just a question of language: how to name them in English ? >>> Using asinh acosh atanh like any other programming language do would >>> be that simple... >>> But Smalltalk did not follow that path and didn't implement asin acos >>> atan... >>> >>> In French, inverse hyperbolic functions are named like this >>> argument sinus hyperbolique (argsh ou argsinh) >>> http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique >>> >>> So I decided to use argSinh argCosh argTanh quite naturally (like we >>> have arcSin arcCos arcTan). >>> >>> However I'm not sure English has same conventions. Can someone enlighten >>> me? >>> >>> Nicolas >> >> How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. >> >> This would fit the existing theme better, since we use arcSin where others >> use asin, etc. Just appending an "h" looks odd. > > Heh, I think appending an "h" looks exactly right :) > > http://mathworld.wolfram.com/InverseHyperbolicCosine.html for instance uses > "arccosh". +1 :) Actually searching my image with the message names browser for 'arcSinH', I found the following: arcSinH testArcSinH testArcSinHStd Levente > > frank > > |
Re: inverse hyperbolic function
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In reply to this post by Frank Shearar
2011/4/21 Frank Shearar <[hidden email]>:
> On 2011/04/21 21:18, Bert Freudenberg wrote: >> >> On 21.04.2011, at 21:24, Nicolas Cellier wrote: >> >>> Just a question of language: how to name them in English ? >>> Using asinh acosh atanh like any other programming language do would >>> be that simple... >>> But Smalltalk did not follow that path and didn't implement asin acos >>> atan... >>> >>> In French, inverse hyperbolic functions are named like this >>> argument sinus hyperbolique (argsh ou argsinh) >>> >>> http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique >>> >>> So I decided to use argSinh argCosh argTanh quite naturally (like we >>> have arcSin arcCos arcTan). >>> >>> However I'm not sure English has same conventions. Can someone enlighten >>> me? >>> >>> Nicolas >> >> How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. >> >> This would fit the existing theme better, since we use arcSin where others >> use asin, etc. Just appending an "h" looks odd. > > Heh, I think appending an "h" looks exactly right :) > > http://mathworld.wolfram.com/InverseHyperbolicCosine.html for instance uses > "arccosh". > > frank > Yes I saw that, thanks, it's just that it sounds incorrect to French ears... It should also sound incorrect to English ones because the inverse function does not measure an arc of hyperbole, but rather the area of a sector of hyperbole. |
Re: inverse hyperbolic function
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In reply to this post by Levente Uzonyi-2
On 21.04.2011, at 23:01, Levente Uzonyi wrote: > On Thu, 21 Apr 2011, Frank Shearar wrote: > >> On 2011/04/21 21:18, Bert Freudenberg wrote: >>> On 21.04.2011, at 21:24, Nicolas Cellier wrote: >>>> Just a question of language: how to name them in English ? >>>> Using asinh acosh atanh like any other programming language do would >>>> be that simple... >>>> But Smalltalk did not follow that path and didn't implement asin acos atan... >>>> In French, inverse hyperbolic functions are named like this >>>> argument sinus hyperbolique (argsh ou argsinh) >>>> http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique >>>> So I decided to use argSinh argCosh argTanh quite naturally (like we >>>> have arcSin arcCos arcTan). >>>> However I'm not sure English has same conventions. Can someone enlighten me? >>>> Nicolas >>> How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. >>> This would fit the existing theme better, since we use arcSin where others use asin, etc. Just appending an "h" looks odd. >> >> Heh, I think appending an "h" looks exactly right :) >> >> http://mathworld.wolfram.com/InverseHyperbolicCosine.html for instance uses "arccosh". > > +1 :) > > Actually searching my image with the message names browser for 'arcSinH', I found the following: > arcSinH > testArcSinH > testArcSinHStd "H" is much better than "h". - Bert - |
Re: inverse hyperbolic function
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2011/4/21 Bert Freudenberg <[hidden email]>:
> > On 21.04.2011, at 23:01, Levente Uzonyi wrote: > >> On Thu, 21 Apr 2011, Frank Shearar wrote: >> >>> On 2011/04/21 21:18, Bert Freudenberg wrote: >>>> On 21.04.2011, at 21:24, Nicolas Cellier wrote: >>>>> Just a question of language: how to name them in English ? >>>>> Using asinh acosh atanh like any other programming language do would >>>>> be that simple... >>>>> But Smalltalk did not follow that path and didn't implement asin acos atan... >>>>> In French, inverse hyperbolic functions are named like this >>>>> argument sinus hyperbolique (argsh ou argsinh) >>>>> http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique >>>>> So I decided to use argSinh argCosh argTanh quite naturally (like we >>>>> have arcSin arcCos arcTan). >>>>> However I'm not sure English has same conventions. Can someone enlighten me? >>>>> Nicolas >>>> How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. >>>> This would fit the existing theme better, since we use arcSin where others use asin, etc. Just appending an "h" looks odd. >>> >>> Heh, I think appending an "h" looks exactly right :) >>> >>> http://mathworld.wolfram.com/InverseHyperbolicCosine.html for instance uses "arccosh". >> >> +1 :) >> >> Actually searching my image with the message names browser for 'arcSinH', I found the following: >> arcSinH >> testArcSinH >> testArcSinHStd > > "H" is much better than "h". > > - Bert - > Then we should use areaSinH not arcSinH... Note that there is a sinh/cosh in Complex, and that pair should then be renamed sinH cosH. But it sounds like we want to be unique in computer science. Nicolas |
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In reply to this post by Frank Shearar
+1
Wolfram is a good authority to follow. Ken, from my iPhone On 2011-04-21, at 14:41, Frank Shearar <[hidden email]> wrote: > On 2011/04/21 21:18, Bert Freudenberg wrote: >> >> On 21.04.2011, at 21:24, Nicolas Cellier wrote: >> >>> Just a question of language: how to name them in English ? >>> Using asinh acosh atanh like any other programming language do would >>> be that simple... >>> But Smalltalk did not follow that path and didn't implement asin acos atan... >>> >>> In French, inverse hyperbolic functions are named like this >>> argument sinus hyperbolique (argsh ou argsinh) >>> http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique >>> >>> So I decided to use argSinh argCosh argTanh quite naturally (like we >>> have arcSin arcCos arcTan). >>> >>> However I'm not sure English has same conventions. Can someone enlighten me? >>> >>> Nicolas >> >> How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. >> >> This would fit the existing theme better, since we use arcSin where others use asin, etc. Just appending an "h" looks odd. > > Heh, I think appending an "h" looks exactly right :) > > http://mathworld.wolfram.com/InverseHyperbolicCosine.html for instance uses "arccosh". > > frank > |
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In reply to this post by Bert Freudenberg
On 2011-04-21, at 15:16, Bert Freudenberg <[hidden email]> wrote:
> > On 21.04.2011, at 23:01, Levente Uzonyi wrote: > >> On Thu, 21 Apr 2011, Frank Shearar wrote: >> >>> On 2011/04/21 21:18, Bert Freudenberg wrote: >>>> On 21.04.2011, at 21:24, Nicolas Cellier wrote: >>>>> Just a question of language: how to name them in English ? >>>>> Using asinh acosh atanh like any other programming language do would >>>>> be that simple... >>>>> But Smalltalk did not follow that path and didn't implement asin acos atan... >>>>> In French, inverse hyperbolic functions are named like this >>>>> argument sinus hyperbolique (argsh ou argsinh) >>>>> http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique >>>>> So I decided to use argSinh argCosh argTanh quite naturally (like we >>>>> have arcSin arcCos arcTan). >>>>> However I'm not sure English has same conventions. Can someone enlighten me? >>>>> Nicolas >>>> How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. >>>> This would fit the existing theme better, since we use arcSin where others use asin, etc. Just appending an "h" looks odd. >>> >>> Heh, I think appending an "h" looks exactly right :) >>> >>> http://mathworld.wolfram.com/InverseHyperbolicCosine.html for instance uses "arccosh". >> >> +1 :) >> >> Actually searching my image with the message names browser for 'arcSinH', I found the following: >> arcSinH >> testArcSinH >> testArcSinHStd > > "H" is much better than "h". > > - Bert - > -1 Not according to Wolfram. They suggest lower case 'h'. Ken, from my iPhone |
Re: inverse hyperbolic function
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In reply to this post by Nicolas Cellier
On 21.04.2011, at 23:36, Nicolas Cellier wrote: > 2011/4/21 Bert Freudenberg <[hidden email]>: >> >> On 21.04.2011, at 23:01, Levente Uzonyi wrote: >> >>> On Thu, 21 Apr 2011, Frank Shearar wrote: >>> >>>> On 2011/04/21 21:18, Bert Freudenberg wrote: >>>>> On 21.04.2011, at 21:24, Nicolas Cellier wrote: >>>>>> Just a question of language: how to name them in English ? >>>>>> Using asinh acosh atanh like any other programming language do would >>>>>> be that simple... >>>>>> But Smalltalk did not follow that path and didn't implement asin acos atan... >>>>>> In French, inverse hyperbolic functions are named like this >>>>>> argument sinus hyperbolique (argsh ou argsinh) >>>>>> http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique >>>>>> So I decided to use argSinh argCosh argTanh quite naturally (like we >>>>>> have arcSin arcCos arcTan). >>>>>> However I'm not sure English has same conventions. Can someone enlighten me? >>>>>> Nicolas >>>>> How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. >>>>> This would fit the existing theme better, since we use arcSin where others use asin, etc. Just appending an "h" looks odd. >>>> >>>> Heh, I think appending an "h" looks exactly right :) >>>> >>>> http://mathworld.wolfram.com/InverseHyperbolicCosine.html for instance uses "arccosh". >>> >>> +1 :) >>> >>> Actually searching my image with the message names browser for 'arcSinH', I found the following: >>> arcSinH >>> testArcSinH >>> testArcSinHStd >> >> "H" is much better than "h". >> >> - Bert - >> > > Then we should use areaSinH not arcSinH... Or abbreviate it as arSinH, just like "arc" is short for "arcus"? But either looks fine to me. > Note that there is a sinh/cosh in Complex, and that pair should then > be renamed sinH cosH. Right. > But it sounds like we want to be unique in computer science. Duh ;) - Bert - |
Re: inverse hyperbolic function
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In reply to this post by Ken G. Brown
On 21.04.2011, at 23:52, Ken G. Brown wrote: > On 2011-04-21, at 15:16, Bert Freudenberg <[hidden email]> wrote: > >> >> On 21.04.2011, at 23:01, Levente Uzonyi wrote: >> >>> On Thu, 21 Apr 2011, Frank Shearar wrote: >>> >>>> On 2011/04/21 21:18, Bert Freudenberg wrote: >>>>> On 21.04.2011, at 21:24, Nicolas Cellier wrote: >>>>>> Just a question of language: how to name them in English ? >>>>>> Using asinh acosh atanh like any other programming language do would >>>>>> be that simple... >>>>>> But Smalltalk did not follow that path and didn't implement asin acos atan... >>>>>> In French, inverse hyperbolic functions are named like this >>>>>> argument sinus hyperbolique (argsh ou argsinh) >>>>>> http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique >>>>>> So I decided to use argSinh argCosh argTanh quite naturally (like we >>>>>> have arcSin arcCos arcTan). >>>>>> However I'm not sure English has same conventions. Can someone enlighten me? >>>>>> Nicolas >>>>> How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. >>>>> This would fit the existing theme better, since we use arcSin where others use asin, etc. Just appending an "h" looks odd. >>>> >>>> Heh, I think appending an "h" looks exactly right :) >>>> >>>> http://mathworld.wolfram.com/InverseHyperbolicCosine.html for instance uses "arccosh". >>> >>> +1 :) >>> >>> Actually searching my image with the message names browser for 'arcSinH', I found the following: >>> arcSinH >>> testArcSinH >>> testArcSinHStd >> >> "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 - |
Re: inverse hyperbolic function
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In reply to this post by Ken G. Brown
On Thu, 21 Apr 2011, Ken G. Brown wrote:
> On 2011-04-21, at 15:16, Bert Freudenberg <[hidden email]> wrote: > >> >> On 21.04.2011, at 23:01, Levente Uzonyi wrote: >> >>> On Thu, 21 Apr 2011, Frank Shearar wrote: >>> >>>> On 2011/04/21 21:18, Bert Freudenberg wrote: >>>>> On 21.04.2011, at 21:24, Nicolas Cellier wrote: >>>>>> Just a question of language: how to name them in English ? >>>>>> Using asinh acosh atanh like any other programming language do would >>>>>> be that simple... >>>>>> But Smalltalk did not follow that path and didn't implement asin acos atan... >>>>>> In French, inverse hyperbolic functions are named like this >>>>>> argument sinus hyperbolique (argsh ou argsinh) >>>>>> http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique >>>>>> So I decided to use argSinh argCosh argTanh quite naturally (like we >>>>>> have arcSin arcCos arcTan). >>>>>> However I'm not sure English has same conventions. Can someone enlighten me? >>>>>> Nicolas >>>>> How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. >>>>> This would fit the existing theme better, since we use arcSin where others use asin, etc. Just appending an "h" looks odd. >>>> >>>> Heh, I think appending an "h" looks exactly right :) >>>> >>>> http://mathworld.wolfram.com/InverseHyperbolicCosine.html for instance uses "arccosh". >>> >>> +1 :) >>> >>> Actually searching my image with the message names browser for 'arcSinH', I found the following: >>> arcSinH >>> testArcSinH >>> testArcSinHStd >> >> "H" is much better than "h". >> >> - Bert - >> > > -1 > Not according to Wolfram. They suggest lower case 'h'. Since arccosh is an abbreviation of arcus cosinus hyperbolicus, the camelcase version should be arcCosH. Levente > > Ken, > from my iPhone > > |
Re: inverse hyperbolic function
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In reply to this post by Bert Freudenberg
2011/4/21 Bert Freudenberg <[hidden email]>:
> > On 21.04.2011, at 23:36, Nicolas Cellier wrote: > >> 2011/4/21 Bert Freudenberg <[hidden email]>: >>> >>> On 21.04.2011, at 23:01, Levente Uzonyi wrote: >>> >>>> On Thu, 21 Apr 2011, Frank Shearar wrote: >>>> >>>>> On 2011/04/21 21:18, Bert Freudenberg wrote: >>>>>> On 21.04.2011, at 21:24, Nicolas Cellier wrote: >>>>>>> Just a question of language: how to name them in English ? >>>>>>> Using asinh acosh atanh like any other programming language do would >>>>>>> be that simple... >>>>>>> But Smalltalk did not follow that path and didn't implement asin acos atan... >>>>>>> In French, inverse hyperbolic functions are named like this >>>>>>> argument sinus hyperbolique (argsh ou argsinh) >>>>>>> http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique >>>>>>> So I decided to use argSinh argCosh argTanh quite naturally (like we >>>>>>> have arcSin arcCos arcTan). >>>>>>> However I'm not sure English has same conventions. Can someone enlighten me? >>>>>>> Nicolas >>>>>> How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. >>>>>> This would fit the existing theme better, since we use arcSin where others use asin, etc. Just appending an "h" looks odd. >>>>> >>>>> Heh, I think appending an "h" looks exactly right :) >>>>> >>>>> http://mathworld.wolfram.com/InverseHyperbolicCosine.html for instance uses "arccosh". >>>> >>>> +1 :) >>>> >>>> Actually searching my image with the message names browser for 'arcSinH', I found the following: >>>> arcSinH >>>> testArcSinH >>>> testArcSinHStd >>> >>> "H" is much better than "h". >>> >>> - Bert - >>> >> >> Then we should use areaSinH not arcSinH... > > Or abbreviate it as arSinH, just like "arc" is short for "arcus"? But either looks fine to me. > In which case we meet ISO 31-11 recommendations, modulo camelCase http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Notes Nicolas >> Note that there is a sinh/cosh in Complex, and that pair should then >> be renamed sinH cosH. > > Right. > >> But it sounds like we want to be unique in computer science. > > Duh ;) > > - Bert - > > > > |
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In reply to this post by Bert Freudenberg
On 2011-04-21, at 15:56, Bert Freudenberg <[hidden email]> wrote:
> > On 21.04.2011, at 23:52, Ken G. Brown wrote: > >> On 2011-04-21, at 15:16, Bert Freudenberg <[hidden email]> wrote: >> >>> >>> On 21.04.2011, at 23:01, Levente Uzonyi wrote: >>> >>>> On Thu, 21 Apr 2011, Frank Shearar wrote: >>>> >>>>> On 2011/04/21 21:18, Bert Freudenberg wrote: >>>>>> On 21.04.2011, at 21:24, Nicolas Cellier wrote: >>>>>>> Just a question of language: how to name them in English ? >>>>>>> Using asinh acosh atanh like any other programming language do would >>>>>>> be that simple... >>>>>>> But Smalltalk did not follow that path and didn't implement asin acos atan... >>>>>>> In French, inverse hyperbolic functions are named like this >>>>>>> argument sinus hyperbolique (argsh ou argsinh) >>>>>>> http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique >>>>>>> So I decided to use argSinh argCosh argTanh quite naturally (like we >>>>>>> have arcSin arcCos arcTan). >>>>>>> However I'm not sure English has same conventions. Can someone enlighten me? >>>>>>> Nicolas >>>>>> How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. >>>>>> This would fit the existing theme better, since we use arcSin where others use asin, etc. Just appending an "h" looks odd. >>>>> >>>>> Heh, I think appending an "h" looks exactly right :) >>>>> >>>>> http://mathworld.wolfram.com/InverseHyperbolicCosine.html for instance uses "arccosh". >>>> >>>> +1 :) >>>> >>>> Actually searching my image with the message names browser for 'arcSinH', I found the following: >>>> arcSinH >>>> testArcSinH >>>> testArcSinHStd >>> >>> "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 |
Re: inverse hyperbolic function
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2011/4/22 Ken G. Brown <[hidden email]>:
> On 2011-04-21, at 15:56, Bert Freudenberg <[hidden email]> wrote: > >> >> On 21.04.2011, at 23:52, Ken G. Brown wrote: >> >>> On 2011-04-21, at 15:16, Bert Freudenberg <[hidden email]> wrote: >>> >>>> >>>> On 21.04.2011, at 23:01, Levente Uzonyi wrote: >>>> >>>>> On Thu, 21 Apr 2011, Frank Shearar wrote: >>>>> >>>>>> On 2011/04/21 21:18, Bert Freudenberg wrote: >>>>>>> On 21.04.2011, at 21:24, Nicolas Cellier wrote: >>>>>>>> Just a question of language: how to name them in English ? >>>>>>>> Using asinh acosh atanh like any other programming language do would >>>>>>>> be that simple... >>>>>>>> But Smalltalk did not follow that path and didn't implement asin acos atan... >>>>>>>> In French, inverse hyperbolic functions are named like this >>>>>>>> argument sinus hyperbolique (argsh ou argsinh) >>>>>>>> http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique >>>>>>>> So I decided to use argSinh argCosh argTanh quite naturally (like we >>>>>>>> have arcSin arcCos arcTan). >>>>>>>> However I'm not sure English has same conventions. Can someone enlighten me? >>>>>>>> Nicolas >>>>>>> How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. >>>>>>> This would fit the existing theme better, since we use arcSin where others use asin, etc. Just appending an "h" looks odd. >>>>>> >>>>>> Heh, I think appending an "h" looks exactly right :) >>>>>> >>>>>> http://mathworld.wolfram.com/InverseHyperbolicCosine.html for instance uses "arccosh". >>>>> >>>>> +1 :) >>>>> >>>>> Actually searching my image with the message names browser for 'arcSinH', I found the following: >>>>> arcSinH >>>>> testArcSinH >>>>> testArcSinHStd >>>> >>>> "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 |
Re: inverse hyperbolic function
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In reply to this post by Nicolas Cellier
On Thu, 21 Apr 2011, Nicolas Cellier wrote:
> 2011/4/21 Bert Freudenberg <[hidden email]>: >> >> On 21.04.2011, at 23:01, Levente Uzonyi wrote: >> >>> On Thu, 21 Apr 2011, Frank Shearar wrote: >>> >>>> On 2011/04/21 21:18, Bert Freudenberg wrote: >>>>> On 21.04.2011, at 21:24, Nicolas Cellier wrote: >>>>>> Just a question of language: how to name them in English ? >>>>>> Using asinh acosh atanh like any other programming language do would >>>>>> be that simple... >>>>>> But Smalltalk did not follow that path and didn't implement asin acos atan... >>>>>> In French, inverse hyperbolic functions are named like this >>>>>> argument sinus hyperbolique (argsh ou argsinh) >>>>>> http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique >>>>>> So I decided to use argSinh argCosh argTanh quite naturally (like we >>>>>> have arcSin arcCos arcTan). >>>>>> However I'm not sure English has same conventions. Can someone enlighten me? >>>>>> Nicolas >>>>> How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. >>>>> This would fit the existing theme better, since we use arcSin where others use asin, etc. Just appending an "h" looks odd. >>>> >>>> Heh, I think appending an "h" looks exactly right :) >>>> >>>> http://mathworld.wolfram.com/InverseHyperbolicCosine.html for instance uses "arccosh". >>> >>> +1 :) >>> >>> Actually searching my image with the message names browser for 'arcSinH', I found the following: >>> arcSinH >>> testArcSinH >>> testArcSinHStd >> >> "H" is much better than "h". >> >> - Bert - >> > > Then we should use areaSinH not arcSinH... > Note that there is a sinh/cosh in Complex, and that pair should then > be renamed sinH cosH. > But it sounds like we want to be unique in computer science. >From wikipedia: "The abbreviations arcsinh, arccosh, etc., are commonly used, even though they are misnomers, since the prefix arc is the abbreviation for arcus, while the prefix ar stands for area.". My point is on "commonly used". But if you care about the meaning, then arSinH or areaSinH is definitely better. Levente > > Nicolas > > |
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In reply to this post by Nicolas Cellier
At 12:58 AM +0200 4/22/11, Nicolas Cellier apparently wrote:
>2011/4/22 Ken G. Brown <[hidden email]>: ><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. 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 |
Re: inverse hyperbolic function
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In reply to this post by Levente Uzonyi-2
2011/4/22 Levente Uzonyi <[hidden email]>:
> On Thu, 21 Apr 2011, Nicolas Cellier wrote: > >> 2011/4/21 Bert Freudenberg <[hidden email]>: >>> >>> On 21.04.2011, at 23:01, Levente Uzonyi wrote: >>> >>>> On Thu, 21 Apr 2011, Frank Shearar wrote: >>>> >>>>> On 2011/04/21 21:18, Bert Freudenberg wrote: >>>>>> >>>>>> On 21.04.2011, at 21:24, Nicolas Cellier wrote: >>>>>>> >>>>>>> Just a question of language: how to name them in English ? >>>>>>> Using asinh acosh atanh like any other programming language do would >>>>>>> be that simple... >>>>>>> But Smalltalk did not follow that path and didn't implement asin acos >>>>>>> atan... >>>>>>> In French, inverse hyperbolic functions are named like this >>>>>>> argument sinus hyperbolique (argsh ou argsinh) >>>>>>> >>>>>>> http://fr.wikipedia.org/wiki/Fonction_hyperbolique#Argument_tangente_hyperbolique >>>>>>> So I decided to use argSinh argCosh argTanh quite naturally (like we >>>>>>> have arcSin arcCos arcTan). >>>>>>> However I'm not sure English has same conventions. Can someone >>>>>>> enlighten me? >>>>>>> Nicolas >>>>>> >>>>>> How about hypSin, hypArcSin, etc.? Alternatively, sinHyp, arcSinHyp. >>>>>> This would fit the existing theme better, since we use arcSin where >>>>>> others use asin, etc. Just appending an "h" looks odd. >>>>> >>>>> Heh, I think appending an "h" looks exactly right :) >>>>> >>>>> http://mathworld.wolfram.com/InverseHyperbolicCosine.html for instance >>>>> uses "arccosh". >>>> >>>> +1 :) >>>> >>>> Actually searching my image with the message names browser for >>>> 'arcSinH', I found the following: >>>> arcSinH >>>> testArcSinH >>>> testArcSinHStd >>> >>> "H" is much better than "h". >>> >>> - Bert - >>> >> >> Then we should use areaSinH not arcSinH... >> Note that there is a sinh/cosh in Complex, and that pair should then >> be renamed sinH cosH. >> But it sounds like we want to be unique in computer science. > >> From wikipedia: "The abbreviations arcsinh, arccosh, etc., are commonly > > used, even though they are misnomers, since the prefix arc is the > abbreviation for arcus, while the prefix ar stands for area.". My point is > on "commonly used". But if you care about the meaning, then arSinH or > areaSinH is definitely better. > > > Levente > Nicolas |
[OT] Re: [squeak-dev] inverse hyperbolic function
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In reply to this post by Ken G. Brown
On Thu, 21 Apr 2011, Ken G. Brown wrote:
> 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. > > 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. Should we do everything like VW or Gemstone, just because those are the successful commercial smalltalk implementations nowadays? No. So why should we follow the conventions of the two successful commercial computer algebra systems? And what about Matlab? That's also a "main mathematical program", isn't it? Levente > > Ken > > |
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