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Re: Primed Variables in Mathematica
*To*: mathgroup at smc.vnet.net
*Subject*: [mg50707] Re: [mg50652] Primed Variables in Mathematica
*From*: "Wolf, Hartmut" <Hartmut.Wolf at t-systems.com>
*Date*: Fri, 17 Sep 2004 01:17:24 -0400 (EDT)
*Sender*: owner-wri-mathgroup at wolfram.com
>-----Original Message-----
>From: David Park [mailto:djmp at earthlink.net]
To: mathgroup at smc.vnet.net
>Sent: Wednesday, September 15, 2004 7:50 AM
>To: mathgroup at smc.vnet.net
>Subject: [mg50707] [mg50652] Primed Variables in Mathematica
>
>
>Primed variables are in such common use in textbooks and
>papers that I don't understand why Mathematica doesn't allow them.
>
>Of course, x' represents a derivative, but there is a prime
>character that can be obtained by esc ' esc or by \[Prime].
>
>x\[Prime] // Head
>Symbol
>
>But the problem is that the \[Prime] character is not raised
>but sits at the same level as x. It would be much better if
>the \[Prime] character were raised to the normal level to give
>better looking expressions. I admit that there could be some
>visual confusion, but not Mathematica confusion, with
>derivatives, but it would usually be clear from context.
>
>I wish that WRI would fix the Prime, DoublePrime, ReversePrime
>and ReverseDoublePrime characters so they displayed at the
>correct vertical level in expressions.
>
>David Park
>djmp at earthlink.net
>http://home.earthlink.net/~djmp/
>
>
>
Dear David,
this seems to be one of the cases where parsing and semantic action on input (expression formation) come across.
If you use from the basic input palette...
Cell[BoxData[
SuperscriptBox["\[Placeholder]",
"\[Placeholder]"]], "Input"]
...and insert a and Prime into the placeholders you get
In[10]:= \!\(a\^\[Prime]\)
Out[10]=
\!\(\*
SuperscriptBox["a", "\[Prime]",
MultilineFunction->None]\)
In[11]:= % // FullForm
Out[11]//FullForm= Derivative[1][a]
But using b for Prime for the same placeholder gives
In[12]:= \!\(a\^b\)
Out[12]= \!\(a\^b\)
In[13]:= % // FullForm
Out[13]//FullForm= Power[a, b]
But for linear input the "substitution" is not being made
In[8]:= Power[a, \[Prime]]
Out[8]= \!\(a\^\[Prime]\)
In[9]:= % // FullForm
Out[9]//FullForm= Power[a, \[Prime]]
Perhaps you might use Superscript for your application
In[4]:= Superscript[a, b]
Out[4]=
\!\(\*
InterpretationBox[\(a\^b\),
Superscript[ a, b],
Editable->False]\)
In[5]:= % // FullForm
Out[5]//FullForm= Superscript[a, b]
In[6]:= Superscript[a, \[Prime]]
Out[6]=
\!\(\*
InterpretationBox[\(a\^\[Prime]\),
Superscript[ a, \[Prime]],
Editable->False]\)
In[7]:= % // FullForm
Out[7]//FullForm= Superscript[a, \[Prime]]
Where the behavior is uniform
(Perhaps create a palette for that. This may have to be symbolized, though, for your application in mind.)
But I fully agree with your quest.
--
Hartmut
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