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Re: operator definition

  • To: mathgroup at smc.vnet.net
  • Subject: [mg84769] Re: operator definition
  • From: "Steve Luttrell" <steve at _removemefirst_luttrell.org.uk>
  • Date: Sun, 13 Jan 2008 05:48:15 -0500 (EST)
  • References: <fm7ddq$elg$1@smc.vnet.net>

You can do this with the notation package.

In version 6 this is as follows:

In[1]:= <<Notation`

Define the notation.

In[2]:= <I have copied this as a Cell Expression immediately below, 
otherwise it loses some essential information>

Cell[BoxData[
 RowBox[{"Notation", "[",
  RowBox[{
   TagBox[
    RowBox[{"u_", " ",
     UnderscriptBox["<", "i_"], " ", "v_"}],
    "NotationTemplateTag"], " ", "\[DoubleLongLeftRightArrow]", " ",
   TagBox[
    RowBox[{
    "u_", " ", "\[Intersection]", " ", "v_", " ", "\[Intersection]",
     " ",
     RowBox[{"{", "i_", "}"}]}],
    "NotationTemplateTag"]}], "]"}]], "Input"]

Check that the notation parses to the correct internal form.

In[3]:= firstset \!\(\*UnderscriptBox["<", "i"]\)secondset//FullForm
Out[3]//FullForm= Intersection[firstset,secondset,List[i]]

Run through an example.

In[4]:= firstset=RandomInteger[{1,10},10]
Out[4]= {9,8,2,1,7,3,4,8,7,10}

In[5]:= secondset=RandomInteger[{1,10},10]
Out[5]= {9,10,2,7,4,8,4,10,9,3}

In[6]:= i=Apply[Sequence,RandomInteger[{1,10},10]]
Out[6]= Sequence[7,5,5,7,6,9,8,10,9,7]

In[7]:= firstset \!\(\*UnderscriptBox["<", "i"]\)secondset
Out[7]= {7,8,9,10}

Stephen Luttrell
West Malvern, UK

"P_ter" <peter_van_summeren at yahoo.co.uk> wrote in message 
news:fm7ddq$elg$1 at smc.vnet.net...
> Hello,
>
> I want to define an operator like(note the "i_" under the "<". As an 
> example:
> firstSet_ \!\(\*UnderscriptBox["<", "i_"]\) secondSet_ :=
> firstSet \[Intersection] secondSet \[Intersection] {i}
>
> But Mathematica refuses to accept this. It says:
> Syntax::sntxi: Incomplete expression; more input is needed.
> What could I do better?
> with friendly greetings,
> P_ter
> 



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