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Re: Implicit Times

On 11/11/2012 20:56, Dave Snead wrote:
> Thanks, but the issue is not defining the operator.
> The issue is Mathematica's implicit assumption of a Times (*) when there's a
> space between variables.
> The NonCommutativeMultiply (**) already exists.
> So when I input
> x y//FullForm
> I want Mathematica to return
> NonCommutativeMultiply[x,y]
> instead of
> Times[x,y]
> Of course I want the explicit Times (*) to
> still work the same as before,
> x*y//FullForm
> yielding
> Times[x,y]
> --Dave Snead

I think you can probably get what you want, if you start with an 
expression in the form of a string:

In[4]:= str = " (b a) c*d"

Out[4]= " (b a) c*d"

In[8]:= str1 = StringReplace[str, "*" -> "\[SmallCircle]"]

Out[8]= " (b a) c\[SmallCircle]d"

In[12]:= expr =
  ToExpression[str1, StandardForm, Hold] /. Times -> CircleTimes /.
    SmallCircle -> Times // ReleaseHold

Out[12]= (b\[CircleTimes]a)\[CircleTimes](c d)

In[14]:= % // FullForm

CircleTimes[CircleTimes[b, a], Times[c, d]]

The above uses the standard Mathematica parser using a couple of tricks, 
but more generally, if you start with a string, you can parse it as you 
see fit with a little effort.

David Bailey

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