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UpValues for Blank[foo]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg54166] UpValues for Blank[foo]
  • From: Josef Karthauser <joe at tao.org.uk>
  • Date: Sat, 12 Feb 2005 01:57:23 -0500 (EST)
  • References: <cud7du$2u7$1@smc.vnet.net> <200502110833.DAA09117@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

I wonder what's I'm doing wrong.  I'm trying to change the upvalues of a
function with respect to Blank[] so as to have it dynamically changed
into something else, e.g.

    := F /: Blank[F] := _?FQ

where FQ[F] returns true, and false on anything else, but although
installed it doesn't appear to work.

To simplify the example I wondered whether I could define my own _F to
behave like _Integer, i.e.

    := F /: Blank[F] := Blank[Integer]

which appears to be in place as a rule:

    := ?? F
    Global`F
    _F := _Integer

but doesn't work:

    := _F // FullForm
    Blank[F]

I thought that maybe wrapping HoldPattern[] around the Blank[F] in the
upvalue rule might have fixed it, but it doesn't.

Is there some special handling for Blank[] within mathematica? Can I
circumvent it somehow?

Joe
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