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Re: Modification to Thread or MapThread

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  • Subject: [mg26404] Re: [mg26380] Modification to Thread or MapThread
  • From: "Carl K. Woll" <carlw at>
  • Date: Wed, 20 Dec 2000 00:21:30 -0500 (EST)
  • References: <>
  • Sender: owner-wri-mathgroup at

Hi Chris,

One possibility is to make the function Listable. Alternatively, a simpler
solution than the one you proposed is the following


Carl Woll
Physics Dept
U of Washington

----- Original Message -----
From: "Chris Johnson" <cjohnson at>
To: mathgroup at
Subject: [mg26404] [mg26380] Modification to Thread or MapThread

> Hello again,
> I am still playing around with making functions work over mixed vectors
> and scalers for arguments and have run into a limitation of Thread and
> MapThread.  They don't handle different length lists well.  The
> Mathematica book mentions this and presents a work around, but it isn't
> working for me.  I was wondering what other peoples suggestions might be.
> I have a function that require 2 arguments:
> f[container1_, container2_]
> The containers are like lists that generally should be kept
> whole.  Sometimes the containers may have a head like "Bond" othertimes
> they are standard like "List".
> I have a vector V1 of objects of type container1 and a single object of
> container2.
> I want to create the vector resulting from applying f over each
> item in V1 and container2, or...
> { f[ V1[[1]], container2], f[ V1[[2]], container2], ...}
> Best case and most intuitive to me is simply try f[V1, container2].  I
> believe this would work if the function was "Listable", but it isn't.
> Unfortunately, the way f is defined, this doesn't work.  The solution so
> far (Thanks to help from this list!) is to use the following syntax...
> f @@@ Transpose[V1, Table[container2, { Length[V1] } ]
> Is there a better way?  Can I generalize the definitions of functions so
> they can understand this type of syntax?  Or even create my own function
> which automagically threads vectors of objects and single objects?
> The main intent, I suppose, is to avoid generating a table that seems
> unnecessary and feels sloppy.  If avoiding the table creation isn't
> possilble, getting it done behind the scenes would be an improvement to
> me.  A little paint over the duct tape, as it were.
> Thanks again.
> Chris

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