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Re: Replace, test question

  • To: mathgroup at smc.vnet.net
  • Subject: [mg120351] Re: Replace, test question
  • From: Heike Gramberg <heike.gramberg at gmail.com>
  • Date: Tue, 19 Jul 2011 07:00:02 -0400 (EDT)
  • References: <201107181013.GAA26882@smc.vnet.net>

With a pattern /; test construct you get a positive match if test itself =
evaluates to True, not test[pattern], so in this
case you would want test to be PrimeQ[x], not PrimeQ, e.g.

{58, 61, 15, 66, 10, 2, 24, 81, 45, 84} /. x_ /; PrimeQ[x] -> P

You could also have used a PatternTest which is of the form =
pattern?test, where you get a positive match if test[pattern] is
True, so in this case

{58, 61, 15, 66, 10, 2, 24, 81, 45, 84} /. x_?PrimeQ -> P

would give the same result as above.

Heike


On 18 Jul 2011, at 11:13, PA32R wrote:

> I'm very new to Mathematica and trying to work my way through it. I
> don't understand why:
> {58, 61, 15, 66, 10, 2, 24, 81, 45, 84} /. x_ /; PrimeQ -> P
> returns:
> {58, 61, 15, 66, 10, 2, 24, 81, 45, 84}
>
> I would expect it to take the list, replace everything in the list
> that matches any pattern and passes the PrimeQ test, i.e., is prime,
> with P to yield:
> {58, P, 15, 66, 10, P, 14, 81, 45, 84}
>
> Can someone explain my misunderstanding?
>
> Thanks.
>



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