Re: Some function like Position[] but uses criteria, not pattern?

• To: mathgroup at smc.vnet.net
• Subject: [mg99543] Re: Some function like Position[] but uses criteria, not pattern?
• From: Dana DeLouis <dana01 at me.com>
• Date: Thu, 7 May 2009 06:38:46 -0400 (EDT)

```Hi.  Same solution as others, just displayed differently for small
arrays.

m = RandomInteger[{9}, {10, 10}];
sol = Position[m, _?(# > 3 &)];
MatrixForm[SplitBy[sol, First]]

= = =
HTH
Dana DeLouis

Nasser Abbasi wrote:
> V 7.0
>
> Position[]  works by returning position of elements which matches a
pattern.
> This is all good and well.
>
> But sometimes, I need to find the positions (i.e index) of elements
that
> matches a criteria, not a pattern.
>
> For example, using pattern
>
> a = {1, 0, 4, -5, 8}
> Position[a, 0]
> Out[15]= {{2}}
>
> But what if I wanted the position of the elements which, say, are
larger
> than 3? this is not a pttern, but a criteria. Which in this example
should
> find elements which are in position 3 and 5 in list 'a' above.
>
> I can't type
> Position[a, #1 > 3 & ]
>
> Now, Select[] does take a criteria, good, so I could type
>
> Select[a, #1 > 3 & ]
> {4, 8}
>
> But I wanted the positions of the elements, not the elements
themselves.
>
> I could use Select to find the elements, then use Position to find
the
> position of these elements as follows
>
> c = Select[a, #1 > 3 & ];
> Flatten[(Position[a, #1] & ) /@ c]
>
> Out[65]= {3, 5}
>
> But I think this is bit messy. I think Position[] or new function
similar,
> should have an option to return position of elements based on
criteria, not
> just pattern. The above gets more messy for me, when I wanted to find
> position of elements in a matrix based on some criteria.
>
> For example, find the position (i.e. row and column) index in a
matrix (list
> of lists) of those elements which matches some criteria. Say >3.
>
> thanks,
> --Nasser
>
>
>
>

```

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