Re: Position function

• To: mathgroup at smc.vnet.net
• Subject: [mg55592] Re: Position function
• From: dh <dh at metrohm.ch>
• Date: Wed, 30 Mar 2005 03:22:23 -0500 (EST)
• References: <d2b4q9\$77c\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Hello Konstatin,

konstantpi at mail15.com wrote:
> suppose i have a List:
> a={{1,3,1,2,1},{5,6,1,1,3,1}}
> how i could know the positions of "1" in every sublist , i could use Position[a
> [[1]],1] and Position[a[[2]],1]
> but i want a one formula to give me {{1,3,5},{3,4,6}}

Position does just that. You only have to arrange the output to your
taste, what can be done by Cases:
a = {{1, 3, 1, 2, 1}, {5, 6, 1, 1, 3, 1}};
p = Position[a, 1];
Cases[p, {1, x_} -> x]
gives:
{1, 3, 5}

or all sublist in one go, using Map and a pure function:
Flatten @ Position [#, 1] & /@ a
gives:
{{1, 3, 5}, {3, 4, 6}}
>
> the second question:
> using Position[a,1] will give:
> {{1, 1}, {1, 3}, {1, 5}, {2, 3}, {2, 4}, {2, 6}}
> in general how to extract only the second item from every sublist so the output
> will be;
> {1,3,5,3,4,6}

t={{1, 1}, {1, 3}, {1, 5}, {2, 3}, {2, 4}, {2, 6}};
t[[All,2]]
gives:
{1, 3, 5, 3, 4, 6}

Sincerely, Daniel

```

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