Re: Integer Length Count

• To: mathgroup at smc.vnet.net
• Subject: [mg128765] Re: Integer Length Count
• From: daniel.lichtblau0 at gmail.com
• Date: Sat, 24 Nov 2012 02:27:06 -0500 (EST)
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• References: <k8nc79\$dh1\$1@smc.vnet.net>

```On Friday, November 23, 2012 2:32:54 AM UTC-6, sylvi... at comcast.net wrote:
> I use a function in SAS that takes, in my case, a billion different integ=
ers of varying length and counts the frequency of the length of each intege=
r by converting the digits in the integers into alpha characters and counti=
ng the frequency of the right most position of the alpha character.
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> I am trying to do more and more routine programming in Mathematica and af=
ter poking around in documentation for the past 4 hours have yet to find th=
e parallel function in Mathematica for counting the integer frequency lengt=
h in a big data set. My family wants me to drop everything and put the Turk=
ey in the oven. My cat Sylvester even fell asleep on his back in front of t=
he refrigerator with his little legs up in the air, so he want miss the tra=
nsfer of the Turkey from the stove to the refrigerator. OH WELL -- IT'S SHO=
W TIME!
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> Meanwhile, let me know any recommendations you have on a Mathematica func=
tion that parallels the SAS Function.
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> Sylvia Hobbs

Could take floor of logs base 10 to get the digit counts.

listofintegers =1+10^RandomInteger[{0,12},{100}];

Tally[Map[Floor[Log[10.,#]]&, listofintegers]]

Out[12]= {{6, 8}, {9, 6}, {11, 11}, {12, 8}, {7, 13}, {1, 8}, {8, 8},
{10, 8}, {2, 7}, {5, 9}, {3, 4}, {0, 5}, {4, 5}}

Daniel Lichtblau
Wolfram Research

```

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