SameTest in Union

*To*: mathgroup at smc.vnet.net*Subject*: [mg61106] SameTest in Union*From*: Jack Goldberg <jackgoldberg at comcast.net>*Date*: Mon, 10 Oct 2005 02:40:08 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Hi Folks, I know there is a simple answer to this question but the help index idoes not help! I have a list, something like this: lst = {1.1101, 1.11095, 1.11076, 1.09, 2.3523, 2.352. 2.35211} I want to remove from the list those entries which are near each other but not identical, leaving only one representative for each of these numbers. One approach is to use Union with the option SameTest->???. Here the same test might be that the difference between entries is less than, say 10^(-2). But I can't seem to get SameTest to work. So, what I want is Union[ lst, SameTest- > ?] so that the union returns {1.1101, 2.35211} Here, I chose 2 representatives. Any other choice is OK; say, {1.11095, 2.352} is also satisfactory. There may be other ways to do this, but I thought of Union first. Perhaps, Cases or Select might be better. Any help is appreciated. Jack

**Follow-Ups**:**Re: SameTest in Union***From:*"Carl K. Woll" <carl@woll2woll.com>

**Re: SameTest in Union***From:*curtis <gardyloo@mail.wsu.edu>