Re: Dropping Similar Numbers from List

• To: mathgroup at smc.vnet.net
• Subject: [mg60586] Re: [mg60564] Dropping Similar Numbers from List
• From: "David Park" <djmp at earthlink.net>
• Date: Wed, 21 Sep 2005 03:20:19 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Andre,

Options[Union]
{SameTest -> Automatic}

I'm going to use 10^-12 as a cutoff just so we can better see an example.

testlist = {1, 2, 1, 2, 1, 2} + Table[10*^-13 Random[], {6}]
% // InputForm

{1., 2., 1., 2., 1., 2.}
{1.0000000000005198, 2.000000000000947,
1.0000000000004527, 2.0000000000004654,
1.0000000000003908, 2.0000000000003486}

Union[testlist, SameTest -> (Abs[#1 - #2] < 10*^-12 &)]
{1., 2.}

David Park

From: andre [mailto:erasmus.the.giant at gmail.com]
To: mathgroup at smc.vnet.net

My data set has some numbers which differ by a small amount, say one
part in 10^-15, that I don't want to appear more than once.  If they
were identical, I would just use Union[data] and be finished.  Is there
a way to set a tollerance for the Union function?

I tried to use SetPrecision to get rid of the unwanted extra digits,
but Union[SetPrecision[data,n]] gives the same result as Union[data].
What exactly does SetPrecision do?  It seems that it's not just
dropping the digits beyond the limit I set.

Andre

```

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