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fom
Posts:
1,037
Registered:
12/4/12
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Re: distinguishability - in context, according to definitions
Posted:
Feb 19, 2013 9:05 AM
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On 2/19/2013 5:08 AM, Shmuel (Seymour J.) Metz wrote:
> In <ut6dnU8pievPZYLMnZ2dnUVZ_rudnZ2d@giganews.com>, on 02/16/2013
> at 03:21 PM, fom <fomJUNK@nyms.net> said:
>
>> Ok. So, the trivial topology
>
>> d(x,x)=0
>
>> d(x,y)=1,-(x=y)
>
> That's not a topology, it's a metric. The topology associated with
> that metric is the discrete topology, and it's just as easy to define
> the discrete topology without bothering with a metric.
>
Yes.
You are correct.
All that had been intended was
to choose a metric representation that
was easily related to the information
processing domain.
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