Sujet : Re: Does the number of nines increase?
De : james.g.burns (at) *nospam* att.net (Jim Burns)
Groupes : sci.mathDate : 02. Jul 2024, 19:43:10
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <fb876d0a-2b85-4168-9d72-f320f2440140@att.net>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
User-Agent : Mozilla Thunderbird
On 7/2/2024 2:40 PM, Jim Burns wrote:
On 7/1/2024 7:42 PM, Ross Finlayson wrote:
On 06/30/2024 09:22 PM, Jim Burns wrote:
[...]
>
It's not really any of the initial approximations,
this limit, this infinite limit, this continuum limit.
>
It's an _infinite_ limit.
Again, despite the name,
the continuum limit and the continuum are different.
In the continuum limit,
the least.upper.bound of neighbor.distances is 0
Gack!
In the continuum limit,
the greatest.lower.bound of neighbor.distances is 0
In the continuum,
in each nonempty split F ᴬ<ᴬ H
foresplit F holds a last or hindsplit H holds a first.
The rationals are an example of
the continuum limit which isn't the continuum.
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