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Re: [lojban] Mathematical epsilon



I'm looking less for a symbol and more for a number, like {ci'i} or {te'o}.  I (holding the company that I do) have found myself using "epsilon" and meaning "an arbitrarily small number", and this seems like a number that would be useful.

Also, I can't see a context where the two different infinitesimals would be confused (but I haven't done much analysis), so a single cmavo could probably encompass both.

2011/4/18 Ian Johnson <blindbravado@gmail.com>
For the latter, what's wrong with just using {.ebu} or something, minus the irritating conflict between this name and Euler's constant?

For the former, incidentally, {li fi'u ci'i} works although it's really not at the correct level of precision for nonstandard analysis.


mu'o mi'e .latros.

On Mon, Apr 18, 2011 at 7:32 PM, .arpis. <rpglover64+jbobau@gmail.com> wrote:
doi Ian

The latter.


On Mon, Apr 18, 2011 at 7:31 PM, .arpis. <rpglover64+jbobau@gmail.com> wrote:
The ε-δ definition of a limit isn't the only use of ε in this sense, although it's the most well known. Epsilon is used to represent an arbitrarily small number, the same way that p is used to represent a prime.


2011/4/18 Jonathan Jones <eyeonus@gmail.com>
On Mon, Apr 18, 2011 at 2:35 PM, Alex Rozenshteyn <rpglover64@gmail.com> wrote:
.i me'o .Epsilon bu lo'o se pilno ci'e da poi cmaci ku'o fi lo sinxa be lo namcu poi na'e jimte fi lo ka cmalu
.i ma xu namcu valsi bau la lojban smuni simsa
.i go'i fa zo so'u xu

ni'o xe fanva zoi gy

The symbol "epsilon" is sometimes used in math to represent an arbitrarily small number. Is there a number word in lojban that means something similar? Is "so'u" such a word?

gy
--
          Alex R

As in the formal definition of limits? We'd need something for δ, not just ε.

--
mu'o mi'e .aionys.

.i.a'o.e'e ko cmima le bende pe lo pilno be denpa bu .i doi.luk. mi patfu do zo'o
(Come to the Dot Side! Luke, I am your father. :D )

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mu'o mi'e .arpis.




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mu'o mi'e .arpis.

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          Alex R

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