From lojban+bncCOib25n_BhCuyrPtBBoEzS3IJw@googlegroups.com Mon Apr 18 18:28:30 2011 Received: from mail-vx0-f189.google.com ([209.85.220.189]) by chain.digitalkingdom.org with esmtp (Exim 4.72) (envelope-from ) id 1QBzju-0002Rc-Lb; Mon, 18 Apr 2011 18:28:30 -0700 Received: by vxk20 with SMTP id 20sf1826786vxk.16 for ; Mon, 18 Apr 2011 18:28:20 -0700 (PDT) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=googlegroups.com; s=beta; h=domainkey-signature:x-beenthere:received-spf:mime-version :in-reply-to:references:date:message-id:subject:from:to :x-original-sender:x-original-authentication-results:reply-to :precedence:mailing-list:list-id:x-google-group-id:list-post :list-help:list-archive:sender:list-subscribe:list-unsubscribe :content-type; bh=1wz5qa2iDoVwx1yuB2OHx+ka+yDd3wUECtBDAzR5UW8=; b=ASrKHSNBLm9oc2c57Z3QDFjohD+QhU03ebUx3NVCZOQgcIMRsGD8dCdHF+Ei7OsQke yBzenJD5UmngoIZmBRx6HqnUBqW7Xns1dTrqwMDDnV/u+DdMUz7TtaeK8mifLzW6iqBE 5n4hqDeGiZKI/LKJjQN+8azAXUzlvhv1OiBhE= DomainKey-Signature: a=rsa-sha1; c=nofws; d=googlegroups.com; s=beta; h=x-beenthere:received-spf:mime-version:in-reply-to:references:date :message-id:subject:from:to:x-original-sender :x-original-authentication-results:reply-to:precedence:mailing-list :list-id:x-google-group-id:list-post:list-help:list-archive:sender :list-subscribe:list-unsubscribe:content-type; b=Zk0hFCbJhio2McQtxguuEJxXiPTOtXh5s/urejoS2iqi8CA6TVUBUySgMrPRzrRDEC mS1zO01plPx83Gv2IYKdo2Q4fA5CR95VMZSCyKcrvgoR0Si3+YoqdDxGcsDUkhhy3IYH iey3zPP5+d8w019YrkIJMoILgKd8o312b0a+g= Received: by 10.220.161.21 with SMTP id p21mr520311vcx.42.1303176494693; Mon, 18 Apr 2011 18:28:14 -0700 (PDT) X-BeenThere: lojban@googlegroups.com Received: by 10.220.113.208 with SMTP id b16ls70537vcq.0.gmail; Mon, 18 Apr 2011 18:28:12 -0700 (PDT) Received: by 10.52.176.161 with SMTP id cj1mr1393740vdc.26.1303176492905; Mon, 18 Apr 2011 18:28:12 -0700 (PDT) Received: by 10.52.176.161 with SMTP id cj1mr1393739vdc.26.1303176492890; Mon, 18 Apr 2011 18:28:12 -0700 (PDT) Received: from mail-qy0-f169.google.com (mail-qy0-f169.google.com [209.85.216.169]) by gmr-mx.google.com with ESMTPS id du3si359835vdc.0.2011.04.18.18.28.12 (version=TLSv1/SSLv3 cipher=OTHER); Mon, 18 Apr 2011 18:28:12 -0700 (PDT) Received-SPF: pass (google.com: domain of rpglover64@gmail.com designates 209.85.216.169 as permitted sender) client-ip=209.85.216.169; Received: by qyk2 with SMTP id 2so1376193qyk.7 for ; Mon, 18 Apr 2011 18:28:12 -0700 (PDT) MIME-Version: 1.0 Received: by 10.224.49.66 with SMTP id u2mr3212260qaf.326.1303176492459; Mon, 18 Apr 2011 18:28:12 -0700 (PDT) Received: by 10.224.28.203 with HTTP; Mon, 18 Apr 2011 18:28:12 -0700 (PDT) In-Reply-To: References: Date: Mon, 18 Apr 2011 21:28:12 -0400 Message-ID: Subject: Re: [lojban] Mathematical epsilon From: Alex Rozenshteyn To: lojban@googlegroups.com X-Original-Sender: rpglover64@gmail.com X-Original-Authentication-Results: gmr-mx.google.com; spf=pass (google.com: domain of rpglover64@gmail.com designates 209.85.216.169 as permitted sender) smtp.mail=rpglover64@gmail.com; dkim=pass (test mode) header.i=@gmail.com Reply-To: lojban@googlegroups.com Precedence: list Mailing-list: list lojban@googlegroups.com; contact lojban+owners@googlegroups.com List-ID: X-Google-Group-Id: 1004133512417 List-Post: , List-Help: , List-Archive: Sender: lojban@googlegroups.com List-Subscribe: , List-Unsubscribe: , Content-Type: multipart/alternative; boundary=001485e98b36e9a86304a13b6b99 --001485e98b36e9a86304a13b6b99 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: quoted-printable 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 > For the latter, what's wrong with just using {.ebu} or something, minus t= he > irritating conflict between this name and Euler's constant? > > For the former, incidentally, {li fi'u ci'i} works although it's really n= ot > at the correct level of precision for nonstandard analysis. > > > mu'o mi'e .latros. > > On Mon, Apr 18, 2011 at 7:32 PM, .arpis. wro= te: > >> doi Ian >> >> The latter. >> >> >> On Mon, Apr 18, 2011 at 7:31 PM, .arpis. wr= ote: >> >>> The =CE=B5-=CE=B4 definition of a limit isn't the only use of =CE=B5 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 pr= ime. >>> >>> >>> 2011/4/18 Jonathan Jones >>> >>>> On Mon, Apr 18, 2011 at 2:35 PM, Alex Rozenshteyn >>> > 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 =CE=B4,= not >>>> just =CE=B5. >>>> >>>> -- >>>> 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 ) >>>> >>>> -- >>>> You received this message because you are subscribed to the Google >>>> Groups "lojban" group. >>>> To post to this group, send email to lojban@googlegroups.com. >>>> To unsubscribe from this group, send email to >>>> lojban+unsubscribe@googlegroups.com. >>>> For more options, visit this group at >>>> http://groups.google.com/group/lojban?hl=3Den. >>>> >>> >>> >>> >>> -- >>> mu'o mi'e .arpis. >>> >>> >> >> >> -- >> mu'o mi'e .arpis. >> >> -- >> You received this message because you are subscribed to the Google Group= s >> "lojban" group. >> To post to this group, send email to lojban@googlegroups.com. >> To unsubscribe from this group, send email to >> lojban+unsubscribe@googlegroups.com. >> For more options, visit this group at >> http://groups.google.com/group/lojban?hl=3Den. >> > > -- > You received this message because you are subscribed to the Google Groups > "lojban" group. > To post to this group, send email to lojban@googlegroups.com. > To unsubscribe from this group, send email to > lojban+unsubscribe@googlegroups.com. > For more options, visit this group at > http://groups.google.com/group/lojban?hl=3Den. > --=20 Alex R --=20 You received this message because you are subscribed to the Google Groups "= lojban" group. To post to this group, send email to lojban@googlegroups.com. To unsubscribe from this group, send email to lojban+unsubscribe@googlegrou= ps.com. For more options, visit this group at http://groups.google.com/group/lojban= ?hl=3Den. --001485e98b36e9a86304a13b6b99 Content-Type: text/html; charset=UTF-8 Content-Transfer-Encoding: quoted-printable I'm looking less for a symbol and more for a number, like {ci'i} or= {te'o}.=C2=A0 I (holding the company that I do) have found myself usin= g "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&= #39;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, .arp= is. <rpglover64+jbobau@gmail.com> wrote:
The =CE=B5-=CE=B4 definition of a limit isn't the only use of =CE=B5 in= this sense, although it's the most well known. Epsilon is used to repr= esent an arbitrarily small number, the same way that p is used to represent= a prime.


2011/4/18 Jonathan Jones &= lt;eyeonus@gmail.com= >
On Mon, Apr 18, 2011 at 2:3= 5 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 somet= imes used in math to represent an arbitrarily small number. Is there a numb= er word in lojban that means something similar? Is "so'u" suc= h a word?

gy
--
=C2=A0=C2=A0 =C2=A0 =C2=A0 =C2=A0 = =C2=A0Alex R

As in the fo= rmal definition of limits? We'd need something for =CE=B4, not just =CE= =B5.

--
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.




--
mu'o mi'= e .arpis.

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--
=C2=A0=C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0Alex R

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