Received: from mail-ie0-f189.google.com ([209.85.223.189]:57525) by stodi.digitalkingdom.org with esmtps (TLSv1:RC4-SHA:128) (Exim 4.76) (envelope-from ) id 1TYe44-0001nm-C4; Wed, 14 Nov 2012 06:35:55 -0800 Received: by mail-ie0-f189.google.com with SMTP id c10sf437159ieb.16 for ; Wed, 14 Nov 2012 06:35:34 -0800 (PST) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=googlegroups.com; s=20120806; h=x-beenthere:received-spf:mime-version:in-reply-to:references:from :date:message-id:subject: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=6TwSfPNIAcyklmDLk80SrBoUbqIFFqOTDIVAv9rSExc=; b=LVf7W5Kr29ndTxYPrFc8rKfjV2jJpdjRJnm7zw8DP1No25pjpgANXuKpVCJEZYog// RivRxdOB960dMMDYpK8jGLnTN1Ryt8qu6BrpJDUYMNc5F5uyMOdXWSsJ1+y75KIZdZvK 2hNddh8C+OjMkGu8jrLTOKts54eJTrbpjiLS20F/Mz+2sclwRQAytvq/Gffj+F7PaQEF L41YUFEbC9wDgEW8ayuYhshCR9km2q/q9QOKZq889QErlek8svW87GVOnRCCeNcugeAk xfQjKBpdTWGuAcaArOZ3pQi3AFB4rTeMqV7OEnOaReaTvtYa8MOzMHThnpbU0HD48KCQ JxKg== Received: by 10.50.191.163 with SMTP id gz3mr781547igc.6.1352903733861; Wed, 14 Nov 2012 06:35:33 -0800 (PST) X-BeenThere: lojban@googlegroups.com Received: by 10.43.57.83 with SMTP id wf19ls977429icb.8.gmail; Wed, 14 Nov 2012 06:35:32 -0800 (PST) Received: by 10.42.211.71 with SMTP id gn7mr16892981icb.11.1352903732843; Wed, 14 Nov 2012 06:35:32 -0800 (PST) Received: by 10.42.211.71 with SMTP id gn7mr16892980icb.11.1352903732824; Wed, 14 Nov 2012 06:35:32 -0800 (PST) Received: from mail-ie0-f181.google.com (mail-ie0-f181.google.com [209.85.223.181]) by gmr-mx.google.com with ESMTPS id uk11si179272igb.2.2012.11.14.06.35.32 (version=TLSv1/SSLv3 cipher=OTHER); Wed, 14 Nov 2012 06:35:32 -0800 (PST) Received-SPF: pass (google.com: domain of lytlesw@gmail.com designates 209.85.223.181 as permitted sender) client-ip=209.85.223.181; Received: by mail-ie0-f181.google.com with SMTP id 16so693707iea.12 for ; Wed, 14 Nov 2012 06:35:32 -0800 (PST) Received: by 10.50.1.170 with SMTP id 10mr1927867ign.2.1352903732706; Wed, 14 Nov 2012 06:35:32 -0800 (PST) MIME-Version: 1.0 Received: by 10.64.68.107 with HTTP; Wed, 14 Nov 2012 06:34:58 -0800 (PST) In-Reply-To: References: <2101160.d8UGEPtV81@caracal> From: MorphemeAddict Date: Wed, 14 Nov 2012 09:34:58 -0500 Message-ID: Subject: Re: [lojban] product of a series To: lojban@googlegroups.com X-Original-Sender: lytlesw@gmail.com X-Original-Authentication-Results: gmr-mx.google.com; spf=pass (google.com: domain of lytlesw@gmail.com designates 209.85.223.181 as permitted sender) smtp.mail=lytlesw@gmail.com; dkim=pass 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=e89a8f502df4673ebf04ce75724d X-Spam-Score: 0.0 (/) X-Spam_score: 0.0 X-Spam_score_int: 0 X-Spam_bar: / --e89a8f502df4673ebf04ce75724d Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable I hoped there'd be a cmavo for it, like "si'i", but Pierre's suggestions would work. Ross's "rapli pilji" would work, too. After reading Robin's essay on mekso, a cmavo may not be the best way to say it anyway. stevo On Tue, Nov 13, 2012 at 11:14 PM, Ross Ogilvie wrot= e: > Or, with regard to > http://www.digitalkingdom.org/robin/tiki-index.php?page=3DLojban,+Math,+m= ekso,+and+bridi+cmaci, how about rapli pilji ? > > Using ni'ai > li pai fi'u re rapli pliji lo porsi befi loni'ai se pliji loni'ai pliji l= i > vo li ny li ny kei loni'ai se sumji loni'ai pliji li vo li ny li ny kei l= i > pa > > In standard lojban > li pai fi'u re rapli pliji lo porsi befi lo se pliji belo pliji be li vo > bei li ny bei li ny be'o bei lo se sumji be lo pliji be li vo bei li ny b= ei > li ny be'o bei li pa > > In standard-ish english > Pi on two is the infinite product of the sequence whose terms are quotien= t > of 4 times n squared and 4 times n squared minus one > > In latex > \pi / 2 =3D \Pi_{n=3D1}^\infty \frac{4n^2}{4n^2 -1} > > Yeah, maths in lojban is kinda a mess. > > -- Ross > > > On 14 November 2012 14:23, Pierre Abbat wrote: > >> On Tuesday, November 13, 2012 21:50:30 MorphemeAddict wrote: >> > What is the Lojban word for product of a series, symbolized by a capit= al >> > pi? It would be analogous to this word for summation: >> > >> > si'i (VUhU4) =3D sigma summation trinary mathematical operator: [sigma >> > summation of a using variable b over range c] >> >> I don't see one. How about "piu'i" or "pui'i" or "pai'i"? >> >> Pierre >> -- >> When a barnacle settles down, its brain disintegrates. >> J=E1 n=E3o percebe nada, j=E1 n=E3o percebe nada. >> >> -- >> 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 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. --e89a8f502df4673ebf04ce75724d Content-Type: text/html; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable I hoped there'd be a cmavo for it, like "si'i", but Pierr= e's suggestions would work. Ross's "rapli pilji" would wo= rk, too.=A0
After reading Robin's essay on mekso, a cmavo may not b= e the best way to say it anyway.=A0

stevo

On Tue, Nov 13,= 2012 at 11:14 PM, Ross Ogilvie <ross@rossogilvie.id.au> wrote:
Or, with regard to http://www.digitalkingdom.org/robin/tiki-index.php= ?page=3DLojban,+Math,+mekso,+and+bridi+cmaci , how about rapli pilji ?<= br>
Using ni'ai
li pai fi'u re rapli pliji lo porsi befi loni= 9;ai se pliji loni'ai pliji li vo li ny li ny kei loni'ai se sumji = loni'ai pliji li vo li ny li ny kei li pa

In standard lojban
li pai fi'u re rapli pliji lo porsi befi lo se pliji belo pliji be li v= o bei li ny bei li ny be'o bei lo se sumji be lo pliji be li vo bei li = ny bei li ny be'o bei li pa

In standard-ish english
Pi on two= is the infinite product of the sequence whose terms are quotient of 4 time= s n squared and 4 times n squared minus one

In latex
\pi / 2 =3D \Pi_{n=3D1}^\infty \frac{4n^2}{4n^2 -1}

= Yeah, maths in lojban is kinda a mess.

-- Ross


On 14 November 2012 14:23, Pierre Abbat <ph= ma@bezitopo.org> wrote:
On Tuesday, November 13, 2012 21:50:30 = MorphemeAddict wrote:
> What is the Lojban word for product of a series, symbolized by a capit= al
> pi? It would be analogous to this word for summation:
>
> si'i (VUhU4) =3D sigma summation trinary mathematical operator: [s= igma
> summation of a using variable b over range c]

I don't see one. How about "piu'i" or "pui'= ;i" or "pai'i"?

Pierre
--
When a barnacle settles down, its brain disintegrates.
J=E1 n=E3o percebe nada, j=E1 n=E3o percebe nada.

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