Received: from mail-lb0-f189.google.com ([209.85.217.189]:40653) by stodi.digitalkingdom.org with esmtps (TLSv1:RC4-SHA:128) (Exim 4.76) (envelope-from ) id 1TYUO4-0005zR-7X; Tue, 13 Nov 2012 20:15:59 -0800 Received: by mail-lb0-f189.google.com with SMTP id j7sf22505lbo.16 for ; Tue, 13 Nov 2012 20:15:32 -0800 (PST) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=googlegroups.com; s=20120806; h=x-beenthere:received-spf:mime-version:x-originating-ip: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=gpWwSraNTY61zut7DgmX9WEyskhDvGo/kYw8j3EE8cY=; b=K0s/SK80v6GREzcGJ5u6d7g998+v8TfXpl2WM0oyLZalE5teuvSr/4HHh3nWivCF1K 7QteAUn47zcOzk1Ec093eXVeLrQIwCnhs+LmZVKz4YLI3vnlDTXn1728z++/bnwEf5Qr a4LM/XbNffOVFgLDZaIHlQQWsBI37WUB5mVkXAzlY2XqACqYOZkPgcv7WKsE2nAeN9Gb A2SrYwNi08PlfJZmvz5Wb248wS5a0Yu72LAxdNushIZRwzCmFv+JaTJ+oBZ/tOQRGOot I8HCxrEav6IrWSxJNXSA/WrYtk4ugMEqsi2/XLXyB8YKbnhcbk+IjlzhENGjWaZRaBFF MGNA== X-Google-DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=google.com; s=20120113; h=x-beenthere:received-spf:mime-version:x-originating-ip:in-reply-to :references:from:date:message-id:subject:to:x-gm-message-state :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=gpWwSraNTY61zut7DgmX9WEyskhDvGo/kYw8j3EE8cY=; b=Jy9Gg1X9UIJ5a1sviumjmg1hIFkWZIoAuHVe92LEIPk6lCF+FmqzRmemnJfZLL055v qhgDBXPtXwUYwMAtrQ94dvuzTF2/392xIUHx4kfQrxLiWw0qbXkbynyzQQm/oN6z/HF5 h59Hn+ruNxOTigUspURe2ZADA/m/v4lBjhBD+YQcBbDoZo5hyiXypcPL6lZhQUOca6jY ctZR8wOLuc09+byXmAZns5/4al+5LRkbHUBJ1kPC1KCZDgw+kCvLCRZp0UVYxUv5y1hB hGk1k3NbVwFHgfsw1X9pNfGFjr/50ldC+qix3ZPrQ3QHkooLUTT3yzDBJjxVaY31j8Hq 56WQ== Received: by 10.181.13.131 with SMTP id ey3mr2326153wid.2.1352866532247; Tue, 13 Nov 2012 20:15:32 -0800 (PST) X-BeenThere: lojban@googlegroups.com Received: by 10.180.77.130 with SMTP id s2ls96184wiw.4.gmail; Tue, 13 Nov 2012 20:15:30 -0800 (PST) Received: by 10.216.213.105 with SMTP id z83mr257682weo.5.1352866530736; Tue, 13 Nov 2012 20:15:30 -0800 (PST) Received: by 10.216.213.105 with SMTP id z83mr257681weo.5.1352866530709; Tue, 13 Nov 2012 20:15:30 -0800 (PST) Received: from mail-we0-f178.google.com (mail-we0-f178.google.com [74.125.82.178]) by gmr-mx.google.com with ESMTPS id v1si962181wiw.2.2012.11.13.20.15.29 (version=TLSv1/SSLv3 cipher=OTHER); Tue, 13 Nov 2012 20:15:29 -0800 (PST) Received-SPF: neutral (google.com: 74.125.82.178 is neither permitted nor denied by best guess record for domain of ross@rossogilvie.id.au) client-ip=74.125.82.178; Received: by mail-we0-f178.google.com with SMTP id r3so7486wey.23 for ; Tue, 13 Nov 2012 20:15:29 -0800 (PST) Received: by 10.180.99.5 with SMTP id em5mr23771182wib.8.1352866529716; Tue, 13 Nov 2012 20:15:29 -0800 (PST) MIME-Version: 1.0 Received: by 10.194.89.8 with HTTP; Tue, 13 Nov 2012 20:14:59 -0800 (PST) X-Originating-IP: [129.78.68.1] In-Reply-To: <2101160.d8UGEPtV81@caracal> References: <2101160.d8UGEPtV81@caracal> From: Ross Ogilvie Date: Wed, 14 Nov 2012 15:14:59 +1100 Message-ID: Subject: Re: [lojban] product of a series To: lojban@googlegroups.com X-Gm-Message-State: ALoCoQlzMyD9FxAkSr3dBOzVkn/42VIYy0QrlZRCGSRq1yHgQM6bKL+wC/1HOMU5j8evJXTjStwe X-Original-Sender: ross@rossogilvie.id.au X-Original-Authentication-Results: gmr-mx.google.com; spf=neutral (google.com: 74.125.82.178 is neither permitted nor denied by best guess record for domain of ross@rossogilvie.id.au) smtp.mail=ross@rossogilvie.id.au 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=f46d04182630eea8a604ce6cc8a6 X-Spam-Score: 0.0 (/) X-Spam_score: 0.0 X-Spam_score_int: 0 X-Spam_bar: / --f46d04182630eea8a604ce6cc8a6 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable Or, with regard to http://www.digitalkingdom.org/robin/tiki-index.php?page=3DLojban,+Math,+mek= so,+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 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 vo 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 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 capita= l > > 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 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. --f46d04182630eea8a604ce6cc8a6 Content-Type: text/html; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable Or, with regard to http://www.digitalkingdo= m.org/robin/tiki-index.php?page=3DLojban,+Math,+mekso,+and+bridi+cmaci = , how about rapli pilji ?

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


--
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.
--f46d04182630eea8a604ce6cc8a6--