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MorphemeAddict  
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 More options Nov 13 2012, 9:51 pm
From: MorphemeAddict <lytl...@gmail.com>
Date: Tue, 13 Nov 2012 21:50:30 -0500
Local: Tues, Nov 13 2012 9:50 pm
Subject: product of a series

What is the Lojban word for product of a series, symbolized by a capital
pi? It would be analogous to this word for summation:

si'i (VUhU4) = sigma summation trinary mathematical operator: [sigma
summation of a using variable b over range c]

stevo


 
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Pierre Abbat  
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 More options Nov 13 2012, 10:23 pm
From: Pierre Abbat <p...@bezitopo.org>
Date: Tue, 13 Nov 2012 22:23:12 -0500
Local: Tues, Nov 13 2012 10:23 pm
Subject: Re: [lojban] product of a series

On Tuesday, November 13, 2012 21:50:30 MorphemeAddict wrote:
> What is the Lojban word for product of a series, symbolized by a capital
> pi? It would be analogous to this word for summation:

> si'i (VUhU4) = 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.
Já não percebe nada, já não percebe nada.


 
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Ross Ogilvie  
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 More options Nov 13 2012, 11:15 pm
From: Ross Ogilvie <r...@rossogilvie.id.au>
Date: Wed, 14 Nov 2012 15:14:59 +1100
Local: Tues, Nov 13 2012 11:14 pm
Subject: Re: [lojban] product of a series

Or, with regard to
http://www.digitalkingdom.org/robin/tiki-index.php?page=Lojban,+Math,...,
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 = \Pi_{n=1}^\infty \frac{4n^2}{4n^2 -1}

Yeah, maths in lojban is kinda a mess.

-- Ross

On 14 November 2012 14:23, Pierre Abbat <p...@bezitopo.org> wrote:


 
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MorphemeAddict  
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 More options Nov 14 2012, 9:35 am
From: MorphemeAddict <lytl...@gmail.com>
Date: Wed, 14 Nov 2012 09:34:58 -0500
Local: Wed, Nov 14 2012 9:34 am
Subject: Re: [lojban] product of a series

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 <r...@rossogilvie.id.au>wrote:


 
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