Re: [lojban] product of a series

[MorphemeAddict <lytlesw@gmail.com>]

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 <ross@rossogilvie.id.au> wrote:

Or, with regard to http://www.digitalkingdom.org/robin/tiki-index.php?page=Lojban,+Math,+mekso,+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 = \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 <phma@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 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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