product of a series

27 views
Skip to first unread message

MorphemeAddict

unread,
Nov 13, 2012, 9:50:30 PM11/13/12
to loj...@googlegroups.com
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

Pierre Abbat

unread,
Nov 13, 2012, 10:23:12 PM11/13/12
to loj...@googlegroups.com
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.

Ross Ogilvie

unread,
Nov 13, 2012, 11:14:59 PM11/13/12
to loj...@googlegroups.com
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


--
You received this message because you are subscribed to the Google Groups "lojban" group.
To post to this group, send email to loj...@googlegroups.com.
To unsubscribe from this group, send email to lojban+un...@googlegroups.com.
For more options, visit this group at http://groups.google.com/group/lojban?hl=en.


MorphemeAddict

unread,
Nov 14, 2012, 9:34:58 AM11/14/12
to loj...@googlegroups.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
Reply all
Reply to author
Forward
0 new messages