In what sense are limsup/liminf jimte? They are not bounds for the entire sequence (consider 1,0,0,0..., which has limsup 0), and are not necessarily bounds for an infinite tail of the sequence either (consider any strictly monotone sequence).
mu'o mi'e la latro'aOn Sat, Dec 1, 2012 at 10:43 PM, Pierre Abbat <phma@bezitopo.org> wrote:
On Thursday, November 29, 2012 09:51:09 Michael Turniansky wrote:I think that the place structure of the word for "limit" should be "x1 is the
> Actually, I never heard of the "limit superior" and "limit inferior"
> before. I had only heard of the other, and I understand that it may cross
> it several times. But that doesn't change the fact that it gets
> progressively closer to it, and it ultimately serves as a extreme in that
> sense. OTOH, I proposed a lujvo, and a jargon one at that, so it can have
> any meaning attached to it we want.
limit of x2 approaching x3 in direction x4". And I still think it is not a
jimte, and agree that the limits inferior and superior are jimte.
As to jargon, math terminology is more apt to be used outside the jargon field
than, say, Pokemon terminology, so we should be more careful not to make math
terms polysemous. The fact that natlangs use such terms as "ring" and "filter"
in math to mean something completely different from the ordinary meaning should
not excuse us doing the same in Lojban.
Pierre
--
The Black Garden on the Mountain is not on the Black Mountain.
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