How technical are gismu?

[Romaji ####]

I'm trying to express the existence theorem for first order linear differential equations, and to do this, I have to express the "open" rectangle, which is a rectangle without it's very edge (so a point as close as you wish to the limit of the rectangle is inside, but the limit of the rectangle itself isn't)

Would {kurfa na korbi} express this?

[Pierre Abbat]

{kurfa na korbi} is ungrammatical (but prefixing an article makes it
grammatical). How about {kortolvau clakurfa}?

Pierre
--
li ze te'a ci vu'u ci bi'e te'a mu du
li ci su'i ze te'a mu bi'e vu'u ci

[Romaji ####]

two questions

1. does that show the precise mathematical concept as a sumti?
2. How would that be broken down in English? Or with split lujivo?

[Pierre Abbat]

On Tuesday, September 30, 2014 05:12:29 Romaji #### wrote:
> two questions
>
> 1. does that show the precise mathematical concept as a sumti?
> 2. How would that be broken down in English? Or with split lujivo?

It's a selbri. To get a sumti, precede it with an article.

{kortolvau} is a lujvo of {korbi to'e vasru}, "boundary opposite-of
containing". Substituting the other members of NAhE or zero we get:
korvau: x1 is closed
korbi zei je'a zei vasru ({je'a} has no rafsi): x1 is indeed closed
kornalvau: x1 is not closed
kornorvau: x1 is neither closed nor open
and there are two experimental cmavo in the selma'o, which I'll ignore. This
leaves "not open" and "clopen", which are {na'e kortolvau} and, I guess, {to'e
kornorvau}. Another possibility for "clopen" is {korcau}, "lacking a
boundary". Sets that consist entirely of boundary, such as the Julia set of i,
could be called {nercau}.

Pierre
--
Don't buy a French car in Holland. It may be a citroen.

[Romaji ####]

Still confused about what {clakufa} is.

So, I'm going to try to construct the first sentence of the theory, which is "Let R be an open rectangle centered at (a,b) with length L  and height H in which f(x,y) is smooth."

I believe {va'o} would be useful here, but the definition doesn't make a lot of sense to me

[Pierre Abbat]

On Tuesday, September 30, 2014 09:48:24 Romaji #### wrote:
> Still confused about what {clakufa} is.
> So, I'm going to try to construct the first sentence of the theory, which
> is "Let R be an open rectangle centered at (a,b) with length L and height
> H in which f(x,y) is smooth."
> I believe {va'o} would be useful here, but the definition doesn't make a
> lot of sense to me

{clakurfa} is a lujvo from {clani kurfa}. Length and height are a bit
problematic, since the Lojban words for dimensions {clani ce'o ganra ce'o
rotsu} are in order of magnitude, irrespective of orientation. I think there
ought to be a set of words for dimensions by orientation.

Translate the sentence and let us look at it.

Pierre
--
I believe in Yellow when I'm in Sweden and in Black when I'm in Wales.

[Romaji ####]

Uh... I don't believe I'm ready to translate that.

I'm only beginning.

Also, why say it's a long square/rectangle, when the dimensions are arbitrary, so it might be tall, or it might be even a square?

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[Pierre Abbat]

On Tuesday, September 30, 2014 20:57:15 Romaji #### wrote:
> Uh... I don't believe I'm ready to translate that.
> I'm only beginning.
> Also, why say it's a long square/rectangle, when the dimensions are
> arbitrary, so it might be tall, or it might be even a square?

{clani} covers both "tall" and "long". {clakurfa}, which has only a noralujv
definition, is glossed as "rectangle". Rectangles include squares, in
mathematical terminology, and I see no need to change that when talking about
math in Lojban.

Pierre
--
sei do'anai mi'a djuno puze'e noroi nalselganse srera

[Romaji ####]

Ah. So a square is a kind of "long square". got it.

Still not ready to formulate that first sentence yet.

[MorphemeAddict]

No, the long 'square' would be a non-square rectangle. Rectangles have four equal (90 degree) angles, regardless of length of the sides. If the sides happen to all be the same length, then the rectangle is also a square. 

stevo

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[Romaji ####]

The question I had was if {clakurfa} covered the case where the rectangle is actually a square.

Does what you said mean that I am right to think that?