[99577] in tlhIngan-Hol
Re: [Tlhingan-hol] do any human cultures count like Klingons do?
daemon@ATHENA.MIT.EDU (lojmitti7wi7nuv@gmail.com)
Wed Oct 1 12:54:54 2014
From: lojmitti7wi7nuv@gmail.com
In-Reply-To: <CA+7zAmPGpyoAKMC4UV69w0kAqrFUMP_0jPM6AZAdOUZ1yHSWdw@mail.gmail.com>
Date: Wed, 1 Oct 2014 12:54:38 -0400
To: De'vID <de.vid.jonpin@gmail.com>
Cc: tlhIngan-Hol <tlhingan-hol@kli.org>
Errors-To: tlhingan-hol-bounces@kli.org
noHma' mI'mey DayajlaH 'ej DaQIjlaH, bIquv'eghmoH.
jIchID:
HevamDaq bIqetchoHDI' qatlhej. Hevam vIghoS je. jIqetchoH je.
ghIq bIqettaH, 'ej loQ jIqettaHbe'. jIyItchoH neH.
ghIq bIqettaH 'ej jImev. bIHoptaHvIS bIqettaH 'e' vIleghlaH. He DopDaq jIba' 'ej jItlhuHqa'chu'meH jIleS.
qatlhejbe'taHvIS bIDojbej.
On Oct 1, 2014, at 10:40 AM, De'vID <de.vid.jonpin@gmail.com> wrote:
> De'vID:
>>> The difference becomes more apparently for "larger" numbers: decimal
>>> 18 would be written "200" in base 3, but "123" in 3-adic notation.
>>> Decimal 33 is "1020" in base 3, but "313" in 3-adic notation.
>
> DloraH:
>> It becomes even more apparent when working to the right of a decimal point. (Is it still called a
>> "decimal" point when used in a non-base 10 system?)
>
> "radix point" ponglu'.
>
> DloraH:
>> Where pi is 3 and some fraction, after borrowing back to fill in those zero place holders, the value
>> of pi in Klingon/3-adic ends up being:
>> 2.233133312221233133231333333222
>>
>> base 3:
>> 10.010211012222010211002111110222
>>
>> 3.3333... decimal becomes 3.1 3-adic. (10.1 base-3)
>> But then 3.4 decimal, which is more than 3.3333... becomes 2.33121 (10.10121 base-3) because of
>> that 0 in the "nineths" position.
>
> nIbbe'chugh pagh mI' je, not mI'vam 'ay'vaD "0" ghItlhlu'.
>
> DloraH:
>> Is there another way to handle such numbers?
>
> HIja'. 'ach Qatlh QIjmeH mIw: http://en.wikipedia.org/wiki/Quote_notation
>
> Interesting that such a system requires two place symbols (the radix
> point and quote mark), and we know Klingon writing uses upper and
> lower triangle punctuation, so that's a good match.
>
> 0 (b10) = 2'3 (3-adic) (note that you never need a symbol for "0" in
> such a system)
> -1 (b10) = 2' (3-adic)
> -2 (b10) = 2'1 (3-adic)
> -3 (b10) = 2'13 (3-adic)
> -4 (b10) = 2'12 (3-adic)
> -5 (b10) = 2'11 (3-adic)
> ... to quote TKD, "and then it got complicated."
>
> 1/2 (b10) = 1'2 (3-adic)
> 1/4 (b10) = 13'21 (3-adic)
> 1/8 (b10) = 12'2 (3-adic)
>
> You can verify these fractions by multiplying by their inverse to get
> 2'31 = 1 (since 2'3 = 0).
>
> DloraH:
>> Would a Klingon be forced to use fractions instead?
>
> ghobe'. 'ach fractions lo'laHbej je.
>
> DloraH:
>> What happens with numbers less than 1 where there is nothing to borrow from to fill those spaces?
>> .4 (b10) -> .10121 (b3) -> ?.?3121 (3-adic)
>
> jIQaghbe'pu'chugh:
> 0.2 (b10) = 1133'2
> 0.4 (b10) = 1133'1211
>
> Again, you can verify by multiplying by 5 to get 1 and 2, respectively.
>
> DloraH:
>> chaq tlhIngan Hol vIlo'nIS. tlhIngan Hol wIlo'taHvIS, chay' [base-n] wI'oS? chay' [adic] wI'oS?
>> [place holder] Del nuq?
>
> jISovbe'.
>
> --
> De'vID
>
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