History: BPFK Section: Syntactic Numbers

Preview of version: 24

Proposed Definitions And Examples



cmavo: ce'i (PA3)

Proposed Definition

Percentage
expresses a fraction of 100 with the digits to the left as the numerator

  • Meaning of digits to the right is yet to be defined

Proposed Tag

See Also

  • {fi'u}

Proposed Keywords

  • percent

Usage Examples

pa no no no ce'i du pa no
"1000% is 10"

Notes

  • ksion says "ce'i" is basically "pi'i vei fi'u cinono ve'o"

Issues

  • CLL doesn't define "ce'i" in prose

  • Doesn't regard digits to the right

cmavo: fi'u (PA3)

Proposed Definition

A digit representing both the fraction slash, when modifying other digits, and the golden ratio, when on its own.

When used between two digit strings m and n, it makes the entire number a fraction m/n. When used in front of a digit string m, it makes the entire number a fraction 1/m. When used after a digit string m, it makes the entire number string a fraction m/1.

When used on its own, it represents the golden ratio φ, a mathematical constant equal to half of the sum of one and the square root of five, or approximately 1.618033.

See Also

  • {ra'e}
  • {pa}
  • {pai}

Proposed Keywords

  • fraction bar
  • golden ratio

Usage Examples

fi'ure lo vovo gerku vi bajra
"Half of the 44 dogs run here."
li fi'uze du li cifi'uze pi'i fi'uci
"1/7 is equal to 3/7 times 1/3."
li fi'u minso namcu
"The golden ratio is a famous number."

Notes

None.

Issues

None.

Proposed Definition of fi'u

fi'u (PA3)
fraction slash — digit/number: fraction slash; default "/n" => 1/n, "n/" => n/1, or "/" alone => golden ratio --
    • Keywords:

cmavo: ki'o (PA3)

Proposed Definition

Thousands seperator
partitions a decimal number into groups of 3 digits.


When there are less than 3 digits following a ki'o, replace the ki'o with enough {no} to have 3 digits in total.

Expansion formulae:

Integral part (left of the decimal point)
"A ki'o B" is A*1000 + B
Fractional part (right of the decimal point)
"pi A ki'o B" needs to be defined

Proposed Tag

See Also

  • {pi}
  • {kilto}

Proposed Keywords

  • Thousands seperator

Usage Examples

pa ki'o recivo ki'o muxaze
((1*1000) + 234) * 1000 + 567 = 1234567

Notes

  • Some cultures use a dot as the decimal point, and a comma or a space as the thousands seperator. Other cultures use the comma as the decimal point, and a dot or a space as the thousands seperator. {ki'o} is always the thousands seperator, and {pi} is always the decimal point (or the radix point in other number bases).

Issues

  • CLL chapter 18, example 3.10 looks like an error: there are only 3 "pa" and 3 "one", yet 4 "1"

  • Needs definition for usage in fractional part

  • Needs definition for more than 3 following PA1s
    • camxes and jbofihe accept "ki'o papapapa"

  • kribacr proposes adapting "ki'o" for non-decimal bases, with integral formula "ve'o A ki'o B vei ju'u C" = A*C^3 + B

cmavo: ma'u (PA3)

Proposed Definition

Positive sign
(together with other digits) this number is positive.
Positive number
(standing alone) this is an unspecified positive number.

Proposed Tag

See Also

  • {ni'u}

Proposed Keywords

  • positive
  • positive sign
  • positive number

Usage Examples

li ma'u ci du li mu vu'u re
"+3 equals 5 minus 2"
ma'u bridi cu cusku
"a positive number of predications is expressed"

Notes


None.

Issues

  • Needs definition for more than one appearance of "ma'u" and "ni'u"

cmavo: ni'u (PA3)

Proposed Definition

Negative sign
(together with other digits) this number is negative.
Negative number
(standing alone) this is an unspecified negative number.

Proposed Tag

See Also

  • {ma'u}

Proposed Keywords

  • negative
  • negative sign
  • negative number

Usage Examples

li ni'u ci du li re vu'u mu
"-3 equals 2 minus 5"
mi ponse ni'u rupnu
"I have a negative amount of money" (i.e. in debt)

Notes


None.

Issues

  • See issues of {ma'u}

cmavo: pi (PA3)

Proposed Definition

Radix point
partitions a number into an integral part (to the left of the point) and fractional part (to the right of the point)

Proposed Tag

See Also

  • {ki'o}
  • {pi'e}

Proposed Keywords

  • Radix point
  • Decimal point (when used in a base-10 number)

Usage Examples

li no pi mu
0.5
li vai pi rei ju'u vai
0xF.E

Notes

  • See notes for {ki'o}.

Issues


None.

cmavo: pi'e (PA3)

Proposed Definition

Compound base separator
partitions a number into parts of different bases

Proposed Tag

See Also

  • {pi}
  • {ju'u}

Proposed Keywords

  • dot (chapter/section seperator)
  • slash (date seperator)
  • dash (date seperator)
  • colon (time seperator)

Usage Examples

li no pi'e bi pi'e pare cu tcika la'e di'u li renopano pi'e bi pi'e xa
"It happened at 00:08:12 on 2010-08-06"
zo pi'e cu se pilno le pabi pi'e pano moi terfendi
"the word "pi'e" is used in Section 18.10"

Notes

  • The bases and meanings of each part depend on context. Arithmetics on compound-base numbers is also defined by context.

  • Each digit for bases larger than 16 can be expressed using more than one PA, which are then delimited by {pi'e}.

Issues


None.

cmavo: ra'e (PA3)

Proposed Definition

Repeating decimal
digits to the right repeat indefinitely

Proposed Tag

See Also

  • {fi'u}

Proposed Keywords

  • repeating

Usage Examples

li pa fi'u ci du li pi ra'e ci
"1/3 equals 0.(3)"
li ze fi'u pare du li pi mu bi ra'e ci
"7/12 equals 0.58(3)"
li pa fi'u ze du li pi ra'e pavorebimuze
"1/7 equals 0.(142857)"

Notes

  • Should only be used in the fractional part

Issues

  • Needs definition when there is no digit to the right.

Notes


me'i and za'u, though officially in PA3, are defined under Inexact Numbers

Impact



History

Information Version
Thu 21 of Aug, 2014 13:56 GMT Ilmen from 95.210.209.219 Erasing the remnants of the previous and sketchy definition. 32
Thu 21 of Aug, 2014 13:55 GMT Ilmen from 95.210.209.219 Template 31
Sat 14 of Jun, 2014 17:05 GMT selpa'i from 93.220.111.59 30
Sat 14 of Jun, 2014 17:03 GMT selpa'i from 93.220.111.59 29
Sun 08 of Jun, 2014 19:14 GMT mukti from 216.194.27.154 28
Fri 06 of Jun, 2014 15:34 GMT Ilmen from 213.180.252.213 Minor edit 27
Fri 06 of Jun, 2014 15:31 GMT Ilmen from 213.180.252.213 Boxing format 26
Fri 15 of Oct, 2010 11:45 GMT Xion from 217.67.198.101 Added a proposed interpretation of {ra'e} 25
Thu 05 of Aug, 2010 17:44 GMT lazni from 123.24.99.212 missing the key word 24
Thu 05 of Aug, 2010 17:41 GMT lazni from 123.24.99.212 ra'e 23
Thu 05 of Aug, 2010 17:27 GMT lazni from 123.24.99.212 pi'e 22
Thu 05 of Aug, 2010 17:05 GMT lazni from 123.24.99.212 ni'u 21
Thu 05 of Aug, 2010 17:02 GMT lazni from 123.24.99.212 ma'u 20
Thu 05 of Aug, 2010 00:22 GMT lazni from 113.190.79.191 should not use {} recklessly 19
Thu 05 of Aug, 2010 00:16 GMT lazni from 113.190.79.191 pi: don't duplicate the cultural note 18
Wed 04 of Aug, 2010 22:11 GMT lazni from 113.190.79.191 says right digits are undefined 17
Wed 04 of Aug, 2010 22:07 GMT lazni from 113.190.79.191 fix example 16
Wed 04 of Aug, 2010 22:06 GMT lazni from 113.190.79.191 right digits issue 15
Wed 04 of Aug, 2010 22:04 GMT lazni from 113.190.79.191 ce'i 14
Wed 04 of Aug, 2010 21:48 GMT lazni from 113.190.79.191 remove old template's section 13
Wed 04 of Aug, 2010 21:46 GMT lazni from 113.190.79.191 pi: def, keywords, examples, note 12
Wed 04 of Aug, 2010 21:17 GMT lazni from 113.190.79.191 remove old template's section 11
Wed 04 of Aug, 2010 21:11 GMT lazni from 113.190.79.191 missing paren 10
Wed 04 of Aug, 2010 21:09 GMT lazni from 113.190.79.191 remove old template's section 9
Wed 04 of Aug, 2010 21:09 GMT lazni from 113.190.79.191 kribacr's proposal 8
Wed 04 of Aug, 2010 20:53 GMT lazni from 113.190.79.191 7
Wed 04 of Aug, 2010 20:47 GMT lazni from 113.190.79.191 ki'o: note cultural representations 6
Wed 04 of Aug, 2010 20:42 GMT lazni from 113.190.79.191 ki'o: use template; define integral part; issues; ksion's example 5
Wed 04 of Aug, 2010 19:03 GMT lazni from 113.190.79.191 the number disagrees with the lojban 4
Sat 17 of Apr, 2010 17:46 GMT xorxes from 201.253.86.169 3
Sat 17 of Apr, 2010 17:40 GMT symuyn from 150.135.210.16 2
Wed 17 of Nov, 2004 02:42 GMT rlpowell from 64.81.49.171 1