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[Wikichanges] Wiki page BPFK Section: Syntactic Numbers changed by Ilmen
The page BPFK Section: Syntactic Numbers was changed by Ilmen at 17:31 CEST
Comment: Boxing format
You can view the page by following this link:
http://www.lojban.org/tiki/BPFK%20Section%3A%20Syntactic%20Numbers
You can view a diff back to the previous version by following this link:
http://www.lojban.org/tiki/tiki-pagehistory.php?page=BPFK%20Section%3A%20Syntactic%20Numbers&compare=1&oldver=25&newver=26
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The changes in this version follow below, followed after by the current full page text.
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@@ -Lines: 2-6 changed to +Lines: 2-6 @@
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-
+ {BOX()}
!! cmavo: ce'i (PA3)
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@@ -Lines: 29-32 changed to +Lines: 29-35 @@
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* Doesn't regard digits to the right
+ {BOX}
+
+ {BOX()}
!! cmavo: fi'u (PA3)
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@@ -Lines: 62-66 changed to +Lines: 65-71 @@
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;__fi'u__ (PA3): fraction slash -- digit/number: fraction slash; default "/n" => 1/n, "n/" => n/1, or "/" alone => golden ratio --
** Keywords:
+ {BOX}
+ {BOX()}
!! cmavo: ''ki'o'' (PA3)
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@@ -Lines: 101-105 changed to +Lines: 106-112 @@
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* 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
+ {BOX}
+ {BOX()}
!! cmavo: ma'u (PA3)
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@@ -Lines: 129-132 changed to +Lines: 136-142 @@
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* Needs definition for more than one appearance of "ma'u" and "ni'u"
+ {BOX}
+
+ {BOX()}
!! cmavo: ni'u (PA3)
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@@ -Lines: 156-159 changed to +Lines: 166-172 @@
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* See issues of {ma'u}
+ {BOX}
+
+ {BOX()}
!! cmavo: ''pi'' (PA3)
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None.
+ {BOX}
+
+ {BOX()}
!! cmavo: pi'e (PA3)
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@@ -Lines: 212-215 changed to +Lines: 228-234 @@
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None.
+ {BOX}
+
+ {BOX()}
!! cmavo: ra'e (PA3)
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* Needs definition when there is no digit to the right.
* I suggest {ra'e} without digits to the right to simply indicate that the number's fractional part is infinite. Example: li pai du li ci pi pavopaxa ra'e -- ksion
- ! Notes
+ {BOX}
+ ! Notes
__me'i__ and __za'u__, though officially in PA3, are defined under ((BPFK Section: Inexact Numbers|Inexact Numbers))
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The new page content follows below.
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! Proposed Definitions And Examples
{BOX()}
!! 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
{BOX}
{BOX()}
!! 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:
{BOX}
{BOX()}
!! 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
{BOX}
{BOX()}
!! 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"
{BOX}
{BOX()}
!! 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}
{BOX}
{BOX()}
!! 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.
{BOX}
{BOX()}
!! 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.
{BOX}
{BOX()}
!! 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.
* I suggest {ra'e} without digits to the right to simply indicate that the number's fractional part is infinite. Example: li pai du li ci pi pavopaxa ra'e -- ksion
{BOX}
! Notes
__me'i__ and __za'u__, though officially in PA3, are defined under ((BPFK Section: Inexact Numbers|Inexact Numbers))
! Impact
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