BPFK Section: Syntactic Numbers: Difference between revisions

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{{BPFK Section from tiki|BPFK Section: Syntactic Numbers|32}}
== Proposed Definitions And Examples ==




To edit a Wiki page, you first need to log in.  See [[jbocre: Signing Up And Logging In|Signing Up And Logging In]] for more information.
{{BPFK Section box open}}
=== cmavo: ce'i (PA3) ===


You should then see a tab that says "Edit", either just below the page title or at the very bottom of the page, depending on what theme you are using.  Click that to enter the editing interface.
==== Proposed Definition ====
Percentage. Expresses a fraction of 100 with the digits to the left as the numerator.
==== Proposed Tag ====


You should be able to mostly just type whatever you want, but if you want to do anything complicated, either click the tab in the editing screen that says "Wiki Quick Help", or read [http://doc.tikiwiki.org/tiki-index.php?page=Wiki+Page+Editor iki Page Editor] for more information.  The Wiki Quick Help is often a bit more up to date, however.  Note that paragraphs are seperated by blank lines, so you can hit return (once) anywhere you like.
==== See Also ====
* {fi'u}


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==== Proposed Keywords ====
* percent


As a stylistic note, since '''this''' Wiki is meant for content related to [[jbocre: Lojban Description|Lojban Description]], and [[jbocre: Lojban Description|Lojban Description]] makes very little use of capital letters, and in fact tends to look ugly if you capitalize it, we require the use of double parentheses, ~np~[[jbocre: | ]]~/np~, around links, rather than [http://tikiwiki.org/tiki-index.php?page=WikiWord ikiWords].
==== Usage Examples ====
;li pa no no no ce'i du li pa no: ''1000% is 10''


To create a new page, just link to it from another page.
==== Notes ====


If you do a lot of editing, you might find the quick edit module convenient; this allows you to create a page without having to link it from another page.  Go to MyTiki -> Modules to set it up.
* ksion says "ce'i" is basically "pi'i vei fi'u cinono ve'o"


If you do a lot of editing, you may want to sign up for the WikiDiscuss list, which causes anything anyone says in a "discuss" tab to be mailed to you. See [[jbocre: Tiki Features And Information|Tiki Features And Information]].
==== Issues ====
 
* CLL doesn't define "ce'i" in prose
 
* Doesn't regard digits to the right
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{{BPFK Section box open}}
=== 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.
 
==== Proposed Tag ====
 
==== 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.
 
{{BPFK Section box close}}
 
{{BPFK Section box open}}
=== 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
{{BPFK Section box close}}
 
{{BPFK Section box open}}
=== 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"
{{BPFK Section box close}}
 
{{BPFK Section box open}}
=== 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}
{{BPFK Section box close}}
 
{{BPFK Section box open}}
=== 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.
{{BPFK Section box close}}
 
{{BPFK Section box open}}
=== 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.
{{BPFK Section box close}}
 
{{BPFK Section box open}}
=== 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
{{BPFK Section box close}}
 
== Notes ==
'''me'i''' and '''za'u''', though officially in PA3, are defined under [[BPFK Section: Inexact Numbers|Inexact Numbers]]
 
== Impact ==
 
[[Category:BPFK Sections including selma'o PA|S]]

Latest revision as of 23:46, 3 April 2020

This page is imported from version 32 of the page BPFK Section: Syntactic Numbers from the lojban Tiki.

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.

Proposed Tag

See Also

  • {fi'u}

Proposed Keywords

  • percent

Usage Examples

li pa no no no ce'i du li 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.

Proposed Tag

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.



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.
  • 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

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

Impact

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