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 Ï†, 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