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lojbau mekso: Mathematical Expressions in Lojban
The Lojban Reference Grammar |
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The following cmavo are discussed in this section:
ma'u PA positive sign
ni'u PA negative sign
pi PA decimal point
fi'u PA fraction slash
ra'e PA repeating decimal
ce'i PA percent sign
ki'o PA comma between digits
A number can be given an explicit sign by the use of ``ma'u''
and ``ni'u'', which are the positive and negative signs as
distinct from the addition, subtraction, and negation
operators. For example:
3.1) ni'u pa
negative-sign 1
-1
Grammatically, the signs are part of the number to which they
are attached. It is also possible to use ``ma'u'' and ``ni'u''
by themselves as numbers; the meaning of these numbers is
explained in Section 8.
Various numerical punctuation marks are likewise expressed by cmavo, as illustrated in the following examples:
3.2) ci pi pa vo pa mu
three point one four one five
3.1415
(In some cultures, a comma is used instead of a period in the
symbolic version of Example 3.2; ``pi'' is
still the Lojban representation for the decimal point.)
3.3) re fi'u ze
two fraction seven
2/7
Example 3.3 is the name of the number
two-sevenths; it is not the same as ``the result of 2 divided
by 7'' in Lojban, although numerically these two are equal. If
the denominator of the fraction is present but the numerator is
not, the numerator is taken to be 1, thus expressing the
reciprocal of the following number:
3.4) fi'u ze
fraction seven
1/7
3.5) pi ci mu ra'e pa vo re bi mu ze
point three five repeating one four two eight five seven
.35142857142857...
Note that the ``ra'e'' marks unambiguously where the repeating
portion ``142857'' begins.
3.6) ci mu ce'i
three five percent
35%
3.7) pa ki'o re ci vo ki'o mu xa ze
one comma two three four comma five six seven
1,234,567
(In some cultures, spaces are used in the symbolic
representation of Example 3.7; ``ki'o'' is
still the Lojban representation.)
It is also possible to have less than three digits between successive ``ki'o''s, in which case zeros are assumed to have been elided:
3.8) pa ki'o re ci ki'o vo
one comma two three comma four
1,023,004
In the same way, ``ki'o'' can be used after ``pi'' to divide fractions into groups of three:
3.9) pi ki'o re re
point comma two two
.022
3.10) pi pa ki'o pa re ki'o pa
point one comma one two comma one
.101012001
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Previous
Lojban numbers |
lojbau mekso: Mathematical Expressions in Lojban
The Lojban Reference Grammar |
Next
Special numbers |