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lojbau mekso: Mathematical Expressions in Lojban
The Lojban Reference Grammar |
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So far our examples have been isolated mekso (it is legal to have a bare mekso as a sentence in Lojban) and equation bridi involving ``du''. What about inequalities such as ``x < 5''? The answer is to use a bridi with an appropriate selbri, thus:
7.1) li xy. mleca li mu
the-number x is-less-than the-number 5
Here is a partial list of selbri useful in mathematical bridi:
du x1 is identical to x2, x3, x4, ...
dunli x1 is equal/congruent to x2 in/on
property/quality/dimension/quantity x3
mleca x1 is less than x2
zmadu x1 is greater than x2
dubjavme'a x1 is less than or equal to x2
[du ja mleca, equal or less]
dubjavmau x1 is greater than or equal to x2
[du ja zmadu, equal or greater]
tamdu'i x1 is similar to x2
[tarmi dunli, shape-equal]
turdu'i x1 is isomorphic to x2
[stura dunli, structure-equal]
cmima x1 is a member of set x2
gripau x1 is a subset of set x2
[girzu pagbu, set-part]
na'ujbi x1 is approximately equal to
[namcu jibni, number-near]
terci'e x1 is a component with function x2
of system x3
Note the difference between ``dunli'' and ``du''; ``dunli'' has
a third place that specifies the kind of equality that is
meant. ``du'' refers to actual identity, and can have any
number of places:
7.2) py. du xy.boi zy.
``p'' is-identical-to ``x'' ``z''
p = x = z
Lojban bridi can have only one predicate, so the ``du'' is not repeated.
Any of these selbri may usefully be prefixed with ``na'', the contradictory negation cmavo, to indicate that the relation is false:
7.3) li re su'i re na du li mu
the-number 2 + 2 is-not equal-to the-number 5.
2 + 2 ½ 5
As usual in Lojban, negated bridi say what is false, and do not say anything about what might be true.
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Previous
Forethought operators (Polish notation, functions) |
lojbau mekso: Mathematical Expressions in Lojban
The Lojban Reference Grammar |
Next
Indefinite numbers |