| The Logical Language Group Online Dictionary Query |
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From Lojban to English :
Word: fau'au [jbovlaste]
Type: experimental cmavo (YOU RISK BEING MISUNDERSTOOD IF YOU USE THIS WORD)
Gloss Word: function map writer notation in the sense of "two-tier"
Gloss Word: assignment writer notation in the sense of "two-tier"
selma'o: JAhOI
Definition: two-tier function map/assignment writer notation: X1 (ordered
list, no repetitious terms) maps termwise-respectively to X2
(ordered list; may be repetitious but must have exactly as many
terms as X1)
Notes: So named because, in mathematical notation, the domain set of
the function is written down in some order in its entirety and
then, below it, the range of the function is written so that
each image and preimage line up vertically with their
appropriate/respective partner. Really useful when mapping from
a countable set/object that is either human-small or in which
the pattern is clear. Occasionally used for a more explicit
form of notation for permutations (in which cycle decomposition
is not necessarily as evident, but the structure as a how is,
at least, explicit). The ith term of X1 is mapped to the ith
term of X2; there is no knowledge of what happens to any value
that is not term of list X1. Useful for lambda calculus.