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Dictionary record
This is a "best guess" listing for the word "pau'au"
in
language English,
meaning that only one of
the definitions for this word will be shown
(the one with the
highest total votes).
See all the definitions for
pau'au.

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valsi listing.

valsi 
pau'au 
type 
cmavo 
creator 
krtisfranks 
time entered 
Thu Oct 27 04:13:15 2022 
Examples


English


Definition #73015
 Preferred
[edit]


selma'o 
VUhU3 
definition 
ternary mekso operator: padic valuation; outputs (positive) infinity if x_{1} = 0 and, else, outputs sup(Set(k : k is a nonnegative integer, and
((1  x_{3})x_{2} + x_{3}p_{x2})^{k} divides x_{1})), where p_{n} is the nth prime (such that p_{1} = 2).

notes 
The terbri order here was defined in analogy to "de'o". Normally, x_{1} should be a rational number, and x_{2} should be a positive integer; some generalizations may be possible, though. x_{3} is either 0 xor 1, and indicates/toggles between modes: x_{3} = 0 yields the x_{2}adic valuation (even for nonprime x_{2}); x_{3} = 1 yields the p_{}x_{2}adic valuation.
x_{2} = 1, x_{3} = 0 yields positive infinity for any x_{1} which is within the domain. If x_{1} = n/m and is a rational noninteger number such that gcd(n, m) = 1, then pau'au
(x_{1}, x_{2}, x_{3}) = pau'au
(n, x_{2}, x_{3})  pau'au
(m, x_{2}, x_{3}). See also: "fei'i", "pi'ei'oi". This word is often equivalent to or closely related to "pei'e'a" (which is, in some ways, more general but also is less flexible with respect to its input).

gloss words 

created by 
krtisfranks 
vote information 
1

time 
Thu Oct 27 05:51:43 2022 



Examples




