 Home
 Get A Printable Dictionary
 Search Best Words
 Recent Changes
 How You Can Help
 valsi  All
 valsi  Preferred Only
 natlang  All
 natlang  Preferred Only
 Languages
 XML Export
 user Listing
 Report Bugs
 Utilities
 Status
 Help
 Admin Request
 Create Account

valsi 
pau'au 
type 
experimental 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_{x2}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




