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        Word: pau'au [jbovlaste]
        Type: experimental cmavo (YOU RISK BEING MISUNDERSTOOD IF YOU USE THIS WORD)
  Gloss Word: integer exponent
  Gloss Word: p-adic order
  Gloss Word: p-adic valuation
  Gloss Word: prime-logarithm
  Gloss Word: exponent of factors
  Gloss Word: maximum exponent of factor
     selma'o: VUhU3
  Definition: ternary mekso operator: p-adic valuation; outputs (positive)
       infinity if $x_1 = 0$ and, else, outputs sup$($Set($k: k$ is a
       nonnegative integer, and $((1 - x_3)x_2 + x_3 p_x_2)^k$
       divides $x_1))$, where $p_n$ is the $n$th prime (such that $p_1
       = 2$).
       Notes: The terbri order here was defined in analogy to "de'o".
       Normally, x1 should be a rational number, and x2 should be a
       positive integer; some generalizations may be possible, though.
       x3 is either $0$ xor $1$, and indicates/toggles between modes:
       $x_3 = 0$ yields the x2-adic valuation (even for nonprime x2);
       $x_3 = 1$ yields the $p_x_2$-adic valuation. $x_2 = 1, x_3 =
       0$ yields positive infinity for any x1 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).