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Discussion of "fi'au"

Comment #1: Distinction from "se'au"
Curtis W Franks (Mon Apr 2 06:35:41 2018)

The temptation - and indeed the motivation for the "K" notation - is to
just allow the big-operator converter "se'au" act on mau'au fi'u
zai'ai or something (possibly involving summations and erasing default
settings (via zmico)). In particular, the traditional notation is
"K(a/b)".

If summations were involved, it is possible to succeed. However, it is
messy and does not really lend intuition or match the traditional notation.
On the other hand, iterated fractions or external summing of these is
incorrect, meaning that "se'au" does not directly support the traditional
notation. But this notation is clean and simple!

What is really happening is the "a/b" is really a pair of sequences which
mutually interleave so as to produce the extended fraction. This word
essentially preserves the notation (replacing "K(a/b)" with "K((a,b))",
which is easy enough to track) while making it more correct.

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