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<Paper uid="W97-1101">
  <Title>New Zealand</Title>
  <Section position="8" start_page="3" end_page="3" type="evalu">
    <SectionTitle>
6 Results
</SectionTitle>
    <Paragraph position="0"> The results of our analysis are given in Tables 1 (for canonical PFSA) and 2 (for reduced PFSA). Row 1 represents PFSA which have only diachronic detail in them and Row 2 represents PFSA which do not distinguish between diachronic and allophonic detail. Column 1 represents the MML of the PFSA derived for Modern Cantonese and and column 2 represents the MML of PFSA for Modern Beijing. As mentioned in Section 3, smaller values of the MML reflect a greater regularity in the structure.</Paragraph>
    <Paragraph position="1">  Chinese to Modern Cantonese and Modern Beijing respectively The canonical PFSA are too large and complex to be printed on ~4 paper using viewable type. However, it is possible to trim off some of the low frequency arcs froria the reduced PFSA to alleviate the problem of presenting them graphically. Thus the reduced PFSA for Modern Beijing and Modern Cantonese are presented in Figures 1 and 2 at the end of this paper, but arcs with a frequency less than 10 have been pruned from them. Since several arcs have been pruned, the PFSA may not make complete sense as some nodes may have outgoing transitions without incoming ones and vice-versa. There is further a small amount of overprinting. They are solely for the purposes of visualisation of the endresults and not meant to serve any other useful purpose. The arc frequencies are indicated in superscript font above the symbol, except when there is more than one symbol on an arc, in which case the frequencies are denoted by the superscript marker ..... Exclamation marks (&amp;quot;!&amp;quot;) indicate arcs on delimiter symbols to state 0 from the state they superscript. Their superscripts represent the frequency. Superficially, the PFSA may seem to resemble the graphical representation of the Relative Chronologies in Chen76 and CN84, but in fact they are more significant. They represent the actual sequences of rules used in deriving the forms rather than just the ordering relation among them. The frequencies on the arcs also give an idea of how many times a particular rule was applied to a word at a certain stage of its derivation process. Certain rules that rarely apply may not show up in the diagram, but that is because arcs representing them have been pruned.</Paragraph>
    <Paragraph position="2"> The MML computation process, however, accounted for those as well.</Paragraph>
    <Paragraph position="3"> The complete data corpus, an explanation of the various exceptions to rules and the programs for constructing and reducing PFSA are available from the authors.</Paragraph>
  </Section>
class="xml-element"></Paper>
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