AFDO: Difference between revisions

In fact, compositeness has nothing to do with useful intervals. The larger the n the more useful intervals it contains
Formula: conciseness
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<math>\displaystyle r = (n + m)/n</math>
<math>\displaystyle r = (n + m)/n</math>


If the first division is ''r''<sub>0</sub> (which is ratio of (''n'' + 0)/''n'' = 1) and the last, ''r''<sub>''n''</sub> (which is ratio of (''n'' + ''n'')/''n'' = 2), with common difference of ''d'' (which is 1/''n''), we have:  
Alternatively, with common frequency difference ''d'' = 1/''n'', we have:  


<math>
<math>
r_1 = r_0 + d \\
r = 1 + md
r_2 = r_0 + 2d \\
r_3 = r_0 + 3d \\
\vdots \\
r_m = r_0 + md
</math>
</math>
In particular, when ''m'' = 0, ''r'' = 1, and when ''m'' = ''n'', ''r'' = 2.


== Relation to string lengths ==
== Relation to string lengths ==