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<div class="moz-text-flowed" style="font-family: -moz-fixed;
font-size: 14px;" lang="x-unicode">Hi All,
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The silence has been deafening since I posted the proof. Wasn't it
easy? I don't think it contains any algebra beyond the sixth-form.
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As a corollary, isn't the order of the false lead equal to the
order of the transposition?
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<br>
Remember, in June, ago I asked about Roncobello Place. This fails
the test the theorem so cannot have extents with l/end calls. You
will remember that the extent was obtained by splicing with
symmetric f/wk version as the 'call'. In the same way, the
half-extent of Grandsire 5 can be considered as a splice with a
symmetric method with p.n. &3.1.5.1.5 There is often more than
one way of thinking of things - especially with Doubles methods.
Whether one or another way is better depends usually on what
you're trying to do.
<br>
<br>
On another matter, there was some discussion about the composition
at p88 of the diary by RRH & DGH - which we now know to be by
David W Beard. Someone disparaged the composition. However, I
believe this disparagement to be mis-guided. The really
interesting thing about the composition is that it is the only one
which has a 'plain non-round 7-lead course' which fits these
(Horton's Four) method groups. I have checked this several times
from my spread-sheet but will do so again. (Remember - calls only
allowed at the course-end.) Like all things, finding the
call-structures is the 'hard' part - fitting the methods is
trivial (comparatively).
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<br>
Best wishes
<br>
R.
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