[r-t] Poll on consecutive blows in the same position
Alexander Holroyd
holroyd at math.ubc.ca
Mon Dec 29 00:25:33 UTC 2014
On Mon, 29 Dec 2014, Matthew Frye wrote:
>> how is a dixonoid not a finite sequence of place notations?
>
> If differs in conception and (usual) description. Dixon's Bob would
> usually be described by a set of rules, not a sequence of place
> notation.
I really don't understand the distinction. A sequence of place notations
can be described in many different ways, but it is still the same
sequence.
Perhaps the related concept of composition would be illuminating here.
The standard 3-part extent of Cmabridge minor can be described in many
different ways, among them: Wrong Home Wrong ; 3 5 3 ; pp-p-pp-pp.
Perhaps the first is "observation-based", etc. But they are all the same
composition, surely? A band whose conductor who thinks of it in the
observation-based way is surely not ringing a different extent from the
others?
> I would define lead as a set sequence of place notation (possibly
> limited by certain criteria currently under discussion), a lead-based
> method would be a method obtained by ringing a certain lead (repeatedly)
> until a suitable end-point, or until there is some form of call/change
> of method.
Again, it seems that under that description either includes everything of
does not include lots of standard things, depending on how the ambiguities
are resolved. If "(repetaedly)" allows ringing a lead only once, then
dixonoids are included. If not, then compositions of spliced in which
only one lead of a method appears are no lead-based.
The apparent failure (so far) to give a workable definition of
"lead-based" suggests to me that the idea is not useful.
Why not just define a method to be a finite sequence of place notations?
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