Florent Hivert <[email protected]> writes:
> On Tue, Jun 07, 2011 at 06:16:09PM +0200, Martin Rubey wrote:
>> Anne Schilling <[email protected]> writes:
>>
>> >> Sure; Sorry for the typo. Here is what my current code does:
>> >>
>> >> sage: for i in DyckWords(3):
>> >> ....: print i, i.return_to_zero()
>> >> ....:
>> >> /\/\/\ [0, 2, 4, 6]
>> >> /\
>> >> /\/ \ [0, 2, 6]
>> >> /\
>> >> / \/\ [0, 4, 6]
>> >> /\/\
>> >> / \ [0, 6]
>> >> /\
>> >> / \
>> >> / \ [0, 6]
>> >>
>> >
>> > position_of_zeroes?
>>
>> I would prefer number_of_returns.
>
> I think you would prefer returns: as you can see this is the position not
> their number that I am computing. Also, I'm not sure including 0 is a good
> idea.
Ah, yes, I agree. You certainly want to have [len(D.returns()) for D in
DyckWords] and [D.number_of_initial_rises() for D in DyckWords] to give
the same multiset, so I guess you want to leave out the initial zero.
>> > number_of_initial_rises
>>
>> Isn't that misleading? Wouldn't it be length_of_initial_rise? In any
>> case, I know it as height_of_first_peak :-)
>
> I like the idea that many statistic have their name starting by
> number_of_...
Yes, me too, because of tab completion.
> Next question: any one knows a better name for what I name below a Catalan
> code:
>
> A Catalan code is a list of integer l such that `l_0 = 0` and
> `0 \leq l_{i+1} \leq l_i + 1` for `i > 0`
Yes. 6.19 u. :-)
Martin
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