[seqfan] Re: "Types/lengths of runs" in binary numbers

[Leroy Quet]

The digit is important. So, 11011000 is not of the same type of runs as 11001110.

Yes, multiset -- that's the ticket. Thanks for your reply.

Leroy Quet
 

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--- On Tue, 9/1/09, franktaw at netscape.net <franktaw at netscape.net> wrote:

> From: franktaw at netscape.net <franktaw at netscape.net>
> Subject: [seqfan] Re: "Types/lengths of runs" in binary numbers
> To: seqfan at list.seqfan.eu
> Date: Tuesday, September 1, 2009, 8:59 PM
> Do you mean to have types of runs
> include which digit is being 
> repeated, or is only the run length significant?  For
> example, is 
> 11000110 the same as or different from 11100100?
> 
> If length is all that is significant, you can refer to "the
> multiset of 
> run lengths"; this expresses your idea clearly and
> succinctly.  It 
> might be noted that this multiset is a partition.
> 
> If the digit is significant, you can define the run type to
> be the pair 
> of run length and digit, and then refer to the multiset of
> run types.
> 
> Franklin T. Adams-Watters
>