Re: Another little puzzle

From	Ben Bacarisse <ben.usenet@bsb.me.uk>
Newsgroups	comp.programming
Subject	Re: Another little puzzle
Date	2022-12-25 01:30 +0000
Organization	A noiseless patient Spider
Message-ID	<87bknsp8vx.fsf@bsb.me.uk> (permalink)
References	(3 earlier) <87wn6krsc5.fsf@bsb.me.uk> <868riwzxu3.fsf@linuxsc.com> <to7ar5$aqn$1@gioia.aioe.org> <875ye0qvs0.fsf@bsb.me.uk> <to83un$3ps$1@gioia.aioe.org>

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Mike Terry <news.dead.person.stones@darjeeling.plus.com> writes:

> On 24/12/2022 22:30, Ben Bacarisse wrote:
>> Mike Terry <news.dead.person.stones@darjeeling.plus.com> writes:

>>> Another way of thinking of this approach is "balancing" the 24-hour
>>> modular circle, where we've put unit weights at each of the times x_i.
>>> E.g. we look for a balancing line through the centre of the circle.
>>
>> Is that the same?  For {0, 8, 16} any of the three lines through 0, 8 or
>> 16 balances, but the vector sum interpretation is undefined.  And for
>> {0, 6, 12, 18} there are two balance lines, neither of which seems to be
>> a natural answer for the average.
>
> Yes, it's logically the same, in so far as WHEN the x_i aren't already
> balanced [aka they /have/ a meaningful average] we get the same
> average both ways.  (Adding vectors is effectively a way of
> calculating moments of the weights in the balancing view of things.)

Oh, yes, I see what you mean.  Sorry.

-- 
Ben.

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Re: Another little puzzle Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-12-21 13:17 -0800
  Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-12-22 04:10 +0000
    Re: Another little puzzle Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-12-24 06:21 -0800
      Re: Another little puzzle Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2022-12-24 16:53 +0000
        Re: Another little puzzle Richard Heathfield <rjh@cpax.org.uk> - 2022-12-24 17:14 +0000
        Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-12-24 22:30 +0000
          Re: Another little puzzle Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2022-12-25 00:02 +0000
            Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-12-25 01:30 +0000
            Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-12-25 01:55 +0000
        Re: Another little puzzle Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-12-25 00:37 -0800
      Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-12-25 00:41 +0000
        Re: Another little puzzle Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-12-25 01:05 -0800
          Re: Another little puzzle Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-12-25 09:30 -0800
          Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-12-25 21:44 +0000
            Re: Another little puzzle Richard Damon <Richard@Damon-Family.org> - 2022-12-25 17:59 -0500
              Re: Another little puzzle Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-12-25 18:39 -0800
              Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-12-26 03:18 +0000
            Re: Another little puzzle Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-12-25 18:35 -0800
              Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-12-26 03:49 +0000

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