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Re: Another little puzzle

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On Wednesday, January 11, 2023 at 9:36:40 AM UTC+2, Tim Rentsch wrote:
> "Dmitry A. Kazakov" <mai...@dmitry-kazakov.de> writes: 
> 
> > On 2023-01-08 16:45, Tim Rentsch wrote: 
> > 
> >> "Dmitry A. Kazakov" <mai...@dmitry-kazakov.de> writes: 
> >> 
> >>> Averaging arcs is equivalent to averaging angles. 
> >> 
> >> Angles are a one-dimensional measure. 
> > 
> > Averaging arcs is still equivalent to averaging angles, which is 
> > trivial result of elementary trigonometry. 
> > 
> >> Finding an arc length 
> >> "average" of points on a sphere needs a two-dimensional result. 
> > 
> > Points do not have arcs. 
> > 
> >>>> Now that I think about it, finding the point that minimizes the 
> >>>> great circle distances squared would be at least computationally 
> >>>> unpleasant. 
> >>> 
> >>> See above, it is just angles to average. 
> >> 
> >> Apparently you have not yet understood the problem. 
> > 
> > Again, averages of arcs and angles are equivalent up to a 
> > multiplier. 
> > 
> >> Why don't 
> >> you try writing a program that inputs a set of points normalized 
> >> to be on the unit sphere, and then calculates the arc length 
> >> average point (on the unit sphere) of those input points? 
> > 
> > Why don't you write a formula specifying your need? 
> > 
> > Programs are written according to the specifications. Numeric 
> > programs require a properly stated problem, rather than a bunch 
> > of words arbitrarily thrown in a meaningless sentence as above.
> After reading this response and also three other responses of 
> yours (to Ben Bacarisse) down stream, I can't help but think you 
> have little or no interest in understanding the problem, offering 
> any useful comments about it, or trying to write a program to 
> solve the problem. Apparently the only interest you do have is 
> making captious remarks.

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Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-12-30 01:00 +0000
  Re: Another little puzzle Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-12-29 23:25 -0800
    Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-12-30 14:04 +0000
      Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2022-12-31 00:24 +0000
        Re: Another little puzzle Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-12-31 06:42 -0800
          Re: Another little puzzle "Dmitry A. Kazakov" <mailbox@dmitry-kazakov.de> - 2022-12-31 17:04 +0100
            Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-01-01 01:24 +0000
            Re: Another little puzzle Tim Rentsch <tr.17687@z991.linuxsc.com> - 2023-01-08 07:45 -0800
              Re: Another little puzzle "Dmitry A. Kazakov" <mailbox@dmitry-kazakov.de> - 2023-01-08 17:17 +0100
                Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-01-08 20:41 +0000
                Re: Another little puzzle Richard Heathfield <rjh@cpax.org.uk> - 2023-01-08 21:14 +0000
                Re: Another little puzzle "Dmitry A. Kazakov" <mailbox@dmitry-kazakov.de> - 2023-01-08 22:31 +0100
                Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-01-09 03:25 +0000
                Re: Another little puzzle "Dmitry A. Kazakov" <mailbox@dmitry-kazakov.de> - 2023-01-09 11:22 +0100
                Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-01-09 20:37 +0000
                Re: Another little puzzle "Dmitry A. Kazakov" <mailbox@dmitry-kazakov.de> - 2023-01-10 09:06 +0100
                Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-01-11 02:41 +0000
                Re: Another little puzzle "Dmitry A. Kazakov" <mailbox@dmitry-kazakov.de> - 2023-01-11 10:01 +0100
                Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-01-12 01:00 +0000
                Re: Another little puzzle Tim Rentsch <tr.17687@z991.linuxsc.com> - 2023-01-10 23:36 -0800
                Re: Another little puzzle Y A <ya00000100000@yahoo.com> - 2023-01-11 02:39 -0800
          Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-01-01 01:10 +0000
            Re: Another little puzzle Tim Rentsch <tr.17687@z991.linuxsc.com> - 2023-01-08 07:17 -0800
              Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-01-08 19:43 +0000
                Re: Another little puzzle Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-01-08 19:59 +0000
                Re: Another little puzzle Tim Rentsch <tr.17687@z991.linuxsc.com> - 2023-01-10 23:25 -0800
      Re: Another little puzzle Tim Rentsch <tr.17687@z991.linuxsc.com> - 2022-12-31 06:20 -0800
        Re: Another little puzzle Augǝl <angel0000000001000000000000@mail.ee> - 2022-12-31 10:23 -0800

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