Groups | Search | Server Info | Keyboard shortcuts | Login | Register [http] [https] [nntp] [nntps]

Groups > sci.physics.relativity > #399003

Re: ds^2 and metric tensor

Show all headers | View raw

Użytkownik "JanPB"  napisał w wiadomości grup 
dyskusyjnych:5608ee20-e28c-41a1-8d67-a0ec00c42927@googlegroups.com...

> So,  poor idiot, we have:
> 1)ds^2
> 2)ds^2|_(x,y)(u,v)
> You're a true idiot, but I think you can still notice some difference,
> can't you?
> Which one gives a real number? The second one, right?

|Right.

And the second one  is your tensor.

> Of course, you don't know what
> it means, but I write for others, not for you.

|That's fine, but note that the word "differential" is not well-defined in 
mathematics

Yes, it isn't. The concept is a little bit (not much) more complicated than 
usual
mathematical stuff, and that makes it totally uncomprehendable to you.

Still - wiki:
In the mathematical field of differential geometry, a metric tensor is a 
type of function which takes as input a pair of tangent vectors v and w at a 
point of a surface (or higher dimensional differentiable manifold) and 
produces a real number scalar g(v, w)
1) don't qualify.

Or maybe wiki is wrong - again?

Back to sci.physics.relativity | Previous | Next — Previous in thread | Next in thread | Find similar | Unroll thread

Thread

ds^2 and metric tensor mlwozniak@wp.pl - 2016-11-18 05:12 -0800
  Re: ds^2 and metric tensor JanPB <filmart@gmail.com> - 2016-11-18 12:26 -0800
    Re: ds^2 and metric tensor Hank Barco <hankbarco@hankbarco.org> - 2016-11-18 21:05 +0000
    Re: ds^2 and metric tensor Maciej Woźniak <mlwozniak@wp.pl> - 2016-11-19 10:04 +0100
      Re: ds^2 and metric tensor paparios <paparios@gmail.com> - 2016-11-19 05:56 -0800
        Re: ds^2 and metric tensor Maciej Woźniak <mlwozniak@wp.pl> - 2016-11-19 15:24 +0100
        Re: ds^2 and metric tensor Gary Harnagel <hitlong@yahoo.com> - 2016-11-19 06:30 -0800
      Re: ds^2 and metric tensor JanPB <filmart@gmail.com> - 2016-11-19 15:55 -0800
        Re: ds^2 and metric tensor Maciej Woźniak <mlwozniak@wp.pl> - 2016-11-20 08:49 +0100
          Re: ds^2 and metric tensor JanPB <filmart@gmail.com> - 2016-11-20 01:35 -0800
            Re: ds^2 and metric tensor Maciej Woźniak <mlwozniak@wp.pl> - 2016-11-20 14:17 +0100
              Re: ds^2 and metric tensor JanPB <filmart@gmail.com> - 2016-11-20 20:38 -0800
                Re: ds^2 and metric tensor mlwozniak@wp.pl - 2016-11-20 22:54 -0800
                Re: ds^2 and metric tensor JanPB <filmart@gmail.com> - 2016-11-20 23:08 -0800
                Re: ds^2 and metric tensor Maciej Woźniak <mlwozniak@wp.pl> - 2016-11-21 21:45 +0100
                Re: ds^2 and metric tensor JanPB <filmart@gmail.com> - 2016-11-21 13:17 -0800
                Re: ds^2 and metric tensor Tom Roberts <tjroberts137@sbcglobal.net> - 2016-11-21 16:17 -0600
                Re: ds^2 and metric tensor JanPB <filmart@gmail.com> - 2016-11-21 16:15 -0800
                Re: ds^2 and metric tensor mlwozniak@wp.pl - 2016-11-21 23:31 -0800
                Re: ds^2 and metric tensor JanPB <filmart@gmail.com> - 2016-11-22 00:36 -0800
                Re: ds^2 and metric tensor mlwozniak@wp.pl - 2016-11-22 01:53 -0800
                Re: ds^2 and metric tensor JanPB <filmart@gmail.com> - 2016-11-22 14:06 -0800
                Re: ds^2 and metric tensor alsor@interia.pl - 2016-11-22 14:31 -0800
                Re: ds^2 and metric tensor "David (Lord Kronos) Fuller" <fuller.david@hotmail.com> - 2016-11-22 14:42 -0800
                Re: ds^2 and metric tensor JanPB <filmart@gmail.com> - 2016-11-22 15:41 -0800
                Re: ds^2 and metric tensor alsor@interia.pl - 2016-11-24 12:50 -0800
                Re: ds^2 and metric tensor mlwozniak@wp.pl - 2016-11-22 23:18 -0800
                Re: ds^2 and metric tensor JanPB <filmart@gmail.com> - 2016-11-22 23:49 -0800
                Re: ds^2 and metric tensor mlwozniak@wp.pl - 2016-11-23 02:34 -0800
                Re: ds^2 and metric tensor JanPB <filmart@gmail.com> - 2016-11-23 14:58 -0800
                Re: ds^2 and metric tensor mlwozniak@wp.pl - 2016-11-23 23:31 -0800
        Re: ds^2 and metric tensor alsor@interia.pl - 2016-11-20 08:17 -0800
          Re: ds^2 and metric tensor JanPB <filmart@gmail.com> - 2016-11-20 20:45 -0800
            Re: ds^2 and metric tensor alsor@interia.pl - 2016-11-22 11:45 -0800
              Re: ds^2 and metric tensor JanPB <filmart@gmail.com> - 2016-11-23 16:38 -0800
                Re: ds^2 and metric tensor alsor@interia.pl - 2016-11-24 12:56 -0800
  Re: ds^2 and metric tensor alsor@interia.pl - 2016-11-19 09:15 -0800
    Re: ds^2 and metric tensor Norberto Haman <norberman@norberman.info> - 2016-11-19 17:25 +0000
      Re: ds^2 and metric tensor alsor@interia.pl - 2016-11-19 11:21 -0800

csiph-web