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Article #963

Re: Calculus and trigonometry

#963
From: Johan Wevers
Date: Mon, 10 Aug 1992 10:42
33 lines
1886 bytes
aa751@cleveland.Freenet.Edu (Fran Rosen) writes:
>
>I now have a conception of the difference between Euclidian and
>non-Euclidian geometry.  What I am curious about is what Calculus
>and Trigonometry show or at least what their purpose is.  

Non-Euclidean geometry is the basis of general relativity. GRT roughly
says that the curvature of space is proportional to the mass in it.

To be more precise: if we define the Riemann tensor as:

                   u    u   n
[\nabla ,\nabla ] T  = R   T ,
       a       b        nab
                                              n
And the Ricci tensor as the contraction: R  =R   ,
                                          ab  anb
                                         1          8\pi K
The field equations of GRT read as: R  - -g  R   = -------- T
                                     ab  2 ab aa     c^2     ab

in which T is the energy-momentum tensor.

>An arts and science major,
>Fran

 ********************************************************************
 * J.C.A. Wevers                *         _\       /e+ /u       2   *
 * johan@blade.stack.urc.tue.nl *     1 | u \  X  /   /       |     *
 ******************************** P = - |    >---<   <   + ...|     *
 *     The only nature of       *     N |   /     \   \       |     *
 *     reality is physics       *          /d     u\   \u           *
 ********************************************************************
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Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!sun4nl!tuegate.tue.nl!blade!johan
From: johan@blade.stack.urc.tue.nl (Johan Wevers)
Newsgroups: sci.physics
Subject: Re: Calculus and trigonometry
Message-ID: <5003@tuegate.tue.nl>
Date: 10 Aug 92 10:42:31 GMT
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