Re: [R] Any orthnormal matrix can keep the curve's shape and size unchnaged?

From: Giovanni Petris <GPetris_at_uark.edu>
Date: Fri 30 Jul 2004 - 08:08:02 EST

Any orthogonal transformation preserves angles between vectors and their length. Therefore, I guess shape and size are preserved -- of course a precise answer depends on how you define these two features of a curve.

I am missing what has all this to do with R, though.

Giovanni

> Date: Thu, 29 Jul 2004 15:08:52 -0500
> From: Fred <fzh113@hecky.it.northwestern.edu>
> Sender: r-help-bounces@stat.math.ethz.ch
> Cc:
> Importance: Normal
> Precedence: list
>
> Dear R users,
>
> I want to know, given a curve f in d-dimensional space,
> It is possible to keep the curve’s shape and size unchanged by
> an arbitrary dxd orthnormal matrix A?
> That is, the new curve g = A*f is still the same shape and size as f?
>
> Thanks for your advices and answers.
>
>
> Fred
>
> [[alternative HTML version deleted]]
>
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-- 

 __________________________________________________
[                                                  ]
[ Giovanni Petris                 GPetris@uark.edu ]
[ Department of Mathematical Sciences              ]
[ University of Arkansas - Fayetteville, AR 72701  ]
[ Ph: (479) 575-6324, 575-8630 (fax)               ]
[ http://definetti.uark.edu/~gpetris/              ]
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Received on Fri Jul 30 08:18:19 2004

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