[R] Any orthnormal matrix can keep the curve's shape and size unchnaged?
GPetris at uark.edu
Fri Jul 30 00:08:02 CEST 2004
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.
> Date: Thu, 29 Jul 2004 15:08:52 -0500
> From: Fred <fzh113 at hecky.it.northwestern.edu>
> Sender: r-help-bounces at stat.math.ethz.ch
> 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 curves 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.
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[ Giovanni Petris GPetris at 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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