# Re: [R] Question about converting from square roots to decimals and back

From: Andrew Robinson <A.Robinson_at_ms.unimelb.edu.au>
Date: Sat 20 Jan 2007 - 19:15:21 GMT

Hi Robert,

does this help?

A3<-matrix(nrow=3,c(1/(2^.5),1/(2^.5),0)) sum(A3^2)==1
all.equal(sum(A3^2), 1)

Cheers,

Andrew

On Sat, Jan 20, 2007 at 02:00:18PM -0500, Robert Barber wrote:
> Hi,
>
> I apologize if there is a simple answer to this question that I've
> missed. I did search the mailing list but I might not have used the
> right keywords. Why does sum(A3^2) give the result of 1, but
> sum(A3^2)==1 give the result of FALSE?
>
> > A3<-matrix(nrow=3,c(1/(2^.5),1/(2^.5),0))
> > A3
> [,1]
> [1,] 0.7071068
> [2,] 0.7071068
> [3,] 0.0000000
> > sum(A3^2)
>  1
> > sum(A3^2)^.5
>  1
> > sum(A3^2)==1 # here's the part I don't understand
>  FALSE
> > sum(A3^2)^.5==1 # here's the part I don't understand
>  FALSE
>

> I realize that it has something to do with the conversion of the square
> roots into decimals. But shouldn't it then give me some number other
> than 1 as the result for sum(A3^2)? Are there other ways to do this
> than what I've tried? I'm trying to confirm that A3 is a unit vector.
>
> Thank you for your help.
>
> Bob B.
>
> ______________________________________________
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> https://stat.ethz.ch/mailman/listinfo/r-help
> and provide commented, minimal, self-contained, reproducible code.

```--
Andrew Robinson
Department of Mathematics and Statistics            Tel: +61-3-8344-9763
University of Melbourne, VIC 3010 Australia         Fax: +61-3-8344-4599
http://www.ms.unimelb.edu.au/~andrewpr
http://blogs.mbs.edu/fishing-in-the-bay/

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