It is the same thing (simply multiply the polynomial by the LCM and you have a polynomial with integer coefficients).

-------------------------------------------------------
Ravi Varadhan, Ph.D.
Assistant Professor,
Division of Geriatric Medicine and Gerontology School of Medicine Johns Hopkins University

Ph. (410) 502-2619
email: rvaradhan@jhmi.edu<mailto:rvaradhan@jhmi.edu>

From: JLucke@ria.buffalo.edu [mailto:JLucke@ria.buffalo.edu]
Sent: Tuesday, May 31, 2011 11:06 AM
To: Ravi Varadhan
Cc: 'Bentley Coffey'; r-help@r-project.org; r-help-bounces@r-project.org; Vincy Pyne
Subject: Re: [R] Value of 'pi'


A transcendental number is not the zero of any polynomial with <rational>, not just integer, coefficients
.


Ravi Varadhan <rvaradhan@jhmi.edu>
Sent by: r-help-bounces@r-project.org

05/31/2011 10:12 AM

To

"'Bentley Coffey'" <bentleygcoffey@gmail.com>, Vincy Pyne <vincy_pyne@yahoo.ca>

cc

"r-help@r-project.org" <r-help@r-project.org>

Subject

Re: [R] Value of 'pi'







`pi' is more than irrational - it is transcendental, which mean it cannot be the zero of a polynomial with integer coefficient.  All transcendentals are irrationals, but not vice-versa.

I have also heard (courtesy: John Nash) that `pi' is the ratio of actual time it takes to complete your thesis to the anticipated time.

I have also heard that March 14 is the official `pi' day in the US (probably not in Indiana!).

Ravi.

-------------------------------------------------------
Ravi Varadhan, Ph.D.
Assistant Professor,
Division of Geriatric Medicine and Gerontology School of Medicine Johns Hopkins University

Ph. (410) 502-2619
email: rvaradhan@jhmi.edu


-----Original Message-----
From: r-help-bounces@r-project.org [mailto:r-help-bounces@r-project.org] On Behalf Of Bentley Coffey
Sent: Monday, May 30, 2011 9:01 PM
To: Vincy Pyne
Cc: r-help@r-project.org
Subject: Re: [R] Value of 'pi'

Pi is an irRATIOnal number, meaning that it is not equal to the ratio of any
integers ("whole numbers"). Hence, 22/7 is ONLY an approximation. The
built-in value for pi in R is also just an approximation (pi has no terminal
digit on the right of the decimal point so any finite number of digits will
just be an approximation). Yet, the built-in value for pi in R is a more
precise approximation, which is usually preferred...
On May 30, 2011 2:02 AM, "Vincy Pyne" <vincy_pyne@yahoo.ca> wrote:
> Dear R helpers,
>
> I have one basic doubt about the value of pi. In school, we have learned
that
>
> pi = 22/7 (which is = 3.142857). However, if I type pi in R, I get pi =
3.141593. So which value of pi should be considered?
>
> Regards
>
> Vincy
>
>
>
>
>
> [[alternative HTML version deleted]]
>
> ______________________________________________
> R-help@r-project.org mailing list
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide
http://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.

                [[alternative HTML version deleted]]

______________________________________________
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.

______________________________________________
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.

	[[alternative HTML version deleted]]

