On 26/05/2014 13:16, ritwi...@isical.ac.in wrote:
Dear R helpers,


today I found something interesting in R. 0^0 gives value 1 in R. But it
is undefined in mathematics. During debugging a R code, I found it and it
effects my program severely. So my question is why it is defined 1 in R?
Is there any particular reason or its a bug in the R software?

Try reading the help:

     Users are sometimes surprised by the value returned, for example
     why ‘(-8)^(1/3)’ is ‘NaN’.  For double inputs, R makes use of IEC
     60559 arithmetic on all platforms, together with the C system
     function ‘pow’ for the ‘^’ operator.  The relevant standards
     define the result in many corner cases.  In particular, the result
     in the example above is mandated by the C99 standard.  On many
     Unix-alike systems the command ‘man pow’ gives details of the
     values in a large number of corner cases.

See §F9.4.4 of the C99 standard.



Here is one demo:

*************************************************

ff=function(u){
   return( x^0 * u)
}

x=0
zz=integrate(ff,lower=0,upper=1)$value
zz



source('~/.active-rstudio-document')
zz
[1] 0.5


*************************************************

Looking forward to hear any response.

Regards,

Ritwik Bhattacharya
Indian Statistical Institute Kolkata

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--
Brian D. Ripley,                  rip...@stats.ox.ac.uk
Professor of Applied Statistics,  http://www.stats.ox.ac.uk/~ripley/
University of Oxford,             Tel:  +44 1865 272861 (self)
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