The relevant limit here is: lim x*log(x) = 0 x->0
It's pretty standard to introduce a convention of "0*log(0) = 0" early on in information theory texts, since it avoids a lot of messy delta/epsilon stuff in the later exposition (and since the results cease to make sense without it, with empty portions of the distribution contributing infinite entropy or something silly like that). E On Tue, Oct 14, 2014 at 5:48 PM, <r...@audioimagination.com> wrote: > > > > > > "Max Little" <max.a.lit...@gmail.com> wrote: > > > OK yes, 0^0 = 1. > > depends on how you do the limit. > > lim x^x = 1 > x->0 > > i imagine this might come out different > > lim (1 - x^x)^(x^(1/2)) > > x->0 > > dunno. too lazy to L'Hopital it. > > r b-j > > -- > dupswapdrop -- the music-dsp mailing list and website: > subscription info, FAQ, source code archive, list archive, book reviews, > dsp links > http://music.columbia.edu/cmc/music-dsp > http://music.columbia.edu/mailman/listinfo/music-dsp > -- dupswapdrop -- the music-dsp mailing list and website: subscription info, FAQ, source code archive, list archive, book reviews, dsp links http://music.columbia.edu/cmc/music-dsp http://music.columbia.edu/mailman/listinfo/music-dsp
