X-Message-Number: 21419 Date: Tue, 18 Mar 2003 10:48:30 -0800 From: Pat Clancy <> Subject: Re: math and the end of the universe References: <> Responding to randy: >> So, let's see, the human brain has on the order of 10^15 >>synapses. Even if each synapse could have only 2 states (which is not >>the case), that's 2^(10^15) states, which is slightly larger than >>10^10^14 (that's 10 following by 10^14 zeroes). So the size of the >>training data set is on the order of this size. A neural net will need >>on the order of thousands of training iterations; let's assume just >>1000. Now assuming each training iteration took just a nanosecond >>(highly unrealistic), that's (10^3)*(10^(10^14))*(10^(-9)) = >>10^((10^14)-6) seconds, still approx. 10^10^14 seconds. > > Hmmm. I think I disagree. Assuming a minimum Order of 10*(10^14), == > 10^15, I get (10^3)*(10^15)*(10^(-9)) == 10^(3+14-9) == 109 seconds > required to train the network. > No, it's not 10*(10^14), it's 10^(10^14). (I should have parenthesized 10^10^14 to make it clearer). That is, 10 followed by 10^14 zeroes, not 10 followed by 15 zeroes. Your subsequent conclusions are therefore based on an incorrect number. Pat Clancy Rate This Message: http://www.cryonet.org/cgi-bin/rate.cgi?msg=21419