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You are not logged in. #26 20060621 07:59:11
Re: The Golden Ratio by Mario Livio. Anybody read it?
perhaps, but im pretty sure theyd have been getting bored of watching us after the billions upon billions of years, and cut off the program, and even so, i think they would be having, well fun with us, rather than just letting existance get on with it, that is, unless theyre preoccupied with the other side of our universe. The Beginning Of All Things To End. The End Of All Things To Come. #27 20060621 08:05:27
Re: The Golden Ratio by Mario Livio. Anybody read it?or maybe they're busy playing un updated version of reality. A logarithm is just a misspelled algorithm. #28 20060621 18:04:24
Re: The Golden Ratio by Mario Livio. Anybody read it?I guess if x and y are not independent and have some certain kind of relation that can be described by complex numbers, they will be very useful. X'(yXβ)=0 #29 20060623 04:38:41
Re: The Golden Ratio by Mario Livio. Anybody read it?I think the use of matrices is pretty clear in the computer world. It requires no judicious rearranging techniques and solves its general form. Matrics I guess are sort of like the quadratic formula for all linear equations. But perhaps these are the "certain problems" you are refering to. A logarithm is just a misspelled algorithm. #30 20060623 12:30:19
Re: The Golden Ratio by Mario Livio. Anybody read it?I think it's mainly GaussianElimination that simplifies linear equation solving. Last edited by George,Y (20060623 18:28:06) X'(yXβ)=0 #31 20060623 18:34:11
Re: The Golden Ratio by Mario Livio. Anybody read it?Actually there are competitions in math theories! X'(yXβ)=0 #32 20060623 23:35:00
Re: The Golden Ratio by Mario Livio. Anybody read it?
As far as I know, Bayesian theory is a lame attempt to gather a probability in which scientific theory is correct. It amounts to going around and asking people, "How much do you believe in theory X?" "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #33 20060624 13:08:30
Re: The Golden Ratio by Mario Livio. Anybody read it?Bayesians are good at helping court. In that case, only Bayesians could help. X'(yXβ)=0 #34 20060624 13:33:31
Re: The Golden Ratio by Mario Livio. Anybody read it?Not really. Like I said, I only know about the Bayesians as a group going around trying to figure out how much people believe in certain theories. What do you mean by classical? "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #35 20060624 14:10:59
Re: The Golden Ratio by Mario Livio. Anybody read it?After a tiring investigation I find Classical is not as solid as many people think. Probablity is a hard subject, and neither classical nor Bayesian can make progress without sacrificing something. Last edited by George,Y (20060624 14:21:37) X'(yXβ)=0 #36 20060624 14:49:20
Re: The Golden Ratio by Mario Livio. Anybody read it?On fibonacci series: to get a general formula for S_{n} arrange it this gives us an inspiration, can we change the equity into this form: ? since the coefficient for S_{n1} and S_{n2} are 1, l and k should satisfy: thanks to the equation we get l and k are . Which is bigger? We can only leave this question here. On the other hand,, Thus Here we use a trickwe set S_{1}=0 and S_{2}=1 then since and so on, The "bigger" question does not matter here, so we get the final formula: Last edited by George,Y (20060624 22:20:52) X'(yXβ)=0 #37 20060624 22:31:29
Re: The Golden Ratio by Mario Livio. Anybody read it?Luckily S_{1}=0 and S_{2}=1 satisfy this formula too. This could explain why S_{n}/S_{n1}≈Golden Ratio X'(yXβ)=0 #38 20060712 16:02:35
Re: The Golden Ratio by Mario Livio. Anybody read it?I've read Livio's book and found it very interesting. For even more information on Phi and the Fibonacci sequence, I highly recommend checking out this site. You can shear a sheep many times but skin him only once. 