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From: Archimedes Plutonium on 26 Jul 2010 03:35 Archimedes Plutonium wrote: > Alright, I have not really done much to further the science of > probability theory. It really has not moved or budged much from French > probability advances. We have the Fundamental Counting > Principle as a exponental. A test with two choices (true false test) > that has 3 questions would > have 2x2x2 outcomes. With 4 questions would have 2x2x2x2. > So the exponent in probability theory means "total possible outcomes." > > And we have the equation of 268! = 10^536 > Is like saying that "all possible sequental arrangements" = "total > possible outcomes" > > So tonight, let me try to see if I can expand Probability theory into > a whole new ballgame, > or should I say cardgame or dice game. Instead of combinations and > permutations, let me try > to get Probability theory into a geometrical foundation. > > Let us start with 268! = 10^536 and view that as "all possible > sequental arrangements of 268 > digit numbers" all containing digits from 0 to 9 inclusive (from the > 10 in 10^536). And the number 10^536 now becomes the total number of > these all possible sequental arrangements > of 268 digit numbers. Let me give some examples to clear the mind. > I made a glaring mistake there, for it can not be ten digits from 0 to 9, for the permutation there would be 10! So the 268! describes 268 digits and all the possible arrangements of 268 digits, not 10 digits. I am too tired and making too many mistakes. There are alot of subtle interconnections of the factorial versus exponent, and easy to cross wires and make mistakes. I should revert back to the surface of the sphere model and 2 dimensional. Will think on this tomorrow. Archimedes Plutonium http://www.iw.net/~a_plutonium/ whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |