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Virgil
Posts:
8,833
Registered:
1/6/11


Re: CHANGING THE DIAGONAL!
Posted:
Dec 28, 2012 8:37 PM


In article <adde38fa1e6343a194f0908da37a4f8f@s6g2000pby.googlegroups.com>, Graham Cooper <grahamcooper7@gmail.com> wrote:
> +> >  0. 542.. >  0. 983.. >  0. 143.. >  0. 543.. >  ... > v > OK  THINK  don't back explain to me. > You run down the Diagonal 5 8 3 ... > IN YOUR MIND  > > [1] > you change each digit ONE AT A TIME > 0.694... > but this process NEVER STOPS > > [2] > so you NEVER CONSTRUCT A NEW DIGIT SEQUENCE!
That is like saying that the function f+ N > N : x \_> x^2 never ends.
As soon as one has a completed rule by which values of the function are determined from its domain to its codomain, the function is defined.
E.g., f:N > N : 2 > 2*x+1 is completed function
Thus a rule or function for determining antidiagonal digits creates the entire antidiagonal list of digits in one step. 



