Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
Drexel University or The Math Forum.



Re: CHANGING THE DIAGONAL!
Posted:
Dec 28, 2012 10:32 PM


On Dec 29, 11:37 am, Virgil <vir...@ligriv.com> wrote: > In article > <adde38fa1e6343a194f0908da37a4...@s6g2000pby.googlegroups.com>, > Graham Cooper <grahamcoop...@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.
Right! but since it has no free variable input to apply it's safe to extrapolate results toward infinity.
> > 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. >
dependent on the input.
In this case, you cannot ANTIDIAGONALISE an infinite set.
Every digit you change is substitutable by another digit in another permutation.
Herc



