Simon Roberts

2017-06-11 16:20:35 UTC

I believe or think this expression (R) can represent any real number.

R = lim_(y->oo)

[(z_(-y)(x_k)^(-y) + z_(-y+1)(x_k)^(-y+1) + z_(-y+2)(x_k)^(-y+2) +...+

z_(-1)^(-1) + z_(0)(x_k)^(0) + z_(1)(x_k)^(1) +...+

z_(y-2)(x_k)^(y-2) + z_(y-1)(x_k)^(y-1) + z_(y)(x_k)^(y)].

or y sufficiently large.

I believe or think this expression can represent any real number.

z_i is either 0 or 1.

x_k is any real base, including integers.

y is an integer (an index).

for example can be represented like binary.

(...1010001.011111...)_x_k

Simon Roberts.

R = lim_(y->oo)

[(z_(-y)(x_k)^(-y) + z_(-y+1)(x_k)^(-y+1) + z_(-y+2)(x_k)^(-y+2) +...+

z_(-1)^(-1) + z_(0)(x_k)^(0) + z_(1)(x_k)^(1) +...+

z_(y-2)(x_k)^(y-2) + z_(y-1)(x_k)^(y-1) + z_(y)(x_k)^(y)].

or y sufficiently large.

I believe or think this expression can represent any real number.

z_i is either 0 or 1.

x_k is any real base, including integers.

y is an integer (an index).

for example can be represented like binary.

(...1010001.011111...)_x_k

Simon Roberts.