> So, what is the average of 1 and 0.999..., Roy?
Is dx = 0 or dx > 0? Is this a kind of game?
dx = 1/infty. What is infty?
60^2 + 11^2 = 61^2
5100^2 + 101^2 = 5101^2
501000^2 + 1001^2 = 501001^2
50010000^2 + 10001^2 = 50010001^2
5000100000^2 + 100001^2 = 5000100001^2
500001000000^2 + 1000001^2 = 500001000001^2
50000010000000^2 + 10000001^2 = 50000010000001^2
5000000100000000^2 + 100000001^2 = 5000000100000001^2
500000001000000000^2 + 1000000001^2 = 500000001000000001^2
50000000010000000000^2 + 10000000001^2 = 50000000010000000001^2
5000000000100000000000^2 + 100000000001^2 = 5000000000100000000001^2
500000000001000000000000^2 + 1000000000001^2 = 500000000001000000000001^2
50000000000010000000000000^2 + 10000000000001^2 = 50000000000010000000000001^2
5000000000000100000000000000^2 + 100000000000001^2 = 5000000000000100000000000001^2
500000000000001000000000000000^2 + 1000000000000001^2 = 500000000000001000000000000001^2
50000000000000010000000000000000^2 + 10000000000000001^2 = 50000000000000010000000000000001^2
5000000000000000100000000000000000^2 + 100000000000000001^2 = 5000000000000000100000000000000001^2
500000000000000001000000000000000000^2 + 1000000000000000001^2 = 500000000000000001000000000000000001^2
50000000000000000010000000000000000000^2 + 10000000000000000001^2 = 50000000000000000010000000000000000001^2
5000000000000000000100000000000000000000^2 + 100000000000000000001^2 = 5000000000000000000100000000000000000001^2
500000000000000000001000000000000000000000^2 + 1000000000000000000001^2 = 500000000000000000001000000000000000000001^2
50000000000000000000010000000000000000000000^2 + 10000000000000000000001^2 = 50000000000000000000010000000000000000000001^2
5000000000000000000000100000000000000000000000^2 + 100000000000000000000001^2 = 5000000000000000000000100000000000000000000001^2
500000000000000000000001000000000000000000000000^2 + 1000000000000000000000001^2 = 500000000000000000000001000000000000000000000001^2
50000000000000000000000010000000000000000000000000^2 + 10000000000000000000000001^2 = 50000000000000000000000010000000000000000000000001^2
5000000000000000000000000100000000000000000000000000^2 + 100000000000000000000000001^2 = 5000000000000000000000000100000000000000000000000001^2
500000000000000000000000001000000000000000000000000000^2 + 1000000000000000000000000001^2 = 500000000000000000000000001000000000000000000000000001^2
50000000000000000000000000010000000000000000000000000000^2 + 10000000000000000000000000001^2 = 50000000000000000000000000010000000000000000000000000001^2
5000000000000000000000000000100000000000000000000000000000^2 + 100000000000000000000000000001^2 = 5000000000000000000000000000100000000000000000000000000001^2
500000000000000000000000000001000000000000000000000000000000^2 + 1000000000000000000000000000001^2 = 500000000000000000000000000001000000000000000000000000000001^2
50000000000000000000000000000010000000000000000000000000000000^2 + 10000000000000000000000000000001^2 = 50000000000000000000000000000010000000000000000000000000000001^2
5000000000000000000000000000000100000000000000000000000000000000^2 + 100000000000000000000000000000001^2 = 5000000000000000000000000000000100000000000000000000000000000001^2
500000000000000000000000000000001000000000000000000000000000000000^2 + 1000000000000000000000000000000001^2 = 500000000000000000000000000000001000000000000000000000000000000001^2
50000000000000000000000000000000010000000000000000000000000000000000^2 + 10000000000000000000000000000000001^2 = 50000000000000000000000000000000010000000000000000000000000000000001^2
5000000000000000000000000000000000100000000000000000000000000000000000^2 + 100000000000000000000000000000000001^2 = 5000000000000000000000000000000000100000000000000000000000000000000001^2