Before revision:  It turns out that these sets fill in the high-dimensional case almost the complete space once \delta falls below a certain bound that depends only on the condition number of A and on the ratio of the dimensions m and n, but not on the sizeof these dimensions .
After revision:  It turns out that these sets fill in the high-dimensional case almost the complete space once \delta falls below a certain bound that depends only on the condition number of A and on the ratio of the dimensions m and n, but not on their size .