Near Extensions and Alignment of Data in R(superscript)n

11 Results: A Revisit of Theorem 2.2 (part (1))

In this chapter we are going to begin to revisit Theorem 2.2 (part (1)) with a collection of finer results using a new geometry on the set . As part of our finer results, we will study a quantitative relationship where the constant depends on and the constant . is small enough and depends on both and the constant . Recall that the constant is chosen when is chosen and controls . Recall is finite so always exists (but is independent of