Complex sentence: The functional S (q) is a highly non-trivial functional to compute; the bulk solution is determined by the boundary intrinsic geometry, local variations in this boundary geometry effects the whole bulk solution, as such K ^ (q) is going to be non-local.
Split into simpler sentences: The functional S (q) is a highly non-trivial functional to compute; the bulk solution is determined by the boundary intrinsic geometry. Variations in the boundary intrinsic geometry effects the whole bulk solution, as such K ^ (q) is going to be non-local.