Given function g(n), we define en))-fOn)| there exist positive constants c,c2, and no such that 0 S cig(n) sf(n) S cg(n) for all n2 o g(n)-tn) there exist positive constants c and no such that 0s(n) S cgn) for all n 2 no (n))-(f)| there exist positive constants c and no such that 0 s cg(n)Sf(n) for all n2 no) o(g(n) (n)| for any constant c>0 there exists a constant no > 0 such that 0 S f(n) 0 there exists a constant no > 0 such that 0S cg(n)