  Any Calderon-Zygmund operator T is pointwise dominated by a convergent sum of
positive dyadic operators. We give an elementary self-contained proof of this
fact, which is simpler than the probabilistic arguments used for all previous
results in this direction. Our argument also applies to the q-variation of
certain Calderon-Zygmund operators, a stronger nonlinearity than the maximal
truncations. As an application, we obtain new sharp weighted inequalities.
