  For irreducible interval exchange transformations, we study the relation
between the powers of induced map and the induced maps of powers and raise a
condition of equivalence between them. And skew production of Rauzy induction
map is set up and verified to be ergodic regard to a product measure. Then we
prove that almost all the interval exchange transformations are totally rank
one (rank one for all powers of positive integers) by interval. As a corollary,
for almost all interval exchange transformations, rank one transformations are
dense $G_{\delta}$ in the weak closure.
