Form the equality condition of dual Orlicz-Minkowski inequality, if the equality holds, then K [intersection] [xi] and L [intersection] [xi] must be dilates. The second inequality in the above proof is Jensen inequality.

From the equality condition of Jensen inequality, if [phi] is strictly convex and the equality holds, then [vol.sub.j] (L [intersection] [xi]/[vol.sub.j](K [intersection] [xi]) must be a constant; this yields that K [intersection] [xi] and L [intersection] [xi] must be dilates. In this proof, the third inequality is obtained by applying the Holder inequality.

with equality if and only if K and L are dilates. Since [phi] is decreasing function on (0, [infinity]), it follows that

with equality if and only if K and L are dilates. On the other hand, if taking L for M, we similarly get [mathematical expression not reproducible], with equality if and only if K and L are dilates.

with equality if and only if K and L are dilates. Since [psi] is decreasing function on (0, [infinity]), it follows that

with equality if and only if K and L are dilates. On the other hand, if we take K for M, we similarly get [mathematical expression not reproducible], with equality if and only if K and L are dilates.

(1) If K and L are dilates, then K and [mathematical expression not reproducible].

(2) If K and [mathematical expression not reproducible] L are dilates, then K and L are dilates.

This yields that [mathematical expression not reproducible] and L are dilates. Namely, K and L are dilates.

If [psi] is strictly convex, from equality condition of the Orlicz-Minkowski inequality, the equality holds if and only if K and [mathematical expression not reproducible] are dilates, and L and [mathematical expression not reproducible] are dilates and, combining with Lemma 18, this yields that if [psi] is strictly convex, equality holds in (90) if and only if K and L are dilates.

To dilate the body is to engage in an ethics of affect, to create an aura for the encounter with the other.

The purpose to dilate the body is to perform the role and to embody the score.

As Barba argues, "The extra-daily techniques dilate, bring into view for the spectator, and therefore render meaningful, one aspect which is hidden in daily behaviour: showing something engenders interpretation" (Paper Canoe 25).