Former 9th and possible future 9th planet in the Solar system

Solution of the 9th Homework

Proof. Let us first assume that c > 0. To prove that sup(cA) = c(sup A), we claim that sup(cA) ≤ c(sup A) and sup(cA) ≥ c(sup A). For the first inequality, let a′ ∈ cA be arbitrary. Then a′ = ca for some a ∈ A. But since a ≤ sup A, we have a′ = ca ≤ c(sup A). This shows that c(sup A) is an upper bound of cA, hence we have sup(cA) ≤ c(sup A). The reverse inequality also follows in a similar mann...

9th Seattle Club Conference

s: Symposium 1 Neurodevelopmental Issues p.11 Symposium 2 Challenging Behaviour p.13 Symposium 3 Parenting & Being Parented p.15 Symposium 4 Cognitions & Emotions p.18 Symposium 5 Social Inclusion & Social Interactions p.20 Symposium 6 Service Issues p.22

9th Month Thesis Report

Proceedings of the 9th International Congress on Peritoneal Surface Malignancies, October 9th - 11th 2014, Amsterdam.

The 9th Annual ICFP Programming Contest

The annual ICFP Programming Contest has become one of the premiere programming competitions in the world. The 9 incarnation of the contest, “The Cult of the Bound Variable,” was held in July 2006 and organized by the Principles of Programming group at Carnegie Mellon University. This report details the contest tasks, the technology used to produce the contest, and the contest results. Several t...