Taking tilting modules from the poset of support tilting modules

C. Ingalls and H. Thomas defined support tilting modules for path algebras. From tau-tilting theory introduced by T. Adachi, O. Iyama and I. Reiten, a partial order on the set of basic tilting modules defined by D. Happel and L. Unger is extended as a partial order on the set of support tilting modules. In this paper, we study a combinatorial relationship between the poset of basic tilting modules and basic support tilting modules. We will show that the subposet of tilting modules is uniquely determined by the poset structure of the set of support tilting modules.Comment: 11 page

Influence of a detailed model of man on proton depth/dose calculation

The development of a detailed radiation shielding model of man is discussed. This model will be used to plan for manned space missions in which sensitive human tissues may be subjected to excessive radiation. The model has two configurations: standing and seated. More than 2500 individual elements were used to depict the external conformation, skeleton, and principal organs. The model is briefly described and several examples of its application to mission planning are given