In this article we study a broad class of integer programming problems in variable dimension. We show that these so-termed n-fold integer programming problems are polynomial time solvable. Our proof involves two heavy ingredients discovered recently: the equivalence of linear optimization and so-called directed augmentation, and the stabilization of certain Graver bases. We discuss several appl...

Some authors regard gambling as an addiction. Detailed psychiatric examination revealed obsessive-compulsive syndrome in this patient. He was treated systematically with individual psychotherapy and sertraline from low doses up to the maximal dose (i.e. about 200 mg daily). A complete remission of the obsessive-compulsive syndrome was achieved. A number of indirect proofs demonstrate a signific...

Purpose: In the last years, some studies investigated dosimetric benefits of a free flattening filter for the photon mode in the radiotherapy field. This study aims to provide a theoretical study published and analysis of basic dosimetric properties for a Saturne 43 Linac head to implement free flattening filter beams clinically. Material and Methods: Thi...