We calculate the mean throughput, number of collisions, successes, and idle slots for random tree algorithms with successive interference cancellation. Except for the case of the throughput for the binary tree, all the results are new. We furthermore disprove the claim that only the binary tree maximizes throughput. Our method works with many observables and can be used as a blueprint for further analysis.

In 2010, we proposed a personal factor classification which was published in this journal. Since then, the International Classification of Functioning, Disability and Health (ICF) of the World Health Organization (WHO) and the biopsychosocial model were increasingly incorporated into the German Social Law Code for participation and rehabilitation, implying that personal factors are indispensable for individual assessments. For the present study, we aimed to come up with an updated version of the personal factors classification based on current research. To achieve this goal, we employed a qualitative approach to re-examine the basic structure, consistency, and selection of categories in the classification from our 2010 study, to amend and supplement the categories to reflect best practice personal factor classifications. Our findings indicate that the basic structure remained largely unchanged, with relatively minor changes, including the deletion of 5 categories from our 2010 classification, 10 categories revised in format or content, and 13 new categories. We believe our revised classification to be useful for supporting users in systematically, comprehensively, and transparently reporting influences on specific aspects of individuals’ life and living background on their functioning and participation, thus facilitating an equitable allocation of disability benefits.

The Zollverein was arguably the most important free trade agreement of the nineteenth century. Although 1834 is the official date of the Zollverein's establishment, member states joined in a non-random sequence over several decades because the benefits of becoming a member increased, both as the size of the union increased, and as membership in the union became increasingly important for accessing foreign markets. We incorporate the endogenous effects of accession into an estimate of the economic impact of the Zollverein customs union. Our estimated effects are several times larger than simple estimates that do not take these effects into account.

The Chicxulub impact is commonly believed to have caused the Cretaceous–Tertiary boundary mass extinction and a thin impact spherule layer in the North Atlantic and Caribbean is frequently cited as proof. We evaluated this claim in the seven best North Atlantic and Caribbean Cretaceous–Tertiary boundary sequences based on high-resolution biostratigraphy, quantitative faunal analyses and stable isotopes. Results reveal a major Cretaceous–Tertiary boundary unconformity spanning most of Danian subzone P1a(1) and Maastrichtian zones CF1–CF2 (~400 ka) in the NW Atlantic Bass River core, ODP Sites 1049A, 1049C and 1050C. In the Caribbean ODP Sites 999B and 1001B the unconformity spans from the early Danian zone P1a(1) through to zones CF1–CF4 (~3 Ma). Only in the Demerara Rise ODP Site 1259B is erosion relatively minor and restricted to the earliest Danian zone P0 and most of subzone P1a(1) (~150 ka). In all sites examined, Chicxulub impact spherules are reworked into the early Danian subzone P1a(1) about 150–200 ka after the mass extinction. A similar pattern of erosion and redeposition of impact spherules in Danian sediments has previously been documented from Cuba, Haiti, Belize, Guatemala, south and central Mexico. This pattern can be explained by intensified Gulf stream circulation at times of climate cooling and sea level changes. The age of the Chicxulub impact cannot be determined from these reworked impact spherule layers, but can be evaluated based on the stratigraphically oldest spherule layer in NE Mexico and Texas, which indicates that this impact predates the Cretaceous–Tertiary boundary by about 130–150 ka.