Birth-death processes with mass annihilation and state-dependent immigration

A birth-death process is subject to mass annihilation at rate β with subsequent mass immigration occurring into state j at rateα j . This structure enables the process to jump from one sector of state space to another one (via state 0) with transition rate independent of population size. First, we highlight the difficulties encountered when using standard techniques to construct both time-dependent and equilibrium probabilities. Then we show how to overcome such analytic difficulties by means of a tool developed in Chen and Renshaw (1990, 1993b); this approach is applicable to many processes whose underlying generator on E\{0} has known probability structure. Here we demonstrate the technique through application to the linear birth-death generator on which is superimposed an annihilation/immigration process.

An ontological characterization of time-series and state-sequences for data mining

Time-series and sequences are important patterns in data mining. Based on an ontology of time-elements, this paper presents a formal characterization of time-series and state-sequences, where a state denotes a collection of data whose validation is dependent on time. While a time-series is formalized as a vector of time-elements temporally ordered one after another, a state-sequence is denoted as a list of states correspondingly ordered by a time-series. In general, a time-series and a state-sequence can be incomplete in various ways. This leads to the distinction between complete and incomplete time-series, and between complete and incomplete state-sequences, which allows the expression of both absolute and relative temporal knowledge in data mining.

Translating Nietzsche, mediating literature: Alexander Tille and the limits of Anglo-German intercultural transfer

Dr. Alexander Tille (1866–1912) was one of the key-figures in Anglo-German intercultural transfer towards the end of the 19th century. As a lecturer in German at Glasgow University he was the first to translate and edit Nietzsche’s work into English. Writers such as W. B. Yeats were influenced by Nietzsche and used Tille’s translations. Tille’s social Darwinist reading of the philosopher’s oeuvre, however, had a narrowing impact on the reception of Nietzsche in the Anglo-Saxon world for decades. Through numerous publications Tille disseminated knowledge about British authors (e.g., Robert Louis Stevenson, William Wordsworth) in Germany and about German authors (e.g., Johann Wolfgang von Goethe) in Britain. His role as mediator also extended into areas such as history, religion, and industry. During the Boer war, however, Tille’s outspoken pro-German nationalism brought him in conflict with his British host society. After being physically attacked by his students he returned to Germany and published a highly anglophobic monograph. Tille personifies the paradox of Anglo-German relations in the pre-war years, which deteriorated despite an increase in intercultural transfer and knowledge about the respective Other. [From the Author]