Leonard Bernstein's Trouble in Tahiti created a stepping stone towards his own brand of serious but accessible music theater. While he dedicated the opera in seven scenes to Marc Blitzstein, that path was paved by the formal innovations of Kurt Weill. A comparative analysis of Trouble in Tahiti with Lady in the Dark reveals that Bernstein derived essential impulses from Weill's musical play, although the few statements he made about his music indicate ambivalence and competition, particularly with regard to Weill's American works. As Bernstein's female protagonist, Dinah, struggles to define herself vis-à-vis the institution of marriage, the themes of psychoanalysis, Hollywood glamour and the use of song as a meta-dramatic topic emerge as common threads. Select harmonies, instrumentation and rhythmic devices further evince debts to the precursor of Weill. But while Liza of Lady in the Dark finds her musical cure, Dinah does not meet with personal fulfilment.

Bjerre 7 is a modest Late Bronze Age house in Thy, Denmark. Excellent preservation and full-recovery techniques provided comprehensive evidence of farm self-sufficiency, local exchange, and amber collection for trade. Spatial analyses of ceramics, lithics, plant macrofossils, and amber identified distinctive activity areas at both ends of the house and outside. Routines are discussed for refuse disposal, ceramic use in everyday activities, ad hoc knapping and use of flint tools, plant processing, and amber storage. The household was economically generalized and largely self-sufficient, with limited specialization. Located close to the North Sea, the householders collected raw amber for trade. Metal was obtained from outside for a small-scale, household industry. Although some division of labour is likely, it seems that the whole household engaged in the diverse activities identified on site.

We explore a general method based on trees of elementary submodels in order to present highly simplified proofs to numerous results in infinite combinatorics. While countable elementary submodels have been employed in such settings already, we significantly broaden this framework by developing the corresponding technique for countably closed models of size continuum. The applications range from various theorems on paradoxical decompositions of the plane, to coloring sparse set systems, results on graph chromatic number and constructions from point-set topology. Our main purpose is to demonstrate the ease and wide applicability of this method in a form accessible to anyone with a basic background in set theory and logic.

The use of amber is documented in the Iberian peninsula since the Palaeolithic. The procurement and trade of this fossil resin has often been considered in discussions of long-distance trade and the emergence of social complexity, but so far no comprehensive view of the Iberian evidence has been produced to allow a more overarching interpretive model. This paper presents the Fourier-transform infrared spectroscopy (FTIR) characterization of archaeological amber from three Iberian prehistoric sites: a necklace recovered from the megalithic site of Palacio III (Almadén de la Plata, Sevilla), a pommel from PP4 Montelirio (Valencina de la Concepción, Sevilla), and a necklace from the Muricecs de Cellers cave (Llimiana, Pallars Jussà, Lleida). Based on these new data and a review of the literature, we present an overview that outlines fluctuations in the use of amber since the Upper Palaeolithic and demonstrates long-distance amber exchange connecting Iberia with northern Europe and the Mediterranean region since the Chalcolithic period at least. We discuss changes in the origins and cultural use of amber and their implications for the consolidation of trade networks.

We present a general recurrence model which provides a conceptual framework for well-known problems such as ascents, peaks, turning points, Bernstein's urn model, the Eggenberger–Pólya urn model and the hypergeometric distribution. Moreover, we show that the Frobenius-Harper technique, based on real roots of a generating function, can be applied to this general recurrence model (under simple conditions), and so a Berry–Esséen bound and local limit theorems can be found. This provides a simple and unified approach to asymptotic theory for diverse problems hitherto treated separately.