There are many uncertainties about the production and dissemination of vocal polyphony manuscripts from Prague illuminators’ and scribes’ ateliers compared with the dissemination of monophonic vocal manuscripts. The only known “workshop” producing manuscripts with primarily polyphonic music is the one led by Master Jan Kantor Starý († 1582) in Prague’s New Town. However, the number of surviving manuscripts suggests that more “workshops” might have existed in Prague at the turn of the 16th and 17th centuries. The goal of this study is to ascertain if there were any other ateliers in Prague producing vocal polyphony manuscripts during the analysed period. The findings are based on recent palaeographic and codicological analyses of the selected group of polyphonic sources written by identical scribal hands: Kutná Hora Codex from 1593 (Czech Museum of Music, Prague), Trubka’s Gradual from 1604 (Prague City Archives, Prague), the Partbook of the St. Barbara Literary Brotherhood in Přeštice from 1619 (National Library of the Czech Republic, Prague) and a bifolio from an unknown partbook in the Gradual of the St. Castulus Church from 1580 (Library of the Archbishop’s Chateau, Kroměříž). The comparison of the analysed scribal hands indicates the existence of an atelier that was probably from the milieu of the royal court. Systematic inquiries into the professional production of polyphonic manuscripts should thus continue because that is the only way to better and fully understand the musical culture of the Czech lands during the Renaissance., Natálie Krátká., Obsahuje bibliografické odkazy, and Jan Pulkrábek [překladatel]
In classic data envelopment analysis models, two-stage network structures are studied in cases in which the input/output data set are deterministic. In many real applications, however, we face uncertainty. This paper proposes a two-stage network DEA model when the input/output data are stochastic. A stochastic two-stage network DEA model is formulated based on the chance-constrained programming. Linearization techniques and the assumption of single underlying factor of the data are used to construct the equivalent deterministic linear programming model. The relationship between the stochastic efficiency of each stage and stochastic centralized efficiency of the whole process, at different confidence levels, is discussed. To illustrate the real applicability of the proposed approach, a real case on 16 commercial banks in China is given.