Traced monoidal categories model processes that can feed their outputs back to their own inputs, abstracting iteration. The category of finite-dimensional Hilbert spaces with the direct sum tensor is not traced. But surprisingly, in 2014, Bartha showed that the monoidal subcategory of isometries is traced. The same holds for coisometries, unitary maps, and contractions. This suggests the possibility of feeding outputs of quantum processes back to their own inputs, analogous to iteration. In this paper, we show that Bartha’s result is not specifically tied to Hilbert spaces, but works in any dagger additive category with Moore–Penrose pseudoinverses (a natural dagger-categorical generalization of inverses).

This article examines the institutional evolution and professionalization of the state police in Prague during the final decades of the Habsburg monarchy, arguing that the transformation of the Prague State Police between 1893 and 1910 represents a proactive effort in modern state-building. Drawing on reports from the Prague Police Directorate and the Bohemian Governor’s Office, it analyzes how recurring episodes of mass violence—specifically the unrest of the early 1890s, the riots of December 1897, and the nationalist disturbances of 1908—exposed the structural vulnerabilities of a security apparatus designed for routine policing rather than mass politics.

The article highlights a significant shift in administrative strategy: the movement away from a reliance on military intervention, which was increasingly viewed by civil authorities as a “double defeat” that undermined the legitimacy of the constitutional state. Instead, police directors such as Georg Dörfl and Karel Křikava successfully advocated for a robust, civilian-controlled force characterized by increased manpower, modernized equipment, and the establishment of a dedicated reserve for professional training. By 1910, the Prague Guard had largely expanded, reflecting a fundamental reconceptualization of urban order where protest was accepted as an unavoidable feature of political life to be contained by professional civilian forces rather than crushed by the army.

Why do some economic shocks have political consequences, upturning elections and ushering in radical candidates, while others are brushed off as structural change? We address this puzzle by looking to geographically concentrated industries, and how they relate to regional identity. While most often presented as a source of regional strength, we show that industrial hubs in the United States have accounted for more job losses than gains over the last twenty years. We then show how this matters through three original survey studies. Workers in geographically concentrated industries belong to denser, more deeply-rooted peer networks; these are associated with a stronger view that politicians are responsible for preventing layoffs. Those same individuals also perceive economic shocks of equal magnitude as more damaging to their region’s standing, compared to the rest of the country. Perceptions of lost regional standing, in turn, are associated with greater demand for populist leadership traits. Finally, we show how these individual attitudes translate into aggregate political behavior. Employment losses in industrial hubs are tied to greater support for Republican candidates, while equivalent losses in non-hubs show no analogous effect. Our account presents a competing picture to the dominant narrative of industrial hubs as founts of innovation and productivity. When threatened by structural forces, such hubs can turn instead into founts of political resentment.

Training for knowledge and attitude change can be a key component of improving animal care and welfare. Much of the available research is focused upon the livestock industry but can be applied to other animal industries. In the research and teaching industry (RTI), training is an important legal, regulatory, professional, and ethical responsibility as well as a forming part of the social licence for industry. A comparative study was developed to explore the impact of training targeting attitudes and knowledge on participants’ use of grimace scales (GS) in the Australian and New Zealand (ANZ) RTI. Participants were recruited into training sessions that excluded (control) or included (enhanced) training targeting attitudes. Prior to any training, cohorts received a mixed-methods, quantitative-qualitative questionnaire to determine baseline knowledge and attitudes towards GS, animal welfare, and pain management. Post-training, participants completed questionnaires to investigate changes in their knowledge or attitudes. Training (control and enhanced) resulted in up to eight times more positive attitudes and knowledge towards the GS and pain management. Only enhanced training for attitudes offered additional key benefits with participants being up to three times more confident in GS and more likely to offer pain relief. The results from this study demonstrate the ability for GS training to improve human-animal interactions with potential improvements in pain management, animal welfare, the 3Rs, and research. These outcomes support the greater body of literature and best practice recommendations for RTIs to require and implement training programmes that incorporate attitudinal training in animal care and use programmes.

Nursery crop producers in the Southeastern U.S. use open ponds of captured water for irrigating container-grown plants, often without filtration. Many growers perceive irrigation water as a source of weed seed dispersal, but data on the presence of weed seeds in nursery irrigation ponds are lacking. The presence and diversity of viable weed seeds in irrigation pond water samples from six commercial container nurseries in central and eastern North Carolina, U.S.A., were documented in the spring, summer, and late summer for two consecutive years. Irrigation pond water was filtered in 75,708-L increments using a custom-fabricated filtration system. The sample volume was chosen to approximate daily irrigation for 0.405 ha. A total of 216 filtrate samples were collected, six for each location, season, and year. Filtrates were spread on soilless substrate in plastic trays, and seedling emergence was recorded every seven days for twelve weeks. Irrigation samples from all locations, seasons, and years contained viable seeds. A total of 75 different taxa were present in the irrigation filtrates, including 28 weed species common to container nurseries. The average number of seeds collected at each location ranged from 9 to 35 per 75,708-L sample. Averaged across years and locations, there were 12.5, 24.8, and 18.2 germinable seeds 75,708 L-1 in spring, summer, and late summer collections, respectively. Some common weed species, such as eclipta, marsh yellowcress, large crabgrass, flexuous bittercress, and spotted spurge, were present in samples from each season’s collections, while other species were unique to a single season. Although irrigation water introduced weed seeds, the number of weed seeds was small compared to other potential sources of weed seed dispersal within the nursery environment.

This article examines the Halle-Herrnhut controversy from 1727 to 1737 by foregrounding the role of the Moravian mission program and the spiritual agency of lay believers in shaping ecclesiastical politics. Moving beyond the conventional focus on theological disputes and personal animosities between the Franckes and Count Zinzendorf, the analysis will examine how Moravian missionaries and common believers were represented and rhetorically mobilized within a transatlantic correspondence network as symbols of ecclesiastical disruption and spiritual populism. Drawing on unpublished German-language letters exchanged among Halle Pietists and their allies, the article reveals how concerns about denominational proximity, spiritual authority, and institutional control were rhetorically projected onto Moravian expansionary initiatives. The controversy, which unfolded across Europe, British North America, and as far east as India, was less about doctrinal precision than about reputational anxieties and competing visions of Protestant community. Moravian believers, who were often lay artisans, refugees, and itinerant missionaries, emerged as symbolic figures whose perceived spiritual agency threatened the coherence of Halle’s program of reform. By tracing how elite actors invoked these believers in polemical discourse, the article offers a new categorical lens for understanding the politics of mission, conversion, and ecclesiology in the eighteenth-century Protestant Atlantic world.