We prove that the opposite of the category of coalgebras for the Vietoris endofunctor on the category of compact Hausdorff spaces is monadic over $\mathsf {Set}$. We deliver an analogous result for the upper, lower, and convex Vietoris endofunctors acting on the category of stably compact spaces. We provide axiomatizations of the associated (infinitary) varieties. This can be seen as a version of Jónsson–Tarski duality for modal algebras beyond the zero-dimensional setting.

Many court observers have argued that judges are capable of avoiding the use of extraneous factors in decision-making. This study examines the influence of seemingly irrelevant heuristics on real-world courtroom proceedings. Drawing on theories from neighboring disciplines, I hypothesize that physically attractive attorneys have greater success in US federal court. Using a generalizable causal inference strategy and a dataset of over 1,000 cases and 3,000 votes, I find support for my expectations using multiple measures of attractiveness. These findings raise serious normative concerns about equality and underscore the need to adjust traditional models of judicial behavior to account for inherent biases.

The true characterization of elite germplasm is of utmost importance for accelerating the crop breeding programme. The Indian dolichos bean [Lablab purpureus (L.) var. typicus Prain] has the potential to improve nutritional and food security. In the present investigation, a total of 21 genotypes of dolichos bean, comprising local collections mainly, along with one standard check (Kashi Sheetal) were evaluated in a complete randomized block design with three replications for two consecutive years, 2021–22 to 2022–23 for the perusal of the genetic variability. Analysis of variance revealed significant differences among all the genotypes for all the characters. PCV and GCV estimates revealed very little influence of environment on the expression of traits under study. High heritability (>90%) estimates coupled with high genetic advance as a percent of the mean were observed for flower attributes, pod length, average weight of 10 pods, pod yield and protein content. The principal component analysis revealed that the first two components cumulatively accounted for more than 50% of total variability. The present investigation revealed that the genotypes, RLBDL-S-8, RLBDL-S-14 and RLBDL-S-4-5 were stable across the years and genotype RLBDL-S-8 exhibited the highest yield potential, which can be used effectively in the development of high yielding varieties of dolichos bean in the Bundelkhand region. The study also revealed the presence of wide genetic variability in the studied local accessions which is a prerequisite for the genetic improvement of crop plants. High heritability and genetic advancement indicated the scope of selection in the crop improvement.

Standardisation is a product of the second wave of the Industrial Revolution in Europe and North America. This article examines how Western standardisation practices were introduced, transmitted, and promoted in China during the first half of the twentieth century. In particular, it looks at the critical role played by British, American, and local Chinese engineers in the transmission process. The topics covered in the present article have seldom been considered, and this article tries to fill the gap in scholarship. It analyses the shifting patterns of various standardisation efforts that are closely related to the governance of both cities and the wider nation. Work examined includes that of the Engineering Society of China, led by British engineers, which initiated standardisation in the Shanghai International Settlement in the early twentieth century; that of the Association of Chinese and American Engineers, founded by engineers of China and the USA, which, after World War I, began to implement the standardisation of railway infrastructure, with the cooperation of the Ministry of Transportation of the Beijing government; and efforts in the 1930s under the Nanjing government to establish an ‘engineering’ or ‘technocratic’ state, which included the execution of national schemes for the development of industrial standardisation. From the period of World War I until the 1930s, the orientation and practices of American standardisation strategies dominated China; then, due to the worsening situation of the Chinese–Japanese War, ideological tendencies and national strategies for standardisation began to diverge.

We prove an equality, predicted in the physical literature, between the Jeffrey–Kirwan residues of certain explicit meromorphic forms attached to a quiver without loops or oriented cycles and its Donaldson–Thomas type invariants.

In the special case of complete bipartite quivers we also show independently, using scattering diagrams and theta functions, that the same Jeffrey–Kirwan residues are determined by the the Gross–Hacking–Keel mirror family to a log Calabi–Yau surface.

The absence of Islam from recent scholarship on Hegel's account of world religions is puzzling. In the first part of the article, we argue that Hegel's neglect of Islam in his systematic account of religious phenomena is not accidental and that he did not think of Islam as a determinate religion. Its size and believers aside, we suggest that it is not possible to assign any determinacy to Islam as a world-historical phenomenon under Hegel's rubric, because such determinacy that applies to other religions would be in conflict with what Hegel takes to be Islam's emphasis on the negative moment of truth, its revolutionary tendencies, and its lack of any novel conceptual content as a response to Christianity. In the second part of the article, we point out how one could respond to Hegel's characterization of Islam when it is mentioned in relation to other religious traditions. First, we argue that Hegel overemphasizes the significance of Islam qua religion in explaining the history of Muslim peoples. More than that, Hegel does not see that the history of Islamic philosophy and science can be characterized by sublation and that it can be integrated into conceptual developments in the West on these terms. However, our critique of Hegel's Eurocentrism does not remain at this level, for in the third part of the article we argue for the significance of considering the response of Muslim philosophers to Hegel. In particular, we look at the responses by Mohammed al-Khosht and Mahmoud Haider, respectively. We conclude that Hegel's exclusion of Islam from any involvement in the history of the Concept indicates an undialectical commitment on his part and that to this extent being Hegelian today requires that we rectify this oversight.

Pompey owned numerous properties in Italy, but except for a few residential villas little is known of their location or economic function. However, two amphora stamps have been attributed to him, which show that he was involved in the manufacture of amphorae, and probably in the production of the wine. Four tile stamps, found in the vicinity of Gravina in Puglia and at a villa at San Gilio in the upper Bradano valley, can also be attributed to Pompey for reasons discussed in detail in this paper. Since they were found in locations close to a drove road, it is inferred that Pompey had invested in properties which could be used as pasture for transhumant sheep. The circumstances in which he acquired the estate near Gravina are discussed, and it is suggested that it fell within the territory of Silvium and is likely to have been acquired by him after the War of Spartacus in which the settlement was destroyed. It is also suggested that the estate was bought by Octavian in the sale of Pompey's properties, which was still ongoing in 44 BC.

A novel reconfigurable circular microstrip G-slotted antenna having a circularly defected ground structure (DGS) capable of switching its resonance frequency for several microwave applications is presented in this paper. Reconfigurability of the proposed G-slot antenna is obtained by incorporating three PIN diodes. One diode is embedded in the patch and two diodes are integrated into the DGS structure at appropriate places in the slot to achieve four different wireless applications such as aeronautical radio navigation (4.3 GHz with gain 3.6 dB), satellite communication (3.78 GHz with gain 3.7 dB), mobile communication (4.55 GHz with gain 4.0 dB), and WiMAX (3.35 GHz with gain 3.3 dB). These four bands are achieved depending on the different biasing conditions of the three PIN switches used. Antenna performance has been analyzed in ANSYS Electronics Desktop 2018.2 software. The equivalent circuit component of the switching element (PIN diode) has been considered and designed during the simulation. The creative structure lies in the way that it exhibits higher gain with compact size than the previously reported similar antenna. A prototype of the proposed patch antenna has been fabricated on a Roger substrate and its testing and measurement have been performed to demonstrate its desirable characteristics and features.

Autonomous fabric manipulation is a challenging task due to complex dynamics and potential self-occlusion during fabric handling. An intuitive method of fabric-folding manipulation first involves obtaining a smooth and unfolded fabric configuration before the folding process begins. However, the combination of quasi-static actions like pick & place and dynamic action like fling proves inadequate in effectively unfolding long-sleeved T-shirts with sleeves mostly tucked inside the garment. To address this limitation, this paper introduces an enhanced quasi-static action called pick & drag, specifically designed to handle this type of fabric configuration. Additionally, an efficient dual-arm manipulation system is designed in this paper, which combines quasi-static (including pick & place and pick & drag) and dynamic fling actions to flexibly manipulate fabrics into unfolded and smooth configurations. Subsequently, once it is confirmed that the fabric is sufficiently unfolded and all fabric keypoints are detected, the keypoint-based heuristic folding algorithm is employed for the fabric-folding process. To address the scarcity of publicly available keypoint detection datasets for real fabric, we gathered images of various fabric configurations and types in real scenes to create a comprehensive keypoint dataset for fabric folding. This dataset aims to enhance the success rate of keypoint detection. Moreover, we evaluate the effectiveness of our proposed system in real-world settings, where it consistently and reliably unfolds and folds various types of fabrics, including challenging situations such as long-sleeved T-shirts with most parts of sleeves tucked inside the garment. Specifically, our method achieves a coverage rate of 0.822 and a success rate of 0.88 for long-sleeved T-shirts folding. Supplemental materials and dataset are available on our project webpage at https://sites.google.com/view/fabricfolding.

The aim of the Isfahan Anthology Project is to create an inventory of, collect, and digitize all extant anthologies produced in seventeenth-century Isfahan. Thousands of majmuʿa were authored and assembled in Isfahan. Presently, we are working together with our graduate students at the University of Isfahan and the University of Michigan in a collaboration that intends to train a new generation of Safavid historians who will continue this digital project into the future. We have begun the vast project of collecting and generating tables of contents for anthologies housed in the capital's most prominent public libraries—Tehran University Library, Majlis Library, Malik Library, and the National (Milli) Library of Iran—to begin our analysis of their anthology collections. Adapting our work to include reconnaissance, we have taken careful account of the content and organization of these anthologies so that we can create a digital and searchable database of Isfahan's anthologies that allows fellow scholars and graduate students across the world to freely have access to these rich Persianate-world sources.

We generalise and improve some recent bounds for additive energies of modular roots. Our arguments use a variety of techniques, including those from additive combinatorics, algebraic number theory and the geometry of numbers. We give applications of these results to new bounds on correlations between Salié sums and to a new equidistribution estimate for the set of modular roots of primes.

We study some analytic properties of the Asai lifts associated with cuspidal Hilbert modular forms, and prove sharp bounds for the second moment of their central L-values.

Let G be a countable residually finite group (for instance, ${\mathbb F}_2$) and let $\overleftarrow {G}$ be a totally disconnected metric compactification of G equipped with the action of G by left multiplication. For every $r\geq 1$, we construct a Toeplitz G-subshift $(X,\sigma ,G)$, which is an almost one-to-one extension of $\overleftarrow {G}$, having r ergodic measures $\nu _1, \ldots ,\nu _r$ such that for every $1\leq i\leq r$, the measure-theoretic dynamical system $(X,\sigma ,G,\nu _i)$ is isomorphic to $\overleftarrow {G}$ endowed with the Haar measure. The construction we propose is general (for amenable and non-amenable residually finite groups); however, we point out the differences and obstructions that could appear when the acting group is not amenable.