The descriptions of two co-occurring cardioid crustaceans from the Ballagan Formation (Tournaisian, Lower Carboniferous) of Chirnside, Scottish Borders, help to resolve the taxonomy of the genus Tealliocaris. Tealliocaris robusta Peach, 1908 is assigned to Schramocaris to form S. robusta (Peach, 1908) comb. nov. on the basis of morphological characters such as the rugosity and position of the branchial carinae as well as the nature of the pleon, and becomes the earliest representative of this genus in Scotland. A new species of Tealliocaris is also recognised from this locality and is described as T. briggsi sp. nov., based on the smooth carapace, lack of pleonic grooves and the number of spines on the scaphocerite and lateral margin of the anterior carapace. The systematic position of the Pendleian specimens identified by Peach (1908) as ‘Tealliocaris robusta var.’ is finally resolved and described as T. weegie sp. nov.

In this note, we establish a boundary maximum principle for a class of stationary pairs of varifolds satisfying a fixed contact angle condition in any compact Riemannian manifold with smooth boundary.

This essay employs the anthropological notion of female social agency to analyse a selection of case studies in the art history of the late Byzantine Empire. They concern three women – Nicoletta Grioni, Isabelle de Lusignan, and Maria d'Enghien-Brienne – who lived between the mid- to late fourteenth century and the first half of the fifteenth. All three were part of a Greek-Latin Mediterranean socio-cultural context. While their stories are not fully represented in textual primary sources, the present essay examines a selection of heterogeneous visual and cultural materials that help to reinstate their role in history and overcome the male-logocentric nature of the written evidence related to them.

This article focuses on three Byzantine capitals acquired by Edwin Freshfield and later donated to the church of the Wisdom of God in Lower Kingswood, which provide us with two ways to see through Byzantium. The first looks at their original Constantinopolitan context lost at the time of their acquisition. The second reflects on how Byzantine materials attracted wealthy Western European collectors, who combined antiquarian curiosity with the quest for the authentic Christian faith. Their privileged status allowed them both to possess these witnesses of the sacred past and even to project their own image to posterity as being analogous to that of Byzantine patrons.

The new states that were established in the autumn of 1918 presented themselves as something new and better. Not only were they supposed to be the embodiment of the “national yearnings” of the formerly “oppressed nations” of the Habsburg Empire, but they were also meant to be more democratic and it was promised that their administrations would work better and their economies would flourish. In short, they were to be a decisive break with the imperial past. However, the new nation-states often could not deliver on these lofty promises, and, as a result, their legitimacy began to erode rather rapidly. In this context, the inability to quickly improve the food supply played an important role. In the Slovene part of Yugoslavia, the inadequate supply of basic foodstuffs, rationing, and increasing prices made the already volatile situation worse, as parts of the population began to grumble, protest, and yearn for the Habsburgs, looking across their northern and western borders. Police and court files, district captains’ reports, and various other sources indicate that after the proclamation of independence the mood of the population quickly soured, and that the legitimacy of the new state was often questioned.

Following a debate at the Parliamentary Assembly of the Council of Europe (PACE) on January 26, 2023 (7th sitting), under the urgent procedure, a text was adopted by 100 votes in favour, none against, and one abstention: a Resolution on the “Legal and human rights aspects of the Russian Federation's aggression against Ukraine.”

Tomila Lankina’s The Estate Origins of Democracy in Russia, published by Cambridge University Press in 2021, is a very powerful and thought-provoking book. It contains a bold argument, exhibiting the author’s erudition across several disciplines, as well as an unusual richness of empirical evidence and an exquisite prose style. The book delves into the intricacies of social resilience in the aftermath of the Russian Revolution. Contrary to the notion that the Bolshevik Revolution served as “the great leveler,” Lankina demonstrates the enduring presence of Tsarist-era estates within the social fabric throughout the Soviet era and even into the post-Soviet period. The estates encompassed a system of legal classifications that stratified Russian imperial society into distinct categories: aristocracy, clergy, merchants, and meshchane (petty bourgeoisie), as well as peasants. Lankina’s primary focus lies upon the meshchane, an estate that, by the twilight of the tsarist regime, accounted for approximately 10 percent of the empire’s total population.1 Within Lankina’s narrative, the meshchane emerged as an imperial middle class – comprising individuals such as small shopkeepers, rentiers, doctors, teachers, engineers – who mostly resided in urban centers and towns. Many among this group hailed from ethnic and religious minority backgrounds, including Jewish, Polish, German, Old Believers, and others.

Let G be a graph with m edges, minimum degree $\delta $ and containing no cycle of length 4. Answering a question of Bollobás and Scott, Fan et al. [‘Bisections of graphs without short cycles’, Combinatorics, Probability and Computing 27(1) (2018), 44–59] showed that if (i) G is $2$-connected, or (ii) $\delta \ge 3$, or (iii) $\delta \ge 2$ and the girth of G is at least 5, then G admits a bisection such that $\max \{e(V_1),e(V_2)\}\le (1/4+o(1))m$, where $e(V_i)$ denotes the number of edges of G with both ends in $V_i$. Let $s\ge 2$ be an integer. In this note, we prove that if $\delta \ge 2s-1$ and G contains no $K_{2,s}$ as a subgraph, then G admits a bisection such that $\max \{e(V_1),e(V_2)\}\le (1/4+o(1))m$.

The main theme of this paper is to study $\tau $-tilting subcategories in an abelian category $\mathscr {A}$ with enough projective objects. We introduce the notion of $\tau $-cotorsion torsion triples and investigate a bijection between the collection of $\tau $-cotorsion torsion triples in $\mathscr {A}$ and the collection of support $\tau $-tilting subcategories of $\mathscr {A}$, generalizing the bijection by Bauer, Botnan, Oppermann, and Steen between the collection of cotorsion torsion triples and the collection of tilting subcategories of $\mathscr {A}$. General definitions and results are exemplified using persistent modules. If $\mathscr {A}=\mathrm{Mod}\mbox {-}R$, where R is a unitary associative ring, we characterize all support $\tau $-tilting (resp. all support $\tau ^-$-tilting) subcategories of $\mathrm{Mod}\mbox {-}R$ in terms of finendo quasitilting (resp. quasicotilting) modules. As a result, it will be shown that every silting module (resp. every cosilting module) induces a support $\tau $-tilting (resp. support $\tau ^{-}$-tilting) subcategory of $\mathrm{Mod}\mbox {-}R$. We also study the theory in $\mathrm {Rep}(Q, \mathscr {A})$, where Q is a finite and acyclic quiver. In particular, we give an algorithm to construct support $\tau $-tilting subcategories in $\mathrm {Rep}(Q, \mathscr {A})$ from certain support $\tau $-tilting subcategories of $\mathscr {A}$.

In this paper, the design of a circularly polarized (CP) multiple-input–multiple-output (MIMO) antenna system is presented, utilizing a dielectric resonator (DR). This presented antenna system is subsequently integrated with a multifunctional filter, all meticulously structured on a single substrate. The multifunctional filter operates in three modes: reconfigurable band-pass and band-reject filter as well as all-pass filter. The overall structure works as a tunable filtenna. The designed filtenna is expanded into a two-port MIMO system on a unified substrate, providing strong port isolation below −28.5 dB. The overall dimension of proposed radiator is 180 × 180 × 1.6 mm3. The value of peak gain is 5.19 dBic. By switching the states of PIN diodes, the designed filtenna operates as a sensing and communicating antenna for interweave and underlay cognitive radios (CRs). The proposed antenna supports the CP waves within the working band, i.e., 3.6–4.5 GHz. The simulated results are validated by comparing them with the measured results showing less variation among them. MIMO parameters, including the envelope correlation coefficient and diversity gain, have been calculated for the proposed filtenna, representing its suitability for 5G-CR applications.

We prove the following conjecture of Z.-W. Sun [‘On congruences related to central binomial coefficients’, J. Number Theory 13(11) (2011), 2219–2238]. Let p be an odd prime. Then

$$ \begin{align*} \sum_{k=1}^{p-1}\frac{\binom{2k}k}{k2^k}\equiv-\frac12H_{{(p-1)}/2}+\frac7{16}p^2B_{p-3}\pmod{p^3}, \end{align*} $$

where $H_n$ is the nth harmonic number and $B_n$ is the nth Bernoulli number. In addition, we evaluate $\sum _{k=0}^{p-1}(ak+b)\binom {2k}k/2^k$ modulo $p^3$ for any p-adic integers $a, b$.

In this paper, two second-order electronically tunable bandpass filters are presented. The filters are implemented in microstrip technology using barium–strontium–titanate (BST) varactors and digitally tunable capacitors (DTC) for tuning the frequency response of the bandpass filters. The filter realized using BST varactors has a 35% tuning range from 900 MHz to 1.275 GHz with an insertion loss variation from 3.1 to 2.6 dB. The absolute bandwidth is nearly constant over the entire tuning range, varying from 64 to 72 MHz (around ±5% variation). The filter realized using DTCs also has a 36% tuning range from 850 MHz to 1.225 GHz with an insertion loss variation from 3.1 to 1.5 dB. The absolute bandwidth is constant over the tuning range, varying from 88 to 98 MHz (around ±5% variation). The bandpass filters are tuned using a single control signal. The tunable bandpass filters are proposed for use in reconfigurable radios.

In this article, we celebrate Dante Cicchetti’s extensive contributions to the discipline of developmental psychopathology. In his seminal article, he articulated why developmental psychopathology was imperative to create research portfolios that could inform the causes, consequences, and trajectories for adults often initiated by early lived experiences (Cicchetti, 1984). In this three-part article, we share our transdisciplinary efforts to use developmental psychopathology as a foundational theory from which to develop, implement, and evaluate interventions for populations who experienced early adversity or who were at risk for child abuse and neglect. After describing interventions conducted at Mt. Hope Family Center that spanned over three decades, we highlight the criticality of disseminating results and address policy implications of this work. We conclude by discussing future directions to facilitate work in developmental psychopathology. Currently, one of three national National Institute of Child Health and Human Development-funded child abuse and neglect centers, we look forward to continuing to build upon Dante’s efforts to disseminate this important work to improve society for our children, our nation’s often most vulnerable and forgotten citizens.

This paper focuses on the historical development and dynamics of political and administrative structures in regions of a fragmented empire that cannot be simply described as marginal ‘mouseholes’. Rather, it should be acknowledged that these spaces were part and parcel of a wider area (the Byzantine insular and coastal koine), which encompassed coastal areas as well as insular communities promoting socio-economic contact and cultural interchange. More importantly, they also boasted a peculiar set of material indicators suggesting a certain common cultural unity and identity. The koine coincided with liminal territories and the seas on which the Byzantine Empire retained political and naval rulership. Such liminal territories showed varied – yet coherent– administrative infrastructures and political practices on the part of local elites.