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.

This reflection on the history and future of developmental resilience science (DRS) highlights its co-emergence with developmental psychopathology (DP), as well as the roles of this journal and its founding editor, Dante Cicchetti, in the evolution of these intertwined domains of scholarship. A remarkable constellation of scholars at the University of Minnesota shaped the course of both conceptual frameworks and their dissemination. I describe fundamental assumptions common to DP and DRS frameworks that reflect their common roots and the pervasive influence of systems theory on developmental science. I describe four waves of DRS and key principles of DRS at the present time. In conclusion, I consider the possibility that a fifth wave of DRS is emerging with a focus on understanding patterns of multisystem, multilevel processes of resilience and their implications for interventions in the context of interacting, interdependent, and complex adaptive systems. I close this commentary with questions for future research and a hopeful outlook on the future of human resilience.

Vulnerability is a notion discussed in feminist philosophy as a basis for a morality that widens our sense of those whose deaths are grievable. Vulnerability and grievability also factor in reproductive ethics. This essay employs recognition theory to analyze critically how these notions are mobilized in conservative Christian anti-abortion writings and in feminist philosophy. This analysis exposes weaknesses and misrecognition in both sets of discourses. In response, I offer theological arguments for recognizing fetal value without implying a right to life and for acknowledging how human finitude and the precarity of pregnancy render gestational hospitality a discretionary, not obligatory, moral act.

The end of World War I brought not only the end of a great slaughter but also the creation of new countries, great expectations of better living conditions, and the promise of an end of scarcity. In Maribor, a contested border town occupied by Slovenian troops and annexed to the newly established State of Slovenes, Croats, and Serbs, expectations were even higher. A part of the population opposed the town's annexation to the newly established state and compared the living conditions at home with those in Austria. As early as November 1918, the Slovene City Food Council was established in Maribor to feed the city's population. It introduced measures similar to those introduced during the war, such as food ration cards. Despite these measures, food shortages and hunger were part of everyday life, especially in the winter of 1918–19. This article discusses civilians' survival strategies, as well as continuities and discontinuities between wartime and postwar measures to improve the food supply. It shows that despite the efforts of the new Yugoslav authorities, they often continued wartime practices and food remained of poor quality and difficult to access for most of the population throughout 1919.

We analyse the asymptotic dynamics of quasilinear parabolic equations when solutions may grow up (i.e. blow up in infinite time). For such models, there is a global attractor which is unbounded and the semiflow induces a nonlinear dynamics at infinity by means of a Poincaré projection. In case the dynamics at infinity is given by a semilinear equation, then it is gradient, consisting of the so-called equilibria at infinity and their corresponding heteroclinics. Moreover, the diffusion and reaction compete for the dimensionality of the induced dynamics at infinity. If the equilibria are hyperbolic, we explicitly prove the occurrence of heteroclinics between bounded equilibria and/or equilibria at infinity. These unbounded global attractors describe the space of admissible initial data at event horizons of certain black holes.

For $\mathscr {B} \subseteq \mathbb {N} $, the $ \mathscr {B} $-free subshift $ X_{\eta } $ is the orbit closure of the characteristic function of the set of $ \mathscr {B} $-free integers. We show that many results about invariant measures and entropy, previously only known for the hereditary closure of $ X_{\eta } $, have their analogues for $ X_{\eta } $ as well. In particular, we settle in the affirmative a conjecture of Keller about a description of such measures [G. Keller. Generalized heredity in $\mathcal B$-free systems. Stoch. Dyn. 21(3) (2021), Paper No. 2140008]. A central assumption in our work is that $\eta ^{*} $ (the Toeplitz sequence that generates the unique minimal component of $ X_{\eta } $) is regular. From this, we obtain natural periodic approximations that we frequently use in our proofs to bound the elements in $ X_{\eta } $ from above and below.

Ebnerite and epiebnerite, both with the ideal formula NH4ZnPO4, are new mineral species from the Rowley mine, Maricopa County, Arizona, USA. They occur in an unusual bat-guano-related, post-mining assemblage of phases. Epiebnerite grows epitactically on ebnerite and replaces it. Ebnerite and epiebnerite are found in intimate association with alunite, halite, mimetite, newberyite, sampleite, struvite and wulfenite on hematite-rich quartz–baryte matrix. Crystals of ebnerite are colourless narrow prisms up to ~0.3 mm in length. The streak is white, lustre is vitreous, Mohs hardness is ~2, tenacity is brittle and fracture is splintery. The density is 2.78(2) g⋅cm–3. Ebnerite is optically uniaxial (–) with ω = 1.585(2) and ɛ = 1.575(2). Epiebnerite occurs as colourless prisms or blades, up to about 10 × 3 × 2 μm, in parallel growth forming ribs with serrated edges epitactic on ebnerite prisms. The streak is white, lustre is vitreous, Mohs hardness is probably ~2, tenacity is brittle. The calculated density is 2.851 g⋅cm–3. Epiebnerite is optically biaxial with all indices of refraction near 1.580. Electron microprobe analysis gave the empirical formula [(NH4)0.89K0.06]Σ0.95(Zn0.96Cu0.07)Σ1.03[(P0.97Si0.03)Σ1.00O4] for ebnerite and [(NH4)0.67K0.28]Σ0.95(Zn0.99Cu0.02)Σ1.02(P1.00O4) for epiebnerite. Ebnerite is hexagonal, P63, with a = 10.67051(16), c = 8.7140(2) Å, V = 859.25(3) Å3 and Z = 8. Epiebnerite is monoclinic, P21, with a = 8.796(16), b = 5.457(16), c = 8.960(16) Å, β = 90.34(6)°, V = 430.1(17) Å3 and Z = 4. The structures of ebnerite (R1 = 0.0372 for 1168 Io > 2σI reflections) and epiebnerite (known from synthetic monoclinic NH4ZnPO4) are zeolite-like frameworks based upon corner-sharing linkages between alternating ZnO4 and PO4 tetrahedra with channels in the frameworks hosting the NH4 groups. The two structures are topologically distinct. Ebnerite belongs to the family of ‘stuffed derivatives’ of tridymite, whereas epiebnerite possesses an ABW-type zeolite structure.

This article examines the last moments of the emperor Theophilos and how his dying moments are related in Byzantine historiography. His religious policy is central here. In fact, Theophilos’ stance on images is what allows us today to categorize narratives of his final moments, based on whether he repented for his iconoclastic policy. Three groups of narratives can be distinguished; those that claim that the emperor repented, those that claim that he did not, and those that are silent on the issue. Death narratives in historical writing constitute a commonplace in Kaiserkritik, and Theophilos’ dying moments are no exception.