We provide a purely combinatorial proof of a skein exact sequence obeyed by double-point enhanced grid homology. We also extend the theory to coefficients over $\mathbb {Z},$ and discuss alternatives to the Ozsváth–Szabó $\tau $ invariant.

In this article, we prove a generalized Rodrigues formula for a wide class of holonomic Laurent series, which yields a new linear independence criterion concerning their values at algebraic points. This generalization yields a new construction of Padé approximations including those for Gauss hypergeometric functions. In particular, we obtain a linear independence criterion over a number field concerning values of Gauss hypergeometric functions, allowing the parameters of Gauss hypergeometric functions to vary.

Let $f_0$ and $f_1$ be two homogeneous polynomials of degree d in three complex variables $z_1,z_2,z_3$. We show that the Lê–Yomdin surface singularities defined by $g_0:=f_0+z_i^{d+m}$ and $g_1:=f_1+z_i^{d+m}$ have the same abstract topology, the same monodromy zeta-function, the same $\mu ^*$-invariant, but lie in distinct path-connected components of the $\mu ^*$-constant stratum if their projective tangent cones (defined by $f_0$ and $f_1$, respectively) make a Zariski pair of curves in $\mathbb {P}^2$, the singularities of which are Newton non-degenerate. In this case, we say that $V(g_0):=g_0^{-1}(0)$ and $V(g_1):=g_1^{-1}(0)$ make a $\mu ^*$-Zariski pair of surface singularities. Being such a pair is a necessary condition for the germs $V(g_0)$ and $V(g_1)$ to have distinct embedded topologies.

A terminating sequent calculus for intuitionistic propositional logic is obtained by modifying the R$\supset $ rule of the labelled sequent calculus $\mathbf {G3I}$. This is done by adding a variant of the principle of a fortiori in the left-hand side of the premiss of the rule. In the resulting calculus, called ${\mathbf {G3I}}_{\mathbf {t}}$, derivability of any given sequent is directly decidable by root-first proof search, without any extra device such as loop-checking. In the negative case, the failed proof search gives a finite countermodel to the sequent on a reflexive, transitive, and Noetherian Kripke frame. As a byproduct, a direct proof of faithfulness of the embedding of intuitionistic logic into Grzegorcyk logic is obtained.

Inequalities in terms of who participates in politics yield policy outcomes that fail to reflect the interests of the broader public. Because these processes fail to engage the full citizenry in political decision-making processes, they are also markers of an anemic civic culture. Advocates of participatory budgeting (PB) – a process implemented at the subnational level in thousands of cities in the United States and beyond that invites residents to participate directly in the process of allocating public resources for local projects – argue that it can alleviate these inequalities. They argue that features of the PB process make it ripe for engaging new participants in the political process and weaving a more inclusive social fabric. We examine the correlates of interest in participating in PB using a survey of Cook County residents. We also consider the extent to which the policy priorities of those who are interested in participating diverge from those who are less interested. Although we find evidence that the process is particularly appealing to younger respondents and those who identify as Latine or Black (as opposed to White), we also find that interest is higher among those with higher socioeconomic status and those who perceive conditions in their neighborhood to already be good. Our evidence also suggests that inequalities in who is interested in participating may not radically affect policy outcomes. However, those who decline to participate cannot reap the broader social and political benefits advocates hope the PB process can foster.

This article examines the comparison constructions in two Northern Talyshi varieties: in Anbarāni, used in the Islamic Republic of Iran; and the Northern Talyshi dialects spoken in the Republic of Azerbaijan. These constructions have been poorly studied in previous research dealing with this North-western Iranian language and this article aims to fill that gap. In contrast with a number of Western Iranian languages, Northern Talyshi (and the Talyshi language in general) does not have special morphological markers for expressing the degrees of comparison. The comparative grades are marked syntactically using various adpositions and function words. Having long been under the influence of neighbouring languages such as Persian and Azerbaijani, both Anbarāni and the Talyshi dialects spoken in the present-day Republic of Azerbaijan have been affected by these languages at some level in the ways to make comparison.

The COVID-19 pandemic has precipitated a significant mental health crisis among frontline healthcare workers (FHCWs), with increased reports of depression, anxiety, post-traumatic stress, insomnia, and suicidal thoughts. This letter to the editor responds to a recent study on the psychological burden among FHCWs in Mexico and presents complementary findings from Taiwan. We found that fear of COVID-19, trust in information, and resilience were significant factors contributing to mental health outcomes, including insomnia and suicidal thoughts, among outpatients, healthcare workers, and the general population during the pandemic. These findings suggest that mental health interventions for healthcare workers should consider these factors and include strategies for clear communication, stress management, and resilience building. Particular attention should be given to nurses and residents/fellows who seem to be bearing a disproportionate share of the psychological burden. Ultimately, understanding these contributing factors can guide the development of targeted interventions to support the mental well-being of FHCWs during the pandemic.

The Lake Wobegon effect, named for the fictional town where all children are above average, is well documented in surveys about education. Respondents tend to rate their local public schools higher in quality than schools overall in the state or nation, even despite contrary evidence. One potential explanation for this disconnect is a psychological construct known as “illusory superiority.” While the superiority aspect of illusory superiority is well studied, the illusory nature of these attitudes typically is assumed rather than empirically demonstrated. Further, the predictors of these attitudes also merit exploration. We seek to address both of these points. We hypothesize that illusory superiority in the context of attitudes toward public education may be driven in part by self-interest, and thus may be more likely to be found among those with the biggest stake in local schools, such as parents of students, homeowners, and longtime residents. Using survey data from Massachusetts, we find a factual basis for illusory superiority by comparing perceptions of local school performance on standardized tests to actual scores. We also model predictors of illusory superiority, including property ownership, length of residency, and having children enrolled in public schools, and the role that illusory superiority may play in school ratings. We then assess the effects of overstatement of test scores on attitudes toward a key educational issue – whether to increase taxes to provide additional funding for local schools.

The aim of this research was to investigate the effect of Coenzyme Q10 (CoQ10) on the expression of the Transcription Factor A Mitochondrial (Tfam) gene and mtDNA copy number in preantral follicles (PFs) of mice during in vitro culture. To conduct this experimental study, PFs were isolated from 14-day-old National Medical Research Institute mice and cultured in the presence of 50 µm CoQ10 for 12 days. On the 12th day, human chorionic gonadotropin was added to stimulate ovulation. The fundamental parameters, including preantral follicle developmental rate and oocyte maturation, were evaluated. Additionally, the Tfam gene expression and mtDNA copy number of granulosa cells and oocytes were assessed using the real-time polymerase chain reaction. The results revealed that CoQ10 significantly increased the diameter of PFs, survival rate, antrum formation, and metaphase II (MII) oocytes (P < 0.05). Moreover, in the CoQ10-treated groups, the Tfam gene expression in granulosa cells and oocytes increased considerably compared with the control group. The mtDNA copy number of granulosa cells and oocytes cultured in the presence of CoQ10 was substantially higher compared with the control groups (P < 0.05). The addition of CoQ10 to the culture medium enhances the developmental competence of PFs during in vitro culture by upregulating Tfam gene expression and increasing mtDNA copy number in oocyte and granulosa cells.

Hazariprasad Dwivedi's 1946 novel, Bāṇabhaṭṭa kī ‘ātmakathā’, has long been considered one of the most prominent historical novels in modern Hindi literature, canonised in literary history for its progressive view of the past and for elaborating an autobiographical voice for the seventh-century Sanskrit poet, Bāṇa. However, the many layers of fictive authorship that enfold the main narrative of the text are rarely taken into account. Examination of the metatextual materials of this text reveal, however, that Bāṇabhaṭṭa kī ‘ātmakathā’ is meant to be read in terms of the problem of its authorship, in such a way as to problematise the autobiographical voice that it presents to the reader. In this article, I analyse this material and argue that the actual author of the text, described as an Austrian woman named Catherine, is most likely inspired by Stella Kramrisch. Further analysis shows this novel to be deeply shaped by the intellectual milieu of interwar Bengal, where Dwivedi was a teacher at Shantiniketan and engaged in commenting upon the complex intellectual traditions that existed in part of that world.

In this work, we introduce rental markets in a general equilibrium model with borrowing constraints and infinitely lived agents. We estimate our model using standard Bayesian methods and match US data on recent decades. We highlight a crucial relationship that strongly links interest rates, house prices, and rents. It represents agents’ arbitrage when choosing their degree of participation in the housing market (i.e. their real estate holdings). This framework is particularly well suited for explaining how policy-induced changes in households’ preferences have driven house prices up while pushing rent-price ratios down in the aftermath of the Covid-19 outbreak. It also allows us to parsimoniously track the unequal impact of these changes on agents’ decisions and welfare, which crucially depends on whether they are owners or renters.

Climate change is expected to affect parasitic nematodes and hence possibly parasite–host dynamics and may have far-reaching consequences for animal health, livestock production, and ecosystem functioning. However, there has been no recent overview of current knowledge to identify how studies could contribute to a better understanding of terrestrial parasitic nematodes under changing climates. Here we screened almost 1,400 papers to review 57 experimental studies on the effects of temperature and moisture on hatching, development, survival, and behaviour of the free-living stages of terrestrial parasitic nematodes with a direct life cycle in birds and terrestrial mammals. Two major knowledge gaps are apparent. First, research should study the temperature dependency curves for hatching, development, and survival under various moisture treatments to test the interactive effect of temperature and moisture. Second, we specifically advocate for more studies that investigate how temperature, and its interaction with moisture, affect both vertical and horizontal movement of parasitic nematodes to understand infection risks. Overall, we advocate for more field experiments that test environmental effects on life-history traits and behaviour of parasitic nematodes in their free-living stages under natural and realistic circumstances. We also encourage studies to expand the range of used hosts and parasitic nematodes because 66% of results described in the available studies use sheep and cattle as hosts and 32% involve just three nematode species. This new comprehension brings attention to understudied abiotic impacts on terrestrial parasitic nematodes and will have broader implications for livestock management, wildlife conservation, and ecosystem functioning in a rapidly warming climate.