If $\mu $ is a smooth measure supported on a real-analytic submanifold of ${\mathbb {R}}^{2n}$ which is not contained in any affine hyperplane, then the Weyl transform of $\mu $ is a compact operator.

It is a widespread idea that suspended judgement implies a state of doxastic neutrality. Jane Friedman has recently claimed that while inquiring into a given question, one suspends one's judgement on it. Jointly considered, the previous claims imply that one is in a state of doxastic neutrality about a given question while inquiring into it. In this article, I explore the leading cases against Friedman's perspective, arguing that it is debatable whether they exhibit inquiries into questions without doxastic neutrality. However, I will propose the possibility of “explorative disconfirmation inquiries” to show that doxastically non-neutral inquiries do exist.

A monic polynomial $f(x)\in {\mathbb Z}[x]$ of degree N is called monogenic if $f(x)$ is irreducible over ${\mathbb Q}$ and $\{1,\theta ,\theta ^2,\ldots ,\theta ^{N-1}\}$ is a basis for the ring of integers of ${\mathbb Q}(\theta )$, where $f(\theta )=0$. We use the classification of the Galois groups of quartic polynomials, due to Kappe and Warren [‘An elementary test for the Galois group of a quartic polynomial’, Amer. Math. Monthly 96(2) (1989), 133–137], to investigate the existence of infinite collections of monogenic quartic polynomials having a prescribed Galois group, such that each member of the collection generates a distinct quartic field. With the exception of the cyclic case, we provide such an infinite single-parameter collection for each possible Galois group. We believe these examples are new and we provide evidence to support this belief by showing that they are distinct from other infinite collections in the literature. Finally, we devote a separate section to the cyclic case.

This study evaluates the visibility of French-speaking scholars in Canadian political science by analyzing the reading materials assigned in Canadian politics courses. Extending Daoust et al.'s (2022) research, we establish a baseline for their calculations and build an original dataset gathered from all political science departments’ websites and Google Scholar. Our analysis based on three assumptions about the expected academic representation of francophones—Canada's linguistic composition, the makeup of political science departments and faculty members’ productivity—reveals a discrepancy favouring anglophone scholars by up to four percentage points. Our findings extend Daoust et al.'s (2022) contribution by highlighting a similar language-based bias in overall citation practices among Canadian scholars, with French-speaking authors being significantly under-cited compared to their English-speaking counterparts despite demonstrating higher levels of overall productivity. Implications for the future of the discipline are also discussed.

The present study examined longitudinal trajectory classes and correlates of triarchic psychopathy domains (boldness, meanness, and disinhibition) from age 16 to 22, leveraging Multidimensional Personality Questionnaire (MPQ)-based triarchic scales data gathered on a large community sample (ns ranging between 483 and 775 across waves) oversampled for parental substance use disorder (SUD). Growth mixture models were conducted to examine longitudinal trajectory classes for each domain, and their associations with environmental covariates (e.g., neighborhood disadvantage and parental SUD) and outcomes at age 22 (e.g., violent behavior, antisocial personality disorder, and an overall problem index capturing internalizing symptoms and social problems). For boldness, all participants fell in the same class showing relative stability over time. Comparable solutions were recovered for meanness and disinhibition (high-stable/increasing, mid-range decreasing, and low-decreasing). Links with external correlates supported well-known differences between boldness and both meanness and disinhibition and additionally revealed interesting differences between meanness and disinhibition, suggesting that environmental covariates better discriminated meanness trajectory classes. These results demonstrate considerable developmental heterogeneity in these traits across adolescence into young adulthood, which relates to outcomes associated with antisociality and general life struggles. Further, these findings support the adequacy of the MPQ as an operationalization tool for longitudinal investigations on psychopathy.

Acquired prosopagnosia is a rare disorder, but it serves as a model for impairments in expert-level visual processing. This review discusses five key observations made over the past 30 years. First, there are variants, an apperceptive type linked to damage to the inferior occipitotemporal cortex and an amnestic type associated with anterior temporal lesions, both either right or bilateral. Second, these variants are clustered in syndromes with other perceptual deficits, the apperceptive type with field defects, dyschromatopsia and topographagnosia, and the amnestic type with topographagnosia and the auditory disorders of phonagnosia and acquired amusia. Third, extensive testing often shows additional problems with recognizing exemplars of other objects, especially when degrees of expertise are taken into account. Fourth, the prosopagnosic impairment does not affect all facial information. For example, the perception of expression and lip-reading likely depends on other neural substrates than those for processing facial identity. Last, face perception in prosopagnosia is not immutable but can improve with extensive training, though as yet this does not represent a cure for the condition. Continuing work with neural networks and animal models will enhance our understanding of this intriguing condition and what it tells us about how our brains process vision.

Radiculomegaly is a rare dental anomaly characterised by the enlargement of the root canals of teeth. It is usually associated with oculo-facio-cardio-dental (OFCD) syndrome due to truncating variants in BCL-6 transcriptional corepressor (BCOR) (MIM*300485). We present the case of a 21-year-old female patient who was referred to genetics for a polymalformative syndrome including bilateral glaucoma and dental anomalies, especially radiculomegaly. Some others dysmorphic features were right superior lip notch, ogival palate, long philtrum, difficulty in pronation, café-au-lait spots, II-III toe bilateral syndactyly, and macrocephaly. Cone-beam CT confirmed radiculomegaly. The genetic analysis identified a heterozygous pathogenic variant NM_001123385.1:c.2093del (p.Pro698Glnfs*17) in the BCOR gene. After genetic diagnosis of OFCD syndrome, cardiac CT-scan revealed a large asymptomatic atrial septal defect that was subsequently surgically closed. Reviews of the literature have previously highlighted the prevalence of radiculomegaly in OFCD syndrome with a positive predictive value of 88.23% and a sensitivity of 75.94%. This case report highlights the importance of radiculomegaly as a clinical sign of OFCD syndrome, emphasising the rarity of non-syndromic radiculomegaly and the benefits of its diagnosis in clinical management, especially in cardiac screening.

This study verified the accuracy of the international BMI references and the allometric BMI reference to diagnose obesity in children and adolescents from the USA. Data from 17 313 subjects were obtained from the National Health and Nutrition Examination Survey between the years 1999–2006 and 2011–2018. Fat Mass Index, Allometric Fat Mass Index and fat mass/fat-free mass were calculated. Receiver operating characteristic curve, AUC, sensitivity, specificity, positive likelihood ratio and negative likelihood ratio were estimated to evaluate the accuracy of the growth references for diagnosing obesity. The International Obesity Task Force, MULT BMI 17 years, MULT BMI 18 years and allometric BMI 19 years achieved the best sensitivity-specificity trade-off for boys, with sensitivities ranging from 0·92 to 0·96 and specificities of 0·94, with positive likelihood ratio of 15·51, 16·17, 13·46 and 18·01, respectively. The negative likelihood ratios were notably low, ranging from 0·04 to 0·08. In girls, the International Obesity Task Force, MULT BMI 17 years and MULT allometric BMI 17 years also demonstrated high sensitivity (0·95–0·97) and specificity (0·92), with positive likelihood ratio values of 11·54, 11·82 and 11·77, respectively and low negative likelihood ratio values (0·03–0·05). In summary, these international growth references presented satisfactory performance to diagnose obesity. However, the MULT growth reference performed better, and the MULT allometric BMI was the only indicator capable of detecting that girls have a higher proportion of fat mass than boys for the same index values. These findings suggest that the MULT growth reference may be a better tool to assess the nutritional status of children and adolescents internationally.

We investigate when a group of the form $G\times \mathbb {Z}^m\ (m\geq 1)$ has the finitely generated fixed subgroup property of automorphisms ($\mathrm {FGFP_a}$), by using the BNS-invariant, and provide some partial answers and nontrivial examples.

This article focuses on the use of banal nationalism outside of the realm of formal politics. I examine several cases of major airports renaming in the Balkans, aiming to uncover distinctive logic behind the state introduction of nationalism in the ostensibly non-political domain. Based on the intended audience (domestic/international) and the chosen commemorative name (accepted/contested), I uncover two paths to banal nationalism: (1) internationally-oriented nation branding and (2) domestically-oriented memorialization. The analysis shows that the same action of renaming the airport can be normalized and taken for granted as assumed by the banal nationalism literature, or it can remain highly visible and disputed, leading to high-profile “hot” nationalism, indicating the failure of banalization. This article calls for more investigation of nationalism in everyday spaces that are not part of formal state domain and politics.

The categorisation of personality pathology into discrete disorders has been an enduring standard. However, dimensional models of personality are becoming increasingly prominent, in part owing to their superior validity and clinical utility. We contend that dimensional models also offer a unique advantage in treating mental illness. Namely, psychotherapy approaches and the components of dimensional models of personality can both be arranged hierarchically, from general to specific factors, and aligning these hierarchies provides a sensible framework for planning and implementing treatment. This article begins with a brief review of dimensional models of personality and their supporting literature. We then outline a multidimensional framework for treatment and present an illustrative fictitious clinical case before ending with recommendations for future directions in the field.

For fixed m and a, we give an explicit description of those subsets of ${\mathbb F}_{q}$, q odd, for which both x and $mx+a$ are quadratic residues (and other combinations). These results extend and refine results that date back to Gauss.

We study computational aspects of repulsive Gibbs point processes, which are probabilistic models of interacting particles in a finite-volume region of space. We introduce an approach for reducing a Gibbs point process to the hard-core model, a well-studied discrete spin system. Given an instance of such a point process, our reduction generates a random graph drawn from a natural geometric model. We show that the partition function of a hard-core model on graphs generated by the geometric model concentrates around the partition function of the Gibbs point process. Our reduction allows us to use a broad range of algorithms developed for the hard-core model to sample from the Gibbs point process and approximate its partition function. This is, to the extent of our knowledge, the first approach that deals with pair potentials of unbounded range.

The crystal structure of gepirone has been solved and refined using synchrotron X-ray powder diffraction data and optimized using density functional theory techniques. Gepirone crystallizes in space group P21/a (#14) with a = 16.81794(14), b = 11.71959(5), c = 10.10195(4) Å, β = 95.7012(5)°, V = 1981.239(14) Å3, and Z = 4 at 298 K. The crystal structure consists of discrete gepirone molecules. There are no classical hydrogen bonds in the crystal structure, but several intra- and intermolecular C–H⋯N and C–H⋯O hydrogen bonds contribute to the lattice energy. The powder pattern has been submitted to ICDD® for inclusion in the Powder Diffraction File™ (PDF®).

Based on the discursive analysis of 28 semidirected interviews conducted in the small industrial town of Martfű, this article reflects on the role played by nationalism in the construction of political and cultural hegemony by Viktor Orbán’s Fidesz, Hungary’s ruling party since 2010. The ten themes mobilised by the respondents to express their vision of the Hungarian nation (identification, belonging, commitment, transmission, territory, uniqueness/fragility, heterogeneity/homogeneity, unity/division, east/west, and insubordination) and the issues attached to them (relationship to Hungarian minorities of neighbouring countries, relationship to the European Union, immigration, etc.) are paralleled with Fidesz’s discourse. On those subjects, Orbán’s party’s nationalism positions itself in a “central” way, managing to incarnate heterogeneous conceptions of the nation that are shared among this research’s respondents by Fidesz as well as non-Fidesz voters.

Female crabs enter a stage of rapid ovarian development after mating, and cholesterol is a substrate for steroid hormone synthesis. Therefore, in this experiment, an 8-week feeding trial was conducted to investigate the effects of mating treatments (mated crab and unmated crab) and three dietary cholesterol levels (0·09 %, 0·79 % and 1·40 %) on ovarian development, cholesterol metabolism and steroid hormones metabolism of adult female swimming crab (Portunus trituberculatus). The results indicated that crabs fed the diet with 0·79 % cholesterol significantly increased gonadosomatic index (GSI) and vitellogenin (VTG) content than other treatments in the same mating status. Moreover, mated crabs had markedly increased GSI and VTG content in the ovary and hepatopancreas than unmated crabs. The histological observation found that exogenous vitellogenic oocytes appeared in the mated crabs, while previtellogenic oocytes and endogenous vitellogenic oocytes were the primary oocytes in unmated crabs. The transmission electron microscopy analysis showed that when fed diet with 0·79 % cholesterol, the unmated crabs contained more rough endoplasmic reticulum and mated crabs had higher yolk content than other treatments. Furthermore, mating treatment and dietary 0·79 % cholesterol level both promoted cholesterol deposition by up-regulation of the mRNA and protein expression levels of class B scavenger receptors 1 (Srb1), while stimulating the secretion of steroid hormones by up-regulation of the mRNA and protein expression of steroidogenic acute regulatory protein (Star). Overall, the present results indicated that mating behaviour plays a leading role in promoting ovarian development, and dietary 0·79 % cholesterol level can further promote ovarian development after mating.