Quantum finite automata and linear context-free languages: a decidable problem

We consider the so-called measure once finite quantum automata model introduced by Moore and Crutchfield in 2000. We show that given a language recognized by such a device and a linear context-free language, it is recursively decidable whether or not they have a nonempty intersection. This extends a result of Blondel et al. which can be interpreted as solving the problem with the free monoid in place of the family of linear context-free languages. © 2013 Springer-Verlag

Obstetric Healthcare Workers' Adherence to Hand Hygiene Recommendations during the COVID-19 Pandemic: Observations and Social-Cognitive Determinants.

BACKGROUND: Hand hygiene is crucial to avoid healthcare-associated infections and the transmission of COVID-19. Although the WHO has issued global hand hygiene recommendations for healthcare, adherence remains challenging. Considering social-cognitive theories such as the health action process approach (HAPA) can help to improve healthcare workers' adherence. This study aimed to observe adherence and to assess determinants in obstetric hospitals during and after the onset of the COVID-19 pandemic. METHODS: In all, 267 observations of behaviour were conducted in two German obstetric university hospitals over three time periods (pre-COVID-19 pandemic, heightened awareness, and strict precautions). In addition, 115 healthcare workers answered questionnaires regarding social-cognitive determinants of hand hygiene behaviour. Multiple regression and multiple mediation analyses were used to analyse associations. RESULTS: Adherence to hand hygiene recommendations increased from 47 per cent pre-COVID-19 pandemic to 95 per cent just before lockdown while simple measures against the pandemic were taken. Self-efficacy was associated with the intention to sanitise hands (β = .397, p < .001). Coping self-efficacy mediated the association of intention with hand hygiene adherence. CONCLUSIONS: Obstetric healthcare workers seem to adapt their hand hygiene behaviour to prevent infections facing the global COVID-19 pandemic. To further improve interventions, social-cognitive determinants should be considered, especially intention and (coping) self-efficacy

Cluster algebras of type A2(1)A_2^{(1)}

In this paper we study cluster algebras \myAA of type $A_2^{(1)}$. We solve the recurrence relations among the cluster variables (which form a T--system of type $A_2^{(1)}$). We solve the recurrence relations among the coefficients of \myAA (which form a Y--system of type $A_2^{(1)}$). In \myAA there is a natural notion of positivity. We find linear bases \BB of \myAA such that positive linear combinations of elements of \BB coincide with the cone of positive elements. We call these bases \emph{atomic bases} of \myAA. These are the analogue of the "canonical bases" found by Sherman and Zelevinsky in type $A_{1}^{(1)}$. Every atomic basis consists of cluster monomials together with extra elements. We provide explicit expressions for the elements of such bases in every cluster. We prove that the elements of \BB are parameterized by \ZZ^3 via their $\mathbf{g}$--vectors in every cluster. We prove that the denominator vector map in every acyclic seed of \myAA restricts to a bijection between \BB and \ZZ^3. In particular this gives an explicit algorithm to determine the "virtual" canonical decomposition of every element of the root lattice of type $A_2^{(1)}$. We find explicit recurrence relations to express every element of \myAA as linear combinations of elements of \BB.Comment: Latex, 40 pages; Published online in Algebras and Representation Theory, springer, 201

Health Behaviors and Behavior Change during Pregnancy: Theory-Based Investigation of Predictors and Interrelations

(1) Background: Preventing pregnancy complications and maternal deaths and helping women stay healthy before, during, and after pregnancy by means of sexual health and behavior is imperative. Previous research demonstrated that a lack of social support and perceived discrimination have adverse effects on pregnancy outcomes. These determinants may impact health behavior as an important mediator of pregnancy outcomes. To better understand this relation, the Compensatory Carry-Over Action Model (CCAM) was applied. The research question was: how do predictors of health behavior, specifically intention, planning, self-efficacy, social support, and discrimination, interrelate with different health behaviors during pregnancy? (2) Methods: By means of qualitative interviews with ten pregnant women (20–39 years, mean = 28.6) from different cultural backgrounds, the predictors of health behaviors and experiences with pregnancy, including racial discrimination, were investigated. (3) Results: Not all women changed their unhealthy behaviors even though their higher-level goal was to ensure their baby’s and their own health. This appeared partially due to lack of social support, racial discrimination, and unexpected pregnancy side effects. The women who previously performed health behaviors revealed a healthier pattern with maintaining or even expanding their health behaviors, while those performing no health behavior in the past reported more obstacles with a healthy lifestyle. (4) Conclusions: Pregnant women appear to be having difficulties translating good intentions into behavior. The reasons include lack of support, fear, and insecurity, which impact self-efficacy and planning. Improvements in health behaviors were facilitated by specific circumstances, such as working from home. Policy and practice should take these aspects into account and help mobilize support and overcome discrimination by means of more rights and support for pregnant women while also empowering the individuals

Patients' Post-/Long-COVID Symptoms, Vaccination and Functional Status-Findings from a State-Wide Online Screening Study.

(1) Background: Better understanding of post-/long-COVID and limitations in daily life due to the symptoms as well as the preventive potential of vaccinations is required. It is unclear whether the number of doses and timepoint interrelate with the trajectory of post-/long-COVID. Accordingly, we examined how many patients positively screened with post-/long-COVID were vaccinated and whether the vaccination status and the timepoint of vaccination in relation to the acute infection were related to post-/long-COVID symptom severity and patients' functional status (i.e., perceived symptom severity, social participation, workability, and life satisfaction) over time. (2) Methods: 235 patients suffering from post-/long-COVID were recruited into an online survey in Bavaria, Germany, and assessed at baseline (T1), after approximately three weeks (T2), and approximately four weeks (T3). (3) Results: 3.5% were not vaccinated, 2.3% were vaccinated once, 20% twice, and 53.3% three times. Overall, 20.9% did not indicate their vaccination status. The timepoint of vaccination was related to symptom severity at T1, and symptoms decreased significantly over time. Being vaccinated more often was associated with lower life satisfaction and workability at T2. (4) Conclusions: This study provides evidence to get vaccinated against SARS-CoV-2, as it has shown that symptom severity was lower in those patients who were vaccinated prior to the infection compared to those getting infected prior to or at the same time of the vaccination. However, the finding that being vaccinated against SARS-CoV-2 more often correlated with lower life satisfaction and workability requires more attention. There is still an urgent necessity for appropriate treatment for overcoming long-/post-COVID symptoms efficiently. Vaccination can be part of prevention measures, and there is still a need for a communication strategy providing objective information about the usefulness and risks of vaccinations

Interdisciplinary and interprofessional communication intervention: How psychological safety fosters communication and increases patient safety.

BACKGROUND: Effective teamwork and communication are imperative for patient safety and quality care. Communication errors and human failures are considered the main source of patient harm. Thus, team trainings focusing on communication and creating psychologically safe environments are required. This can facilitate challenging communication and teamwork scenarios, prevent patient safety risks, and increase team performance perception. The sparse research concerning communication interventions calls for an understanding of psychological mechanisms. Therefore, this study investigated mechanisms of an interpersonal team intervention targeting communication and the relation of psychological safety to patient safety and team performance perception based on the applied input-process-output model of team effectiveness. METHODS: Before and after a 4-h communication intervention for multidisciplinary teams, a paper-pencil survey with N = 137 healthcare workers from obstetric units of two university hospitals was conducted. Changes after the intervention in perceived communication, patient safety risks, and team performance perception were analyzed via t-tests. To examine psychological mechanisms regarding psychological safety and communication behavior, mediation analyses were conducted. RESULTS: On average, perceived patient safety risks were lower after the intervention than before the intervention (MT1 = 3.220, SDT1 = 0.735; MT2 = 2.887, SDT2 = 0.902). This change was statistically significant (t (67) = 2.760, p =.007). However, no such effect was found for interpersonal communication and team performance perception. The results illustrate the mediating role of interpersonal communication between psychological safety and safety performances operationalized as perceived patient safety risks (α1∗β1 = -0.163, 95% CI [-0.310, -0.046]) and team performance perception (α1∗β1 = 0.189, 95% CI [0.044, 0.370]). DISCUSSION: This study demonstrates the psychological mechanisms of communication team training to foster safety performances and psychological safety as an important predecessor for interpersonal communication. Our results highlight the importance of teamwork for patient safety. Interpersonal and interprofessional team training represents a novel approach as it empirically brings together interpersonal communication and collaboration in the context of patient safety. Future research should work on follow-up measures in randomized-controlled trials to broaden an understanding of changes over time

"An apple pie a day does not keep the doctor away": Fictional depictions of gout in contemporary film and television.

BACKGROUND: Fictional portrayals of illness and medical management in film and television can reflect and perpetuate cultural stereotypes about illness. The aim of this study was to analyse fictional depictions of gout in contemporary film and television. METHODS: We conducted a search for English language depictions of gout in film and television since 1990 using the Internet Movie Database (IMDb), other internet media databases, and member suggestions from the Gout, Hyperuricemia and Crystal-Associated Disease Network (G-CAN). Film and television episodes with gout content were analysed for depictions of characters with gout, causal factors, and management strategies (n=44). RESULTS: Gout was used to denote royalty or nobility in historical settings, and as a plot device to explain the absence of characters from key events. The most commonly depicted causes of gout were overindulgence of food and alcohol (61%), and portrayals of biological causes were infrequent (12%). Common management strategies were change in diet (36%) and short-term pain relief (32%), with only one mention of urate-lowering therapy (5%). The majority of films and television episodes depicted gout as humorous (59%) and embarrassing (50%). CONCLUSIONS: In contemporary film and television, gout is portrayed as a humorous and embarrassing condition, caused by dietary indulgence. These depictions may reinforce inaccurate beliefs about the causes of gout and its management

Semi-invariants of symmetric quivers of finite type

Let $(Q,\sigma)$ be a symmetric quiver, where $Q=(Q_0,Q_1)$ is a finite quiver without oriented cycles and $\sigma$ is a contravariant involution on $Q_0\sqcup Q_1$. The involution allows us to define a nondegenerate bilinear form on a representation $V$ of $Q$. We shall call the representation orthogonal if is symmetric and symplectic if $$ is skew-symmetric. Moreover we can define an action of products of classical groups on the space of orthogonal representations and on the space of symplectic representations. For symmetric quivers of finite type, we prove that the rings of semi-invariants for this action are spanned by the semi-invariants of determinantal type $c^V$ and, in the case when matrix defining $c^V$ is skew-symmetric, by the Pfaffians $pf^V$

Cluster algebras in algebraic Lie theory

We survey some recent constructions of cluster algebra structures on coordinate rings of unipotent subgroups and unipotent cells of Kac-Moody groups. We also review a quantized version of these results.Comment: Invited survey; to appear in Transformation Group