Miracle-dz/UniFAR-FTUs huggingface dataset:
The $q$-Onsager algebra and the positive part of $U_q({\widehat{\mathfrak{sl}}}_2)$

The positive part $U^+_q$ of $U_q({\widehat{\mathfrak{sl}}}_2)$ has a presentation by two generators $X,Y$ that satisfy the $q$-Serre relations. The $q$-Onsager algebra $\mathcal O_q$ has a presentation by two generators $A,B$ that satisfy the $q$-Dolan/Grady relations. We give two results that describe how $U^+_q$ and $\mathcal O_q$ are related. First, we consider the filtration of $\mathcal O_q$ whose $n$th component is spanned by the products of at most $n$ generators. We show that the associated graded algebra is isomorphic to $U^+_q$. Second, we introduce an algebra $\square_q$ and show how it is related to both $U^+_q$ and $\mathcal O_q$. The algebra $\square_q$ is defined by generators and relations. The generators are $\lbrace x_i \rbrace_{i \in \mathbb Z_4}$ where $\mathbb Z_4$ is the cyclic group of order 4. For $i \in \mathbb Z_4$ the generators $x_i, x_{i+1}$ satisfy a $q$-Weyl relation, and $x_i,x_{i+2}$ satisfy the $q$-Serre relations. We show that $\square_q$ is related to $U^+_q$ in the following way. Let $ \square^{\rm even}_q$ (resp. $ \square^{\rm odd}_q$) denote the subalgebra of $ \square_q$ generated by $x_0, x_2$ (resp. $x_1, x_3$). We show that (i) there exists an algebra isomorphism $U^+_q \to \square^{\rm even}_q$ that sends $X\mapsto x_0$ and $Y\mapsto x_2$; (ii) there exists an algebra isomorphism $U^+_q \to \square^{\rm odd}_q$ that sends $X\mapsto x_1$ and $Y\mapsto x_3$; (iii) the multiplication map $\square^{\rm even}_q \otimes \square^{\rm odd}_q \to \square_q$, $u \otimes v \mapsto uv$ is an isomorphism of vector spaces. We show that $\square_q$ is related to $\mathcal O_q$ in the following way. For nonzero scalars $a,b$ there exists an injective algebra homomorphism $ \mathcal O_q \to \square_q$ that sends $A \mapsto a x_0+ a^{-1} x_1$ and $B \mapsto b x_2+ b^{-1} x_3$.
Assessment of physical, psychosocial, and social impact on psychotic substance abusers and their families

Psychosocial Substance abusers are associated with short-term and long term numerous undesirable social, psychological and physical impacts leading to loss of their capacity to interact with family, peers and society. The present study aims to assess social, psychological, and physical impact on substance abusers and their family so as to formulates effective polices and strategies to control the implications and health hazards of psychotic substance abuse. A total of 850 IPD hospitalized patients, using multiple psychoactive substances were selected from De-addiction centers of Punjab state and were personally interviewed by the author of this article to collect the information regarding the prevalence, distribution, and interrelations of variables within study population and recorded in self-structured questionnaire, prepared after reviewing the related studies to access physical, psychological and social problems/impact as per the survey design. The present study concludes that the social impact on drug abusers was highest [76.22%] as compared to psychological impact [62.63%] and physical impact [56.25%] as indicated by the mean score of social impact [34.30], psychological impact [25.68], and physical impact [25.31]. The study suggests that similar study can be replicated on remaining districts that are yet not running de-addiction and rehabilitation centers. It is highly recommended that overseeing the drug menace at such scale in the state of Punjab, there should be more number of De- addiction and rehabilitation centers at rural levels to speed up the recovery from this abuse. Another suggestion considered as vital to state health system to cope up with the shortage of psychiatrists, additional psychiatric mental health post graduate nurses (staff) should be posted on each center to maintain the consistent treatment, counselling and care. It will be highly desirable to appoint post-graduate mental health nurse should be appointed a member of the regulatory body at the state level for inspection of de-addiction and rehabilitation centers.
PII: S0895-7061(02)03026-1

Results: There were 1574 patients who received a drug typically used for hypertension. Depending on age and sex, 23% to 48% of patients had a potential interaction of high significance and 55% to 84% had at least one potential interaction. Both increasing age ( P .0007, odds ratio [OR] 1.012 [1.005,1.019]) and number of drugs ( P .0001, OR 1.120 [1.092,1.150]) were significantly associated with the potential for a highly significant drug interaction in the univariable models. Female sex was not significant (P .56, OR 1.074 [0.845,1.364]). The multivariable model found that there was a significant interaction between age and the number of drugs in the regimen (P .0001).
SOCIAL INEQUITIES IN A PSYCHOLOGICAL DOMAIN OF FOOD INSECURITY AMONG MOTHERS FROM SOUTHERN BRAZIL DURING THE COVID-19 PANDEMIC

We aimed to investigate the social inequalities in the fear of not having enough food for the household, a psychological domain of food insecurity, during the COVID-19 pandemic among mothers from the 2019 Rio Grande birth cohort. In 2019 we invited all mothers who gave birth to a singleton liveborn in the municipality of Rio Grande (southern Brazil) to respond to a standardized questionnaire. In 2020, we followed these mothers twice. In wave I we located 1,077 of all eligible mothers and 1,033 in wave II (follow-up rate of 52.1% and 50.4%). We estimated the absolute and relative inequalities of food insecurity according to the number of people living in the household, maternal education, family income, and income change during the pandemic using the slope index of inequalities (SII) and the concentration index (CIX), respectively. 1,021 mothers reported having food insecurity, and the prevalence was 42.8% and 44.7% for waves I and II, respectively. In wave I we observed inequities in the distribution of food insecurity, being higher among mothers living with [≥]3 people (SII:-17.3; 95%CI[-29.6;-5.0]), with a lower education (SII:-36.7; 95%CI[-47.0;-26.4]), lower income (SII-48.9; 95%CI[-58.0;-39.7]), and with an income that decreased during the pandemic (SII:-47.1; 95%CI[-57.3;-36.9]). These inequities widened from wave I to wave II. This study describes the impact of the COVID-19 pandemic on maternal and family food insecurity and the increased social disparities during the pandemic, especially among the most vulnerable populations.
Information compression in the context model

The Context Model provides a formal framework for the representation, interpretation, and analysis of vague and uncertain data. The clear semantics of the underlying concepts makes it feasible to compare well-known approaches to the modeling of imperfect knowledge like given in Bayes Theory, Shafer's Evidence Theory, the Transferable Belief Model, and Possibility Theory. In this paper we present the basic ideas of the Context Model and show its applicability as an alternative foundation of Possibility Theory and the epistemic view of fuzzy sets.
A course in abstract harmonic analysis

Banach Algebras and Spectral Theory Banach Algebras: Basic Concepts Gelfand Theory Nonunital Banach Algebras The Spectral Theorem Spectral Theory of *-Representations Von Neumann Algebras Notes and References Locally Compact Groups Topological Groups Haar Measure Interlude: Some Technicalities The Modular Function Convolutions Homogeneous Spaces Notes and References Basic Representation Theory Unitary Representations Representations of a Group and Its Group Algebra Functions of Positive Type Notes and References Analysis on Locally Compact Abelian Groups The Dual Group The Fourier Transform The Pontrjagin Duality Theorem Representations of Locally Compact Abelian Groups Closed Ideals in L1(G) Spectral Synthesis The Bohr Compactification Notes and References Analysis on Compact Groups Representations of Compact Groups The Peter-Weyl Theorem Fourier Analysis on Compact Groups Examples Notes and References Induced Representations The Inducing Construction The Frobenius Reciprocity Theorem Pseudomeasures and Induction in Stages Systems of Imprimitivity The Imprimitivity Theorem Introduction to the Mackey Machine Examples: The Classics More Examples, Good and Bad Notes and References Further Topics in Representation Theory The Group C* Algebra The Structure of the Dual Space Tensor Products of Representations Direct Integral Decompositions The Plancherel Theorem Examples Appendices A Hilbert Space Miscellany Trace-Class and Hilbert-Schmidt Operators Tensor Products of Hilbert Spaces Vector-Valued Integrals
Linking to the past: An Analysis of Community Digital Heritage Initiatives

Purpose – Community initiatives to collate and manage different kinds of cultural forms and resources are a popular way for local people to engage with the heritage of their area. These initiatives are often heavily dependent, however, upon short-term funding and long-term efforts of a few dedicated individuals. This paper explores how community digital archives offer scope to widen participation in cultural activities and investigates the sustainability of these initiatives. Design/methodology/approach – a case study approach was taken of Hebridean Connections, which is a community managed, online historical resource. This paper is primarily based on interview data with key stakeholders, all of whom are based in the Outer Hebrides of Scotland. Findings Participation in Hebridean Connections was reported in positive terms by respondents and that it a good way to reconnect with diasporic they that this would encourage It was
Spectroscopic characterization of a multiband complex oxide: Insulating and conducting cement 12CaO•7Al 2O 3

Natural 12CaO·7Al₂O₃ (C12A7) is a wide band gap insulator, but conductivity can be realized by introducing oxygen deficiency. Currently, there are two competing models explaining conductivity in oxygen-deficient C12A7, one involving the electron transfer via a “cage conduction band” inside the nominal band gap, the other involving electron hopping along framework lattice sites. To help resolve this debate, we probe insulating and conducting C12A7 with x-ray emission, x-ray absorption, and x-ray photoemission spectroscopy, which provide a full picture of both the valence and conduction band edges in these materials. Thesemeasurements suggest the existence of a narrow conduction band between themain conduction and valence bands common in both conducting and insulating C12A7 and support the theory that free electrons in oxygen-deficient C12A7 occupy the low-energy states of this narrow band. Our measurements are corroborated with density functional theory calculations.
CONNECTION OF OUTPATIENT TREATMENT COMPLICATIONS FOR REOPERATION AND DEATHS IN GENERAL SURGERY

: Aim: In order to describe the system, it is necessary to classify and quantify the risk factors for post-discharge entanglement that occur within 30 days of 21 inpatient general medical procedure system gatherings. Design: Retrospective survey of associates. Methods: A number of 557,520 older adults enrolled in one of the 21 meetings on the methodology of general surgical practices in hospital settings. Our current research was conducted at DHQ Mirpur AJK from May 2019 to April 2020. Main result measures: post-discharge complexity, reoperation and death. Results: Of the 551,510 patients (mean age, 56.7 years), 17.9 percent reported discomfort; 41.5 percent had Parkinson's disease. Of the PD-related pain, 77.2% occurred within 14 days of PD. Proctectomy (14.5 per cent), enteric fistula repair (13.7 per cent) and pancreatic procedures (11.4 per cent) had the highest PD pain percentage. Chest fixation, obesity and ventral hernia procedures have the highest PD quantum coherence rates (79.8 percent, 68.5 percent and 65.6 percent, separately). In both procedures, site problems, toxicity and thromboembolic events were usually common. The likelihood of complications of PD rose with hospitalization (13.6% versus 7.3% without hospitalization; P 0.002). In contrast, patients without complications of Parkinson's disease had a higher rate of reoperation (5.7% vs. 18.8%, individually; P.001) and disappearance (3.1% vs. 7.8%, individually; P.002) within 30 days after medical intervention; those with Parkinson's disease preceded by hospitalization had the highest rate of reoperation (34.8%) and disappearance (25.8%) (all P.002). After the change, PD discomfort was related to system type, American Society of Anesthesiologists class above 3, and steroid use. Conclusion: Difficulty ratios vary by technique, are typically closely related to the location and are related to mortality. Meticulous, explicit release-tolerant methodology just as rapid patient growth could enhance PD outcomes.
Glucocorticoid sensitivity in Mood Disorders-Review

: In this review we provide an overview of recent literature on glucocorticoid (GC) sensitivity in mood disorders. Assessing GC sensitivity is often performed by measuring the Cortisol Awakening Rise (CAR), by challenging the Hypothalamic- Pituitary- Adrenal (HPA) -axis using a Dexamethasone Suppression Test (DST) or a Dexamethasone/ Cortisol Releasing Hormone test (DEX/CRH); more recently by measuring cortisol as a retrospective calendar in scalp hair. The main findings in mood disorders are higher mean cortisol levels in hair samples and in the CAR, showing a hyperactivity of the HPA-axis. This is in line with the mild resistance for GCs previously observed in challenge tests during mood episodes. GC sensitivity is partly determined by polymorphisms in the genes encoding receptors and other proteins involved in the regulation of the HPA-axis. We shortly discuss the Glucocorticoid Receptor, as well as the Mineralocorticoid Receptor, the CRH-Receptor 1, and the GR co-chaperone FKBP5. Data clearly indicate genetic changes, along with epigenetic changes which influence the set point and regulation of the HPA-axis. Early trauma, as well as influences in utero, appears to be important. Future research is necessary to further clarify the biological background and consequences of an individual’s cortisol exposure in relation to mood.
Treatment in Infections by Enterobacterales Producing Extended Spectrum Betalactamase. Systematic Review

Extended spectrum beta-lactamases producing Enterobacterales have become pandemic worldwide representing a major public health threat due to poor outcomes and high mortality associated with infections by these bacteria, consequently it is essential to conduct a systematic review to document the antibiotic combination used to fight infections, in order to categorize and sort the most widely used treatments and determine the most effective ones. The electronic search was conducted since June 2020 until August 2020. The databases used were PubMed, Virtual Health Library, ScienceDirect and the Cochrane library; the following Medical Subject Headings (MESH) were used: “ Enterobacterales ”, “infection”, “beta - lactamase”, “beta lactamase inhibitors”, “ therapeutics ”, “ Enterobacteriaceae /enzymology”. The electronic search resulted in 1.526 articles meeting the general criteria, 1.493 articles were excluded; only 35 articles met all the inclusion criteria. there is basically no tangible difference between treatment with beta-lactam antibiotics (either combinations or carbapenem), fluoroquinolones, tetracyclines and Fosfomycin in patients without any pre-existing antibiotic resistance. It is required developing antibiotics, with the understanding that the microorganism will respond to them and resistance will develop (an evolutionary fact). Therefore, efforts to develop antibiotics and study mechanisms of resistance should be continuous, resilient, and steady. The introduction of these new β -lactam/β -lactamase inhibitor combinations offer carbapenem-sparing options for the treatment of ESBL infections 17 antimicrobial-susceptibility studies were found and included in our Review, accounting for 5057 clinical isolates of Enterobacteriaceae with advanced resistance to antimicrobial drugs (4448 producers of ESBL); 11 of the 17 studies at 90% of the isolates susceptible to fosfomycin. Initial clinical data support the use of fosfomycin for the treatment of urinary tract infections caused by these pathogens, although further research is needed. UTI by fosfomycin and meropenem susceptible ESBL-EC are candidates to be included in the study. Eligible Data will be presented at international conferences and published in peer-reviewed journals.
Thermodynamic Analysis of a Jet Engine Using a Liquid Propellant

: Combustion-chamber is a critical component of the propulsion engine, which is widely used in the space industry and aeronautics. The goal of this article is to perform a numerical-analysis on the combustion process using a liquid-type propellant. The steps that must be followed until total combustion is achieved are emphasized. It concerns the fuel feeding phase, its injection and the combustion operation. The amount of combustion products and the energy generated are evaluated. It has been shown that the liquid propellant may present an efficient alternative fuel than the kerosene. In addition, the temperature of combustion does not exceed a certain limit to avoid structural problems in the chamber. The parametric survey allowed determining the range of the most influence factors, including the pressure, mixture richness, velocity and flow rates of injection for the fuel and oxidizer. The number and type of injectors revealed a considerable influence on the velocity and flow rates of injection. To maximize thrust force and system propulsion, a careful selection of chamber material and ignition methods is required. A thorough inspection on the issues of walls cooling showed the necessary survey of maximum temperatures that may be reached during the combustion. Finally, an investigation of the thermal exchange through the walls will be very interesting.
T HE K ALAI -S MORODINSKY S OLUTION IN L ABOR M ARKET N EGOTIATIONS

Authors who consider efficient bargaining on the labor market predominantly focus on the Nash-bargaining solution. It seems, however, that actual labor market negotiations between an employers’ federation and a labor union are often characterized by mutual concessions, which may be accounted for by an application of the Kalai-Smorodinsky solution to labor-market negotiations. Correspondingly, we investigate how a government can influence the equilibrium on the labor market by changing the reservation wage when the equilibrium is determined by the Kalai-Smorodinsky solution. We find that the induced employment effects may differ substantially when compared with the Nash bargaining solution. Hence, substituting the Kalai-Smorodinsky by the Nash bargaining solution is not innocuous, when actual negotiations are characterized by mutual incremental concessions. JEL
Integrating graph theory and hydraulic model-based measures for the analysis of WDN resilience

Water Distribution Networks (WDN) are designed with built-in resilience, in the form of topological and/or energy redundancy, in order to maintain operation under failure conditions. As part of their resilience analysis, water companies must identify vulnerable pipes in their networks using a Critical Link Analysis (CLA) based either on hydraulic model-based analyses or graph theoretic measures of connectivity. These approaches are suitable for WDN design problems, but as more dynamic operational solutions and more complex optimisation problems for WDNs emerge, new tools are required to accelerate the resilience analysis and reveal network resilience properties at multiple scales. The presented work introduces a hybrid critical link analysis method for the dynamic operation and multi-scale resilience diagnosis of WDNs. The proposed hybrid method is applied to an operational network (BWFL) and compared to a full hydraulic model-based critical link analysis. The beneﬁts and limitations of the hybrid approach are discussed.
EDUCATION AND PRODUCTION Nutritive and Economic Values of High Oil Corn in Layer Diet1

Two layer feeding trials were conducted to demonstrate the nutritive and economic values of recently developed high oil corn (HOC) in Korea. A corn-soybean meal-based commercial layer diet was chosen as the control diet. The yellow dent corn in the control diet was replaced with HOC to give an isocaloric diet, or replaced with HOC on a 1:1 basis to give a high energy diet. In Trial 1, 510 23-wk-old ISA Brown layers were allotted to three dietary treatments with five replicates per treatment. In Trial 2, 600 38-wk-old Hy-Line Brown layers were allotted to three dietary treatments, again with five replicates per treatment. Both trials were conducted for 15 wk. To measure the ME values of typical corn and HOC, two metabolism trials were performed with layers and adult roosters. The HOC used in this trial contained approximately 94% higher crude fat (6.60% as-fed basis) compared with typical corns. The gross energy, AMEn, and TME values of HOC, are 5.7 to 7.7% higher than those of typical corns, indicating that the energy use of each corn were similar. Oil from the HOC contains 6.5 (
OAJC_A_296798 27..34

1Department of Midwifery, College of Health Sciences, Debre Tabor University, Debre Tabor, Ethiopia; 2Department of Midwifery, College of Medicine and Health Sciences, Bahir Dar University, Bahir Dar, Ethiopia Purpose: Even though vasectomy is one of the safest, simplest, and most effective family planning methods available for men, it is one of the least used contraceptive methods in the developing world, including Ethiopia. The goal of this study was to assess the level of knowledge towards vasectomy and its associated factors among married men in Debre Tabor Town. Methods: A community-based cross-sectional study was conducted from December 5–25, 2019. A total of 413 married men participated and selected by simple random sampling. Data was entered using EpiData version 4.2 and analyzed by SPSS version 23. A bivariable and multivariable logistic regression model was carried out. Finally, variables having a P-value of <0.05 at 95% CI were considered as statistically significant. Results: In this study, 38.5% of men had an adequate level of knowledge about vasectomy. Multivariable logistic regression showed that an educational status of secondary education and college and above (AOR=4.70, 95% CI=1.26–17.55; and AOR=8.36, 95% CI=2.41–28.97, respectively), having four or more alive children (AOR=0.51, 95% CI=0.29–0.89), and positive attitude (AOR=2.47, 95% CI=1.58–3.86) were significantly associated with knowledge of vasectomy. Conclusion: Knowledge of married men towards vasectomy was relatively low. Educational status, number of children, and attitude were statistically significant with the men’s knowledge about vasectomy. Emphasis should therefore be put on improving the educational status of men and positively changing the male upbringing culture right from their childhood which will also improve their attitude towards vasectomy in the future.