Miracle-dz/UniFAR-FTUs huggingface dataset:
Triangle groups and finite simple groups

This thesis contains a study of the spaces of homomorphisms from hyperbolic triangle groups to finite groups of Lie type which leads to a number of deterministic, asymptotic, and probabilistic results on the (p1, p2, p3)-generation problem for finite groups of Lie type. Let G0 = L(p ) be a finite simple group of Lie type over the finite field Fpn and let T = Tp1,p2,p3 be the hyperbolic triangle group 〈x, y : x p1 = y2 = (xy)3 = 1〉 where p1, p2, p3 are prime numbers satisfying the hyperbolic condition 1/p1 + 1/p2 + 1/p3 < 1. In general, the size of Hom(T,G0) is a polynomial in q, where q = p , whose degree gives the dimension of Hom(T,G), where G is the corresponding algebraic group, seen as a variety. Computing the precise size of Hom(T,G0) or giving an asymptotic estimate leads to a number of applications. One can for example investigate whether or not there is an epimorphism in Hom(T,G0). This is equivalent to determining whether or not G0 is a (p1, p2, p3)-group. Asymptotically, one might be interested in determining the probability that a random homomorphism in Hom(T,G0) is an epimorphism as |G0| → ∞. Given a prime number p, one can also ask wether there are finitely, or infinitely many positive integers n such that L(p) is a (p1, p2, p3)-group. We solve these problems for the following families of finite simple groups of Lie type of small rank: the classical groups PSL2(q),PSL3(q),PSU3(q) and the exceptional groups B2(q), G2(q), G2(q), D4(q). The methods involve the character theory and the subgroup structure of these groups. Following the concept of linear rigidity of a triple of elements in GLn(Fp), used in inverse Galois theory, we introduce the concept for a hyperbolic triple of primes to be rigid in a simple algebraic group G. The triple (p1, p2, p3) is rigid in G if the sum of the dimensions of the subvarieties of elements of order p1, p2, p3 in G is equal to 2 dim G. This is the minimum required for G(p) to have a generating triple of elements of these orders. We formulate a conjecture that if (p1, p2, p3) is a rigid triple then given a prime p there are only finitely many positive integers n such that L(p) is a (p1, p2, p3)-group. We prove this conjecture for the classical groups PSL2(q), PSL3(q), and PSU3(q) and show that it is consistent with the substantial results in the literature about Hurwitz groups (i.e. when (p1, p2, p3) = (2, 3, 7)). We also classify the rigid hyperbolic triples of primes in algebraic groups, and in doing so we obtain some new families of non-Hurwitz groups.
Comparison of Sedation With Ketamine-Propofol Versus Propofol-Fentanyl for Elderly Patients Undergoing Prostate Biopsy: A Retrospective Observational Study

Background: Procedural sedation is increasingly used for elderly patients, but there is no established ideal method for elderly patients who are prone to respiratory and circulatory depression. This study aims to investigate the association of respiratory complications and the combination of ketamine-propofol versus fentanyl-propofol in elderly patients undergoing prostate biopsy requiring deep sedation. Methods: This was a single-center, retrospective, observational study conducted from April 2020 to March 2021. We included male patients aged 65 years and older scheduled for prostate biopsy under procedural sedation. Ketamine-propofol and fentanyl-propofol were administered at the discretion of the anesthesiologist. The primary outcome was the need for assisted ventilation. The secondary outcome was the duration of oxygen saturation (SpO2) below 90%. Results: We enrolled 120 patients over 65 years, and 92 patients were included in the final analysis. The anesthesiologist administered an initial dose of ketamine and propofol of 1:1 to 1:4 of 1.0 mg kg-1 (interquartile range: 0.98 to 1.17) or administered an initial dose of fentanyl of 0.05 to 0.1 mg and a target-controlled infusion of propofol of 2.8 μg ml-1 (interquartile range: 2.0 to 3.0) followed by additional doses at the discretion of the anesthesiologist. Ketamine-propofol was associated with a reduced need for assisted ventilation and a shorter duration of SpO2 below 90% than propofol-fentanyl (95.7% vs. 4.3%, P < 0.05; 0.64 minutes vs. 0.17 minutes, P = 0.26). Conclusions: Ketamine-propofol is associated with a significantly reduced need for assisted ventilation compared to propofol-fentanyl during procedural sedation and analgesia for procedures requiring deep sedation for the elderly.
The Impact of Macro Factors on Stock Indexes

: This paper aims to discuss the impact of macro factors, including Exchange rate, Consumer Price Index (CPI), Exports value, Interest rate, Money Supply (M2), Producer Price Index (PPI), Total reserves, and Economic Policy Uncertainty index (EPU). Some macroeconomic factors have impacts on stock returns, while others may have little effects. The first part is to discuss the methods used in this research and the purpose of the next part is to introduce data and database. The third part is the most important, which introduces the process of quantitative analysis and discussion of the results. Finally, a conclusion is given.
The Integral Role of Instructional Speech Acts into Student Learning Engagement amidst the Covid-19 Pandemic

Educational institutions are faced with an enormous challenge due to the CoronaVirus (Covid-19) disease. The deadly and infectious Covid-19 led to the closure of schools and universities across the world that made teaching and learning more difficult. This study aimed to examine the integral role of the teachers’ language in communicating and relating to students during this time of pandemic. The language used were specified into three speech acts namely, decision-giving, meaning-making and empathetic language. As for the methodology, quantitative research has been utilized in the process of collecting and analyzing data. Simple Linear Regression analysis was used to predict the effect of the three instructional speech acts to the learning engagement of the students. The results indicated that each of the three instructional speech acts has a positive linear relationship with the students’ learning engagement.
Coupling Method for the K-Competing Queues Problem with Abandonments

This thesis is focused on the K-Competing Queues problem, which seeks for an optimal way to share a common resource among multiple user classes. The basic version of this problem, where users have unlimited patience, can be solved to optimality by using variations of the well-known cμ rule. The more relevant version of the problem, where user patience is limited, does not yet have an optimal solution. However, some authors have been able to identify special instances, where it is optimal to prioritise one user class over the others. By employing a simple coupling technique, we give an extension to the set of instances, where a full priority policy is optimal. Along with our search for optimality, we also attempt to give an approximate solution by a number of heuristics. As we will see from the numeric simulations, the best of all known heuristics turns out to be the one that solves the fluid approximation of the problem to optimality.
The Influence of Eating Habits on Type 2 Diabetes in Saudi Arabia: A Systematic Review

Several dietary factors are associated with an increased risk of diabetes in Saudi Arabia. The increasing consumption of processed and sugary foods, including fast food and sugary beverages, in recent decades along with the rising prevalence of diabetes indicate the necessity of exploring the influence of eating habits on diabetes in Saudi Arabia. That is why the association between eating habits and diabetes in Saudi Arabia has become a topic of increasing interest. Therefore, this systematic literature review aimed to explore the influence of eating habits on the prevalence of diabetes in Saudi Arabia by providing a comprehensive synthesis of existing evidence from studies conducted on this topic in Saudi Arabia. A systematic search was conducted using predefined search terms in electronic databases, including PubMed, Embase, Medline, Google Scholar, and Scopus. Studies investigating the relationship between eating habits and diabetes prevalence among the Saudi Arabian population were included. Data extraction was performed, and the quality of included studies was assessed using appropriate tools. The findings were synthesized and discussed. Understanding the association between eating habits and diabetes in Saudi Arabia is crucial for developing effective preventive and management strategies for diabetes and other non-communicable diseases and promoting healthier eating habits in Saudi Arabia.
Retrieving the meaning of words from syntactic cues: A comprehension study of 2 to 4 yrs old French-speaking children.

In French, nouns occur in NP constituents usually preceded by determiners while verbs are embedded in sentences with a preceding subject NP (pronoun or noun), occur "bear" at the imperative form, or occur in VP preceded by auxiliaries or prepositions. Can young children use this kind of grammatical information to attribute meaning to new or semantically ambiguous words? 90 French-speaking children between 2 and 4 years (30 per age group) were confronted to pairs of images, an object and an action performed by a person and were asked to show where was "X", where X was either the noun or the verb version of a meaningful homophone or of a nonce word. Cues were provided by a determinate article or by a subject pronoun in prelexical position. For example, /li/ means bed when preceded by "le" 'the' (le lit 'the bed') and reads when preceded by "elle" 'she' (elle lit 'she reads'). Noun and verb functions, order of items, and position of the requested item on the screen, were controlled. Results show that items are succeeded beyond chance at all ages, the overall number of successes increasing with age. Individually, 50% of the 2 year-olds succeed beyond chance the overall set of items, a proportion that increases with age reaching 93% of the subjects at 4 years. These results show an early sensitivity of young children to syntactic cues and an early capacity to use grammatical information for attributing meaning to new or semantically ambiguous words.
Association of Cerebral Hemodynamics and Anemia on Processing Speed in Adults with Sickle Cell Disease.

Background and Purpose Compared to healthy controls, adult patients with Sickle Cell Disease (SCD) are anemic, and therefore have higher cardiac output and Cerebral Blood Flow (CBF) to maintain brain oxygenation. They also demonstrate comparatively more cognitive deficits due to either overt strokes or silent cerebral ischemia. However, there are few correlative studies between CBF and cognitive deficits, specifically processing speed in SCD. Such studies are important to develop biomarkers of central brain processing and ischemia for diagnosis, prognosis, and evaluating the effectiveness of potential interventions. This pilot cross-sectional study tested the hypotheses that adults with SCD and elevated CBF demonstrate lower central brain processing speed than controls on average and that CBF is inversely correlated with processing speed. Methods We conducted a pilot cross-sectional study to assess the relation-ships between CBF, central brain processing speed, and hemoglobin levels in asymptomatic adults with SCD and controls from an urban academic medical center. MRI acquisitions at 3T consisted of 2D phase-contrast quantitative arteriograms (Qflow) of the bilateral internal carotid and vertebral arteries and 3D pseudo-continuous arterial spin labeling (pCASL) of the brain. Participants were patients with SCD (hemoglobin [Hb]SS, [Hb] SBetaThal°, or [Hb]SC) aged 22-52 years of African American descent (N=7) or community controls (Hb AA) (n=3). Processing speed was assessed as an in-direct functional marker of ischemia using a recommended test from the NIH Toolbox for Assessment of Neurological and Behavioral Function, the Pattern Comparison Processing Speed Test. t-tests were used to compare means of CBF, hemoglobin, and cognition between SCD patients and healthy controls. Among SCD patients only multivariate correla-tions were used to evaluate relationships between brain perfusion in specific brain regions vs. processing speed and CBF. The significance level was set at p≤0.05. Results Adults with SCD reported higher CBF compared to healthy con-trols (72.15±28.90 vs. 47.23±12.30 ml/min/100g, p=0.04), and lower hemoglobin concentration (8.64±2.33 vs. 13.33±0.58, p=0.001). Heart rate in SCD patients was higher than in controls (86.29±1.37 vs. 74.00±2.10, p=0.04). Patients with SCD demonstrated lower processing speed (96.14±21.04 vs.123±13.74, p=0.02) than controls. Among adult patients with SCD, perfusion in specific regions of the brain showed an inverse relationship with processing speed, as did whole-brain CBF (p=0.0325). Conclusion These findings, although from a small sample, lend a degree of validity to the claim that processing speed is slower in people with SCD than in controls and that CBF is significantly higher in SCD patients com-pared to controls. The results also lend credence to the finding that the degree of processing speed deficiencies among adults with SCD is correlated with the degree of elevated CBF, which is known to correspond with the degree of anemia associated with SCD.
Observations of turbulence in a Kelvin‐Helmholtz event on 8 September 2015 by the Magnetospheric Multiscale mission

Spatial and high‐time‐resolution properties of the velocities, magnetic field, and 3‐D electric field within plasma turbulence are examined observationally using data from the Magnetospheric Multiscale mission. Observations from a Kelvin‐Helmholtz instability (KHI) on the Earth's magnetopause are examined, which both provides a series of repeatable intervals to analyze, giving better statistics, and provides a first look at the properties of turbulence in the KHI. For the first time direct observations of both the high‐frequency ion and electron velocity spectra are examined, showing differing ion and electron behavior at kinetic scales. Temporal spectra exhibit power law behavior with changes in slope near the ion gyrofrequency and lower hybrid frequency. The work provides the first observational evidence for turbulent intermittency and anisotropy consistent with quasi two‐dimensional turbulence in association with the KHI. The behavior of kinetic‐scale intermittency is found to have differences from previous studies of solar wind turbulence, leading to novel insights on the turbulent dynamics in the KHI.
On the wave resistance of an immersed prolate spheroid in infinite water depth

It is the purpose of this study to present a newly developed robust and efficient solution of the wave resistance problem of immersed prolate spheroids moving under regular waves with constant forward speed. Here the term “wave resistance” is associated with the coupled forward speed and wave impact problem, the latter being directed to the spheroid under arbitrary heading angle. Parts of the investigated subject were partly treated in the past by several authors who, however, isolated the two major contributions, namely the forward speed and the wave effects. In this context Havelock [1] approximated the wave resistance of prolate and oblate spheroids using Lagally’s [2] theorem (without mentioning Lagally in this connection) using the axial source distribution corresponding to the motion of the spheroid in an infinite mass of liquid. Farell [3] expanded the sources distributed on the surface of the spheroid into series of spheroidal harmonics and reported significant differentiations compared to Havelock’s [1] predictions. Wu and Eatock Taylor [4-5] used Farell’s [3] approach to tackle the diffraction (only) problem assuming (only) frontal wave heading. Here a solution to the complete problem is presented (waves and forward speed) which we achieved by employing Miloh’s [6] image singularities.
Pneumomediastinum Secondary to a Major Response to Nivolumab in Mesothelioma

Introduction: Malignant pleural mesothelioma (MPM) is a rare entity associated with chronic asbestos exposure. Second-line immunotherapy (IT) treatment is associated with very limited benefit, although in selected patients, durable partial responses have been reported. Material and methods: This case describes the evolution of a patient with MPM undergoing palliative pleurodesis at diagnosis who received second-line Nivolumab monotherapy at the Department of Medical Oncology of the Hospital Universitario Infanta Sofia and follow-up at the Department of Thoracic Surgery of the Hospital Universitario Puerta de Hierro. Results: We describe the case of an 83-year-old patient diagnosed with MPM who, after palliative pleurodesis at diagnosis and 4 cycles of platinum-based chemotherapy, had an excellent response to Nivolumab monotherapy. As a consequence of this good response, he presented a pneumomediastinum and subcutaneous emphysema without pneumothorax when a mediastinal-pleural communication developed. Management was conservative and the patient, six months after discontinuation of treatment, is in response with complete resolution of this complication. Conclusion: This case shows a dramatic response to second-line Nivolumab in advanced MPM with the development of a pneumomediastinum as a resultant complication. This finding has not been previously described in the literature.
Ethical Leadership and Employee Performance in the Public Sector: The Mediating Effects of Motivation and Satisfaction

This study examined the influence of ethical leadership on employee performance in the public sector, using employee motivation and employee satisfaction as mediators. This study is motivated by the need to examine the influence of ethical behavior of leaders in the public sectors in a developing country often marred with corruption allegations and poor public service delivery. This study is designed quantitatively, and data was collected through a structured questionnaire distributed among federal civil servants across five Ministries in Nigeria. A conceptual model was designed based on seven hypotheses and tested using PLS-SEM technique. Findings revealed that all hypotheses were significant based on p<0.001. More importantly, ethical leadership positively and significantly influence employee motivation and satisfaction. Also, employee motivation and satisfaction mediate the relationship between ethical leadership and employee performance. These findings suggest the importance of leaders’ moral behavior and their relationship with subordinates in the workplace, through motivating them to work, as well as imbibing the workplace ethics and culture. Practically, the findings imply that promoting workplace ethics becomes a crucial ingredient in stimulating individual performance, which translates to overall organizational performance and better service delivery to the citizens.
Fabrication and Characterization of Cu3SbS4 Solar Cell with Cd-free Buffer

We have grown famatinite Cu3SbS4 films by using sulfurization of Cu/Sb stack film. Sulfurization at 500 °C produced famatinite Cu3SbS4 phase, while 400 °C and 450 °C sulfurization exhibited unreacted and mixed phases. The fabricated Cu3SbS4 film showed S-deficiency, and secondary phase of Cu12Sb4S13. The secondary phase was confirmed by X-ray diffraction, Raman spectroscopy, photoluminescence and external quantum efficiency measurements. We have also fabricated solar cell in substrate type structure, ITO/ZnO/(Zn,Sn)O/Cu3SbS4/Mo/glass, where Cu3SbS4 was used as a absorber layer and (Zn,Sn)O was employed as a Cd-free buffer. Our best cell showed power conversion efficiency of 0.198%. Characterization results of Cu3SbS4 absorber indicates deep defect (due to S-deficiency) and low shunt resistance (due to Cu12Sb4S13 phase). Thus in order to improve the cell efficiency, it is required to grow high quality Cu3SbS4 film with no S-deficiency and no secondary phase.
Hermite–Padé approximants for meromorphic functions on a compact Riemann surface

The problem of the limiting distribution of the zeros and the asymptotic behaviour of the Hermite–Padé polynomials of the first kind is considered for a system of germs of meromorphic functions , , on an -sheeted Riemann surface . Nuttall's approach to the solution of this problem, based on a particular `Nuttall' partition of into sheets, is further developed. Bibliography: 36 titles.
Multi-hump solutions with small oscillations at infinity for stationary Swift–Hohenberg equation

The paper considers the stationary Swift–Hohenberg equation cw−(∂x2+k02)2w−w3=0, where c > 0 is a constant, k02=c−μ, and 0$ ? >μ>0 is a small parameter. In this case, the linear operator has a pair of real eigenvalues and a pair of purely imaginary eigenvalues. It can be proved that the equation has homoclinic (or single hump) solutions approaching to periodic solutions as |x|→+∞ (called single-hump generalized homoclinic solutions). This paper provides the first rigorous proof of existence of homoclinic solutions with two humps which tend to periodic solutions at infinity (or two-hump generalized homoclinic solutions) by pasting two appropriate single-hump generalized homoclinic solutions together. The dynamical system approach is used to reformulate the problem into a classical dynamical system problem and then the solution is decomposed into a decaying part and an oscillatory part at positive infinity. By adjusting some free constants and modifying the single-hump generalized homoclinic solution near negative infinity, it is shown that the solution is reversible with respect to a point near negative infinity. Therefore, the translational invariant and reversibility properties of the system yield a two-hump generalized homoclinic solution. The method may be applied to prove the existence of 2k-hump solutions for any positive integer k.
Citizens’ Adoption of an E-Health System During the Pandemic

This study aimed to determine the factors influencing the behavioral intention of PhilHealth members to adopt My PhilHealth Portal using an extended unified theory of acceptance and use of technology (UTAUT). Variables from this theory were operationalized through indicators which were then translated into a self-reported online survey questionnaire distributed through email and Facebook. Purposive-homogeneous sampling was used to determine the sample size from the target population who are Cagayan de Oro City based PhilHealth formal economy members employed in either private or public sector. The data from the online survey was tested for reliability using IBM SPSS Statistics (version 20), and the Cronbach’s alpha (1951) coefficient was used to assess the validity of variables. To determine the causal relationship of variables on specific constructs, data were processed using licensed versions of IBM SPSS AMOS (version 26) to perform Structural Equation Modelling, which will further show the account for a specific impact of the constructs and moderating variables to behavioral intention. It is cross-sectional in nature and conducted within a short period of time. Citizens’ perceptions towards the adoption of My PhilHealth Portal can change over time as new knowledge and experiences will be accumulated. Therefore, future studies could employ a longitudinal design to obtain more accurate findings that are relevant to the general public’s adoption of government portals. Findings show that citizens’ behavioral intention to adopt My PhilHealth Portal is influenced by their trust on internet, trust on government, effort expectancy, and their perceived competence. However, the selected moderating variables appear to have no significant effect on TOI, TOG, EE, and PC to BI.