Miracle-dz/UniFAR-FTUs huggingface dataset:
Double total ramifications for curves of genus 2

Inside the moduli space of curves of genus 2 with 2 marked points we consider the loci of curves admitting a map to P^1 of degree d totally ramified over the two marked points, for d>= 2. Such loci have codimension two. We compute the class of their compactifications in the moduli space of stable curves. Several results will be deduced from this computation.
Identification of Highly Sensitive Pleural Effusion Protein Biomarkers for Malignant Pleural Mesothelioma by Affinity-Based Quantitative Proteomics

Simple Summary The development of malignant pleural mesothelioma, a rare and often aggressive cancer associated with asbestos exposure, can take decades to develop. The existing methods for diagnosis are insufficient, hence, better detection methods are required. Given that pleural effusions are close to the tumor and reasonably accessible, it is believed that pleural effusion contains biomarkers that can provide insight into the disease. As part of our explorative analysis of pleural effusion, we applied a novel mass spectrometry-based method, and as a result, we have identified several proteins with diagnostic potential as markers for malignant pleural mesothelioma. The research into the potential use of pleural effusion biomarkers as a viable future diagnostic tool for malignant pleural mesothelioma will be advanced with the addition of the knowledge gained from our study. Abstract Malignant pleural mesothelioma (MPM) is an asbestos-associated, highly aggressive cancer characterized by late-stage diagnosis and poor prognosis. Gold standards for diagnosis are pleural biopsy and cytology of pleural effusion (PE), both of which are limited by low sensitivity and markedly inter-observer variations. Therefore, the assessment of PE biomarkers is considered a viable and objective diagnostic tool for MPM diagnosis. We applied a novel affinity-enrichment mass spectrometry-based proteomics method for explorative analysis of pleural effusions from a prospective cohort of 84 patients referred for thoracoscopy due to clinical suspicion of MPM. Protein biomarkers with a high capability to discriminate MPM from non-MPM patients were identified, and a Random Forest algorithm was applied for building classification models. Immunohistology of pleural biopsies confirmed MPM in 40 patients and ruled out MPM in 44 patients. Proteomic analysis of pleural effusions identified panels of proteins with excellent diagnostic properties (90–100% sensitivities, 89–98% specificities, and AUC 0.97–0.99) depending on the specific protein combination. Diagnostic proteins associated with cancer growth included galactin-3 binding protein, testican-2, haptoglobin, Beta ig-h3, and protein AMBP. Moreover, we also confirmed previously reported diagnostic accuracies of the MPM markers fibulin-3 and mesothelin measured by two complementary mass spectrometry-based methods. In conclusion, a novel affinity-enrichment mass spectrometry-based proteomics identified panels of proteins in pleural effusion with extraordinary diagnostic accuracies, which are described here for the first time as biomarkers for MPM.
The Class of the Bielliptic Locus in Genus 3

Let the bielliptic locus be the closure in the moduli space of stable curves of the locus of smooth curves that are double covers of genus 1 curves. In this paper, we compute the class of the bielliptic locus in the moduli space \overline{M}_3 of stable curves of genus three in terms of a standard basis of the rational Chow group of codimension-2 classes in the moduli space. Our method is to test the class on the hyperelliptic locus: this gives the desired result up to two free parameters, which are then determined by intersecting the locus with two surfaces in \overline{M}_3 .
Tensor Calculus

These notes are the second part of the tensor calculus documents which started with the previous set of introductory. In the present text, we continue the discussion of selected topics of the subject at a higher level expanding, when necessary, some topics and developing further concepts and techniques. Unlike the previous notes which are largely based on a Cartesian approach, the present notes are essentially based on assuming an underlying general curvilinear coordinate system.
Volume and homology growth of aspherical manifolds

We provide upper bounds on the size of the homology of a closed aspherical Riemannian manifold that only depend on the systole and the volume of balls. Further, we show that linear growth of mod p Betti numbers or exponential growth of torsion homology imply that a closed aspherical manifold is "large".
Protein phosphatase PPM1A inhibition attenuates osteoarthritis via regulating TGF-β/Smad2 signaling in chondrocytes

TGF-β signaling is crucial for modulating osteoarthritis (OA), and protein phosphatase magnesium–dependent 1A (PPM1A) has been reported as a phosphatase of SMAD2 and regulates TGF-β signaling, while the role of PPM1A in cartilage homeostasis and OA development remains largely unexplored. In this study, we found increased PPM1A expression in OA chondrocytes and confirmed the interaction between PPM1A and phospho-SMAD2 (p-SMAD2). Importantly, our data show that PPM1A KO substantially protected mice treated with destabilization of medial meniscus (DMM) surgery against cartilage degeneration and subchondral sclerosis. Additionally, PPM1A ablation reduced the cartilage catabolism and cell apoptosis after the DMM operation. Moreover, p-SMAD2 expression in chondrocytes from KO mice was higher than that in WT controls with DMM induction. However, intraarticular injection with SD-208, repressing TGF-β/SMAD2 signaling, dramatically abolished protective phenotypes in PPM1A-KO mice. Finally, a specific pharmacologic PPM1A inhibitor, Sanguinarine chloride (SC) or BC-21, was able to ameliorate OA severity in C57BL/6J mice. In summary, our study identified PPM1A as a pivotal regulator of cartilage homeostasis and demonstrated that PPM1A inhibition attenuates OA progression via regulating TGF-β/SMAD2 signaling in chondrocytes and provided PPM1A as a potential target for OA treatment.
Some remarks on the extremal function for uniformly two-path dense hypergraphs

We investigate extremal problems for hypergraphs satisfying the following density condition. A $3$-uniform hypergraph $H=(V, E)$ is $(d, \eta,P_2)$-dense if for any two subsets of pairs $P$, $Q\subseteq V\times V$ the number of pairs $((x,y),(x,z))\in P\times Q$ with $\{x,y,z\}\in E$ is at least $d|\mathcal{K}_{P_2}(P,Q)|-\eta|V|^3,$ where $\mathcal{K}_{P_2}(P,Q)$ denotes the set of pairs in $P\times Q$ of the form $((x,y),(x,z))$. For a given $3$-uniform hypergraph $F$ we are interested in the infimum $d\geq 0$ such that for sufficiently small $\eta$ every sufficiently large $(d, \eta,P_2)$-dense hypergraph $H$ contains a copy of $F$ and this infimum will be denoted by $\pi_{P_2}(F)$. We present a few results for the case when $F=K_k^{(3)}$ is a complete three uniform hypergraph on $k$ vertices. It will be shown that $\pi_{P_2}(K_{2^r}^{(3)})\leq \frac{r-2}{r-1}$, which is sharp for $r=2,3,4$, where the lower bound for $r=4$ is based on a result of Chung and Graham [Edge-colored complete graphs with precisely colored subgraphs, Combinatorica 3 (3-4), 315-324].
Strong Banach property (T) for simple algebraic groups of higher rank

We extend Vincent Lafforgue's results to Sp4. As applications, the family of expanders constructed by finite quotients of a lattice in such a group does not admit a uniform embedding in any Banach space of type > 1, and any affine isometric action of such a group, or of any cocompact lattice in it, in a Banach space of type > 1 has a fixed point.
Representation and uniqueness for boundary value elliptic problems via first order systems

Given any elliptic system with $t$-independent coefficients in the upper-half space, we obtain representation and trace for the conormal gradient of solutions in the natural classes for the boundary value problems of Dirichlet and Neumann types with area integral control or non-tangential maximal control. The trace spaces are obtained in a natural range of boundary spaces which is parametrized by properties of some Hardy spaces. This implies a complete picture of uniqueness vs solvability and well-posedness.
Global solutions to planar magnetohydrodynamic equations with radiation and large initial data

The existence and uniqueness of the global classical solution for the planar magnetohydrodynamic equations are proved for large initial data. The model equations are coupled with the thermal radiation and are supplemented with free boundary and initial conditions. The existence proof relies on the classical Leray–Schauder fixed theorem together with some new a priori estimates in Lagrangian coordinates. The result holds for more general heat conductivity, which is plausible and interesting in physics. Particularly, it is also valid for the case of constant transport coefficients.
The effect of guided inquiry learning model on students' critical thinking skills in biology learning

The quality of education in preparing students to have critical thinking skills has not been optimal. Guided inquiry stimulates the thinking ability of students. This study analyses the guided inquiry learning model's effect on students' critical thinking skills on the body's defence system material. This research is quasi-experimental. The population in this study were four classes with a sample consisting of two classes, namely XI IPA A as the experimental class and XI IPA B as the control class. The sampling technique used random cluster sampling. Data collection techniques using multiple choice questions. The results showed: that the calculation of the paired sample t-test in the guided inquiry learning model got a significant value (sig) of 0.00, which means that the sig value is smaller than 0.05 (0.00<0.05). This result shows a probability of less than 0.05, meaning the guided inquiry learning model between the experimental and control classes is not the same. The pre-test and post-test values are more significant than 0.05 (sig>0.05), so it concluded that the data in this study are homogeneous. There is a significant difference in the use of this learning model that educational institutions should follow up. Teacher qualifications need to be improved in innovating and implementing this learning model to optimize students' critical thinking skills.Abstrak Kualitas pendidikan dalam mempersiapkan peserta didik agar memiliki kemampuan berpikir kritis belum optimal. Inkuiri terbimbing merangsang kamampuan berpikir peserta didik. Penelitian ini bertujuan untuk menganalisis pengaruh model pembelajaran inkuiri terbimbing terhadap kemampuan berpikir kritis siswa pada materi sistem pertahanan tubuh. Penelitian ini adalah eksperimen semu. Populasi dalam penelitian ini adalah empat kelas dengan sampel terdiri atas dua kelas yaitu XI IPA A sebagai kelas eksperimen dan XI IPA B sebagai kelas kontrol. Teknik pengambilan sampel menggunakan cluster random sampling. Teknik pengumpulan data menggunakan soal pilihan berganda. Hasil penelitian menunjukkan: perhitungan paired sampel t test pada model pembelajaran inkuiri terbimbing mendapatkan nilai signifikan (sig) sebesar 0,00 yang artinya nilai sig lebih kecil dari 0,05 (0,00<0,05). Ini menunjukkan probabilitas kurang dari 0,05 yang berarti model pembelajaran inkuiri terbimbing antara kelas eksperimen dan kelas kontrol tidak sama. Nilai pre-test dan post-test lebih besar dari 0,05 (sig>0,05) maka dapat disimpulkan bahwa data dalam penelitian ini bersifat homogen. Adanya perbedaan signifikan dengan penggunaan model pembelajaran ini hendaknya ditindaklanjuti oleh lembaga pendidikan. Kualifikasi guru perlu ditingkatkan dalam melakukan inovasi dan implementasi model pembelajaran ini untuk mengoptimalkan kemampuan berpikir kritis peserta didik.
On C-class equations

The concept of a C-class of differential equations goes back to E. Cartan with the upshot that generic equations in a C-class can be solved without integration. While Cartan's definition was in terms of differential invariants being first integrals, all results exhibiting C-classes that we are aware of are based on the fact that a canonical Cartan geometry associated to the equations in the class descends to the space of solutions. For sufficiently low orders, these geometries belong to the class of parabolic geometries and the results follow from the general characterization of geometries descending to a twistor space. In this article we answer the question of whether a canonical Cartan geometry descends to the space of solutions in the case of scalar ODEs of order at least four and of systems of ODEs of order at least three. As in the lower order cases, this is characterized by the vanishing of the generalized Wilczynski invariants, which are defined via the linearization at a solution. The canonical Cartan geometries (which are not parabolic geometries) are a slight variation of those available in the literature based on a recent general construction. All the verifications needed to apply this construction for the classes of ODEs we study are carried out in the article, which thus also provides a complete alternative proof for the existence of canonical Cartan connections associated to higher order (systems of) ODEs.
The hyperbolic modular double and the Yang-Baxter equation

We construct a hyperbolic modular double -- an algebra lying in between the Faddeev modular double for $U_q(sl_2)$ and the elliptic modular double. The intertwining operator for this algebra leads to an integral operator solution of the Yang-Baxter equation associated with a generalized Faddeev-Volkov lattice model introduced by the second author. We describe also the L-operator and finite-dimensional R-matrices for this model.
The Euclidean distribution of fast radio bursts

We investigate whether current data on the distribution of observed flux densities of Fast Radio Bursts (FRBs) are consistent with a constant source density in Euclidean space. We use the number of FRBs detected in two surveys with different characteristics along with the observed signal-to-noise ratios of the detected FRBs in a formalism similar to a V/V_max-test to constrain the distribution of flux densities. We find consistency between the data and a Euclidean distribution. Any extension of this model is therefore not data-driven and needs to be motivated separately. As a byproduct we also obtain new improved limits for the FRB rate at 1.4 GHz, which had not been constrained in this way before.
The effect of digital booklets “Crustaceae diversity at mangrove Sangiang Island” on students' conservation attitude using problem-based learning

The rapid advancement of technology causes educators to be ready to use digital-based learning media. This study aims to determine the effect of the digital booklet on the diversity of mangrove crabs on Sangiang Island in the Problem Based Learning (PBL) model on students' conservation attitudes. This research method uses a quasi-experimental design with a post-test-only control group design. The research sample was taken using a purposive sampling technique. This study used two sample groups, namely the control and experimental groups. Data collection uses a questionnaire which is accessed via a Google form. The questionnaire contains questions about the conservation attitudes character of as many as 50 items; with a value scale from 1-4. The results showed an effect of using digital booklets on the conservation attitude of students at SMA Negeri 4 Serang City. The average conservation attitude in the experimental class got a fairly high score of 55, while the control class got a score of 54. This value is the result of the accumulation of five characteristics of attainment of conservation attitudes, namely knowledge, concern, skills, attitudes, and participation. Based on these results, using digital media, one of which is a booklet, can be a solution for achieving the competence of students' conservation attitudes.Abstrak Pesatnya kemajuan teknologi menyebabkan para pendidik harus siap memanfaatkan media pembelajaran berbasis digital. Penelitian ini bertujuan untuk mengetahui pengaruh booklet digital keanekaragaman kepiting bakau di pulau Sangiang dengan model Problem Based Learning (PBL) terhadap sikap konservasi siswa. Metode penelitian ini menggunakan quasi experiment dengan rancangan post-test only control group design. Pengambilan sampel penelitian menggunakan teknik purposive sampling. Penelitian ini menggunakan dua kelompok sampel yaitu kelompok kontrol dan eksperimen. Pengumpulan data menggunakan angket yang diakses melalui Google form. Angket berisi pertanyaan tentang karakter sikap konservasi sebanyak 50 butir soal, dan dilengkapi dengan skala nilai dari 1-4. Hasil penelitian menunjukkan adanya pengaruh penggunaan booklet digital terhadap sikap konservasi siswa di SMA Negeri 4 Kota Serang. Rata-rata sikap konservasi di kelas eksperimen mendapatkan nilai yang cukup tinggi yaitu sebesar 55 sedangkan untuk kelas kontrol memperoleh nilai 54. Nilai tersebut adalah hasil akumulasi dari lima karakter ketercapaian sikap konservasi yaitu pengetahuan, kepedulian, keterampilan, sikap, dan partisipasi. Berdasarkan hasil tersebut, penggunaan media digital salah satunya berbentuk booklet dapat menjadi solusi untuk ketercapaian kompetensi sikap konservasi peserta didik.
ENGLISH WRITING INSTRUCTION AND STRATEGIES AS PREDICTORS OF WRITING ANXIETY OF STUDENTS

This study aimed to determine English teachers’ writing instruction and students’ writing strategies significantly predict students’ ESL writing anxiety. The working group for the present study, in which quantitative descriptive-predictive design was employed, included 271 first-year students enrolled in GE 2 subject at UM Digos College. The participants answered adopted standard questionnaires to quantify which dimension/s of English Teachers’ writing instruction and English students’ writing strategies significantly predict/s writing anxiety. The gathered data were analyzed and interpreted using the mean and standard deviation, Pearson-r, regression, and multiple linear regression. Regression analysis was used to predict the value of writing anxiety based on the value of writing instruction and strategies. Multiple linear regression was used to model the linear relationship between writing anxiety and writing instruction and strategies. The results revealed that teachers’ explicit writing instruction in teaching and students’ employment strategies in writing helped the learners lessen their writing anxiety. The findings corroborated the three domains for English writing instructions and English writing strategies: learning to write factual texts, learning to write formal and informal texts, and resourcing, significantly predict English writing anxiety. The findings obtained in this study suggest that the employment of effective instruction and strategies for students may alleviate anxiety and desirably perform various writing tasks in any particular genre. Article visualizations:
EXTRINSIC FACTORS INFLUENCING THE JOB MOTIVATION OF PUBLIC SECTOR HEALTH CARE WORKERS IN NAKURU COUNTY, KENYA

Diverse factors provide indicators of job motivation challenges amongst healthcare workers. These factors include the high level of employee turnover. For example, in 2017, an estimated 700 doctors quit employment in government-run hospitals. Additionally, the Kenya Medical Practitioners and Dentist Union (KMPDU) estimated that up to 2,300 doctors had left devolved sector employment between 2014 and 2016 for private sector engagement or further education abroad. Moreover, the various groups of healthcare workers including doctors, nurses, and clinical officers have held numerous industrial strikes against their employers. Consequently, this study seeks to study the factors influencing job motivation in the healthcare public sector. The study is based on Herzberg’s 2-factor theory that splits factors affecting employee job motivation as extrinsic and motivating factors. The study used a descriptive research design and the target population was health workers in Nakuru County Public health facilities including doctors, clinical officers, laboratory technicians, pharmacists and nurses. The study population was 1756 respondents. The sample size of this study, using Taro Yamane’s (1967) formula, was 326 respondents. The correlation between diverse factors and job motivation was examined. The study found a strong positive correlation between extrinsic factors and job motivation (r = 0.633, p value = 0.000). The regression analysis results revealed that a unit increase in extrinsic factors is associated with a 0.318 increase in job motivation levels. Article visualizations:
Moment formulas for multi-type continuous state and continuous time branching processes with immigration

Recursions for moments of multi-type continuous state and continuous time branching process with immigration are derived. It turns out that the $k$-th (mixed) moments and the $k$-th (mixed) central moments are polynomials of the initial value of the process, and their degree are at most $k$ and $\lfloor k/2 \rfloor$, respectively.
Free probability for purely discrete eigenvalues of random matrices

In this paper, we study random matrix models which are obtained as a non-commutative polynomial in random matrix variables of two kinds: (a) a first kind which have a discrete spectrum in the limit, (b) a second kind which have a joint limiting distribution in Voiculescu's sense and are globally rotationally invariant. We assume that each monomial constituting this polynomial contains at least one variable of type (a), and show that this random matrix model has a set of eigenvalues that almost surely converges to a deterministic set of numbers that is either finite or accumulating to only zero in the large dimension limit. For this purpose we define a framework (cyclic monotone independence) for analyzing discrete spectra and develop the moment method for the eigenvalues of compact (and in particular Schatten class) operators. We give several explicit calculations of discrete eigenvalues of our model.
Psychological Distress, Destructive Conflict, and Parenting among Residential and Nonresidential Fathers

Abstract We utilized the Determinants of Parenting process model to examine correlates of paternal parenting by father’s residential status. Data consisted of fathers (N = 1,784) who participated in a federally funded Responsible Fatherhood program. Study variables were assessed through fathers’ self-reports. Using a structural equation modeling framework, the results of multi-group analyses revealed differences in parenting by father’s residential status. For residential fathers, both psychological distress and destructive conflict related to less nurturance and involvement, and destructive conflict was a mechanism through which psychological distress promoted harsh parenting. Nonresidential fathers were less involved when destructive conflict was present. These findings underscore fathers’ sensitivity to the context of interpersonal relationships and suggest that fatherhood education programs address the needs of both residential and nonresidential fathers.