Miracle-dz/UniFAR-FTUs huggingface dataset:
Automorphism tower problem and semigroup of endomorphisms for free Burnside groups

We have proved that the group of all inner automorphisms of the free Burnside group B(m,n) is the unique normal subgroup in Aut(B(m,n)) among all its subgroups, which are isomorphic to free Burnside group B(s, n) of some rank s for all odd n ≥ 1003 and m > 1. It follows that the group of automorphisms Aut(B(m,n)) of the free Burnside group B(m,n) is complete for odd n ≥ 1003, that is it has a trivial center and any automorphism of Aut(B(m,n)) is inner. Thus, for groups B(m,n) is solved the automorphism tower problem and is showed that it is as short as the automorphism tower of the absolutely free groups. Moreover, proved that every automorphism of End(B(m,n)) is a conjugation by an element of Aut(B(m,n)). Introduction. If the center of a group G is trivial, then it is embedded into the group of its automorphisms Aut(G). Such embedding is given by mapping each element of group to the inner automorphism generated by this element. The inner automorphism generated by an element g ∈ G is denoted by ig and is defined by the formula xg = gxg for all x ∈ G (the image of the element x under the map α is denoted by x). The easily verifiable relation for composition of automorphisms α ◦ ig ◦ α −1 = igα shows that the group of all inner automorphisms Inn(G) is a normal subgroup in Aut(G). Moreover, the relation α◦ ig ◦α −1 = igα implies that in a group G with trivial center the centralizer of the subgroup Inn(G) is also trivial in Aut(G). In particular, the group Aut(G) is also a centerless group. This allows to consider the automorphism tower G = G0 ⊳G1 ⊳ · · ·⊳Gk ⊳ · · ·, (1) where Gk = Aut(Gk−1) and Gk is identified with Inn(Gk) under the embedding Gk →֒ Aut(Gk), g 7→ ig (k = 1, 2, .). According to classical Wielandt’s theorem (see [20, Theorem 13.5.2]), the automorphism tower (1) of any finite centerless group terminates after a finite number of steps (that is there exists a number k such that Gk = Gk−1). For infinite groups the analogous statement is false (for example, automorphism tower of infinite dihedral group does not terminate in finitely many steps). In early seventies G. Baumslag proposed to study the automorphism tower for absolutely free and for some relatively free groups. In particular, he formulated a hypothesis that the tower of absolutely free group of finite rank should be “very short”.
Zooming into Feminist Family Therapy Telesupervision: Experiences of Supervisors during the COVID-19 Pandemic

ABSTRACT The COVID-19 pandemic has altered the way feminist clinical supervisors provide supervision to family therapist trainees. This study explored the experiences of feminist family therapy supervisors who engaged in supervision remotely or had transitioned to virtual supervision. Using thematic analysis, four themes emerged from analysis of eight supervisors’ answers to an online survey: using technology as a collaborative medium, self-of-the-supervisor process, intentional supervisory relationship, and supervisor responsibilities. In telling their stories, the supervisors described how they pivoted to support therapists, attended to parallel processes, and adjusted their own supervision techniques to maintain their feminist focus. The authors discuss implications of supervision adjustments and offer suggestions and considerations for remote feminist supervision and recommendations for future research.
On a generalized Fra\"iss\'e limit construction

In this paper, we present a slightly modified version of Fra\"iss\'e theory which is used in a paper by Christopher J. Eagle, Ilijas Farah, Bradd Hart, Boris Kadets, Vladyslav Kalashnyk and Martino Lupini (arXiv:1411.4066) and another by the author (arXiv:1602.00124). Using this version, we also show that every UHF algebra can be recognized as a Fra\"iss\'e limit of a class of C*-algebras of matrix-valued continuous functions on cubes with distinguished traces.
Iterated suspension spaces and higher Freudenthal suspension

We establish a higher Freudenthal suspension theorem and prove that the derived fundamental adjunction comparing spaces with coalgebra spaces over the homotopical iterated suspension-loop comonad, via iterated suspension, can be turned into an equivalence of homotopy theories by replacing spaces with the full subcategory of 1-connected spaces. This resolves in the affirmative a conjecture of Lawson on iterated suspension spaces; that homotopical descent for iterated suspension is satisfied on objects and morphisms---the corresponding iterated desuspension space can be built as the homotopy limit of a cosimplicial cobar construction encoding the homotopical coalgebraic structure. It also provides a homotopical recognition principle for iterated suspension spaces. In a nutshell, we show that the iterated loop-suspension completion map studied by Bousfield participates in a derived equivalence between spaces and coalgebra spaces over the associated homotopical comonad, after restricting to 1-connected spaces.
ULTRAVIOLET EXTINCTION AT HIGH GALACTIC LATITUDES

In order to study the properties and effects of high Galactic latitude dust, we present an analysis of 373,303 galaxies selected from the Galaxy Evolution Explorer All-Sky Survey and Wide-field Infrared Explorer All-Sky Data Release. By examining the variation in aggregate ultraviolet colors and number density of these galaxies, we measure the extinction curve at high latitude. We additionally consider a population of spectroscopically selected galaxies from the Sloan Digital Sky Survey to measure extinction in the optical. We find that dust at high latitude is neither quantitatively nor qualitatively consistent with standard reddening laws. Extinction in the FUV and NUV is ∼10% and ∼35% higher than expected, with significant variation across the sky. We find that no single RV parameter fits both the optical and ultraviolet extinction at high latitude, and that while both show detectable variation across the sky, these variations are not related. We propose that the overall trends we detect likely stem from an increase in very small silicate grains in the interstellar medium.
A ‘bright’ side of war? Armed conflict and female teen marriage in Azerbaijan

Abstract Does exposure to armed conflict influence female teen marriage? Despite increasing attention to early marriage, its drivers and consequences, quantitative research on whether teen unions are affected by situations of armed violence is minimal. This paper addresses this gap by examining the relationship between exposure to the conflict in Nagorno-Karabakh over 19921996 and teen marriage outcomes in Azerbaijan. Using data from the 2006 Demographic and Health Survey and from the Uppsala Conflict Data Program, I compare cohorts at risk of teen union before and during the conflict climax years with a modelling strategy that exploits information on forced displacement and spatial variation in conflict exposure. Results show that exposure to war violence in adolescent ages, its intensity and frequency, are associated with a lower risk of teen marriage. The largest reductions are observed in the cohorts who spent most of their adolescent ages under conflict and who were displaced as a result. For nevermigrant conflict-affected girls, declines extend to the youngest cohorts. The combination of age at conflict exposure, its duration and the experience of disruptive events like forced migration matters for teen marriage outcomes.
Partial hyperbolicity and foliations in $\mathbb{T}^3$

We prove that dynamical coherence is an open and closed property in the space of partially hyperbolic diffeomorphisms of $\mathbb{T}^3$ isotopic to Anosov. Moreover, we prove that strong partially hyperbolic diffeomorphisms of $\mathbb{T}^3$ are either dynamically coherent or have an invariant two-dimensional torus which is either contracting or repelling. We develop for this end some general results on codimension one foliations which may be of independent interest.
Regularity criteria for the 3D MHD equations in term of velocity

In this paper, we consider three‐dimensional incompressible magnetohydrodynamics equations. By using interpolation inequalities in anisotropic Lebesgue space, we provide regularity criteria involving the velocity or alternatively involving the fractional derivative of velocity in one direction, which generalize some known results. Copyright © 2014 John Wiley & Sons, Ltd.
Effect of Statin Therapy on Mortality and Recurrence of Intracerebral Hemorrhage in Patients With Spontaneous Intracerebral Hemorrhage

Statins can play an essential role in the tertiary and primary prevention of cardiovascular events by reduction of cholesterol in a stroke patient. This meta-analysis aims to assess statin therapy's effect on mortality and recurrence of Intracranial Hemorrhage (ICH) in patients with spontaneous ICH. The current meta-analysis was conducted following Preferred Reporting Items for Systematic Reviews and Meta-analyses (PRISMA) guidelines. A systematic search was performed using PubMed, EMBASE, and Cochrane Library to identify studies assessing the use of statins in patients with ICH. The primary outcome assessed in the current meta-analysis was a hemorrhagic stroke. The secondary outcomes included cardiac-related events and all-cause mortality. A total of 9 studies were included in the current meta-analysis enrolling 49027 patients, with 8094 patients on statin therapy and 40933 patients in the control group. The risk of recurrent ICH was significantly lower in patients receiving stains (RR: 0.81, 95% CI: 0.67-0.99, p-value: 0.02) compared to placebo. However, no significant differences were observed regarding all-cause mortality (RR: 0.80, 95% CI: 0.53-1.20, p-value: 0.27) and cardiovascular events (RR: 1.24, 95% CI: 0.88-1.74). In ICH patients, statins can reduce the risk of recurrent ICH in patients with a history of ICH. However, statins had no significant effect on all-cause mortality and cardiovascular events.
Academic Resilience in Post Pandemic Covid-19 Among College Students

Various changes that have occurred due to the COVID-19 pandemic require students to be able to adapt to various academic demands and rise from existing problems, considering that the COVID-19 pandemic is still ongoing today. This ability is referred to as academic resilience. This study aims to see the picture of academic resilience in students in terms of self-concept and family support. The subjects in this study were students at Bhayangkara University, Jakarta Raya. The sampling technique used in this study is purposive Sampling. The data analysis method used in this research is multiple linear regression analysis. The purpose of this analysis is to determine the effect of two variables X (self-concept and family support) on variable Y (academic resilience). Based on the results of the regression analysis, the value of p = 0.005 or p <0.05 and the value of F = 5,631. That is, self-concept and family support together can predict academic resilience. The results of the analysis can be seen as the value of the coefficient of determination or effective contribution of self-concept variables and family support simultaneously or together can predict the resilience of 10.4%, while the rest is influenced by other factors.
A vanishing theorem of Koll'ar-Ohsawa type

For proper surjective holomorphic maps from K"ahler manifolds to analytic spaces, we give a decomposition theorem for the cohomology groups of the canonical bundle twisted by Nakano semi-positive vector bundles by means of the higher direct image sheaves, by using the theory of harmonic integrals developed by Takegoshi. As an application, we prove a vanishing theorem of Koll'ar-Ohsawa type by combining the L^2-method for the dbar-equation.
Harmonic functions on mated-CRT maps

A mated-CRT map is a random planar map obtained as a discretized mating of correlated continuum random trees. Mated-CRT maps provide a coarse-grained approximation of many other natural random planar map models (e.g., uniform triangulations and spanning tree-weighted maps), and are closely related to $\gamma$-Liouville quantum gravity (LQG) for $\gamma \in (0,2)$ if we take the correlation to be $-\cos(\pi\gamma^2/4)$. We prove estimates for the Dirichlet energy and the modulus of continuity of a large class of discrete harmonic functions on mated-CRT maps, which provide a general toolbox for the study of the quantitative properties random walk and discrete conformal embeddings for these maps. For example, our results give an independent proof that the simple random walk on the mated-CRT map is recurrent, and a polynomial upper bound for the maximum length of the edges of the mated-CRT map under a version of the Tutte embedding. Our results are also used in other work by the first two authors which shows that for a class of random planar maps --- including mated-CRT maps and the UIPT --- the spectral dimension is two (i.e., the return probability of the simple random walk to its starting point after $n$ steps is $n^{-1+o_n(1)}$) and the typical exit time of the walk from a graph-distance ball is bounded below by the volume of the ball, up to a polylogarithmic factor.
Phase space descriptions for simplicial 4D geometries

Starting from the canonical phase space for discretized (4D) BF theory, we implement a canonical version of the simplicity constraints and construct phase spaces for simplicial geometries. Our construction allows us to study the connection between different versions of Regge calculus and approaches using connection variables, such as loop quantum gravity. We find that on a fixed triangulation the (gauge invariant) phase space associated with loop quantum gravity is genuinely larger than the one for length and even area Regge calculus. Rather, it corresponds to the phase space of area–angle Regge calculus, as defined in [1] (prior to the imposition of gluing constraints, which ensure the metricity of the triangulation). Finally, we show that for a subclass of triangulations one can construct first-class Hamiltonian and diffeomorphism constraints leading to flat 4D spacetimes.
Investigating online purchase intention in the perspective of technology acceptance model: Empirical finding based on evidence in South Tangerang

Advances in information and communication technology enable consumers to increasingly conduct online purchase transactions. From the perspective of the Technology Acceptance Model (TAM), this study aims to examine the effect of perceived ease to use and perceived usefulness on consumers' intention to buy online in South Tangerang. The study used 130 data obtained through questionnaires distributed online to users of multiple consumer-to-consumer (C2C) e-commerce platforms. Determination of the sample is done by applying a non-probability sampling technique. Using multiple linear regression analysis techniques with SPSS software, the study found that perceived ease to use and perceived usefulness had a positive effect on the intention to buy online. Regression analysis shows that both perceived ease of use and perceived usefulness have significant effects on online purchase intention. However, the effect of perceived usefulness on intention to buy online is greater (β =.199, ρ-value <.000) than that of perceived ease to use (β =.277, ρ-value <.00). The findings of the study help to understand everything about online buying behavior and make strategic implications for digital-based companies to increase consumers' willingness to buy online.
Global adaptive prescribed‐time stabilization for high‐order nonlinear systems

In this article, the global adaptive prescribed‐time stabilization problem of high‐order ( p$$ p $$ ‐normal form) nonlinear systems with parametric uncertainties is studied. Compared with the existing results on time‐optimal control, our control algorithm eliminates the residual term caused by unknown parameters for the first time. By introducing the new Lyapunov‐like function and time‐varying function, a prescribed‐time controller with adaptive law is constructed, which ensures that the system state variables converge to the origin rather than a residual term, and the setting time can be arbitrarily specified. Moreover, with the help of the state transformations and the power integrator technique, the difficulties of system structure caused by the high power are overcome. Then, based on the differential equations, it is proved that the boundedness of all system signals. Finally, an example of underdrive system simulation is presented to verify the availabilities of the developed control algorithm.
Scattering and blow-up criteria for 3D cubic focusing nonlinear inhomogeneous NLS with a potential

In this paper, we consider the 3d cubic focusing inhomogeneous nonlinear Schr\"{o}dinger equation with a potential $$ iu_{t}+\Delta u-Vu+|x|^{-b}|u|^{2}u=0,\;\;(t,x) \in {{\bf{R}}\times{\bf{R}}^{3}}, $$ where $0 \mathcal{K}$ if $V$ satisfies some additional assumptions.0}\|_{L^{2}}^{2(1-s_{c})}\|H^{\frac{1}{2}}u_{0}\|_{L^{2}}^{2s_{c}}>\mathcal{K}$ if $V$ satisfies some additional assumptions.
Constituent Quark Model Description of Charmonium Phenomenology

We review how quark models are able to describe the phenomenology of the charm meson sector. The spectroscopy and decays of charmonium and open charm mesons are described in a particular quark model and compared with the data and the results of other existing models in the literature. A quite reasonable global description of the heavy meson spectra is reached. A new assignment of the ψ(4415) resonance as a 3D state leaving aside the 4S state to the X(4360) is tested through the analysis of the resonance structure in e+e- exclusive reactions around the ψ(4415) energy region. We make tentative assignments of some of the XYZ mesons. To elucidate the structure of the 1+cs states, i.e., Ds1(2460) and Ds1(2536), we study the strong decay properties of the Ds1(2536) meson. We also perform a calculation of the branching fractions for the semileptonic decays of B and Bs mesons into final states containing orbitally excited charmed and charmed-strange mesons, which have become a very important source of information about the structure of heavy mesons. Analysis of the nonleptonic B-meson decays into D(*)DsJ are also included.
Effect of Conjugated Linoleic Acid (CLA) Supplementation on Expression of B-Cell Lymphoma-2 (Bcl-2) in the Bladder Epithelium of Wistar (Rattus norvegicus) Rats Exposed to Cigarette Smoke

Background: Bladder carcinoma is the 10th most common cancer in the world with an incidence about 3% of all cancers. The risk factor for smoking is found in 81% of all cases of bladder carcinoma. One of the protein groups associated with bladder urothelial carcinoma is B-Cell Lymphoma-2 (Bcl-2). Nicotine-derived nitrosamine ketone (NNK) contained in cigarette smoke would increase the proliferation of cancer cells through increased the expression of Bcl-2. The expression of Bcl-2 could be suppressed in the presence of Conjugated Linoleic Acid (CLA), a polyunsaturated fatty acid that has role in reducing the risk of cancer development which is reported in several studies, and then stimulate cell apoptosis. Objective: To determine the effect of CLA supplementation on Bcl-2 expression in the bladder of rats which is exposed to cigarette smoke. Methods: The study is an experimental study with true experimental posttest only control group design on Wistar rats. Sample was divided into 2 case groups: 0.5% of diet (125 mg) CLA supplementation in group A, 1% of diet (250 mg) CLA in group B; and 2 control groups: group without CLA supplementation (group C) as positive control and without cigarette smoke exposure (group D) as negative control. The study takes 60 days of exposure and then Bcl-2 expression on bladder epithelial was evaluated by immunohistochemistry staining. Results: The results descriptively showed that rats in group C has an average Bcl-2 expression of 25.8±7.33%, while rats in group D has an average Bcl-2 expression 14.1±7.73% which means cigarette smoke exposure has been shown to increase the expression of Bcl-2 by 45.35% (p=0.019) in the bladder mucosa of experimental animals. Group B obtained an average Bcl-2 expression was 14.2±9.6% and has a significant difference when compared to group C, it shows that the addition of 1% CLA would reduce the expression of Bcl-2 by 44.96% (p=0.032). However, for group A, group with 0.5% diet of CLA supplementation did not showed decrease of Bcl-2 expression when compared to the group C (p=0.37). Conclusion: Conjugated Linoleic Acid (CLA) supplementation 1% of diet can reduce Bcl-2 expression in bladder epithelium of wistar rats (Rattus norvegicus) exposed to cigarette smoke.
Research on Floating Population and Enterprise Innovation Based on LightGBM

The research on the relationship between the floating population and social-economic development has always been a key research issue in population economics. This study first introduced the LightGBM to examine multi-dimensional floating population characteristics can predict enterprise innovation. Taking the dynamic survey data of China's floating population from 2011 to 2018 and listed enterprises as samples, the study verifies whether the characteristics of a floating population can predict enterprise innovation. Further, it analyzes the characteristics of the floating population and its prediction model, which has an excellent ability to predict enterprise innovation. The researchers have found that: 1) On the whole, the prediction ability to float population characteristics to enterprise innovation is limited. 2) Among many characteristics, the prediction ability of population mobility dimensional characteristics is higher. 3) There is a nonlinear relationship between characteristics and enterprise innovation, and there is a population crowding effect, which is consistent with the previous theory. 4) It is tested that the population crowding effect is through mechanisms such as human capital. This study uses the machine learning method to explore the characteristics of floating population more comprehensively and inspires the formulation and implementation of the government's industrial and talent policies and the development decisions of enterprises.
The Effect of Internal Factors on Performance Measurement in Indonesian Local Government

This study is motivated by the many problems found in performance measurement, especially in district/city governments in Indonesia. This study aims to examine the influence of internal factors, namely the participation of internal stakeholders, internal political support, and the organizational capacity of local government on performance measurement. The data for this study was gathered via a Google form, with 43 questionnaires addressed to the secretary and head of Serang City's program, evaluation, and reporting subdivision. Purposive sampling was used in this investigation, which took a quantitative approach. Structural Equation Modeling (SEM) with Smart Partial Least Square version 3.0 was used as an analytical technique. The results of this study indicate that internal stakeholder participation and the organizational capacity of local government have no significant effect on performance measurement. Internal political support has a significant effect on performance measurement. Meanwhile, the results of this study have several implications for local governments, especially district/city governments, namely as an evaluation material related to performance measurement at the district/city government level as well as providing information for the State Civil Apparatus (ASN) involved in Government Agency Performance Accountability Reports (LAKIP) to always improve their skills in measuring performance and paying attention to the outcomes to be achieved.