Miracle-dz/UniFAR-FTUs huggingface dataset:
Supernova kicks and dynamics of compact remnants in the Galactic Centre

The Galactic Centre (GC) is a unique place to study the extreme dynamical processes occurring near a super-massive black hole (SMBH). Here we investigate the role of supernova (SN) explosions occurring in massive binary systems lying in a disc-like structure within the innermost parsec. We use a regularized algorithm to simulate 30,000 isolated three-body systems composed of a stellar binary orbiting the SMBH. We start the integration when the primary member undergoes a SN explosion, and we analyze the impact of SN kicks on the orbits of stars and compact remnants. We find that SN explosions scatter the lighter stars in the pair on completely different orbits, with higher eccentricity and inclination. In contrast, stellar-mass black holes (BHs) and massive stars retain memory of the orbit of their progenitor star. Our results suggest that SN kicks are not sufficient to eject BHs from the GC. We thus predict that all BHs that form in situ in the central parsec of our Galaxy remain in the GC, building up a cluster of dark remnants. In addition, the change of NS orbits induced by SNe may partially account for the observed dearth of NSs in the GC. About 40 per cent of remnants stay bound to the stellar companion after the kick; we expect up to 70 per cent of them might become X-ray binaries through Roche-lobe filling. Finally, the eccentricity of some light stars becomes > 0.7 as an effect of the SN kick, producing orbits similar to those of the G1 and G2 dusty objects.
Model Reference Adaptive System Based Sensor less Vector Control of Induction Motor Using Fuzzy PID Controller

In this paper, parameter variation of induction motor is estimated using sensor less vector control. Among different adaptive control of induction motor drive, the model reference adaptive system (MRAS) is one of the promising methods that has been used in this paper. MRAS model is important because it can be used over a wide range of speed variation. The error between adjustable and reference model is calculated in the stationary reference frame. The estimated speed is then calculated by an adaptive mechanism from measured terminal voltage and current of induction motor. In this paper an adaptive mechanism with fuzzy logic controller and performance of MRAS with PID controller implemented in MATLAB/Simulink environment. These schemes are applied to induction motor for sensor less speed control.
Degrees of iterates of rational maps on normal projective varieties

Let X be a normal projective variety defined over an algebraically closed field of arbitrary characteristic. We study the sequence of intermediate degrees of the iterates of a dominant rational selfmap of X , recovering former results by Dinh and Sibony (Ann. Sci. Éc. Norm. Supér. (4) 37 (2004) 959–971), and by Truong (J. Reine Angew. Math. 758 (2020) 139–182). Precisely, we give a new proof of the submultiplicativity properties of these degrees and of their birational invariance. Our approach exploits intensively positivity properties in the space of numerical cycles of arbitrary codimension. In particular, we prove an algebraic version of an inequality first obtained by Xiao (Ann. Inst. Fourier (Grenoble) 65 (2015) 1367–1369) and Popovici (Math. Ann. 364 (2016) 649–655), which generalizes Siu's inequality (see Trapani, Math. Z 219 (1995) 387–401) to algebraic cycles of arbitrary codimension. This allows us to show that the degree of a map is controlled up to a uniform constant by the norm of its action by pull‐back on the space of numerical classes in X .
Spectral and timing studies of 2S 1417−624 during a giant outburst

We present the results obtained from timing and spectral studies of the accretion powered X-ray pulsar 2S~1417-624 during a giant outburst in 2009 by using {\it Rossi X-ray Timing Explorer (RXTE)} observations. X-ray pulsations were detected in the light curves obtained from all epochs of observations. The pulsar was found to be spinning-up during the outburst. The pulse profiles were observed to be strongly dependent on photon energy and luminosity. A double peaked profile at lower luminosity evolved into a triple peaked profile at the peak of the outburst which is further reverted back to a double peaked structure during the decay of the outburst. An anti-correlation was also observed between the pulse fraction and the source flux. The 3-70 keV energy spectrum of pulsar was well described with a power law modified with high energy cutoff model along with an iron fluorescence line at 6.4 keV. Based on the evolution of pulse profile, pulse fraction and spectral parameters across observed luminosity, we interpret our results in terms of changes in the pulsar beam configuration from sub-critical to super-critical regimes.
Algebraic functional equations and completely faithful Selmer groups

Let E be an elliptic curve — defined over a number field K — without complex multiplication and with good ordinary reduction at all the primes above a rational prime p ≥ 5. We construct a pairing on the dual p∞-Selmer group of E over any strongly admissible p-adic Lie extension K∞/K under the assumption that it is a torsion module over the Iwasawa algebra of the Galois group G = Gal(K∞/K). Under some mild additional hypotheses, this gives an algebraic functional equation of the conjectured p-adic L-function. As an application, we construct completely faithful Selmer groups in case the p-adic Lie extension is obtained by adjoining the p-power division points of another non-CM elliptic curve A.
On the last digit and the last non-zero digit of $n^n$ in base $b$

In this paper we study the sequences defined by the last and the last non-zero digits of $n^n$ in base $b$. For the sequence given by the last digits of $n^n$ in base $b$, we prove its periodicity using different techniques than those used by W. Sierpinski and R. Hampel. In the case of the sequence given by the last non-zero digits of $n^n$ in base $b$ (which had been studied only for $b=10$) we show the non-periodicity of the sequence when $b$ is an odd prime power and when it is even and square-free. We also show that if $b=2^{2^s}$ the sequence is periodic and conjecture that this is the only such case.
GSK3β Inhibition Prevents Macrophage Reprogramming by High-Dose Methotrexate

Methotrexate (MTX) is an antifolate drug used as a chemotherapeutic agent for acute lymphoblastic leukemia, where MTX improves patients’ prognosis. Macrophage reprogramming is being increasingly assessed as an antitumor therapeutic strategy. However, and although MTX limits the pathogenic action of macrophages in chronic inflammatory diseases, its effects on tumor-promoting macrophages have not been previously explored. We now report that MTX shapes the transcriptional and functional profile of M-CSF-dependent human macrophages, whose transcriptome is highly enriched in the gene signature that defines pathogenic tumor-associated macrophages (“large TAM”). Specifically, MTX prompted the acquisition of the gene signature of antitumoral “small TAM” and skewed macrophages toward an IL-6high IFNβ1high IL-10low phenotype upon subsequent stimulation. Mechanistically, the MTX-induced macrophage reprogramming effect correlated with a reduction of the M-CSF receptor CSF1R expression and function, as well as a diminished expression of MAF and MAFB transcription factors, primary determinants of pro-tumoral macrophages whose transcriptional activity is dependent on GSK3β. Indeed, the ability of MTX to transcriptionally reprogram macrophages toward an antitumoral phenotype was abrogated by inhibition of GSK3β. Globally, our results establish MTX as a macrophage reprogramming drug and indicate that its ability to modulate macrophage polarization may also underlie its therapeutic benefits. Since GSK3β inhibition abrogates the reprogramming action of MTX, our results suggest that the GSK3β-MAFB/MAF axis constitutes a target for the macrophage-centered antitumor strategies.
Reconstruction of the Social Cash Transfers System in Poland and Household Well-being: 2015 – 2018 Evidence

In this study, the impact of social benefits on poverty, and economic activity in Poland is examined. In 2016 a huge programme of cash transfers, referred to as Family 500+, was introduced. It was intended to support families with children, especially the poorest ones, and to foster fertility. The impact of the transfers is examined through the observation of changes in monetary and multidimensional poverty following the reconstruction of the social benefits system. Changes in the recipients’ behaviour are also investigated using estimates of regression models and treatment effects. The Family 500+ programme appeared to be successful as an anti-poverty tool and also resulted in average well-being increases for the whole population. However, it was also followed by the reduction of the economic activity of some recipients, especially in 2016 and 2017. The abovementioned trends partly reversed in 2018. As some income data in lower parts of the distribution seem to be flawed, income imputations, based on regression on income correlates, are employed.
A recursive algorithm and a series expansion related to the homogeneous Boltzmann equation for hard potentials with angular cutoff

We consider the spatially homogeneous Boltzmann equation for hard potentials with angular cutoff. This equation has a unique conservative weak solution $(f_t)_{t\geq 0}$, once the initial condition $f_0$ with finite mass and energy is fixed. Taking advantage of the energy conservation, we propose a recursive algorithm that produces a $(0,\infty)\times\mathbb{R}^3$ random variable $(M_t,V_t)$ such that $E[M_t {\bf 1}_{\{V_t \in \cdot\}}]=f_t$. We also write down a series expansion of $f_t$. Although both the algorithm and the series expansion might be theoretically interesting in that they explicitly express $f_t$ in terms of $f_0$, we believe that the algorithm is not very efficient in practice and that the series expansion is rather intractable. This is a tedious extension to non-Maxwellian molecules of Wild's sum and of its interpretation by McKean.
The Tully-Fisher Relation in Cluster Cl 0024+1654 at z = 0.4

Using moderate-resolution Keck spectra, we have examined the velocity profiles of 15 members of cluster Cl 0024+1654 at z = 0.4. WFPC2 images of the cluster members have been used to determine structural parameters, including disk sizes, orientations, and inclinations. We compare two methods of optical rotation curve analysis for kinematic measurements. Both methods take seeing, slit size and orientation, and instrumental effects into account and yield similar rotation velocity measurements. Four of the galaxies in our sample exhibit unusual kinematic signatures, such as noncircular motions. Our key result is that the Cl 0024 galaxies are marginally underluminous (0.50 ± 0.23 mag), given their rotation velocities, as compared to the local Tully-Fisher relation. In this analysis, we assume no slope evolution and take into account systematic differences between local and distant velocity and luminosity measurements. Our result is particularly striking considering that the Cl 0024 members have very strong emission lines and local galaxies with similar Hα equivalent widths tend to be overluminous on the Tully-Fisher relation. Cl 0024 Tully-Fisher residuals appear to be correlated most strongly with galaxy rotation velocities, indicating a possible change in the slope of the Tully-Fisher relation. However, we caution that this result may be strongly affected by magnitude selection and by the original slope assumed for the analysis. Cl 0024 residuals also depend weakly on color, emission-line strength and extent, and photometric asymmetry. In a comparison of stellar and gas motions in two Cl 0024 members, we find no evidence for counterrotating stars and gas, an expected signature of mergers.
Psychopharmacological Approaches to a Case of Treatment Resistant Adolescent Depression.

Clinical Case Rounds Editor’s note: Welcome to the second “Psychopharmacology Challenge” from the Journal of the Canadian Academy of Child and Adolescent Psychiatry. Three clinicians (and their residents, in some cases) with expertise in pediatric psychopharmacology were asked to review the following patient vignette, and in 1000 words or less, describe the top three pharmacotherapy-related changes they would recommend for this patient, along with their clinical reasoning. Clinicians were asked to focus on psychopharmacology, but could also briefly indicate any suggested psychosocial intervention plans. For medication changes, clinicians were asked to include a recommended dosing titration plan [if applicable], and any additional testing they would order, including a recommended frequency of such testing. Clinicians were also asked to provide supporting literature citations for recommendations.
Radii of starlikeness and convexity of generalized k-Bessel functions

Abstract The main purpose of this study is to determine the radii of starlikeness and convexity of the generalized k-Bessel functions for three different kinds of normalization in such a way that the resulting functions are analytic in the unit disk of the complex plane. The characterization of entire functions from Laguerre–Pólya class plays a significant role in this paper. Moreover, the interlacing properties of the zeros of the k-Bessel function and its derivative is also useful in the proof of the main results. By making use of the Euler–Rayleigh inequalities for the real zeros of the generalized k-Bessel function, we obtain some tight lower and upper bounds for the radii of starlikeness and convexity of order zero.
Phase uniqueness for the Mallows measure on permutations

For a positive number $q$ the Mallows measure on the symmetric group is the probability measure on $S_n$ such that $P_{n,q}(\pi)$ is proportional to $q$-to-the-power-$\mathrm{inv}(\pi)$ where $\mathrm{inv}(\pi)$ equals the number of inversions: $\mathrm{inv}(\pi)$ equals the number of pairs $i \pi_j$. One may consider this as a mean-field model from statistical mechanics. The weak large deviation principle may replace the Gibbs variational principle for characterizing equilibrium measures. In this sense, we prove absence of phase transition, i.e., phase uniqueness.
Study the hypolipidemic effects of Carob (Ceratonia siliqua) and vitamin E in albino rabbits

The current study was aimed to determining the effects of carob and vitamin E on liver functions and lipid profile in white rabbits. 20 male rabbits were used in this work, (age 5-6 month) get from local market in Kirkuk city. The rabbits were divided to the following groups (each group was content 5 male): Control group received standard diet, extract group that administrated (orally) with root extract 200mg/kg. , extract group that administrated with root extract 400mg/kg. , Vit. E group that administrated with vit. E 400mg/kg. Blood was drawn (cardiac puncture) monthly from each group for the duration of the study, which lasted for 5 months. the results showed significant (P<0.05) decreased in the lipid profile parameters (total cholesterol, triglyceride and HDL) especially in the third month after administration of 400mg/kg carob extract group. Also, the results of current study showed significant (P<0.05) decreased in the levels of liver enzymes especially in the third month after administration of 400mg/kg carob extract group. Therefore, it is concluded from the current study that carob play important as hypolipidermic effect and supports the functional aspect liver.
Comprehensive Analysis Reveals PTK6 as a Prognostic Biomarker Involved in the Immunosuppressive Microenvironment in Breast Cancer

The significant mortality rate that is currently experienced by female breast cancer (BC) patients highlights the importance of locating potent and dependable biomarkers in BC patients. Over the past few years, a number of studies have demonstrated that PTK6 was dysregulated in a variety of cancers. However, its expression and the clinical importance it may have in patients with BC have not been explored. Based on datasets from the TCGA database and GTEx database, we studied the expressions and functions of PTK6 across 33 different kinds of cancer. In this study, we investigated the differential expression of PTK6 in tumor tissue compared to nontumor tissue as well as in various stages of cancer. ROC assays were used to conduct an investigation into the diagnostic potential of PTK6 in BC. After that, the Kaplan-Meier method, univariate analysis, and multivariate analysis were carried out in order to investigate the PTK6 gene's potential prognostic significance in patients with BC. ssGSEA was utilized in order to conduct an investigation of the immune infiltration. In this study, we discovered that the expressions of PTK6 were significantly raised in the majority of different types of malignancies, including BC. The diagnostic value of PTK6 expression was validated by ROC tests, demonstrating an AUC greater than 0.7. A positive PR, ER, and HER2 status was found to be related with high expression levels of PTK6. According to the results of a survival analysis, patients who had a high level of PTK6 expression had a shorter overall survival time than those who had a low level of PTK6 expression. Besides, we observed that PTK6 expressions were positively correlated with the abundance of NK CD56bright cells and Th17 cells and negatively correlated with that of Th1 cells, macrophages, B cells, T cells, aDC, DC, cytotoxic cells, Tem, TFH, NK CD56dim cells, Treg, and Tgd. In conclusion, PTK6 expression was found to be linked with the clinical phenotype of BC, and as a result, this finding may have consequences for the diagnosis, prognosis, and treatment of individuals with BC.
Point-actuated feedback control of multidimensional interfaces

We consider the application of feedback control strategies with point actuators to multidimensional evolving interfaces in order to stabilize desired states. We take a Kuramoto–Sivashinsky equation as a test case; this equation arises in the study of thin liquid films, exhibiting a wide range of dynamics in different parameter regimes, including unbounded growth and full spatiotemporal chaos. The controls correspond physically to mass-flux actuators located in the substrate on which the liquid film lies. In the case of partial state observability, we utilize a proportional control strategy where forcing at a point depends only on the local observation. We find that point-actuated controls may inhibit unbounded growth of a solution, if the actuators are sufficient in number and in strength, and can exponentially stabilize the desired state. We investigate actuator arrangements, and find that the equidistant case is the most favourable for control performance, with a large drop in effectiveness for poorly arranged actuators. Proportional controls are also used to synchronize two chaotic solutions. When the interface is fully observable, we construct model-based controls using the linearization of the governing equation. These improve on proportional controls and are applied to stabilize non-trivial steady and travelling wave solutions.
Resonating-valence-bond structure of Gutzwiller-projected superconducting wave functions

Gutzwiller-projected (GP) wave functions have been widely used for describing spin-liquid physics in frustrated magnets and in high-temperature superconductors. Such wave functions are known to represent states of the resonating-valence-bond (RVB) type. In the present work I discuss the RVB structure of a GP singlet superconducting state with nodes in the spectrum. The resulting state for the undoped spin system may be described in terms of the "path integral" over loop coverings of the lattice, thus extending the known construction for RVB states. The problem of the topological order in GP states may be reformulated in terms of the statistical behavior of loops. The simple example of the projected d-wave state on the square lattice demonstrates that the statistical behavior of loops is renormalized in a nontrivial manner by the projection.
Nucleon Generalized Parton Distributions from Full Lattice QCD

We present a comprehensive study of the lowest moments of nucleon generalized parton distributions in N{sub f}=2+1 lattice QCD using domain-wall valence quarks and improved staggered sea quarks. Our investigation includes helicity dependent and independent generalized parton distributions for pion masses as low as 350 MeV and volumes as large as (3.5 fm){sup 3}, for a lattice spacing of 0.124 fm. We use perturbative renormalization at one-loop level with an improvement based on the nonperturbative renormalization factor for the axial vector current, and only connected diagrams are included in the isosinglet channel.
Stability of the Markov operator and synchronization of Markovian random products

We study Markovian random products on a large class of ‘m-dimensional’ connected compact metric spaces (including products of closed intervals and trees). We introduce a splitting condition, generalizing the classical one by Dubins and Freedman, and prove that this condition implies the asymptotic stability of the corresponding Markov operator and (exponentially fast) synchronization.
On Lane–Emden Systems with Singular Nonlinearities and Applications to MEMS

Abstract In this paper we analyze the Lane–Emden system - Δ ⁢ u = λ ⁢ f ⁢ ( x ) ( 1 - v ) 2 ⁢ in ⁢ Ω , - Δ ⁢ v = μ ⁢ g ⁢ ( x ) ( 1 - u ) 2 ⁢ in ⁢ Ω , 0 ≤ u , v < 1 ⁢ in ⁢ Ω , u = v = 0 ⁢ on ⁢ ∂ ⁡ Ω , -\Delta u=\frac{\lambda f(x)}{(1-v)^{2}}\text{ in }\Omega,\quad-\Delta v=\frac% {\mu g(x)}{(1-u)^{2}}\text{ in }\Omega,\quad 0\leq u,v<1\text{ in }\Omega,% \quad u=v=0\text{ on }\partial\Omega, where λ and μ are positive parameters and Ω is a smooth bounded domain of ℝN(N≥1){\mathbb{R}^{N}(N\geq 1)}. Here we prove the existence of a critical curve Γ which splits the positive quadrant of the (λ,μ){(\lambda,\mu)}-plane into two disjoint sets 𝒪1{\mathcal{O}_{1}} and 𝒪2{\mathcal{O}_{2}} such that the Lane–Emden system has a smooth minimal stable solution (uλ,vμ){(u_{\lambda},v_{\mu})} in 𝒪1{\mathcal{O}_{1}}, while for (λ,μ)∈𝒪2{(\lambda,\mu)\in\mathcal{O}_{2}} there are no solutions of any kind. We also establish upper and lower estimates for the critical curve Γ and regularity results on this curve if N≤7{N\leq 7}. Our proof is based on a delicate combination involving a maximum principle and Lp{L^{p}} estimates for semi-stable solutions of the Lane–Emden system.