Miracle-dz/UniFAR-FTUs huggingface dataset:
On Functions Whose Mean Value Abscissas Are Midpoints, with Connections to Harmonic Functions

Abstract We investigate functions with the property that for every interval, the slope at the midpoint of the interval is the same as the average slope. More generally, we find functions whose average slopes over intervals are given by the slope at a weighted average of the endpoints of those intervals. This is equivalent to finding functions satisfying a weighted mean value property. In the course of our exploration, we find connections to harmonic functions that prompt us to explore multivariable analogs and the existence of “weighted harmonic functions. ”
Mapping the Galactic Halo. V. Sgr dSph Tidal Debris 60 degrees from the Main Body

As part of the Spaghetti Project Survey (SPS) we have detected a concentration of giant stars well above expectations for a smooth halo model. The position (l~350, b~50) and distance (~50 kpc) of this concentration match those of the Northern over-density detected by SDSS (Yanny et al. 2000, Ivezic et al. 2000). We find additional evidence for structure at ~80 kpc in the same direction. We present radial velocities for many of these stars, including the first published results from the 6.5m Magellan telescope. The radial velocities for stars in these structures are in excellent agreement with models of the dynamical evolution of the Sgr dwarf tidal debris, whose center is 60 degrees away. The metallicity of stars in these streams is lower than that of the main body of the Sgr dwarf, which may indicate a radial metallicity gradient prior to disruption.
Twisted moments of L-functions and spectral reciprocity

A reciprocity formula is established that expresses the fourth moment of automorphic L-functions of level q twisted by the ell-th Hecke eigenvalue as the fourth moment of automorphic L-functions of level ell twisted by the q-th Hecke eigenvalue. Direct corollaries include subconvexity bounds for L-functions in the level aspect and a short proof of an upper bound for the fifth moment of automorphic L-functions.
Plant Growth and Yield Response to Salinity Stress of Rice Grown under the Application of Different Nitrogen Levels and Bacillus pumilus Strain TUAT-1

Rice is an important food crop, and its production is significantly affected by salt stress under the changing climate. Soil-inhabiting microbial inoculants as well as efficient nitrogen (N) nutrition may have ameliorative effects on rice growth and yield under salt stress. However, the effects of the interaction between N application and microbial inoculants on the growth and grain yield of rice under salt stress is not yet fully understood. This study aimed to clarify whether the use of the Bacillus pumilus strain TUAT-1 biofertilizer, along with the right amount of N fertilizer, would alleviate salt stress in lowland rice production. We applied the Bacillus pumilus strain TUAT-1 as a biofertilizer in combination with different rates of N fertilizer: control (0% N), 2.64 g (NH4)2SO4 per nursery tray (100% N: the farmer-recommended amount), and 3.96 g (NH4)2SO4 per nursery tray (150% N). Salinity (100 mM of NaCl) was applied at the heading stage of rice plants in pot culture in the greenhouse, and the growth and yield components were accessed at harvest. In the nursery phase, the application of the biofertilizer TUAT-1 significantly increased seedling vigor and the root development of 21-day-old seedlings. Salinity stress at the heading stage significantly reduced chlorophyll content, panicle number, straw biomass, and grain yield; however, either the application of N alone or in combination with TUAT-1 ameliorated the salinity-related reduction in grain yield and yield component parameters. Plants receiving a high amount of N fertilizer (150% N) showed similar straw biomass and grain yield with or without TUAT-1 inoculation, regardless of saline or non-saline conditions. In both saline and control conditions, straw biomass and grain yield were higher in the plants inoculated with TUAT-1 than in those without TUAT-1. Specifically, the combined application of TUAT-1 and the farmer-recommended N level (100% N) led to an increase of 8% in straw biomass and 15% in grain yield under saline stress when compared with their respective plants without TUAT-1. Straw biomass and grain yield were similar in the (un-inoculated) plants grown under normal conditions and TUAT-1 + 100% N under salinity treatments, because TUAT-1 enhanced root development, which may promote soil nutrient uptake. Our results indicated that combined nursery application of TUAT-1 biofertilizer and 100% N fertilizer rate has the potential to boost the capacity of this bacteria to increase seedling vigor, which subsequently ameliorated the salt-induced reduction in the grain and straw yield.
Recurrence of multiply-ended planar triangulations

In this note we show that a bounded degree planar triangulation is recurrent if and only if the set of accumulation points of some/any circle packing of it is polar (that is, planar Brownian motion avoids it with probability 1). This generalizes a theorem of He and Schramm [6] who proved it when the set of accumulation points is either empty or a Jordan curve, in which case the graph has one end. We also show that this statement holds for any straight-line embedding with angles uniformly bounded away from 0.
On the Kauffman-Jones polynomial for virtual singular knots and links

We construct an extended Kauffman-Jones polynomial for virtual singular knots and links using a certain type of bivalent graphs. We prove that the resulting Laurent polynomial in indeterminate A decomposes non-trivially into two components with respect to powers of A modulo four, and that both components are invariants under the Reidemeister-type moves for virtual singular link diagrams.
Millimeter observations of the disk around GW Orionis

The GW Ori system is a pre-main sequence triple system (GW Ori A/B/C) with companions (GW Ori B/C) at similar to 1AU and similar to 8AU, respectively, from the primary (GW Ori A). The primary of the system has a mass of 3.9 M-circle dot, but shows a spectral type of G8. Thus, GW Ori A could be a precursor of a B star, but it is still at an earlier evolutionary stage than Herbig Be stars. GW Ori provides an ideal target for experiments and observations (being a "blown-up" solar system with a very massive sun and at least two upscaled planets). We present the first spatially resolved millimeter interferometric observations of the disk around the triple pre-main sequence system GW Ori, obtained with the Submillimeter Array, both in continuum and in the (CO)-C-12 J = 2-1, (CO)-C-13 J = 2 1, and (CO)-O-18 J = 2-1 lines. These new data reveal a huge, massive, and bright disk in the GW Ori system. The dust continuum emission suggests a disk radius of around 400AU, but the 12CO J = 2 1 emission shows a much more extended disk with a size around 1300AU. Owing to the spatial resolution (similar to 1"), we cannot detect the gap in the disk that is inferred from spectral energy distribution (SED) modeling. We characterize the dust and gas properties in the disk by comparing the observations with the predictions from the disk models with various parameters calculated with a Monte Carlo radiative transfer code RADMC-3D. The disk mass is around 0.12 M-circle dot, and the disk inclination with respect to the line of sight is around similar to 35 degrees. The kinematics in the disk traced by the CO line emission strongly suggest that the circumstellar material in the disk is in Keplerian rotation around GW Ori. Tentatively substantial (CO)-O-18 depletion in gas phase is required to explain the characteristics of the line emission from the disk.
Supplementary PolarMOT: How far can geometric relations take us in 3D multi-object tracking?

Training. As training data we use annotated training keyframes from the nuScenes [1] dataset. We represent labeled boxes as nodes in the graph. Edges in the graph are labeled positive if they connect nodes with the same track ID (across any number of frames) and negative otherwise. During model training, all input clips are processed individually and each edge is considered an independent sample that contributes to the total focal loss [4].
An Educational Data Mining Model based on Auto Machine Learning and Interpretable Machine Learning

This paper proposes a new Data Mining Educational Model for knowledge extraction with a minimum presence of data scientists, a scarce and determinant human resource for the application of machine learning in Data Mining. The model allows generating data sets semi-automatically, obtaining an optimized algorithm through automatic machine learning (AutoML) and explaining the results with interpretable machine learning (IML). It is applied in the field of University Education and implements a process with three general stages (Data Analysis and Integration, Data Modeling and Results Evaluation) and is validated by means of a friendly prototype to non-expert users with data obtained from an Argentine Public University. With this proposal we aim to allow universities to draw conclusions on complex problems, requiring a minimum number of data science experts and providing a framework for both end users and legal entities to be informed of the results generated.
ASSISTED TUNNELING IN FERROMAGNETIC JUNCTIONS AND HALF-METALLIC OXIDES

Different mechanisms of spin-dependent tunneling are analyzed with respect to their role in tunnel magnetoresistance (TMR). Microscopic calculation within a realistic model shows that direct tunneling in iron group systems leads to about a 30% change in resistance, which is close but lower than experimentally observed values. The larger observed values of the TMR might be a result of tunneling involving surface polarized states. It is found that tunneling via resonant defect states in the barrier radically decreases the TMR by order of magnitude. One-magnon emission is shown to reduce the TMR, whereas phonons increase the effect. The inclusion of both magnons and phonons reasonably explains an unusual bias dependence of the TMR. The model presented here is applied qualitatively to half metallics with 100% spin polarization, where one-magnon processes are suppressed and the change in resistance in the absence of spin mixing on impurities may be arbitrarily large. Even in the case of imperfect magnetic conf.
The unusual late-time evolution of the tidal disruption event ASASSN-15oi

We present late-time optical spectroscopy and X-ray, UV, and optical photometry of the nearby ($d=214$ Mpc, $z=0.0479$) tidal disruption event (TDE) ASASSN-15oi. The optical spectra span 450 days after discovery and show little remaining transient emission or evolution after roughly 3 months. In contrast, the Swift and XMM-Newton observations indicate the presence of evolving X-ray emission and lingering thermal UV emission that is still present 600 days after discovery. The thermal component of the X-ray emission shows a unique, slow brightening by roughly an order of magnitude to become the dominant source of emission from the TDE at later times, while the hard component of the X-ray emission remains weak and relatively constant throughout the flare. The TDE radiated $(1.32\pm0.06)\times10^{51}$ ergs across all wavelengths, and the UV and optical emission is consistent with a power law decline and potentially indicative of a late-time shift in the power-law index that could be caused by a transition in the dominant emission mechanism.
Spectroscopic Classification of Cataclysmic Variable Candidates

We present low‐resolution optical spectroscopy for six cataclysmic variable candidates and the old nova V888 Cen. We confirm the classification as cataclysmic variable for LB 9963 and FQ Mon, while the other four candidates turn out to be different types of stars. We discuss the individual spectra and pay special attention to the mass transfer rate and disk temperature and density of the three cataclysmic variables.
Blended Cured Quasi-Newton for Geometric Optimization

Optimizing deformation energies over a mesh, in two or three dimensions, is a common and critical problem in physical simulation and geometry processing. We present three new improvements to the state of the art: a barrier-aware line-search filter that cures blocked descent steps due to element barrier terms and so enables rapid progress; an energy proxy model that adaptively blends the Sobolev (inverse-Laplacian-processed) gradient and L-BFGS descent to gain the advantages of both, while avoiding L-BFGS's current limitations in geometry optimization tasks; and a characteristic gradient norm providing a robust and largely mesh- and energy-independent convergence criterion that avoids wrongful termination when algorithms temporarily slow their progress. Together these improvements form the basis for Blended Cured Quasi-Newton (BCQN), a new geometry optimization algorithm. Over a wide range of problems over all scales we show that BCQN is generally the fastest and most robust method available, making some previously intractable problems practical while offering up to an order of magnitude improvement in others.
Bandgap model using symbolic regression for environmentally compatible lead-free inorganic double perovskites

Data-driven models have become an essential practice of scientific research in the perovskite field, along with theory and experiments. Material informatics has emerged as a viable alternative method of exploring and formulating novel perovskite compounds using a descriptor-based approach. Herein, we develop a method that includes feature augmentation with symbolic regression to rapidly estimate and screen non-toxic lead-free inorganic double perovskites (A2BB'X6) using machine learning. Predictive models were created by identifying a physico-chemical relevant descriptor from an extensive pool of augmented features. Using primary atomic and molecular features, a high dimensional space of descriptors $(\text{containing}\approx 3\times 10^{5}$ features) was reconstructed using mathematical operators. By increasing the complexity from 1-D to 5-D descriptor, the correlation coefficient was increased from 81.6% to 92.4%. These accurate and interpretable models can then be employed for screening lead-free perovskites with appropriate bandgaps and stability.
Total-positivity preservers

We prove that the only entrywise transforms of rectangular matrices which preserve total positivity or total non-negativity are either constant or linear. This follows from an extended classification of preservers of these two properties for matrices of small size. We also prove that the same assertions hold upon working only with symmetric matrices; for total-positivity preservers our proofs proceed through solving two totally positive completion problems.
Compare and evaluate the severity of alveolar bone loss in female patients with and without tobacco smoking in chronic Periodontitis- an observational study

cleanliness of the individual, thanks to a greater knowledge of the host response. To the best of our knowledge, this is the first study of its kind to be conducted. Scarce research is seen regarding relationship of smoking females with periodontitis. The hypothesis of our study was that there is a significant association between tobacco cigarette smoking and periodontitis among female population. As a result, smoking appears to have a direct effect on periodontal tissues. Periodontitis is an inflammatory condition of the teeth’s supporting tissues caused by various microorganism that leads to the gradual deterioration of the periodontal ligament and alveolar bone, resulting in pocket formation, recession, or both . Smoking habits is prevalent in female gender extensively in this part of the country. Hence, this study was undertaken to analyse the clinical and radiological alterations in smokers and non- smokers female population to further strengthen our knowledge on etiopathogenesis of periodontal disease with effect modified by gender. Materials and Method 60 female patients in the age group of 25 – 50 years, with moderate to severe form of chronic Periodontitis, were divided into 2 groups- Group A-Female patients with tobacco smoking and Group B -Female patients without tobacco smoking. Results The result vary significantly in both the groups. In female smokers , molars were the gravely affected teeth in both maxillary and mandibular arches while the canines were the least affected and Palatal surface showed a greater bone loss in both upper and lower arches. Conclusion: In this study we have concluded that Bone loss higher in smoking population than their non-smoking cohorts. Maxillary molars had a higher amount of bone loss appreciated radiographically followed by maxillary incisors, premolars and canines. The same findings were true for mandibular molars. Maxillary palatal and mandibular lingual exhibited greater bone loss scores than buccal surfaces. We strongly recommend a prospective cohort study of cigarette smoking in females and its relation with periodontal disease in future research. All the periodontal parameters including gingival index, CAL , Plaque index significantly higher in female smokers as compared to non smokers
Dynamic Fibrils Are Driven by Magnetoacoustic Shocks

The formation of jets such as dynamic fibrils, mottles, and spicules in the solar chromosphere is one of the most important, but also most poorly understood, phenomena of the Sun's magnetized outer atmosphere. We use extremely high resolution observations from the Swedish 1 m Solar Telescope combined with advanced numerical modeling to show that in active regions these jets are a natural consequence of upwardly propagating slow-mode magnetoacoustic shocks. These shocks form when waves generated by convective flows and global p-mode oscillations in the lower lying photosphere leak upward into the magnetized chromosphere. We find excellent agreement between observed and simulated jet velocities, decelerations, lifetimes, and lengths. Our findings suggest that previous observations of quiet-Sun spicules and mottles may also be interpreted in light of a shock-driven mechanism.
Bosonic quadratic Hamiltonians

We discuss self-adjoint operators given formally by expressions quadratic in bosonic creation and annihilation operators. We give conditions when they can be defined as self-adjoint operators, possibly after an infinite renormalization. We also discuss explicit formulas for their infimum. Our main motivation comes from local quantum field theory, which furnishes interesting examples of bosonic quadratic Hamiltonians that require an infinite renormalization.
Prevalence of osteoporosis in patients with chronic liver disease (CLD) in a hospital; a cross-sectional study

Patients with chronic liver disease (CLD) are increasing aware of the consequence of osteoporosis. Low bone turnover, impaired osteoblast function, and low blood osteocalcin levels are the hallmarks of osteoporosis in CLD, which mostly affects trabecular bone. Osteoporosis is the public health issue of metabolic bone disease among the every age group throughout the globe especially in Pakistan. The current study was conducted in DHQ, KPK, Pakistan to determine the prevalence percentage of osteoporosis in patients during July 2020-2021. Out of 548 patients, the prevalence of osteoporosis was 22.9% at a 95% Confidence Interval (5.9-12.5%), which was higher among female (57.60%) than male (42.40%). The higher prevalence rate was recorded in old patients than young patients. The lower weight, height and cholestasis in sex are risk factors of osteoporosis in chronic liver disease. The early detection of disease can help in decreasing the socio-economic burden and fracture rates.
Supplementary of NeuRIS

Evaluation. As shown in Fig. 1, the output mesh by some TSDF-based (truncated signed distance function) methods [7, 13] is double-layered while the GT mesh is single-layered. Thus, it is not fair if using the original double-layered mesh to perform evaluations directly. Thus, for the double-layered mesh, we remove the back layer according to the visibility of triangle faces from cameras. In other words, if a triangle face is not visible to all cameras, this face will be removed. Another situation is that some areas in the predicted mesh by some methods, such as [7, 15], are out of the scope of the ground truth (GT) mesh as illustrated in the main paper. These areas in the predicted mesh should also be removed to guarantee fair comparisons. To address these issues, we remove faces in the areas in a (predicted) mesh that are not observed in its corresponding GT mesh or not visible to all cameras. Specifically, we clean the mesh following the steps below: (1) we first remove the faces that cannot be observed by any input view; (2) then we filter faces at empty regions of GT mesh by 2D masks, which are rendered from GT mesh for each input view. For each mask pixel, if there is no projection from the GT mesh for its incompleteness, the corresponding value is false, otherwise the value is true.
A note on the complex symmetric weighted composition operators over Hardy space.

This paper provides a class of complex symmetric weighted composition operators on $H^2(\mathbb{D})$ to includes the unitary subclass, the Hermitian subclass and the normal subclass obtained by Bourdon and Noor. A characterization of algebraic weighted composition operator with degree no more than two is provided to illustrate that the weight function of a complex symmetric weighted composition operator is not necessarily linear fractional. \end{abstract}
A Comparison with general image restoration methods

As shown in Table S2, we firstly compare our methods with state-of-the-art denoising methods (DnCNN [21], FFDNet [22], RDN [23], and SADNet [1]). Note that the FLOPs number of our method (14.1G) is much smaller than that of RDN (46.6G) or SADNet (45.8G), when the input is a 64 × 64 RGB image. We replace our backbone model (original transformer) with a specially designed transformer, Swin transformer [14] (termed as ‘TAPE-Net-swin-L’ in Table S2), which outperforms all the SOTA methods with our pre-training strategy. And we also compare with SOTA deraining methods in Table S3 and compare with SOTA demoireing methods in Table S4. Our method outperforms all these task-specific SOTA methods.
HAWAII 167 and Q0059-2735: Heavily Dust-Enshrouded Young QSOs

Using the OH-airglow suppressor spectrograph at the University of Hawaii 2.2m telescope and the CGS4 spectrometer at the United Kingdom Infrared Telescope, we have found exceptionally large Balmer decrements in two unusual high-z QSOs, Hawaii 167 (z=2.36, Ha/Hb = 13) and Q0059-2735 (z=1.59, Ha/Hb = 7.6), the latter being a so-called low-ionization broad absorption line QSO (BALQSO). We argue that these objects are young QSOs heavily enshrouded by dust. In fact, the internal reddening might be so large as to completely extinguish the QSO light in the restframe UV, allowing us to see the underlying stellar population. Our possible detection of the 4000 A break in Hawaii 167 supports this idea. Its small amplitude indicates a very young age for the population, ~15 Myrs. To explain the properties of these QSOs, we propose a model in which a young QSO is surrounded by a shell of young massive stars mixed with significant amounts of dust. We predict that as the QSO emerges from this dust cocoon, it will eventually take on the appearance of a normal BALQSO.