Miracle-dz/UniFAR-FTUs huggingface dataset:
Laplacian Preconditioning of Elliptic PDEs: Localization of the Eigenvalues of the Discretized Operator

In the paper \textit{Preconditioning by inverting the {L}aplacian; an analysis of the eigenvalues. IMA Journal of Numerical Analysis 29, 1 (2009), 24--42}, Nielsen, Hackbusch and Tveito study the operator generated by using the inverse of the Laplacian as preconditioner for second order elliptic PDEs $\nabla \cdot (k(x) \nabla u) = f$. They prove that the range of $k(x)$ is contained in the spectrum of the preconditioned operator, provided that $k$ is continuous. Their rigorous analysis only addresses mappings defined on infinite dimensional spaces, but the numerical experiments in the paper suggest that a similar property holds in the discrete case. % Motivated by this investigation, we analyze the eigenvalues of the matrix $\bf{L}^{-1}\bf{A}$, where $\bf{L}$ and ${\bf{A}}$ are the stiffness matrices associated with the Laplace operator and general second order elliptic operators, respectively. Without any assumption about the continuity of $k(x)$, we prove the existence of a one-to-one pairing between the eigenvalues of $\bf{L}^{-1}\bf{A}$ and the intervals determined by the images under $k(x)$ of the supports of the FE nodal basis functions. As a consequence, we can show that the nodal values of $k(x)$ yield accurate approximations of the eigenvalues of $\bf{L}^{-1}\bf{A}$. Our theoretical results are illuminated by several numerical experiments.
ALLELOPATHIC EFFECT OF SOME WEED SPECIES ON GERMINATION AND INITIAL DEVELOPMENT OF LACTUCA SATIVA

Aim of this study was to evaluate the allelopathic effect of 10 invasive weeds in forage crops ( Abutilon theophrasti Medik., Amaranthus blitoides S. Wats, Amaranthus retroflexus L., Aristolochia clematitis L., Cirsium arvense Scop. (L.), Chenopodium album L. , Matricaria perforata Merat. , Setaria viridis (L.) P. Beauv. , Sonchus arvensis L. and Sorghum halepense (L.) Pers. ) on the germination and the initial development of Lactuca sativa L. cultivar Great Lakes. Ex-situ experiment was carried out as follows: 20 ml (0.75%) agar were pipetted into Petri dishes and the dried weed biomass was added at concentrations 0.05, 0.1, 0.2, 0.4, 0.8% w/v. Samples were stored at 18 ± 2°С for 72 h, then 10 seeds of test plant were placed into agar. Distilled water was used as a control. Samples were placed in a thermostat-operated device at 22 ± 2°С for 5 days and the number of germinated seeds, % of germination against the control, length of the hypocotyl, root and seedling were measured. Index of plant development (GI) was calculated for assessment of the allelopathic effect of weeds on the early seedling growth and the initial development. Most pronounced inhibition on the seed germination and GI (especially of the radix) was found for Matricaria perforata and Amaranthus retroflexus where LC 50 =0.2-0.4% w/v and LC 100 <0.8% w/v. Allelopathic potential of Cirsium arvense, Setaria viridis and Sorghum halepense could be defined as weak as LC 50 =0.5-0.8% w/v and the lowest concentrations stimulated both germination and hypocotyl development.
Evaluation Of Effect Of Dental Implant Thread Design On Marginal Bone Loss Using CBCT

Background: Dental implants have revolutionized dentistry for managing partially and fully edentulous patients. The present studywas conducted to evaluate effect of dental implant thread design on marginal bone loss using CBCT.Materials & Methods: 90 patients who received 125 dental implants of both genders were divided into 2 groups of 45 each. Group Ipatients received spiral implants and group II patients received dual fit implants. All patients were subjected to CBCT scan taken withPlanmica CBCT machine. Patients were recalled after 6 months and CBCT scans were repeated.Results: Group I had 25 males and 20 females and group II had 22 males and 23 females. The mean marginal bone loss in group I was2.01 mm and in group II was 2.23 mm. The difference was significant (P< 0.05). The mean survival rate in group I was 96.5% and ingroup II was 95.2%. The difference was significant (P< 0.05). Conclusion: Spiral implants had higher survival rate and minimum less bone loss as compared to dual fit implants. The use of CBCTcould aid in the accurate identification of bone loss around dental implants.
A New Method for Wide-field Near-IR Imaging with the Hubble Space Telescope

We present a new technique for wide and shallow observations using the near-infrared channel of Wide Field Camera 3 (WFC3) on the Hubble Space Telescope (HST). Wide-field near-IR surveys with HST are generally inefficient, as guide star acquisitions make it impractical to observe more than one pointing per orbit. This limitation can be circumvented by guiding with gyros alone, which is possible as long as the telescope has three functional gyros. The method presented here allows us to observe mosaics of eight independent WFC3-IR pointings in a single orbit by utilizing the fact that HST drifts by only a very small amount in the 25 s between non-destructive reads of unguided exposures. By shifting the reads and treating them as independent exposures the full resolution of WFC3 can be restored. We use this “drift and shift” (DASH) method in the Cycle 23 COSMOS-DASH program, which will obtain 456 WFC3 H160 pointings in 57 orbits, covering an area of 0.6 degree in the COSMOS field down to H160 = 25. When completed, the program will more than triple the area of extra-galactic survey fields covered by near-IR imaging at HST resolution. We demonstrate the viability of the method with the first four orbits (32 pointings) of this program. We show that the resolution of the WFC3 camera is preserved, and that structural parameters of galaxies are consistent with those measured in guided observations.
Koncepcja i implementacja systemu pomiarowego do zdalnego monitorowania stanu wału przeciwpowodziowego nad Odrą

The article presents the architecture of proposed and implemented measurement system for collecting and presenting current information on the flood embankment condition. The system periodically collects data from sensors connected to the data logger, which are finally sent to the server. Based on the analysis of collected measurements, the condition of the flood embankment can be assessed, and in the case of any irregularities, the system can generate appropriate alarms. ( Concept and implementation of the measurement system for the Odra river flood embankment remote state monitoring ).
A GeV SOURCE IN THE DIRECTION OF SUPERNOVA REMNANT CTB 37B

Supernova remnants (SNRs) are the most attractive candidates for the acceleration sites of Galactic cosmic rays. We report the detection of GeV γ-ray emission with the Pass 8 events recorded by the Fermi Large Area Telescope (Fermi-LAT) in the vicinity of the shell-type SNR CTB 37B that is likely associated with the TeV γ-ray source HESS J1713–381. The photon spectrum of CTB 37B is consistent with a power law with an index of 1.89 ± 0.08 in the energy range of 0.5–500 GeV, and the measured flux connects smoothly with that of HESS J1713–381 at a few hundred GeV. No significant spatial extension and time variation are detected. The multi-wavelength data can be well fitted with either a leptonic model or a hadronic one. However, parameters of both models suggest more efficient particle acceleration than typical SNRs. Meanwhile, the X-ray and γ-ray spectral properties of CTB 37B show that it is an interesting source bridging young SNRs dominated by non-thermal emission and old SNRs interacting with molecular clouds.
Adult Favism in Al-Ramadi City

Objectives: to examine the methods used to diagnose favism at Al-Rammadi Pediatric Hospital in adult patients who have a history of the condition.Patients and method: The investigation was conducted from January 1 to December 31, 2021. The group was then divided into two. Throughout the course of the trial, group 1 participants were all patients who were admitted to a pediatric hospital and diagnosed with favism. Any patients with a protracted history of favism who were met in routine medical practice throughout the trial period and gave his consent were also added to group 2 if they chose to participate.Results: A total of 41 patients were present; group 1 consisted of 20 men and 5 women, whereas group 2 consisted of 16 patients (13 men and 3 women). Group 1's diagnosis of favism was primarily clinical in the absence of sufficient test evidence. Of them, 11 had relatives who had suffered from favism, and four of them had alarmingly lengthy histories of the illness. One patient in group 2 had a potentially dangerous past history of favism, six had a family history of the disease, ten had a G6PD test completed, and seven of them had the disease confirmed. The ingestion of fava beans was resumed in the 14 patients who were left for a variety of reasons after Favism. Every instance in both groups occurred between the end of February to the end of April.
Approximation and Uncertainty Quantification of Stochastic Systems with Arbitrary Input Distributions using Weighted Leja Interpolation

Approximation and uncertainty quantification methods based on Lagrange interpolation are typically abandoned in cases where the probability distributions of one or more system parameters are not normal, uniform, or closely related distributions, due to the computational issues that arise when one wishes to define interpolation nodes for general distributions. This paper examines the use of the recently introduced weighted Leja nodes for that purpose. Weighted Leja interpolation rules are presented, along with a dimension-adaptive sparse interpolation algorithm, to be employed in the case of high-dimensional input uncertainty. The performance and reliability of the suggested approach is verified by four numerical experiments, where the respective models feature extreme value and truncated normal parameter distributions. Furthermore, the suggested approach is compared with a well-established polynomial chaos method and found to be either comparable or superior in terms of approximation and statistics estimation accuracy.
Bacteriological Profile of Diabetic Ulcer Foot and Their Antimicrobial Susceptibility Pattern in a Tertiary Care Hospital, Trichy

Background: Wound infections are the major factor for development of diabetic foot ulcer.Objectives: To identify the prevalence of aerobic bacterial isolates and its antimicrobial susceptibility pattern in diabetic foot ulcer patients.Methods: The Prospective observational study was undertaken from July 16th to September 16th 2017 in tertiary care teaching Hospital, Tiruchirappalli, Tamilnadu.Result: Seventy-three (73) organisms were isolated from 63 diabetic foot ulcer patients. Staphylococcus aureus (26%), E. coli (19.2%) and Pseudomonas aeruginosa (19.2%) were isolated. MRSA with 53% were showed 100% sensitivity to vancomycin, linizolid and teicoplanin. By phenotypic Confirmatory Disc Diffusion Test, 57.1% of E. coli were ESBL producers whereas 50% of Klebsiella species were ESBL producers. All ESBL producers showed 100% sensitivity to imipenem.Interpretation and Conclusion: The microbiological report helps for initiating the narrow spectrum antibiotic therapy and reduce the emergence of multidrug resistant organisms.
Measuring coherence with entanglement concurrence

Quantum coherence is a fundamental manifestation of the quantum superposition principle. Recently, Baumgratz et al (2014 Phys. Rev. Lett. 113 140401) presented a rigorous framework to quantify coherence from the view of theory of physical resource. Here we propose a new valid quantum coherence measure which is a convex roof measure, for a quantum system of arbitrary dimension, essentially using the generalized Gell-Mann matrices. Rigorous proof shows that the proposed coherence measure, coherence concurrence, fulfills all the requirements dictated by the resource theory of quantum coherence measures. Moreover, strong links between the resource frameworks of coherence concurrence and entanglement concurrence is derived, which shows that any degree of coherence with respect to some reference basis can be converted to entanglement via incoherent operations. Our work provides a clear quantitative and operational connection between coherence and entanglement based on two kinds of concurrence. This new coherence measure, coherence concurrence, may also be beneficial to the study of quantum coherence.
BIOMEDICAL ENGINEERING OF PROSTHETIC LIMBS AND ROLE OF PHYSIOTHERAPIST ABOUT IT

This short review focus on pre-prosthetic preparation and rehabilitation of patients who have limb amputation. The father of the prosthesis limb is Ambrosia Pare. He discovered the term prosthesis on 4 November 1846 the prosthesis limbs came from the mind of biomedical Engineering which are made up of Acrylic Resin, Carbon Fibre, Thermoplastic Silicone Aluminium Titanium, etc. They play the main role to improve motion movements and rehabilitation of the joints that’s why they are also used to improve rehabilitation in the prosthesis limb. In medicine a prosthesis or prosthetic implant is an artificial device that replace a missing body part, which may be lost through trauma, disease, or a condition present at birth. Prostheses are intended to restore the normal functions of the missing body part. It is an functional replacement for an pegleg in most case the patient should get died due to excessive amount of surgery and medical treatment, physiotherapy leads to enhance the muscle spasm and also use to give strength.
$p$-adic generalized hypergeometric equations from the viewpoint of arithmetic $\scr{D}$-modules}$

abstract:We study the $p$-adic (generalized) hypergeometric equations by using the theory of multiplicative convolution of arithmetic $\scr{D}$-modules. As a result, we prove that the hypergeometric isocrystals with suitable rational parameters have a structure of overconvergent $F$-isocrystals.
Ecophysiological characterization of a nitrite-oxidizing bacterial culture from a freshwater aquaculture pond

Abstract Nitrite is harmful to aquatic animals in freshwater pond aquaculture environments. Nitrite is oxidized to nitrate mainly by nitrite-oxidizing bacteria (NOB). NOB may be promising in the control of nitrite concentration in aquaculture water. To better understand the role of NOB in the nitrogen cycling process of freshwater aquaculture ponds, we describe the characterization of NOB by using a culture derived from a freshwater aquaculture pond. Analysis by 16S rRNA sequence alignment showed that the NOB in the culture belong to the genus Nitrospira, whose generation time and nitrite–oxidizing rate were 9.87 h and 4.63 (± 0.07) pg NO2 −–N cell−1·h−1 in the exponential growth phase, respectively. The oxidation of nitrite could be inhibited completely when the concentration of dissolved oxygen was 1.0 ± 0.5 mg/L. −1 The NOB could oxidize nitrite into nitrate at 29.84‰ salinity. However, the nitrification rate decreased significantly with an increase in salinity concentration ranging from 5.72‰ to 29.84‰. The optimal temperature range was 25–37 °C for the growth of NOB, and activity significantly decreased when the temperature was below 20 °C or reached 40 °C. In this study, the initial pH 6 ± 0.1–8 ± 0.1 was not observed to affect the nitrification activity of the NOB culture. Illumination of 410 ± 10 nm can completely inhibit NOB nitrification, and 520 ± 10 nm illumination partially inhibits NOB, whereas 660 ± 10 nm illumination has no effect. These findings indicate that the degree of photoinhibition in NOB increases with decreasing wavelength.
ASGARD: A LARGE SURVEY FOR SLOW GALACTIC RADIO TRANSIENTS. I. OVERVIEW AND FIRST RESULTS

Searches for slow radio transients and variables have generally focused on extragalactic populations, and the basic parameters of Galactic populations remain poorly characterized. We present a large 3 GHz survey performed with the Allen Telescope Array (ATA) that aims to improve this situation: ASGARD, the ATA Survey of Galactic Radio Dynamism. ASGARD observations spanned two years with weekly visits to 23 deg2 in two fields in the Galactic plane, totaling 900 hr of integration time on science fields and making it significantly larger than previous efforts. The typical blind unresolved source detection limit was 10 mJy. We describe the observations and data analysis techniques in detail, demonstrating our ability to create accurate wide-field images while effectively modeling and subtracting large-scale radio emission, allowing standard transient-and-variability analysis techniques to be used. We present early results from the analysis of two pointings: one centered on the microquasar Cygnus X-3 and one overlapping the Kepler field of view (ℓ = 76°, b = +13.°5). Our results include images, catalog statistics, completeness functions, variability measurements, and a transient search. Out of 134 sources detected in these pointings, the only compellingly variable one is Cygnus X-3, and no transients are detected. We estimate number counts for potential Galactic radio transients and compare our current limits to previous work and our projection for the fully analyzed ASGARD data set.
The gauging of two-dimensional bosonic sigma models on world-sheets with defects

We extend our analysis of the gauging of rigid symmetries in bosonic two-dimensional sigma models with Wess–Zumino terms in the action to the case of world-sheets with defects. A structure that permits a non-anomalous coupling of such sigma models to world-sheet gauge fields of arbitrary topology is analyzed, together with obstructions to its existence, and the classification of its inequivalent choices.
First Results from Pb+Pb Collisions at the LHC

At the end of 2010, the Large Hadron Collider (LHC) at CERN started operation with heavy-ion beams, colliding lead nuclei at a center-of-mass energy of 2.76 TeV per nucleon. These collisions ushered in a new era in ultrarelativistic heavy-ion physics at energies exceeding that of previous accelerators by more than an order of magnitude. This review summarizes the results from the first year of heavy-ion physics at the LHC obtained by the three experiments participating in the heavy-ion program: ALICE, ATLAS, and CMS.
Emission sparks around M 81 and in some dwarf spheroidal galaxies

We use Hα images of three clumps of young stars situated between M 81 and NGC 3077 to estimate their star formation rate. Radial velocities of the clumps measured by us, as well as the velocity of the H II region in the dwarf spheroidal (dSph) galaxy KDG 61, are compatible with their location at the outskirts of a large rotating gaseous disc around M 81. In contrast to KDG 61, the radial velocity of the emission knot in the dSph galaxy DDO 44, +213 ± 25 km s −1 , tells us that this Hα spark belongs to the dSph galaxy itself. F475W and F814W images of DDO 44 extracted from the Hubble Space Telescope archive reveal eight bluish (B − I < 0.8) stars apparently associated with the Hα knot.
Assessment Of Platelet Count And Its Correlation With Severity Of Pre-Eclampsia

Background: Pregnancy induced hypertension (PIH) is the most common medical disorder of pregnancy. The present study wasconducted to assess platelet count and its correlation with severity of pre-eclampsia.Materials & Methods: 108 suspected cases of pregnancy induced hypertension (cases) and group II had controls were assessed forplatelet count.Results: Age group 20-25 years had 14 cases of mild PIH, 24 of moderate and 6 of eclampsia. 26-30 years had 16 cases of mild, 22 ofmoderate and 4 cases of eclampsia and 31-35 years had 6 of mild, 14 of moderate and 2 of eclampsia. Group II had 56, 42 and 10respectively.Conclusion: Estimation of platelet count being simple economical and rapid investigation can be used for early detection of severity ofpreeclampsia. There were more cases of preeclampsia with low platelets.
THE CONTINUING OUTBURST OF V1647 ORIONIS: WINTER/SPRING 2011 OBSERVATIONS

We present optical and near-IR observations of the young eruptive variable star V1647 Orionis which illuminates McNeil's Nebula. In late 2003, V1647 Ori was observed to brighten by around 5 mag to r′ = 17.7. In early 2006 the star faded back to its quiescent brightness of r′ ∼ 23, however in mid-2008 it brightened yet again by ∼5 mag. Our new observations, taken in early 2011, show V1647 Ori to be in an elevated photometric state with an optical brightness similar to the value found at the start of the 2003 and 2008 outbursts. Optical images taken between 2008 and 2011 suggest that the star has remained in outburst from mid-2008 to the present. Hα and the far-red Ca ii triplet lines remain in emission with Hα possessing a significant P Cygni profile. A self-consistent study of the accretion luminosity and rate using data taken in 2004, 2007, 2008, and 2011 indicates that when bright, V1647 Ori has values of 16 ± 2 L☉ and (4 ± 2) × 10−6 M☉ yr−1, respectively. We support the premise that the accretion luminosity and rate both declined by a factor of 2–3 during the 5 mag fading in 2007. However, a significant part of the fading was due to either variable extinction or dust reformation. We discuss these new observations in relation to previous published data and the classification schemes for young eruptive variables.
Stable matchings in high dimensions via the Poisson-weighted infinite tree

We consider the stable matching of two independent Poisson processes in $\mathbb{R}^d$ under an asymmetric color restriction. Blue points can only match to red points, while red points can match to points of either color. It is unknown whether there exists a choice of intensities of the red and blue processes under which all points are matched. We prove that for any fixed intensities, there are unmatched blue points in sufficiently high dimension. Indeed, if the ratio of red to blue intensities is $\rho$ then the intensity of unmatched blue points converges to $e^{-\rho}/(1+\rho)$ as $d\to\infty$. We also establish analogous results for certain multi-color variants. Our proof uses stable matching on the Poisson-weighted infinite tree (PWIT), which can be analyzed via differential equations. The PWIT has been used in many settings as a scaling limit for models involving complete graphs with independent edge weights, but we believe that this is the first rigorous application to high-dimensional Euclidean space. Finally, we analyze the asymmetric matching problem under a hierarchical metric, and show that there are unmatched points for all intensities.
Cosmological constraints on neutrino self-interactions with a light mediator

If active neutrinos undergo non-standard (`secret') interactions (NS$\nu$I) the cosmological evolution of the neutrino fluid might be altered, leaving an imprint in cosmological observables. We use the latest publicly available CMB data from Planck to constrain NS$\nu$I inducing $\nu-\nu$ scattering, under the assumption that the mediator $\phi$ of the secret interaction is very light. We find that the effective coupling constant of the interaction, $g_\mathrm{eff}^4 \equiv \langle \sigma v\rangle T_\nu^2$, is constrained at $ 3800$, or $z>2300$ if small-scale polarization is included. These bounds are only marginally improved when data from geometrical expansion probes are included in the analysis to complement Planck. We also find that the tensions between CMB and low-redshift measurements of the expansion rate $H_0$ and the amplitude of matter fluctuations $\sigma_8$ are not significantly reduced. Our results are independent on the underlying particle physics model as long as $\phi$ is very light. Considering a model with Majorana neutrinos and a pseudoscalar mediator we find that the coupling constant $g$ of the secret interaction is constrained at $\lesssim 7\times 10^{-7}$. By further assuming that the pseudoscalar interaction comes from a dynamical realization of the see-saw mechanism, as in Majoron models, we can bound the scale of lepton number breaking $v_\sigma$ as $\gtrsim (1.4\times 10^{6})m_\nu$.