The limit-point/limit-circle classification for ordinary differential equations with distributional coefficients

We investigate the limit-point/limit-circle classification for the differential equation $Ju'+qu=\lambda wu$ where $J=\big(\begin{smallmatrix}0&-1\\ 1&0\end{smallmatrix}\big)$ and $q$ and $w$ are matrices whose entries are distributions of order zero with $q$ Hermitian and $w$ non-negative. We identify the situations when the classical alternative of Weyl works and when it fails

Polyphenols as Therapeutic Approach to High Altitude Mediated Skeletal Muscle Impairments

Skeletal muscle impairments at high altitudes resulted into various consequences in un-acclimatised individuals thus hampering their physical activities by imposing severe oxidative stress, skeletal muscle atrophy, mitochondrial dysfunction/autophagy, and regeneration disability. Researchers have described many natural and synthetic supplements to alleviate oxidative stress-induced muscle impairments. In this review article we are focusing on the skeletal muscle impairments and their alleviation by using natural polyphenols. Polyphenols are plant-based compounds showing anti-oxidative and anti-inflammatory properties like Curcumin, Catechins, Resveratrol, Quercetin and Salidrosides appear to mainly act by reversing oxidative stress and mitochondrial dysfunction eventually ameliorate skeletal muscle impairments under various imposed pathological conditions. This review also drew attention on the molecular targets of polyphenols and their possible therapeutic effects in preventing HA induced muscle impairments. Unavailability of suitable intervention, there is a need to find a probable solution having highly protective anti-atrophic, anti-oxidative, anti-inflammatory properties with the tint of performance enhancer

TOPICAL GEL INCORPORATED WITH NON-IONIC SURFACTANT BASED SOLID LIPID MICROSPHERES OF KETOPROFEN: PHYSICOCHEMICAL ANALYSIS AND ANTI-INFLAMMATORY EVALUATION

Objective: The present study was aimed at the fabrication and characterization of solid lipid based microspheres (SLM) of Ketoprofen (KPF) and comparing its anti-inflammatory potential with the marketed formulation.Methods: Stearic acid as a lipid and tween 20, 80, span 20 and 80 as surfactants (at various concentrations) were utilized for formulation of topical delivery. Microparticles were successfully fabricated (0.71-3.12 µm) by hot melt microencapsulation technique and were characterised by photomicroscope, FTIR, scanning electron surface morphology, particle size analysis, zeta potential, fluorescent microscopy and In-vitro drug release studies followed by In-vitro and In-vivo anti-inflammatory studies.Results: Results revealed that tween 80 resulted in exceptional KPF entrapment efficiency of 82.6% with spherical rough surface morphology. In-vitro drug release showed the initial burst release of 47% upto 2h followed by sustained release of 70% for 12h. By employing drug release kinetic modelling, formulations were found to obey Higuchi model and Korsmeyer-Peppas model. Further the In-vitro permeation study of optimized gel formulation represented better drug uptake through rat skin in comparison to marketed product. Finally, SLMs were found to possess superior In-vitro and In-vivo anti-inflammatory potentials when compared to marketed formulation.Conclusion: SLMs proved to be promising drug carrier system for KPF topical delivery as they possessed the desirable particle size with high ability for drug entrapment with sustained anti-inflammatory effect.Â

Caries sicca: tuberculosis of glenohumeral joint

Tuberculosis is quite common in India. Shoulder tuberculosis although rare among the skeletal tuberculosis needs to be kept in mind for diagnosis and proper treatment of cases of Carries Sicca. Twenty year old female presented with non traumatic pain in right shoulder with severe restriction of shoulder Range of Movements (ROM), not responding to treatment. On detailed examination turned out to be a case of Caries Sicca. Thorough debridement along with sufficient immobilization and Anti Tubercular Treatment (ATT) gives excellent results. High suspicion is needed to diagnose the cases of Carries Sicca. Early diagnosis and proper treatment gives wonderful results. Only ATT with or without immobilization and debridement are sufficient enough in majority of cases

Optimization of state-of-the-art fuzzy-metaheuristic ANFIS-based machine learning models for flood susceptibility prediction mapping in the Middle Ganga Plain, India

CRediT authorship contribution statement: Dr. Aman Arora and Dr. Alireza Arabameri have conceptualized the study, prepared the dataset, and optimized the models. Dr. Manish Pandey has helped in writing the manuscript. Prof. Masood A. Siddiqui, Prof. U.K. Shukla, Prof. Dieu Tien Bui, Dr. Varun Narayan Mishra, and Dr. Anshuman Bhardwaj have helped in improving the manuscript at different stages of this work.Peer reviewedPostprin

Optimasi Portofolio Resiko Menggunakan Model Markowitz MVO Dikaitkan dengan Keterbatasan Manusia dalam Memprediksi Masa Depan dalam Perspektif Al-Qur`an

Risk portfolio on modern finance has become increasingly technical, requiring the use of sophisticated mathematical tools in both research and practice. Since companies cannot insure themselves completely against risk, as human incompetence in predicting the future precisely that written in Al-Quran surah Luqman verse 34, they have to manage it to yield an optimal portfolio. The objective here is to minimize the variance among all portfolios, or alternatively, to maximize expected return among all portfolios that has at least a certain expected return. Furthermore, this study focuses on optimizing risk portfolio so called Markowitz MVO (Mean-Variance Optimization). Some theoretical frameworks for analysis are arithmetic mean, geometric mean, variance, covariance, linear programming, and quadratic programming. Moreover, finding a minimum variance portfolio produces a convex quadratic programming, that is minimizing the objective function ðð¥with constraintsð ð 𥠥 ðandð´ð¥ = ð. The outcome of this research is the solution of optimal risk portofolio in some investments that could be finished smoothly using MATLAB R2007b software together with its graphic analysis

Differential cross section measurements for the production of a W boson in association with jets in proton–proton collisions at √s = 7 TeV

Measurements are reported of differential cross sections for the production of a W boson, which decays into a muon and a neutrino, in association with jets, as a function of several variables, including the transverse momenta (pT) and pseudorapidities of the four leading jets, the scalar sum of jet transverse momenta (HT), and the difference in azimuthal angle between the directions of each jet and the muon. The data sample of pp collisions at a centre-of-mass energy of 7 TeV was collected with the CMS detector at the LHC and corresponds to an integrated luminosity of 5.0 fb[superscript −1]. The measured cross sections are compared to predictions from Monte Carlo generators, MadGraph + pythia and sherpa, and to next-to-leading-order calculations from BlackHat + sherpa. The differential cross sections are found to be in agreement with the predictions, apart from the pT distributions of the leading jets at high pT values, the distributions of the HT at high-HT and low jet multiplicity, and the distribution of the difference in azimuthal angle between the leading jet and the muon at low values.United States. Dept. of EnergyNational Science Foundation (U.S.)Alfred P. Sloan Foundatio

Juxtaposing BTE and ATE – on the role of the European insurance industry in funding civil litigation

One of the ways in which legal services are financed, and indeed shaped, is through private insurance arrangement. Two contrasting types of legal expenses insurance contracts (LEI) seem to dominate in Europe: before the event (BTE) and after the event (ATE) legal expenses insurance. Notwithstanding institutional differences between different legal systems, BTE and ATE insurance arrangements may be instrumental if government policy is geared towards strengthening a market-oriented system of financing access to justice for individuals and business. At the same time, emphasizing the role of a private industry as a keeper of the gates to justice raises issues of accountability and transparency, not readily reconcilable with demands of competition. Moreover, multiple actors (clients, lawyers, courts, insurers) are involved, causing behavioural dynamics which are not easily predicted or influenced. Against this background, this paper looks into BTE and ATE arrangements by analysing the particularities of BTE and ATE arrangements currently available in some European jurisdictions and by painting a picture of their respective markets and legal contexts. This allows for some reflection on the performance of BTE and ATE providers as both financiers and keepers. Two issues emerge from the analysis that are worthy of some further reflection. Firstly, there is the problematic long-term sustainability of some ATE products. Secondly, the challenges faced by policymakers that would like to nudge consumers into voluntarily taking out BTE LEI

Penilaian Kinerja Keuangan Koperasi di Kabupaten Pelalawan

This paper describe development and financial performance of cooperative in District Pelalawan among 2007 - 2008. Studies on primary and secondary cooperative in 12 sub-districts. Method in this stady use performance measuring of productivity, efficiency, growth, liquidity, and solvability of cooperative. Productivity of cooperative in Pelalawan was highly but efficiency still low. Profit and income were highly, even liquidity of cooperative very high, and solvability was good

Search for stop and higgsino production using diphoton Higgs boson decays

Results are presented of a search for a "natural" supersymmetry scenario with gauge mediated symmetry breaking. It is assumed that only the supersymmetric partners of the top-quark (stop) and the Higgs boson (higgsino) are accessible. Events are examined in which there are two photons forming a Higgs boson candidate, and at least two b-quark jets. In 19.7 inverse femtobarns of proton-proton collision data at sqrt(s) = 8 TeV, recorded in the CMS experiment, no evidence of a signal is found and lower limits at the 95% confidence level are set, excluding the stop mass below 360 to 410 GeV, depending on the higgsino mass