MAJORIZATION OF MATRICES

It is shown that under certain conditions the column majorization of matrices is reversed for the column majorization of their corresponding Moore-Penrose inverses and preserved for the column majorization of their powers. The condition for column majorization of block matrices is determined

Spectral fluctuation characterization of random matrix ensembles through wavelets

A recently developed wavelet based approach is employed to characterize the scaling behavior of spectral fluctuations of random matrix ensembles, as well as complex atomic systems. Our study clearly reveals anti-persistent behavior and supports the Fourier power spectral analysis. It also finds evidence for multi-fractal nature in the atomic spectra. The multi-resolution and localization nature of the discrete wavelets ideally characterizes the fluctuations in these time series, some of which are not stationary.Comment: 7 pages, 2 eps figure

Bis(μ-phenyl­tellurido-κ2 Te:Te)bis­[tetra­carbonyl­rhenium(I)]

The title compound, [Re2(C6H5Te)2(CO)8], crystallizes with two mol­ecules in the asymmetric unit, in which two Re atoms are coordinated in a slightly distorted octa­hedral environment and are bridged by two Te atoms, which show a distorted trigonal-pyramidal geometry. The torsion angles for the Te—Re—Te—Re sequence of atoms are 19.29 (18) and 16.54 (16)° in the two mol­ecules. Thus, the Re—Te four-membered rings in the two mol­ecules deviate significantly from planarity. Two intra­molecular C—H⋯O inter­actions occur in one of the mol­ecules. Te—Te [4.0551 (10) Å] inter­actions between the two mol­ecules and weak inter­molecular C—H⋯O inter­actions stabilize the crystal packing

An exploration of fractal-based prognostic model and comparative analysis for second wave of COVID-19 diffusion

The coronavirus disease 2019 (COVID-19) pandemic has fatalized 216 countries across the world and has claimed the lives of millions of people globally. Researches are being carried out worldwide by scientists to understand the nature of this catastrophic virus and find a potential vaccine for it. The most possible efforts have been taken to present this paper as a form of contribution to the understanding of this lethal virus in the first and second wave. This paper presents a unique technique for the methodical comparison of disastrous virus dissemination in two waves amid five most infested countries and the death rate of the virus in order to attain a clear view on the behaviour of the spread of the disease. For this study, the data set of the number of deaths per day and the number of infected cases per day of the most affected countries, the USA, Brazil, Russia, India, and the UK, have been considered in the first and second waves. The correlation fractal dimension has been estimated for the prescribed data sets of COVID-19, and the rate of death has been compared based on the correlation fractal dimension estimate curve. The statistical tool, analysis of variance, has also been used to support the performance of the proposed method. Further, the prediction of the daily death rate has been demonstrated through the autoregressive moving average model. In addition, this study also emphasis a feasible reconstruction of the death rate based on the fractal interpolation function. Subsequently, the normal probability plot is portrayed for the original data and the predicted data, derived through the fractal interpolation function to estimate the accuracy of the prediction. Finally, this paper neatly summarized with the comparison and prediction of epidemic curve of the first and second waves of COVID-19 pandemic to visualize the transmission rate in the both times

Mengurus Perubahan Semasa Perintah Kawalan Pergerakan Bersyarat (PKPB) di Sebuah Sekolah Menengah: Suatu Pemerhatian Awal

Kajian ini menggunakan reka bentuk tinjauan menerusi kaedah pemerhatian di sebuah sekolah menengah dalam daerah Batu Gajah di Negeri Perak. Populasi kajian terdiri daripada 102 orang murid Tingkatan Lima di sekolah tersebut. Pemerhatian dibuat ke atas peserta kajian berdasarkan tempoh masa yang tertentu yang telah ditetapkan. Oleh itu, dari kaedah pemerhatian, keputusan yang diperoleh adalah lebih tepat. Menerusi pemerhatian, Model Kompetensi Kepimpinan Perubahan (MKKP) telah digunakan oleh pengetua semasa berhadapan dengan perubahan dalam tadbir urus sekolah. Perintah Kawalan Pergerakan Bersyarat (PKPB) telah mengubah pembudayaan dan iklim sekolah menerusi kepimpinan pengetua. Kajian dijalankan setelah pembukaan semula sekolah bagi murid yang mengambil peperiksaan SPM dan STPM. Kepimpinan pengetua dapat dilihat menerusi pencapaian matlamat perubahan yang telah dirancang dari awal proses perubahan. Pengetua juga berjaya melakukan perubahan dengan cara yang kreatif dan proaktif terhadap sekolah tersebut. Hal ini dapat dilihat menerusi kepimpinan pengetua dalam menguruskan perubahan sekolah adalah amat penting kerana peranan pengetua sebagai individu yang bertanggungjawab secara langsung ke atas perubahan di sekolah

Tribal farmers' perceived constraints in the adoption of good dairy farming practices in the northern hills zone of Chhattisgarh, India

This study was carried out during the year 2014-15 to explore the perceived constraints encountered by the tribal dairy farmers in the successful adoption of Good Dairy Farming Practices (GDFPs). Out of 27 districts in Chhattisgarh, three tribal populated districts were selected for this study from northern hills zone of the state and totally 300 respondents were selected for constraints analysis. The study revealed that 55.33 % of the tribal farmers realised that insufficient knowledge and awareness towards good dairy farming practices is the major constraints in the adoption process, majority (70.00 %) of the tribal farmers perceived that lack of progeny tested superior bulls for AI and natural service are the main constraint in the adoption of good breeding practices, about (75.70 %) of the tribal farmers expressed the higher cost of concentrates, mineral mixtures and vitamin supplements are the main constraints in the adoption of good feeding practices, majority (70.70 %) of the tribal farmers responded that less number of veterinary hospitals in their locality is the main constraints and its ranks first in the healthcare constraints list, little less than three-fourths (67.67 %) of the tribal farmers articulated that lack of advanced farm machineries (portable milking unit) for small dairy holders is the main constraints in the adoption of good management practices and about three-fourths (75.30 %) of the tribal farmers conveyed that the lack of insurance for longer period is the main constraints and tops in the socio-economic constraints. This constraints study will be highly useful to policy makers and the scientific community to assess the dairy production technologies for refinement and appropriate strategies can be formulated to promote tribal dairying from subsistence level to intensive in order to increase the income from dairy sector

Dezincification of Brass in Sulfide Polluted Sodium Chloride Medium: Evaluation of the Effectiveness of 2-Mercaptobenzothiazole

The present paper addresses the effectiveness of 2-mercaptobenzothiazole (MBT) in preventing the dezincification of brass in sulfide polluted 3.5% NaCl solution. The dezincification behaviour of brass in 3.5% NaCl solution containing 100-1000 ppm of sulfide ions and 1 x 10-6 to 1 x 10-3 M MBT was studied by potentiodynamic polarization, electrochemical impedance spectroscopy, current-time transient and accelerated leaching studies. The presence of sulfide ions in 3.5% NaCl solution has caused a significant increase in the extent of corrosion attack on brass. The inhibiting effect of MBT is markedly reduced in the presence of sulfide ions in the medium. The easy replacement of Cu-MBT complex by Cu2S film on the surface of brass is responsible for the inability of MBT to prevent corrosion attack in the presence of sulfide ions. The study concludes that the effectiveness of MBT in preventing the dezincification of brass is dependent on the concentration of the sulfide ions in the medium and the effectiveness is nullified at higher concentrations of sulfide ions

PathoScope 2.0: a complete computational framework for strain identification in environmental or clinical sequencing samples.

BACKGROUND: Recent innovations in sequencing technologies have provided researchers with the ability to rapidly characterize the microbial content of an environmental or clinical sample with unprecedented resolution. These approaches are producing a wealth of information that is providing novel insights into the microbial ecology of the environment and human health. However, these sequencing-based approaches produce large and complex datasets that require efficient and sensitive computational analysis workflows. Many recent tools for analyzing metagenomic-sequencing data have emerged, however, these approaches often suffer from issues of specificity, efficiency, and typically do not include a complete metagenomic analysis framework. RESULTS: We present PathoScope 2.0, a complete bioinformatics framework for rapidly and accurately quantifying the proportions of reads from individual microbial strains present in metagenomic sequencing data from environmental or clinical samples. The pipeline performs all necessary computational analysis steps; including reference genome library extraction and indexing, read quality control and alignment, strain identification, and summarization and annotation of results. We rigorously evaluated PathoScope 2.0 using simulated data and data from the 2011 outbreak of Shiga-toxigenic Escherichia coli O104:H4. CONCLUSIONS: The results show that PathoScope 2.0 is a complete, highly sensitive, and efficient approach for metagenomic analysis that outperforms alternative approaches in scope, speed, and accuracy. The PathoScope 2.0 pipeline software is freely available for download at: http://sourceforge.net/projects/pathoscope/

PathoScope 2.0: a complete computational framework for strain identification in environmental or clinical sequencing samples.

BACKGROUND: Recent innovations in sequencing technologies have provided researchers with the ability to rapidly characterize the microbial content of an environmental or clinical sample with unprecedented resolution. These approaches are producing a wealth of information that is providing novel insights into the microbial ecology of the environment and human health. However, these sequencing-based approaches produce large and complex datasets that require efficient and sensitive computational analysis workflows. Many recent tools for analyzing metagenomic-sequencing data have emerged, however, these approaches often suffer from issues of specificity, efficiency, and typically do not include a complete metagenomic analysis framework. RESULTS: We present PathoScope 2.0, a complete bioinformatics framework for rapidly and accurately quantifying the proportions of reads from individual microbial strains present in metagenomic sequencing data from environmental or clinical samples. The pipeline performs all necessary computational analysis steps; including reference genome library extraction and indexing, read quality control and alignment, strain identification, and summarization and annotation of results. We rigorously evaluated PathoScope 2.0 using simulated data and data from the 2011 outbreak of Shiga-toxigenic Escherichia coli O104:H4. CONCLUSIONS: The results show that PathoScope 2.0 is a complete, highly sensitive, and efficient approach for metagenomic analysis that outperforms alternative approaches in scope, speed, and accuracy. The PathoScope 2.0 pipeline software is freely available for download at: http://sourceforge.net/projects/pathoscope/

Statistical Properties of Fluctuations: A Method to Check Market Behavior

We analyze the Bombay stock exchange (BSE) price index over the period of last 12 years. Keeping in mind the large fluctuations in last few years, we carefully find out the transient, non-statistical and locally structured variations. For that purpose, we make use of Daubechies wavelet and characterize the fractal behavior of the returns using a recently developed wavelet based fluctuation analysis method. the returns show a fat-tail distribution as also weak non-statistical behavior. We have also carried out continuous wavelet as well as Fourier power spectral analysis to characterize the periodic nature and correlation properties of the time series.Comment: 9 pages, 6 figures, Econophys-IV, Kolkata, 200