Flagged Skew Schur Polynomials Twisted By Roots Of Unity

We generalize a theorem of Littlewood concerning the factorization of Schur polynomials when their variables are twisted by roots of unity. We show that a certain family of flagged skew Schur polynomials admit a similar factorization. These include an interesting family of Demazure characters as a special case

Flexural Study of Lightweight Concrete Beams casted of Oil Palm Shell (OPS) Aggregates

This study's main goal is to investigate the potential applications of OPS aggregate in the manufacturing of concrete. This helps to preserve natural resources in addition to addressing the problem of how to get rid of OPS trash. For this study, twelve under-reinforced concrete beams were made and tested. The reinforcing ratios of these beams varied, from 0.52% to 3.90%.  The paper presents data related to several important aspects of the beams' behavior, including Information about how the beams deflected under load, Details about when and how cracks formed in the beams, Measures of how much the beams could deform before failure, Information on how the beams rotated at their ends during testing. The flexural behaviour of reinforced OPS concrete beams and other regular reinforced concrete beams was compared in the study. The experimental results and the current industry Codes of practice were found to be reasonably well aligned. Notably, beams with low reinforcement ratios satisfied every serviceability standard listed in BS 8110, proving that they were appropriate for real-world uses

GIS-based air pollution distribution mapping of emissions from public buses for Coimbatore Corporation, Tamil Nadu, India

947-951Vehicle transport on roads is a dominant source of air pollution, and hence spatial assessment of its risks is necessary for the decision makers to evaluate its impact on the public. Indian road transport, especially buses, contribute significantly to air pollution, that too in highly accessible areas like bus stands and bus stops. This paper proposes a three-step integrated method to map relative pollution levels of bus stops and bus routes of Coimbatore Corporation using spatial analysis tools of ArcGIS and suggestion of routes for eco-friendly buses and vehicles

Assessment of Toluidine Blue in Oral Leukoplakia

Squamous cell carcinoma is the most common cancer of the oral cavity and the prognosis of the tumor depends on the early detection of the carcinoma. Toluidine blue is a metachromatic die of the thiazine group that has been effectively used as a nuclear stain because of its binding capacity with DNA. The objective of the study was to find the specificity and sensitivity of the toluidine blue supra vital staining technique in oral leukoplakia. The study comprised of 17 clinically suspicious cases of oral leukoplakia. The effect of toluidine blue staining and histopathological features were also studied. The toluidine blue staining is a sensitive vital staining method for leukoplakia. It is the useful chair side diagnostic test with the sensitivity of 92% and specificity of 100%.   KEYWORDS:  Oral Leukoplakia, toluidine blu

Cytomorphometric Analysis of Normal Exfoliative Cells from Buccal Mucosa in Different Age Groups

Oral exfoliative cytology is a simple and relatively pain free procedure which can be carried out repeatedly with minimum discomfort to the patients. Oral exfoliative cytology has sentivity of 89% and specificity of 89.5%, its accuracy could be enhanced by cytomorphometric analysis of the cells. On reviewing the literature we found numerous articles on cytomorphometric analysis of premalignant and malignant lesions and tobacco chewers-related lesions, but the articles available for the analysis of the normal epithelial cells are relatively few in number. The present study was carried out to assess the cytoplasmic diameter and nuclear diameters of normal buccal mucous membrane under various age groups.Materials and methods:The patients were divided into 3 groups, group-I consists of patients less than 25 years of age, Group – II consists of patients of 25 -50 years of age and Group –III of patients more than 50 years of age. Scrapings were made from the buccal mucosa and immediately fixed with 95% ethanol for a minimum of 15 minutes. In all the cases the Nuclear diameter (ND) and the Cell diameter (CD) were measured in both the horizontal and vertical axes in micrometer. The Nuclear Cytoplasmic(NC) Ratio was also calculated for each case.Statistical analysis:For each age group the mean ND, mean CD, and mean NC ratio were determined. One sample‘t’ test was carried out to find the significance of each sample.Results:The cytomorphometric analysis of the exfoliated normal buccal mucosal cells revealed that the ND varied from 7.4μ to 8.4μ, the cytoplasmic diameter from 46.77μ to 49.34μ and the nuclear cytoplasmic ratio from 0.17μ to 0.20μ. The increase in ND and decrease in CD are due to aging process and decreased cell metabolic activity respectively

ON THE OSCILLATION OF A THIRD ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH NEUTRAL TYPE

In this article, we investigate that oscillation behavior of the solutions of the third-order nonlinear differential equation with neural type of the form$$\Big(a_{1}(t)\big(a_{2}(t)Z^{\prime}(t)\big)^{\prime}\Big)^{\prime}+ q(t) f\big(x(\sigma(t))\big) = 0, \quad t\geq t_0 > 0,$$where $Z(t) := x(t)+p(t)x^{\alpha}(\tau(t))$. Some new oscillation results are presented that extend those results given in the literature

Unique Factorization For Tensor Products of Parabolic Verma Modules

Let $\mathfrak{g}$ be a symmetrizable Kac-Moody Lie algebra with Cartan subalgebra $\mathfrak{h}$. We prove a unique factorization property for tensor products of parabolic Verma modules. More generally, we prove unique factorization for products of characters of parabolic Verma modules when restricted to certain subalgebras of $\mathfrak{h}$. These include fixed point subalgebras of $\mathfrak{h}$ under subgroups of diagram automorphisms of $\mathfrak{g}$ and twisted graph automorphisms in the affine case.Comment: 20 page

A Study on Financial Planning and Forecasting FMCG Industry with specific reference to Bangalore

Financial management addresses both short-term and long-term issues. For all financial analysts, the significance of working capital in today's industrial functions cannot be overstated. What matters most is estimating the amount of cash, equity, and other liquid assets that the company can use to maintain day-to-day operations. When it comes to identifying areas of financial weakness and taking corrective action, financial analysis assists management in maximizing its financial strength. It is the beginning point for applying any complex forecasting or planning process. The primary focus of corporate finance is raising capital and allocating it wisely while considering the organization's overall goals. The management must exercise extreme prudence and wisdom in this regar

Genetic characterization of Vibrio cholerae strains by inter simple sequence repeat-PCR

The utility of inter simple sequence repeat-PCR (ISSR-PCR) assay in the characterization and elucidation of the phylogenetic relationship between the pathogenic and nonpathogenic isolates of Vibrio cholerae is demonstrated. A total of 45 V. cholerae strains including 15 O1 El Tor, nine O139 and 21 non-O1/non-O139 strains were analyzed using eight ISSR primers. These primers, which are essentially simple sequence repeats (SSR) with additional nonrepeat bases at the 5' or 3' end, amplify genomic regions interspersed between closely spaced SSRs. Neighbor-joining analysis showed that the strains belonging to the same serogroup clustered together with the exception of one O1 and two O139 strains. The absence of pathogenicity islands in these strains, as confirmed by PCR, suggested their non-O1/non-O139 origin. Thus the ISSR-PCR-based phylogeny was consistent with the classification of V. cholerae based on serological methods. A finer resolution of the clustering of the toxinogenic O1 El Tor and toxinogenic O139 subtypes was obtained by ISSR-PCR analysis as compared with the Enterobacterial Repetitive Intergenic Consensus sequences-based PCR analysis for the same set of strains. Thus, it is proposed that ISSR-PCR is an efficient tool in phylogenetic classification of prokaryotic genomes in general and diagnostic genotyping of microbial pathogens in particular