Discrete Modified Projection Methods for Urysohn Integral Equations with Green's Function Type Kernels

In the present paper we consider discrete versions of the modified projection methods for solving a Urysohn integral equation with a kernel of the type of Green's function. For $r \geq 0,$ a space of piecewise polynomials of degree $\leq r$ with respect to an uniform partition is chosen to be the approximating space. We define a discrete orthogonal projection onto this space and replace the Urysohn integral operator by a Nystr\"{o}m approximation. The order of convergence which we obtain for the discrete version indicates the choice of numerical quadrature which preserves the orders of convergence in the continuous modified projection methods. Numerical results are given for a specific example.Comment: This is the the same paper with the arXiv identifier 1904.07895, but the shortened version. A bit change in the title als

Cybercrime and Cyber Law Pertaining to India: An analysis

No stones are untouched by technology which gives rise to various refined crimes performed by so called intellectual criminals. The crimes performed using technology is termed as cybercrime. This paper tries to give insight on the broader areas effected by cybercrime in India. It also tries to associate various laws under various sections of IT Act 2000 which can be levied upon the culprit. It focuses on three categories of crime, viz. crime against individual, crime against property and crime against government. The paper tries to give insight on the loopholes as well as statistics of various cybercrimes in India

A VALIDATED ANALYTICAL HPLC METHOD FOR THE QUANTIFICATION OF LINCOMYCIN HYDROCHLORIDE IN BULK AND SOLID DOSAGE FORM

Objective: Develop a simple isocratic reverse phase high performance liquid chromatographic method (RP-HPLC) and validate for the determination of lincomycin hydrochloride (LMH) in bulk and pharmaceutical preparations.Methods: RP-HPLC quantification was carried out by using fine pack SIL RPC18 column. The mobile phase (methanol: water) was pumped at a flow rate of 1 ml/min in the ratio of 90:10 v/v and the eluents were monitored at 254 nm.Results: The retention time of the drug was 3.73 min and produced at a linear response in the concentration range of 5-25µg/ml. The percentage RSD was found to be below 2%. The LOD and LOQ were found to be 0.854µg/ml and 0.258µg/ml respectively.Conclusion: Validation of the method was performed for precision, accuracy, linearity, ruggedness, specificity and sensitivity to conform to ICH guidelines for valuation for analytical methods

Dental Prosthetic Status and Prosthetic Need of the Institutionalized Elderly Living in Geriatric Homes in Mangalore: A Pilot Study

Introduction. To promote oral health among the elderly, we need to know their prosthetic status and prosthetic need. Hence, a survey of prosthetic status and need of elderly inmates of old age homes in Mangalore was done. Materials and Methods. A cross-sectional study was undertaken, and 133 subjects aged 60 years and above were examined (54.9% males and 45.1% females). Results. Eighty-eight percent of those examined were fully edentulous, and only 12% had complete dentures; none of the study subjects had partial dentures. Prosthetic status was significantly associated with gender (P = .024), while prosthetic need and gender were not significantly associated (P = .395). Conclusions. A high unmet need for prosthetic care existed among the institutionalized elderly surveyed

Dentofacial abnormalities among adolescents: a study on the prevalence and severity

Background: The objectives of this investigation were to assess prevalence and severity of dentofacial abnormalities and orthodontic treatment need among adolescents in Mangalore taluk. Material and Methods: A cross-sectional study was conducted among 1340 children from randomly selected high schools. A proforma was used to record demographic data and components of the Dental Aesthetic Index [DAI] for each subject. The Chi squared test was used for analysis with p-value of < 0.05 considered statistically significant. Results: Dentofacial abnormalities (DAI scores ≥ 26) were recorded in 38.5% subjects. Mean DAI score of the study population was 24.59 ± 6.09. Female subjects presented with higher prevalence and higher mean DAI scores than their male counterparts ( p > 0.05). Assessment of severity of malocclusion between age groups revealed no differences ( p > 0.05). Orthodontic treatment was highly desirable in 11% and mandatory in 5.2% subjects. Conclusions: A high prevalence of dentofacial abnormalities was found among adolescents in Mangalore taluk pointing towards a need for designing effective programs for early diagnosis and treatment of this condition, especially among adolescent

Incidence and Molecular Typing of Vibrio parahaemolyticus from Tiger Shrimp Culture Environments along the Southwest Coast of India

Vibrio parahaemolyticus is one of the most prevalent food-borne pathogens along the southwest coast of India, where marine foods are frequently consumed. Shrimp (Penaeus monodon) and environmental samples were collected from aquaculture farms located in and around Cochin. Confirmation of the biochemically identified strains with species-specific toxR gene and detection of virulent genes viz., tdh and trh was performed by polymerase chain reaction (PCR). The phenotypic markers for the presence of tdh and trh genes were assayed by Kanagawa phenomenon and urease activity, respectively. Protease activity was examined to identify other potential virulence factors. After phenotypic characterization of bacterial strains fingerprinting of genomic DNA was carried by various typing methods, viz., random amplified polymorphic DNA (RAPD), enterobacterial repetitive intergenic consensus sequence (ERIC), repetitive extragenic palindromic sequence (REP), and ribosomal gene spacer sequence (RS) PCR methods to assess the genetic diversity within the isolates. Eighteen percent of the samples were found positive for the incidence of V. parahaemolyticus by biochemical protocols and toxR (368 bp) targeted PCR. PCR analyses revealed 1% of the samples positive for tdh (269 bp) and trh (500 bp) gene. RAPD analysis revealed clustering of toxigenic strains into a single group. Cluster analysis revealed the conglomeration of isolates into two, five, and seven major groups using RS, ERIC, and REP PCR methods, respectively. RS PCR generated fewer amplified bands compared to REP and ERIC PCR methods, thus giving scope for higher discrimination. Moreover, RS PCR patterns were more discernible visually from other patterns, suggesting RS PCR as a considerably practical method for routine use