Oral Health and Social Inequalities are intrinsically interrelated. Aim: assess the association of dental caries in relation with socio-economic status, age and sex in population of Lucknow. Material & MethodAn epidemiological study was conducted in a dental teaching hospital of Lucknow. Oral examination was performed to record DMFT and DMFS scores. Data regarding age, sex, and socioeconomic st...

Optimality criteria form the foundations of mathematical programming both theoretically and computationally. In general, these criteria can be classified as either necessary or sufficient. Of course, one would like to have the same criterion be both necessary and sufficient. However, this occurs only under somewhat ideal conditions which are rarely satisfied in practice. In the absence of conve...

This paper aims at utilising the ideology of controlling a constrained dynamical system to address longitudinal motion control problem during lane-changing process subject time-varying uncertainties. To this end, robust controller is designed based on Udwadia–Kalaba (UK) approach and Lyapunov stability theory. Most studies considered only equality constraint, namely desired inter-vehicle distan...

In this paper, an efficient method for solving optimal control problems of the linear differential systems with inequality constraint is proposed. By using new adjustment of hat basis functions and their operational matrices of integration, optimal control problem is reduced to an optimization problem. Also, the error analysis of the proposed method is nvestigated and it is proved that the orde...

In linear models and multivariate normal situations, prior information in linear inequality form may be encountered, or linear inequality hypotheses may be subjected to statistical tests. R package ic.infer has been developed to support inequality-constrained estimation and testing for such situations. This article gives an overview of the principles underlying inequality-constrained inference ...

The Brunn-Minkowski inequality theory plays an important role in a number of mathematical disciplines such as measure theory, crystallography, optimal control theory, functional analysis, and geometric convexity. It has many useful applications in combinatorics, stochastic geometry, and mathematical economics. In recent years, several authors including Ball [1, 2, 3], Bourgain and Lindenstrauss...

Background: One of the important aspects of equity in health is equality in the distribution of resources in this sector. The present study aimed to assess the distribution of hospital beds in Shiraz in 2014.   Methods: In this retrospective cross-sectional study, the population density index and fair distribution of beds were analyzed by Lorenz curve and Gini coefficient, respectively....

A necessary and suucient condition for equality in the matrix form of the Fisher-Information inequality is derived. In this technical report we consider the matrix form of the Fisher Information Inequality (FII), which was introduced in 5]. In particular, we provide a necessary and suucient condition for equality in the matrix-FII. We rst introduce a special form of Fisher Information (FI), cal...

The short-term hydrothermal scheduling (STHTS) problem has paramount importance in an interconnected power system. Owing to operational research problem, it been a basic concern of companies minimize fuel costs. To solve STHTS, cascaded topology four hydel generators with one equivalent thermal generator is considered. complex and non-linear equality inequality constraints, including water disc...

Abstract In this paper we will present a review of recent advances in the application augmented Lagrange multiplier method as general approach for generating multiplier-free stabilised methods. The Lagrangian consists standard by penalty term, penalising constraint equations, and is well known basis iterative algorithms constrained optimisation problems. Its use stabilisation methods computatio...