Mathematical Analysis of the Problems faced by the People With Disabilities (PWDs)

W. B. Vasantha Kandasamy; Florentin Smarandache; A. Praveen Prakash

Home/Archive/arXiv

arXiv · 1206.0686

Mathematical Analysis of the Problems faced by the People With Disabilities (PWDs)

W. B. Vasantha Kandasamy·Florentin Smarandache·A. Praveen Prakash

View original source ↗Read source document ↗Export metadata ↓

Abstract

This book has eight chapters. Chapter one just gives references to the materials used in this book. Analysis of the collected date is carried out in chapter two. Chapter three introduces a New Fuzzy Cognitive Relational Maps (FCRMs)bimodel to study the socio-economic problems of PWDs. Economic problems faced by PWDs is analysed in chapter four using Special Fuzzy Cognitive Maps (SFCMs) model introduced by the authors. Chapter five carries out the study of interrelated problems faced by the PWDs and the caretakers. In chapter six we use the new FCRM bimodel to analyse the problems faced by the rural PWDs. This data was collected from charity homes run by NGOs and others in and near Chennai is carried out in chapter seven. Conclusions based on this study are given the end of this chapter. The final chapter gives the suggestions and conclusions from our study in chapter two to six and also from the interviews and discussions with them.

Explore related subjects

math.GM

Keep this discovery

BibTeX RIS

W. B. Vasantha Kandasamy, Florentin Smarandache, A. Praveen Prakash. 2012-06-04. Mathematical Analysis of the Problems faced by the People With Disabilities (PWDs). https://arxiv.org/abs/1206.0686

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Average Chord Lengths in a Triangle

Let $P$ be a point inside a triangle $T$. We consider the average length of the chords of $T$ through $P$, where the direction of the chord is chosen uniformly. An elementary formula is obtained in terms of the distances from $P$ to the sides and vertices of the triangle. Several classical triangle centers give especially simple specializations. For example, if $I$ is the incenter, then \[ M_T(I)=\frac{2r}{\pi} \log\left(\cot\frac A4\cot\frac B4\cot\frac C4\right). \] Our main result is the sharp inequality \[ M_T(P)\le \frac{p}{\pi\sqrt3}\log(2+\sqrt3), \] valid simultaneously for every triangle of perimeter $p$ and every interior point $P$. Thus, among all such pairs $(T,P)$, the largest possible average chord length occurs only when $T$ is equilateral and $P$ is its center. The proof is an elementary symmetrization argument. We close with brief remarks relating the problem to the radial center of a convex body, the electrostatic potential center of a triangle, and dual quermassintegrals.

math.GM↗

arXiv2026

The decrease in sectional curvature of the Fisher--Rao manifold of beta distributions

In the paper, the author develops a general convexity lemma and applies it to demonstrate the monotonic decrease of a function involving polygamma functions, arising from the sectional curvature of the Fisher--Rao manifold of beta distributions.

math.GM↗

arXiv2026

A Proof of Liu's Conjecture on the Fundamental Triangle Inequality

Let $a,b,c$ be the side lengths of a triangle, and let $R$ and $r$ denote its circumradius and inradius, respectively. We prove a conjecture of Liu stating that \[\sum_{\mathrm{cyc}} \left(\frac{a(b+c-a)}{bc}\right)^k \geq 2+\left(\frac{2r}{R}\right)^k,~~k>1, \] with the reverse inequality for $0<k<1$. The proof reduces the problem to three positive variables with fixed sum and product. We also determine the equality cases.

math.GM↗