Abstract:
Background: The Tuberculosis (TB) disease has immense impact on physical, psychological, economic and social well-being of an individual. It is desired that the patient with any kind of TB disease should lead a respectable and happier life during their course of TB treatment. Currently, the quality of life (QOL) is an important indicator to assess the well-being of a person and there is paucity of such information among TB patients. Hence, we conducted to assess and compare the QOL of Revised National TB Control Programme registered Drug sensitive TB patients, Drug resistant TB patients and general population of Gadag district in Karnataka, India. Methods: A cross-sectional study was conducted in Gadag district, Karnataka from March 2017 through March 2018 among drug sensitive, drug resistant TB patients and general population. A Non-probability purposive sampling was adopted to select the samples that were matched for age, gender and ward. The select patients were administered WHO QOL-BREF questionnaire by trained personnel. Data were analyzed using SPSS version 12 analysis software. Results: The scores obtained for the four domains of QOL were (a) physical health: 69.62 + 18.29 (b) Psychological: 66.96 + 18.62 (c) Environment: 60.99 + 15.05 and (d) Social relationships: 53.5 + 19.93. Conclusions: The drug resistant TB patients have poor QOL when compared to drug sensitive and general population.

Abstract:
Homomorphic encryption has largely been studied in context of public key cryptosystems. But there are applications which inherently would require symmetric keys. We propose a symmetric key encryption scheme with fully homomorphic evaluation capabilities. The operations are matrix based, that is the scheme consists of mapping the operations on integers to operations on matrix. We also include a protocol which uses the proposed scheme for private data processing in clouds.

Abstract:
The aim of this study was analyze the (co)variance components and genetic and phenotypic relationships in the following traits: accumulated milk yield at 270 days (MY270), observed until 305 days of lactation; accumulated milk yield at 270 days (MY270/ A) and at 305 days (MY305), observed until 335 days of lactation; mozzarella cheese yield (MCY) and fat (FP) and protein (PP) percentage, observed until 335 days of lactation. The (co)variance components were estimated by Restricted Maximum Likelihood methodology in analyses single, two and three-traits using animal models. Heritability estimated for MY270, MY270/A, MY305, MCY, FP and PP were 0.22; 0.24, 0.25, 0.14, 0.29 and 0.40 respectively. The genetic correlations between MCY and the variables MY270, MY270/A, MY305, PP and FP was: 0.85; 1.00; 0.89; 0.14 and 0.06, respectively. This way, the selection for the production of milk in long period should increase MCY. However, in the search of animals that produce milk with quality, the genetic parameters suggest that another index should be composed allying these studied traits.

Abstract:
Cyber space bullying is a relatively new phenomenon that has received increased attention by scientists, researchers and practitioners in recent years. It is usually defined as an intentionally and repeatedly expression of aggression towards other people through information and communication technologies. Cyber space bullying is characterized by all the primary characteristics of traditional bullying and some specifics ones that clearly differ it from other forms of bullying. In addition to the analysis of characteristics and specifics of cyber space bullying, the paper describes the basic forms of cyber space bullying (flaming, harassment, denigration, impersonation, outing, trickery, exclusion, stalking and happy slapping), as well as, the types of cyber space bullies (vengeful angel, power-hungry, revenge of the nerd, mean girls and inadvertent). The main goal of this paper is to provide initial theoretical guidelines for designing future empirical research on the complex phenomenon of cyber space bullying.

Abstract:
I have proposed a measure for the cage effect in glass forming systems. A binary mixture of hard disks is numerically studied as a model glass former. A network is constructed on the basis of the colliding pairs of disks. A rigidity matrix is formed from the isostatic (rigid) sub--network, corresponding to a cage. The determinant of the matrix changes its sign when an uncaging event occurs. Time evolution of the number of the uncaging events is determined numerically. I have found that there is a gap in the uncaging timescales between the cages involving different numbers of disks. Caging of one disk by two neighboring disks sustains for a longer time as compared with other cages involving more than one disk. This gap causes two--step relaxation of this system.

Abstract:
Let $X^{(\mu)}(ds)$ be an $\mathbb{R}^d$-valued homogeneous independently scattered random measure over $\mathbb{R}$ having $\mu$ as the distribution of $X^{(\mu)}((t,t+1])$. Let $f(s)$ be a nonrandom measurable function on an open interval $(a,b)$ where $-\infty\leqslant a

Abstract:
Extension of two known facts concerning subordination is made. The first fact is that, in subordination of 1-dimensional Brownian motion with drift, selfdecomposability is inherited from subordinator to subordinated. This is extended to subordination of cone-parameter convolution semigroups. The second fact is that, in subordination of strictly stable cone-parameter convolution semigroups on $\mathbb{R}^d$, selfdecomposability is inherited from subordinator to subordinated. This is extended to semi-selfdecomposability.

Abstract:
For infinitely divisible distributions $\rho$ on $\mathbb{R}^d$ the stochastic integral mapping $\Phi_f\rho$ is defined as the distribution of improper stochastic integral $\int_0^{\infty-} f(s) dX_s^{(\rho)}$, where $f(s)$ is a non-random function and $\{X_s^{(\rho)}\}$ is a L\'evy process on $\mathbb{R}^d$ with distribution $\rho$ at time 1. For three families of functions $f$ with parameters, the limits of the nested sequences of the ranges of the iterations $\Phi_f^n$ are shown to be some subclasses, with explicit description, of the class $L_{\infty}$ of completely selfdecomposable distributions. In the critical case of parameter 1, the notion of weak mean 0 plays an important role. Examples of $f$ with different limits of the ranges of $\Phi_f^n$ are also given.

Abstract:
A L\'evy process on $R^d$ with distribution $\mu$ at time 1 is denoted by $X^{(\mu)}=\{X_t^{(\mu)}\}$. If the improper stochastic integral $\int_0^{\infty-} f(s)dX_s^{(\mu)}$ of $f$ with respect to $X^{(\mu)}$ is definable, its distribution is denoted by $\Phi_f(\mu)$. The class of all infinitely divisible distributions $\mu$ on $R^d$ such that $\Phi_f(\mu)$ is definable is denoted by $D(\Phi_f)$. The class $D(\Phi_f)$, its two extensions $D_c(\Phi_f)$ and $D_e(\Phi_f)$ (compensated and essential), and its restriction $D^0(\Phi_f)$ (absolutely definable) are studied. It is shown that $D_e(\Phi_f)$ is monotonic with respect to $f$, which means that $|f_2|\leq |f_1|$ implies $D_e(\Phi_{f_1})\subset D_e(\Phi_{f_2})$. Further, $D^0(\Phi_f)$ is monotonic with respect to $f$ but neither $D(\Phi_f)$ nor $D_c(\Phi_f)$ is monotonic with respect to $f$. Furthermore, there exist $\mu$, $f_1$, and $f_2$ such that $0\leq f_2\leq f_1$, $\mu\in D(\Phi_{f_1})$, and $\mu\not\in D(\Phi_{f_2})$. An explicit example for this is related to some properties of a class of martingale L\'evy processes.