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New Approach of Deterministic Key Pre-distribution Scheme Using Triangle Free Quasi Symmetric Designs
Get PDFA wireless sensor network (WSN) consists of tiny autonomous sensor nodes with some constraints. There are organizations having moderately necessitates of these kind of networks. So, security become an indispensable concern in WSN, due to potential adversaries. To overcome the security problem, keys are pre-loaded to the nodes before deployment. Among all key distribution schemes, deterministic key pre-distribution scheme (KPS) using combinatorial design is efficient regarding security aspect. In this paper, a deterministic approach, based on combinatorial design, for key assignment before the network deployment has been presented. Here the quasi-symmetric design which is of triangle-free is being used to present the new KPS for sensor networks. Due to this approach each sensor node either will contain a key-chain or will communicate through a key-path. This will improve the resiliency and achieve the sufficient level of security in the network. This design can also be used when a large number of nodes are being deployed in WSN
Functional Dimension of Solution Space of Differential Operators of Constant Strength
Get PDFA differential operator with constant coefficients is hypoelliptic if and only if its solution space is of finite functional dimension. We extend this property to operators with variable coefficient. We prove that an equally strong differential operator with variable coefficients has the same property. In addition, we extend the Zielezny’s result to operators with variable coefficients; prove that an operator with analytic coefficients on ℝn is elliptic if and only if locally the functional dimension of its solution space is the same as the Euclidean dimension n
Alpha-Skew Generalized Normal Distribution and its Applications
Get PDFThe main object of this paper is to introduce a new family of distributions, which is quite flexible to fit both unimodal and bimodal shapes. This new family is entitled alpha-skew generalized normal (ASGN), that skews the symmetric distributions, especially generalized normal distribution through this paper. Here, some properties of this new distribution including cumulative distribution function, survival function, hazard rate function and moments are derived. To estimate the model parameters, the maximum likelihood estimators and the asymptotic distribution of the estimators are discussed. The observed information matrix is derived. Finally, the flexibility of the new distribution, as well as its effectiveness in comparison with other distributions, are shown via an application
Regular Semiopen Sets on Intuitionistic Fuzzy Topological Spaces in Sostak’s Sense
Get PDFWe introduce the concepts of fuzzy (r; s)-regular semi (resp. (r; s)-α, (r; s)-pre, (r; s)-β open sets, their respective interior and closure operators on intuitionistic fuzzy topological spaces in ˆ Sostak’s sense and then we investigate some of their characteristic properties
Cyclic Kite Configuration with Variable Mass of the Fifth Body in R5BP
Get PDFThis paper presents a numerical investigation on some characteristics and parameters related to the motion of an infinitesimal body with variable mass in five-body problem. The other four bodies are considered as primaries. The whole system forms a cyclic kite configuration and moves on a circle, the center of which is taken as the origin.We assume that the motion of the fifth infinitesimal body is affected by the other components of the system but it has no effect on their behavior. We started by setting the equations of motion of the fifth body by using Jeans’ law and Meshcherskii’s space-time transformations. Further, we determined numerically, using Mathematica software, the positions of Lagrangian points and basins of attraction in various planes. Finally, we investigated the linear stability of the Lagrangian points and noticed that all the Lagrangian points are unstable
On Nearly Kähler Finsler Spaces
No full textIchijy¯o introduced (a; b; J)-manifolds as a special class of generalized Randers manifolds. We introduce generalized (a; b; J)-manifolds. A partial negative answer to Ichijy¯o’s open problem on nearly Kähler Finsler manifolds is given. The condition under which generalized (a; b; J)- manifolds are Berwaldian is obtained. Finally, we prove that under a mild assumption a nearly Kähler Finsler manifold is Landsbergian
Differential Invariants of Non-degenerate Surfaces
Get PDFThis paper aims to prove that the set {g_{ij}(x), L_{ij} (x), i, j = 1, 2} is a complete system of the SM(3)- invariants of a nondegenerate surface in R3, where {g_{ij}(x)} and {L_{ij}(x)}, 1, j = 1, 2 are the sets of all coefficients of the first and second fundamental forms of a surface x in R3. A similar result was obtained for the group M(3)
Remarkable Applications of Measure of Non-compactness For Infinite System of Differential Equations
Get PDFThe essential goal of our study is to search for a solution of an infinite system of differential equations in two different Banach spaces under certain assumptions by the aid of measure of noncompactness. Also, we establish some interesting examples related to our results
MHD Boundary Layer Flow of Darcy-Forchheimer Mixed Convection in a Nanofluid Saturated Porous Media with Viscous Dissipation
Get PDFThe steady laminar viscous incompressible nanofluid flow of mixed convection and mass transfer about an isothermal vertical flat plate embedded in Darcy porous medium in the presence of magnetic field and viscous dissipation is analyzed. The governing partial differential equations are converted into ordinary differential equations by similarity transformations. The coupled nonlinear ordinary differential equations are linearized by Quasi-linearization technique. The linear ordinary differential equations are solved by using implicit finite difference scheme with the help of C-programming. Numerical calculations are carried out for different values of dimensionless parameter such as magnetic field, mixed convection parameter, inertia parameter, buoyancy ratio parameter, Eckert number, Prandtl number, Brownian motion parameter and Thermophoresis parameter. The temperature and concentration profiles increase with the increase of thermophoresis parameter. It is noticed that with the increase of Brownian motion parameter the temperature profile increases whereas concentration profile decreases. On the other hand, the Local Nusselt number and the local Sherwood number also presented and analyzed
Modeling the Water-Energy-Food Nexus in ObR-E’s: The Eight (8) Coordinates
Get PDFThe need to formulate quantifiers for water, energy and food (WEF) is necessary sequel to conservation issues worldwide. Existing methodologies on the WEF nexus appear less fitting in sustainability arguments because of incompleteness. This article analyzes the WEF nexus in open but restricted environments (ObR-E’s) with completeness assumption in form of the known inter-intra dependence of nexus elements for sustainability and better conservation practice. The analysis leads to the discovery of the Jalingo equation whose any non simplistic solution is a solution to the WEF problem in some ObR-E’s world wide. It is important to seek other non simplistic solutions for this equation under certain constraints known to affect WEF in ObR-E’s of specialty