Wireless sensor networks (WSN) have become a significant technology in recent years. They can be widely used in many applications. WSNs consist of a large number of sensor nodes and each of them is energy-constrained and low-power dissipation. Most of the sensor nodes are tiny sensors with small memories and do not acquire their own locations. This means determining the locations of the unknown...

The analysis of Discrete Event Systems suffer from the well known state explosion problem. A classical technique to overcome this problem is to relax the behaviour by partially removing the integrality constraints, thus dealing with hybrid or continuous systems. In the Petri nets framework, continuous net systems (technically hybrid systems) are the result of removing the integrality constraint...

We show that the black hole perturbations of the Hayward static solution to the massless Einstein-Klein-Gordon equations are actually gauge artifacts resulting from the linearization of a coordinate transformation. In a recent paper [1], Hayward discussed a homothetic, static solution to the massless Einstein-Klein-Gordon equations. With the spherically symmetric ansatz ds = rdΩ − 2edxdx (1) (w...

In this paper, we study 3-dimensional compact and connected trans-Sasakian manifolds find necessary sufficient conditions under which these are homothetic to Sasakian manifolds. First, four results in paper deal with finding on a manifold be manifold, the fifth result deals condition manifold. Finally, simply Einstein

A granulometry is a family of morphological openings by scaled structuring elements. As the scale increases, increasing image area is removed. Normalizing removed area by the total area yields the pattern spectrum of the image. The pattern spectrum is a probability distribution function and its moments are known as granulometric moments. Modeling the image as a random set, the pattern spectrum ...

The main aim of this paper is to investigate the nature invariance rectifying curve under conformal transformation and obtain a sufficient condition for which such remains conformally invariant. It shown that normal component geodesic curvature homothetic

Standard micro-founded macroeconomics starts with optimization exercises to derive the precise behavior of the representative agent and regards the macroeconomy as a homothetic enlargement of a micro agent. This paper takes a different approach and presents a new micro-foundation for Keynesian economics. The key concept is stochastic macro-equilibrium, which is a natural extension of the labor ...

In this paper, we study the geometry of a semi-Riemannian manifold M̄ of quasi-constant curvature. The main result is two characterization theorems for M̄ endowed with a statical, screen homothetic or screen totally umbilical half lightlike submanifold M . Mathematics Subject Classification: 53C25, 53C40, 53C50

This paper considers the robust model predictive control synthesis problem for constrained linear discrete time systems. The manuscript introduces a simple homothetic tube model predictive control synthesis method. The proposed method employs several novel features including: a more general parameterization of the state and control tubes based on homothety and invariance; a more flexible form o...