We investigate the validity of Thorne’s hoop conjecture in non-axisymmetric spacetimes by examining the formation of apparent horizons numerically. If spaces have a discrete symmetry about one axis, we can specify the boundary conditions to determine an apparent horizon even in non-axisymmetric spaces. We implement, for the first time, the “hoop finder” in non-axisymmetric spaces with a discret...

It is common to use a compartmental, fluid model described by a system of ordinary differential equations (ODEs) to model disease spread. In addition to their simplicity, these models are also the mean-field approximations of more accurate stochastic models of disease spread on contact networks. For the simplest case of a stochastic susceptible-infected-susceptible (SIS) process (infection with...

We construct a new family of q-deformed coherent states |z q , where 0 < q < 1. These states are normalizable on the whole complex plane and continuous in their label z. They allow the resolution of unity in the form of an ordinary integral with a positive weight function obtained through the analytic solution of the associated Stieltjes power-moment problem and expressed in terms of one of the...

] The prevailing approach to modelling the time dimension in databases is, in one form or another, the use of an explicit representation of time. In this paper we propose a temporal relational model and algebra, based on temporal semantics, to incorporate an implicit time dimension in databases. In temporal semantics, time-varying relations are an indexed collection of ordinary relations, one f...

The augmented GARCH model is a unification of numerous extensions of the popular and widely used ARCH process. It was introduced by Duan and besides ordinary (linear) GARCH processes, it contains exponential GARCH, power GARCH, threshold GARCH, asymmetric GARCH, etc. In this paper, we study the probabilistic structure of augmented GARCH(1,1) sequences and the asymptotic distribution of various ...

Reinforced concrete beams are normally designed as under reinforced to provide ductile behavior such as the tensile moment of resistance. In coastal environment reinforcement corrosion is an obvious cause of deterioration of concrete structure, which affects the durability and service of reinforced concrete structure. Structural stability is majorly influenced by strength of concrete. Flexural ...

The ordinary variable inspection plans are sensitive to deviations from the normality assumption. A new variable inspection plan is constructed that can be used for arbitrary continuous populations with short tail distributions. The peaks over threshold method is used, the tails are approximated by a generalized Pareto distribution, their parameters and the fraction defective are estimated by a...

synopsis A simple calculation gives, to a first approximation, the ,influence of sliding friction on the motion of a top, spinning on a horizontal plane. For a spherical body with axially symmetric mass distribution two effect are found : 1. The centre of gravity will be lifted if it lies eccentric in the sphere; 2. the axis with the greatest moment of inertia moves towards the vertical, if the...

Here we discuss the ultraviolet and infrared aspects of the noncommutative counterpart of QED, which is called as noncommutative QED, as well as some infrared dynamics of noncommutative Yang-Mills (NCYM) theory. First we demonstrate that the divergence in the theory can be subtracted by the similar counterterms as in ordinary theory at one loop level. Then the anomalous magnetic moment is calcu...

Dynamical stochastic models of single neurons and neural networks often take the form of a system of n>2 coupled stochastic differential equations. We consider such systems under the assumption that third and higher order central moments are relatively small. In the general case, a system of 1 2 n(n13) ~generally! nonlinear coupled ordinary differential equations holds for the approximate means...