The Dynabee is a gyroscopic device that is marketed as a wrist exerciser. In this paper, a model for the dynamics of this device is presented. With some additional work, we find that the dynamics are governed by a single ordinary differential equation. The solution of this equation also provides the moment required to operate the device. Specifically, we find that this moment is proportional to...

The ordinary least squares estimation is based on minimization of the squared distance of the response variable to its conditional mean given the predictor variable. We extend this method by including in the criterion function the distance of the squared response variable to its second conditional moment. It is shown that this “second-order” least squares estimator is asymptotically more effici...

In the following, it is proposed to calculate the induced diamagnetic moment due to the free electrons in a metal, using, instead of the classical assumptions of elastic collisions, the recently developed wave-nature of the electron and the Fermi statistics. The problem resolves itself into three parts: to find (1) the /,' functions for an electron in a lattice for the case of small perturbatio...

The neutron electric dipole moment is investigated in a supersymmetric electroweak model admitting SU(2)W singlet and Q = −1/3, say D-type, quarks. Significant CP violating phases appear in the coupling between the singlet D-type quarks and the ordinary d-type quarks. Then, through the d-D mixing effects on the squark mass terms the gluino one-loop diagrams provide naturally the contributions ∼...

Fluid analysis of Population CTMCs with non-linear evolution rates requires moment closures to transform a linear system with infinitely many ordinary differential equations (ODEs) into a non-linear one with a finite number of ODEs. Due to the ubiquity of kinetics with quadratic rates in physical processes, various closure techniques have been discussed in the context of systems biology and per...

in this paper, moment-curvature behavior and ductility of prestressed concrete members based on nonlinear analysis is investigated. influence of various design parameters on ductility of flexural members is determined according to appropriate materials models for stress-strain curves of concrete, prestressing steel and conventional reinforcements. parameters studied include reinforcing index (ω...

heavy metal contamination has been and continues to be a worldwide phenomenon that heavy metals in the soil have an effect on environment and food quality, and may threaten human health. no information is currently available on the distribution pattern of heavy metals concentration in soils of golestan province. the objective of this research was to determine the spatial distribution of cd, as,...

Various sufficient dimension reduction methods have been proposed to find linear combinations of predictor X, which contain all the regression information of Y versus X. If we are only interested in the partial information contained in the mean function or the kth moment function of Y given X, estimation of the central mean space (CMS) or the central kth moment space (CKMS) becomes our focus. H...

Let (St)t≥0 be the discounted price process in a stochastic volatility model. A moment explosion takes place, if the moment E[S t ] of some given order u ∈ R becomes infinite (‘explodes’) after some finite time T∗(u). Moment explosions are closely related to the shape of the implied volatility surface, where they can be used to obtain approximations for deep in-the-money and out-of-the-money st...

A real-time tracking system was built to track performers on an interactive stage. Using an ordinary, up to date, desktop workstation, the performers’ silhouette was segmented from the background and parameterized by calculating the normalized central image moments. In the stage system, the silhouette moments were then sent to a parallel workstation, which used them to generate corresponding 3D...