A theory of radiation absorption by dielectric mixtures is presented. The coarse-grained formulation is based on the wave-vector-dependent correlation functions of molecular dipoles of the host polar liquid and a density structure factor of the solutes. A nonlinear dependence of the dielectric absorption coefficient on the solute concentration is predicted and originates from the mutual polariz...

A commonly used characteristic of statistical dependence of adjacency relations in real networks, the clustering coefficient, evaluates chances that two neighbours of a given vertex are adjacent. An extension is obtained by considering conditional probabilities that two randomly chosen vertices are adjacent given that they have r common neighbours. We denote such probabilities cl(r) and call r ...

The present review introduces methods of analyzing the relationship between two quantitative variables. The calculation and interpretation of the sample product moment correlation coefficient and the linear regression equation are discussed and illustrated. Common misuses of the techniques are considered. Tests and confidence intervals for the population parameters are described, and failures o...

The DSTO water tunnel’s balance and rotary support mechanism provides a measurement capability for longitudinal dynamic derivatives. This report documents the underlying theory and computational implementation of a technique which uses the water tunnel for determination of normal force and pitching moment coefficient derivatives with respect to angle of attack, nondimensional pitch rate and ang...

In the following paper, we provide a stochastic analogue to work of Shea and Wainger by showing that when the measure and state-independent diffusion coefficient of a linear Itô–Volterra equation are in appropriate Lp– weighted spaces, the solution lies in a weighted Lp–space in both an almost sure and moment sense.

We present two moment-ratio diagrams along with guidance for their interpretation. The first momentratio diagram is a graph of skewness versus kurtosis for common univariate probability distributions. The second moment-ratio diagram is a graph of coefficient of variation versus skewness for common univariate probability distributions. Both of these diagrams, to our knowledge, are the most compr...

Consider options on a nonnegative underlying random variable with arbitrary distribution. In the absence of arbitrage, we show that at any maturity T , the large-strike tail of the Black-Scholes implied volatility skew is bounded by the square root of 2|x|/T , where x is log-moneyness. The smallest coefficient that can replace the 2 depends only on the number of finite moments in the underlying...

We calculate the anomalous magnetic moment of anyons in three dimensional CPN−1 model with a Chern-Simons term in various limits in 1/N expansion. We have found that for anyons of infinite mass the gyromagnetic ratio (g-factor) is 2 up to the next-to-leading order in 1/N . Our result supports a recent claim that the g-factor of nonrelativistic anyons is exactly two. We also found that for − 8 π...

Loosening of the artificial cup and inlay is the most common reasons for total hip replacement failures. Polyethylene wear and aseptic loosening are frequent reasons. Furthermore, over the past few decades, the population of patients receiving total hip replacements has become younger and more active. Hence, a higher level of activity may include an increased risk of implant loosening as a resu...

-This paper presents, method of moments based analysis of broad-wall longitudinal slots array antenna using Multiple Cavity Modeling Technique (MCMT). Theoretical data for reflection coefficient, transmission coefficient, resonance length and resonance conductance have been obtained for two slots in two different waveguide. The theoretical data have been compared with Ansoft HFSS’s simulated da...