A generalization of Émery’s inequality for stochastic integrals is shown for convolution integrals of the form ( ∫ t 0 g(t − s)Y (s−) dZ(s))t>0, where Z is a semimartingale, Y an adapted càdlàg process, and g a deterministic function. The function g is assumed to be absolutely continuous with a derivative that is continuous or of bounded variation or a sum of such functions. The function g may ...

The space SBV of special BV functions whose gradient measure has no Cantor part was singled out by De Giorgi and Ambrosio [4] as the natural setting to study variational problems where both volume and surface densities have to be taken into account. In fact, for a SBV function f the derivative Df is the sum of a measure Daf absolutely continuous with respect to the Lebesgue measure and a singul...

Multivariate reward processes with reward functions of constant rates, defined on a semi-Markov process, first were studied by Masuda and Sumita, 1991. Reward processes with nonlinear reward functions were introduced in Soltani, 1996. In this work we study a multivariate process , , where are reward processes with nonlinear reward functions respectively. The Laplace transform of the covar...

In the present work, an iterative method based on four-microphone transfer matrix approach was developed for evaluating sound speed and attenuation constant of air within a standing wave tube. particular, when inside tube is treated as material under test, i.e., if it were sample porous material, can be used to identify air’s acoustic properties. Note that wavenumber complex owing formation vis...

In this paper we study principal components analysis in the regime of high dimensionality and high noise. Our model of the problem is a rank-one deformation of a Wigner matrix where the signal-to-noise ratio (SNR) is of constant order, and we are interested in the fundamental limits of detection of the spike. Our main goal is to gain a fine understanding of the asymptotics for the log-likelihoo...

The behaviour of ultrasonic wave propagation through liquid solution has become an important tool for studying physical and chemical properties of liquid solutions. The density, viscosity and ultrasonic velocity of of cholesteryl oleyl carbonate have been studied. From the experimental data various thermo acoustical parameters such as free volume, internal pressure and Rao’s constant and Wada’s...

This paper has reported on the electrical and nonstructural of polymer-based materials in corporation NiO (Nickel oxide) in concentrations of 0.2%, 0.4% and 0.8% by weight of PVA (polyvinyl alcohol) polymer. Nanocrystallites phases and properties were characterized with using X-ray diffraction (XRD), Fourier transfer infrared radiation (FTIR),Energy distribution X-ray(EDX) techniques and X-Map ...

We present geometric derivations of the Smarr formula for static AdS black holes and an expanded first law that includes variations in the cosmological constant. These two results are further related by a scaling argument based on Euler’s theorem. The key new ingredient in the constructions is a two-form potential for the static Killing field. Surface integrals of the Killing potential determin...