The effect of polydispersity and inhomogeneity of supported bimetallic catalysts on the EXAFS analysis is investigated with some simple model calculations. These show that EXAFS is very insensitive to polydispersity. Polydispersity and inhomogeneous distribution of the metals over the particles however have only limited influence on the ability to distinguish between core-shell particles and pa...

The new highly active supported vanadium-magnesium catalyst (VMC) has been studied in α-olefin (1-butene, 1-hexene)/ ethylene copolymerization in the presence of hydrogen. Data on the effect of α-olefin/ethylene ratio in copolymerization on the content of branchings in copolymers, kinetic profile, copolymer yield, molecular weight and molecular weight distribution of copolymers have been obtain...

It is proved that the limiting distribution of the length of the longest weakly increasing subsequence in an inhomogeneous random word is related to the distribution function for the eigenvalues of a certain direct sum of Gaussian unitary ensembles subject to an overall constraint that the eigenvalues lie in a hyperplane.

The microstructure of dual phase steels can be considered as a matrix of ferrite phase reinforced by martensite particles. Recent measurements show that the mechanical properties of the ferrite phase are changed with the distance from the martensite grains. In this paper, a new method has been proposed to consider this phenomenon in finite element modeling of dual phase steels microstructure. I...

Inhomogeneous random graphs are commonly used models for complex networks where nodes have varying degrees of connectivity. Computing the degree distribution such is a fundamental problem and has important applications in various fields. We define inhomogeneous graph as model edges drawn independently probability link between any two vertices can be different each node pair. In this paper, we p...

An inhomogeneous first–order integer–valued autoregressive (INAR(1)) process is investigated, where the autoregressive type coefficient slowly converges to one. It is shown that the process converges weakly to a Poisson or a compound Poisson distribution.

The volumes, spectra and geodesics of a recently constructed infinite family of fivedimensional inhomogeneous Einstein metrics on the two S bundles over S are examined. The metrics are in general of cohomogeneity one but they contain the infinite family of homogeneous metrics T . The geodesic flow is shown to be completely integrable, in fact both the Hamilton-Jacobi and the Laplace equation se...

We extend the applicability of the recently revised Kubelka-Munk (K-M) theory to inhomogeneous optical media by treating inhomogeneous ink penetration of the substrate. We propose a method for describing light propagation in either homogeneous or inhomogeneous layers using series representations for the K-M scattering and absorption coefficients as well as for intensities of the upward and down...

We have observed kilohertz and sub-kilohertz resonance structures in RF-optical double resonance experiments of rare-earth-doped solids, when the frequency of the RF ® eld is scanned across the hyper® ne transitions while monitoring the resonant optical absorption of a CW laser. The eå ect is observed only when the laser spectral width is broad compared to the hyper® ne structure. The observed ...

Clouds have a profound influence on radiative fluxes, for both solar and infrared radiation. Inhomogeneous clouds, in particular, have complex effects on fluxes and can be challenging to parameterize. Killen and Ellingson (1994) showed the importance of cloud geometry and spatial distribution on infrared fluxes, while Takara and Ellingson (1996) emphasized the necessity of modeling both cloud g...