Medium vibration properties to characterize interface layers and quality of bonding can be examined by an ordinary approach using homogeneous waves or by a more general inhomogeneous ~or complex harmonic! wave scattering technique. It is known that only particular inhomogeneous plane waves can stimulate eigenvibrations of a given structure, and not the homogeneous wave. The reflection and trans...

BACKGROUND Myocardial perfusion gated single photon emission computed tomography (SPECT) can be used for non-invasive detection of coronary artery stenosis and cardiac allograft vasculopathy (CAV), which is a crucial factor for the long-term survival of heart transplant (HTx) recipients. A frequently observed finding in myocardial perfusion imaging of patients after HTx is inhomogeneous myocard...

We propose a model for statistically inhomogeneous two-phase random media , including functionally graded materials, consisting of inhomogeneous fully penetrable (Poisson distributed) spheres. This model can be constructed for any speciied variation of volume fraction and permits one to represent and evaluate certain n-point correlation functions that statistically characterize the microstructu...

In many practical situations, systems follow the pattern set by the second law of thermodynamics: they evolve from an organized inhomogeneous state into a homogeneous structure-free state. In many other practical situations, however, we observe the opposite emergence phenomenon: in an originally homogeneous structure-free state, an inhomogeneous structure spontaneously appears. In this paper, w...

introduction: brachytherapy is the use of small encapsulated radioactive sources in close vicinity of tumors. various methods are used to obtain the dose distribution around brachytherapy sources. tg-43 is a dosimetry protocol proposed by the aapm for determining dose distributions around brachytherapy sources. the goal of this study is to update this protocol for presence of bone and air inhom...

In this paper we study a class of inhomogeneous cosmological models which is a modified version of what is usually called the Lemâitre-Tolman model. We assume that we have a space with 2-dimensional locally homogeneous spacelike surfaces. In addition we assume they are compact. Classically we investigate both homogeneous and inhomogeneous spacetimes which this model describe. For instance one i...

Abstract We study a class of inhomogeneous and anisotropic G2 string cosmological models. In the case of separable G2 models we show that the governing equations reduce to a system of ordinary differential equations. We focus on a class of separable G2 M-theory cosmological models, and study their qualitative behaviour (a class of models with time-reversed dynamics is also possible). We find th...

As is apparent from most text books, the definition of a Markov process includes, in the most natural way, processes that are time inhomogeneous. Nevertheless, most modern references quickly restrict themselves to the time homogeneous case by assuming the existence of a time homogeneous transition function, a case for which there is a vast literature. The goal of this paper is to point out some...

Abstract We consider a discrete-time TASEP, where each particle jumps according to Bernoulli random variables with particle-dependent and time-inhomogeneous parameters. use the combinatorics of Robinson–Schensted–Knuth correspondence certain intertwining relations express transition kernel this interacting system in terms ensembles weighted, non-intersecting lattice paths and, consequently, as ...