Automated detection of touching cells in images with inhomogeneous illumination is a challenging problem. A detection framework using a stack of two conditional random fields is proposed to detect touching elongated cells in scanning electron microscopy images with inhomogeneous illumination. The first conditional random field employs shading information to segment the cells where the effect of...

the third order term in the density functional is required for study of an inhomogeneous fluid. this term can be chosen such that, the thermodynamic potential gives the correct bulk pressure. the density porofile of a hard sphere fluid near hard wall which is an inhomogeneous fluid is obtained and it is shown that, if the third order term is ignored, although an exact bulk direct correlation fu...

We present measurements of the clustering of hot and cold patches in the microwave background sky as measured from the W ilkinson M icrowave Anisotropy Probe (WMAP) five-year data. These measurements are compared with theoretical predictions which assume that the cosmological signal obeys Gaussian statistics. We find significant differences from the simplest Gaussian-based prediction. However, ...

We consider a class of inhomogeneous birth-death queueing models and obtain uniform approximation bounds of two-sided truncations. Some examples are considered. Our approach to truncations of the state space can be used in modeling information flows related to high-performance computing. INTRODUCTION It is well known that explicit expressions for the probability characteristics of stochastic bi...