In this paper, we propose two regularization approaches for the Boltz-mann collision operator. The constructed operators preserve the mass, momentum and energy; their equilibrium states are Maxwellians and they satisfy the H theorem. In the rst approach, the regularization consists in allowing microscopic collisions which do not exactly preserve energy and momentum. However, the limit of the mo...

Increased emphasis on aircraft inspection to ensure aviation safety has resulted in the need for a better trained workforce of aircraft maintenance personnel. As almost 90% of inspection is visual in nature, it has led to the development of computer simulators to train human inspectors performing the inspection task. However, the lack of immersion and interaction has led to limited effectivenes...

The Wilcoxon-Mann-Whitney statistic is commonly used for a distribution-free comparison of two groups. One requirement for its use is that the sample sizes of the two groups are fixed. This is violated in some of the applications such as medical imaging studies and diagnostic marker studies; in the former, the violation occurs since the number of correctly localized abnormal images is random, w...

In this paper we show Whitney’s fibering conjecture in the real and complex, local analytic and global algebraic cases. For a given germ of complex or real analytic set, we show the existence of a stratification satisfying a strong (real arc-analytic with respect to all variables and analytic with respect to the parameter space) trivialization property along each stratum. We call such a trivial...

There are so many excellent review papers describing the principles of C o m p t o n spectrometry that they may be considered almost as a bible for anyone wishing to work in this field. Here I want to quote the book edited by Williams [1], papers by Coope r [2 -4 ] and more recent papers of Mann inen [5] and Sharma [6]. The use of circularly polarized synchrot ron radiat ion to so-called magnet...

structural steel sections are mainly used in beams and columns of building frames. iran national steel industrialgroup is among the oldest and largest producers of beams in iran. it has two beam production lines, namely line630 and line 650. in this study, the mechanical properties of manufactured beams in these production lines werecompared. based on the t-test results, the elongation is signi...

“Supplementary Figure 1. Effect of activity blockade on synaptic area, levels of Homer and Bassoon, Homer-Bassoon colocalization values in three independent experiments, and the relationship between the colocalization values and synaptic properties. (A) TTX treatment does not affect the size of synaptic clusters. P > 0.05, Mann-Whitney test. (B) TTX treatment increases synaptic levels of Homer....