A comprehensive analysis of the Parkinson's Progression Markers Initiative (PPMI) Dopamine Transporter Single Photon Emission Computed Tomography (DaTscan) images is carried out using a voxel-based logistic lasso model. The model reveals that sub-regional voxels in the caudate, the putamen, as well as in the globus pallidus are informative for classifying images into control and PD classes. Fur...

In the traditional economic order quantity/economic production quantity model, most of the items considered are of perfect type. But this situation rarely takes place in practice. Thus, in this paper, an economic order quantity model with imperfectquality items is developed. 100% screening process is performed, and the items of imperfect quality are sold as a single batch. A proportionate ra...

The reflection and transmission of thermoelastic plane waves at an imperfect boundary of two dissimilar fibre-reinforced transversely isotropic thermoelastic solid half-spaces under hydrostatic initial stress has been investigated. The appropriate boundary conditions are applied at the interface to obtain the reflection and transmission coefficients of various reflected and transmitted waves wi...

A positive integer n is called a k-imperfect number if kρ(n) = n for some integer k ! 2, where ρ is a multiplicative arithmetic function defined by ρ(pa) = pa−pa−1+pa−2−· · ·+ (−1)a for a prime power pa. In this paper, we prove that every odd k-imperfect number greater than 1 must be divisible by a prime greater than 102, give all k-imperfect numbers less than 232 = 4294 967 296, and give sever...

This paper investigates differentiated product pricing and the effects of vertical organization under imperfect competition. We use a Cournot model to examine the relationship between price margins and market concentrations in a vertical sector involving multi-product firms producing differentiated products. The analysis relies on vertical measures of concentration (termed VHHI) to study how th...

electric power industry have always try to provide reliable electricity to customers and at the same time decrease system costs. high voltage circuit-breakers are an essential part of the power network. this study has developed a maintenance and replacement scheduling model for high voltage circuit- breakers that minimize maintenance costs while maintaining the acceptable reliability. this mode...

Extensive-form games with imperfect recall are an important game-theoretic model that allows a compact representation of strategies in dynamic strategic interactions. Practical use of imperfect recall games is limited due to negative theoretical results: a Nash equilibrium does not have to exist, computing maxmin strategies is NP-hard, and they may require irrational numbers. We present the fir...

In this paper, we investigate the problem of verifying pushdown multiagent systems with imperfect information. As the formal model, we introduce pushdown epistemic game structures (PEGSs), an extension of pushdown game structures with epistemic accessibility relations (EARs). For the specification, we consider extensions of alternating-time temporal logics with epistemic modalities: ATEL, ATEL∗...

We consider a stochastic many-body system where a source refills uniformly the empty sites of a hypercubic lattice, on which each particle is allowed to jump (symmetrically) onto neighboring vacant sites. In addition, there is a local trap, in competition with the injection reaction, which perturbs the dynamics by removing particles from the system. In dimensions d = 1, 2 and 3, for an “imperfe...