Closed expressions are derived for the pseudo-norm, norm and orthogonality relations for arbitrary bound states of the PT symmetric and the Hermitian Scarf II potential for the first time. The pseudo-norm is found to have indefinite sign in general. Some aspects of the spontaneous breakdown of PT symmetry are analysed.

Information analysis often involves decomposing data into sub-groups to allow for comparison and identification of relationships. Breakdown Visualization provides a mechanism to support this analysis through user guided drill-down of polyarchical metadata. This metadata describes multiple hierarchical structures for organizing tuple aggregations and table attributes. This structure is seen in f...

The management of the prefabricated building supply chain involves entire process buildings. There are many uncertain factors, and risk factors in any link will affect overall operation chain. In order to achieve “dual carbon” goal as soon possible promote sustainable development chain, it is very important study assembly recognition, prediction, assessment, response. this study, on basis liter...

T construction of a probabilistic model is a key step in most decision and risk analyses. Typically this is done by defining a single joint distribution in terms of marginal and conditional distributions. The difficulty of this approach is that often the joint distribution is underspecified. For example, we may lack knowledge of the marginal distributions or the underlying dependence structure....

Within the EU FP6 Integrated Project WINNER, adaptive transmission is investigated as a key technology for boosting the spectral efficiency of a new radio interface for 4G systems. Adaptive allocation of timefrequency bins in an OFDM-based system offers a significant potential, but also poses challenges. Within work package 2 of WINNER, we study critical issues such as the feasibility of adapti...

The work breakdown structure (WBS) is a vehicle for breaking an engineering project down into subproject, tasks, subtasks, work packages, and so on. It is an important planning tool which links objectives with resources and activities in a logical framework. It becomes an important status monitor during the actual implementation as the completions of subtasks are measured against the project pl...

We show that it is possible to obtain spontaneous CP violation in the minimal SU(2)L × SU(2)R ×U(1)B−L, i.e. in a left right symmetric model containing a bidoublet and two triplets in the scalar sector. For this to be a natural scenario, the non-diagonal quartic couplings between the two scalar triplets and the bidoublet play a fundamental role. We analyze the corresponding Higgs spectrum, the ...

The breakdown characteristics of an avalanche photodiode (APD) are generally assessed by examining the steepness of the breakdown-probability curve as a function of the normalized excess breakdown voltage, ∆V /V BR , which is the voltage beyond the breakdown voltage, V BR , normalized by the breakdown voltage. This metric indicates how quickly the transition from stable operation (finite gain) ...

∗Department of Computer Science and Information Engineering, National Central University, Jhongli, Taiwan E-mail: {yjlee, jass, wtlee, jielee}@selab.csie.ncu.edu.tw ∗∗Department of Computer and Information Science, National Taichung University, Taichung, Taiwan E-mail: [email protected] ∗∗∗Department of Computer Science and Engineering, National Taiwan Ocean University, Keelung, Taiwan E-m...