In this paper, we present several new rank-one decomposition theorems for Hermitian positive semidefinite matrices, which generalize our previous results in Huang and Zhang (Math Oper Res 32(3):758–768, 2007), Ai and Zhang (SIAM J Optim 19(4):1735–1756, 2009). The new matrix rank-one decomposition theorems appear to have wide applications in theory as well as in practice. On the theoretical sid...

The latest Ebola outbreak is the diagnostics grand challenge of the moment. Groups across the world are racing to build the “ideal test” that according to the WHO should work without laboratory infrastructure, take fewer than 3 steps, report results in under 30 min, and have minimum biosafety requirements (1 ). Leo Poon, head of Public Health Laboratory Sciences at the University of Hong Kong S...

The capabilities of Horizontal Current Bipolar Transistor (HCBT) technology for radio frequency (RF) integrated circuit (IC) design is analyzed. The HBCT, with its novel technological approach and integration with existing CMOS technologies, is entering the testing phase on IC level. The demanding RF integrated circuit requirements and design issues in the frequency range 0.9 – 5 GHz are presen...

This research aimed to analyze health conditions and trends, develop a creative media model, well-being network of Buddhist-integrated manner five precepts village communities reduce risk behaviors youth in Ratchaburi Province. The methodology is action based on the development (R&D) model. Research tools include in-depth questionnaires, impact factor analysis form, specific group chat, per...

We prove the existence of a (unique) S-invariant Ricci-flat Kähler metric on a neighbourhood of the zero section in the canonical bundle of a realanalytic Kähler manifold X, extending the metric on X. In the important paper [3], Calabi proved existence of Ricci-flat Kähler metrics on two classes of manifolds: a) cotangent bundles of projective spaces; b) canonical bundles of Kähler-Einstein man...

We prove Okounkov’s conjecture, a conjecture of Fomin-FultonLi-Poon, and a special case of Lascoux-Leclerc-Thibon’s conjecture on Schur positivity and give several more general statements using a recent result of Rhoades and Skandera. An alternative proof of this result is provided. We also give an intriguing log-concavity property of Schur functions. 1. Schur positivity conjectures The ring of...

AlGaAs/GaAs HBTs are generating interest for their superior power performance in the 1-5 GHz frequency regime for applications such as wireless LANs and cellular telephones. Much of this interest stems from the fact that HBTs exhibit excellent linearity compared to other power devices. There has been little work done to understand and model the linearity of these devices. In this thesis the lin...

This chapter reviews e-Commerce research in Small to Medium-Sized Enterprises (SMEs) in New Zealand. The chapter then attempts to review the Government’s e-Commerce strategy highlighting commonalities and gaps with respect to e-Commerce adoption and diffusion research in SMEs in New Zealand. The chapter found the strategy emphasising the role of the Government in providing leadership, in buildi...

We prove Okounkov’s conjecture, a conjecture of Fomin-FultonLi-Poon, and a special case of Lascoux-Leclerc-Thibon’s conjecture on Schur positivity and give several more general statements using a recent result of Rhoades and Skandera. An alternative proof of this result is provided. We also give an intriguing log-concavity property of Schur functions. 1. Schur positivity conjectures The ring of...