Vortex Turbulence in Linear Schroedinger Wave Mechanics

Quantum turbulence that exhibits vortex creation, annihilation and interactions is demonstrated as an exact solution of the time-dependent, free-particle Schr\"odinger equation evolved from a smooth random-phased initial condition. Relaxed quantum turbulence in 2D and 3D exhibits universal scaling in the steady-state energy spectrum as k-1 in small scales. Due to the lack of dissipation, no evidence of the Kolmogorov-type forward energy cascade in 3D or the inverse energy cascade in 2D is found, but the rotational and potential flow components do approach equi-partition in the scaling regime. In addition, the 3D vortex line-line correlation exhibits universal behaviour, scaled as \Deltar^-2, where \Deltar is the separation between any two vortex line elements, in fully developed turbulence. We also show that the quantum vortex is not frozen to the matter, nor is the vortex motion induced by other vortices via Biot-Savart's law. Thus, the quantum vortex is actually a nonlinear wave, propagating at a speed very different from a classical vortex.Comment: 9 pages, 14 figure

Proton and carbon-13 NMR lipid profiles of cells, tissues and body fluids

This thesis describes the development of a novel, comprehensive and rapid biological lipid analysis via high-field NMR. Based upon the information obtained from various 2-dimensional (2D) NMR experiments, and by comparing NMR spectra of biological lipid extracts to standard lipid spectra, plus cross-references with existing data when available, the major lipids and fatty acids have been successfully identified and quantified. Significantly, information obtained from NMR experiments proved to be in agreement with previous published data, which was obtained using well-established but time-consuming conventional chromatographic techniques. The NMR lipid assay was then applied to the analysis of various biological tissues, cells and body fluids including rat liver, brain, heart, kidney, mast cell, human erythrocyte and plasma lipid extract. Assignments were mostly achieved using 1H- and 13C-NMR spectroscopy, although experiments involved other nuclei were also performed when necessary (e.g. 31P). Applications to the detection of lipid and phospholipid changes in carbon tetrachloride treated animals were carried out

Cadbury Malaysia Porcine DNA Case: Lessons from Crisis Management and Cultural Perspectives

Crises are inevitable and it can be happened at any point of the organization process. Thus, it is worthwhile for the organization to identify the early plan of issue or potential risk occurring within organizations as it is not easy to win the reputation warfare. Thus, this paper aims to review the Cadbury Porcine DNA case that happened in Malaysia from the perspective of crisis management and cultural approaches. The discussion of the case surrounded on the chronology of the case, crisis communication and management strategies carried out by Cadbury and lessons learned from it. This has called upon the management, especially the public relations or corporate communication department to look into it to form a strategic solution to safeguard the organization’s reputation when the crisis strike

A short note on the joint entropy of n/2-wise independence

In this note, we prove a tight lower bound on the joint entropy of $n$ unbiased Bernoulli random variables which are $n/2$-wise independent. For general $k$-wise independence, we give new lower bounds by adapting Navon and Samorodnitsky's Fourier proof of the `LP bound' on error correcting codes. This counts as partial progress on a problem asked by Gavinsky and Pudl\'ak.Comment: 6 pages, some errors fixe