Root Isolation of Zero-dimensional Polynomial Systems with Linear Univariate Representation

In this paper, a linear univariate representation for the roots of a zero-dimensional polynomial equation system is presented, where the roots of the equation system are represented as linear combinations of roots of several univariate polynomial equations. The main advantage of this representation is that the precision of the roots can be easily controlled. In fact, based on the linear univariate representation, we can give the exact precisions needed for roots of the univariate equations in order to obtain the roots of the equation system to a given precision. As a consequence, a root isolation algorithm for a zero-dimensional polynomial equation system can be easily derived from its linear univariate representation.Comment: 19 pages,2 figures; MM-Preprint of KLMM, Vol. 29, 92-111, Aug. 201

Adolescent’s cultural identity and neighbourhood environment

Objective: this study aims to find out how adolescents in Australia identify themselves culturally, and how adolescents from different cultural groups differ in their assessments of their neighbourhood environments. Methods: one hundred and sixty-six adolescents in Sydney completed a self-administered questionnaire, which collected information of their neighbourhood environments and their cultural backgrounds. Results: adolescents reported a great variety (67) of different cultural backgrounds, clustered into three cultural groups: Australian cultural identity group, Heritage cultural group, and Biculturalism group. Although no significant difference was found on most neighbourhood environment factors between the cultural groups, adolescents from Heritage cultural group scored significantly lower on the factor Vegetation & Facilities. Conclusions: The results of this study suggest that the overall neighbourhood environments for adolescents from different cultural groups are satisfactory. However, ethnic minority adolecents live in neighbourhoods with less vegetation and facilities, which suggest that spatial inequity related to ethnic backgrounds still exist in Australia

A Doppler Lidar system with preview control for wind turbine load mitigation

This dissertation focuses on the development of a system for wind turbine in order to mitigate the load from unstable wind speed. The work is divided into 2 main parts: a cost efficient Doppler wind Lidar system is developed based on a short coherence length laser system in combine with multiple length delayline concept; a preview pitch control is developed based on the design of a combination of 2 degree of freedom (2-DOF) feedback / feedforward control with a model predictive control

Monodisperse Mesoporous Silica Nanoparticles: Preparation, Characterization and Application

As one of the most attractive materials over the past decades, mesoporous silica has proven a large number of applications in catalysis, separation, adsorption, biomedicine, photonics etc. Morphology and size greatly affect the properties and functions of mesoporous silica. Mesoporous silica nanoparticles (MSNs) with the size of several hundred nanometers provide enhanced pore accessibility, faster molecular diffusion, better dispersibility in aqueous and organic solvents and highly improved biocompatibility compared to their bulky counterparts. This dissertation focuses on developing new synthesis methods for the preparation of MSNs with well-controllable morphology, particle size, uniformity and dispersity. Four types of MSNs with various pore symmetries and diverse nanostructures were successfully synthesized. Furthermore, the application of the obtained MSNs has been probed in the adsorption of biomolecules, controlled release of fungicides and catalysis