Smooth critical points of planar harmonic mappings

In a work in 1992, Lyzzaik studies local properties of light harmonic mappings. More precisely, he classifies their critical points and accordingly studies their topological and geometrical behaviours. We will focus our study on smooth critical points of light harmonic maps. We will establish several relationships between miscellaneous local invariants, and show how to connect them to Lyzzaik's models. With a crucial use of Milnor fibration theory, we get a fundamental and yet quite unexpected relation between three of the numerical invariants, namely the complex multiplicity, the local order of the map and the Puiseux pair of the critical value curve. We also derive similar results for a real and complex analytic planar germ at a regular point of its Jacobian level-0 curve. Inspired by Whitney's work on cusps and folds, we develop an iterative algorithm computing the invariants. Examples are presented in order to compare the harmonic situation to the real analytic one.Comment: 36 pages, 5 figure

The measurement of the pp->K+ n Sigma+ reaction near threshold

It is shown that a recent extraction of the total cross section for pp->K+ n Sigma+ from inclusive K+ production data is in conflict with experimental data on the exclusive pp->K+ p Lambda reaction. The result may be interpreted as an upper bound which is not inconsistent with the much lower values that already exist in the literature.Comment: Submitted to PL

A hybrid renewable energy system for a longhouse

Renewable energy resources have already become an important alternative electric power generation technologies, due to the negative impacts of global warming on the environment, brought about by the use of fossil-fuelled generation. To combat such impacts, a hybrid energy system which consists of more than one source of renewable energy would be a good alternative to replace conventional electricity generation for Malaysia’s rural areas. A longhouse, or ‘Rumah Panjang’ in the local language, is a timber house raised three to five feet off the ground on stilts. Between 20 – 40 families of the ‘Rungus’, an ethnic group in the Borneo, residing primarily in northern Sabah, in the area around Kudat, dwell these longhouses. Due to the limitation of electricity access in that area, a hybrid system that consists of solar and wind energies as well as energy storage is proposed as a standalone renewable energy system for electricity supply. In this paper, three load profiles, representing various weather conditions; including hot, rainy and normal weather days are developed to represent the annual load curve. Meteorological data of solar irradiation and wind speed are collected at the Kudat area. Modelling of the hybrid system is then carried out based on selecting the most suitable system components, such as PV arrays, wind turbines, batteries and the inverter that satisfy both the technical and financial feasibility criteria. The model is then simulated using HOMER software to calculate the net present cost and the levelized cost of energy (LCOE). Results of the hybrid system simulation are compared with a diesel power generation, representing conventional energy supply, as the existing energy source. The comparison highlights the economic viability of the proposed hybrid system as a sustainable energy alternative to supply electricity to the longhouse

GAS CHROMATOGRAPH-MASS SPECTROMETER ANALYSIS AND ACUTE ORAL TOXICITY OF CINNAMOMUM BURMANNII., NESS EX BL. ESSENTIAL OIL

ABSTRACTObjective: Cinnamomum burmannii Nees Ex Bl. essential oil has cytotoxic effect on a lot of cancer cell lines. An investigation was carried out to analyzethe possible chemical components from C. burmannii essential oil and evaluate its acute toxicity, before an effective formulation of C. burmanniiessential oil as anticancer drugs.Methods: This study was analyzed chemical components from C. burmannii essential oil by gas chromatograph-mass spectrometer (GC-MS) andevaluated the acute oral toxicities of C. burmannii essential oil in strain Balb/C mice. Results: This analysis revealed that C. burmannii essential oil contains the active compound cinnamaldehyde (71.814%), trans-cinnamyl acetate(11.09%), coumarin (3.41%), and cineol (1.77%). Acute oral toxicity of C. burmannii essential oil with lethal dose 50 3679.11 mg/kg BW.Conclusion: C. burmannii essential oil contains the active compound cinnamaldehyde, trans-cinnamyl acetate, coumarin and cineol. Acute oral toxicityconclusively indicates C. burmannii essential oil includes category 5 practically non-toxic.Keywords: Gas chromatograph-mass spectrometer, Cinnamomum burmannii, Essential oil, Acute toxicity

On Near Prime-Order Elliptic Curves with Small Embedding Degrees

Article published in the proceeding of the conference CAI 2015 http://www.ims.uni-stuttgart.de/events/CAI2015In this paper, we generalize the method of Scott and Barreto in order to construct a family of pairing-friendly elliptic curve. We present an explicit algorithm to obtain generalized MNT families curves with any cofactors. We also analyze the complex multiplication equations of these curves and transform them into generalized Pell equation. As an example, we describe a way to generate Edwards curves with embedding degree 6

Smooth critical points of planar harmonic mappings

Lyzzaik studied the local properties of light harmonic mappings. More precisely, he classified their critical points and accordingly studied their topological and geometrical behaviour. One aim of our work is to shed some light on the case of smooth critical points, thanks to miscellaneous numerical invariants. Inspired by many computations, and with a crucial use of Milnor fibration theory, we get a fundamental and quite unexpected relation between three of these invariants. In the final part of the work we offer some examples providing significant differences between our harmonic setting and the real analytic one

RIN and transmission performance improvement using second order and broadband first order forward Raman pumping

Low RIN bidirectionally pumped Raman amplification is studied. We investigate the importance of the 1st order forward pump generation technique and optimize the forward pump characteristics to achieve RIN comparable with backward only pumping and increased transmission reach