P. Martin


3 Nonhomogeneous Linear Second Order Differential Equations and Resonance through Geogebra Program

Authors: P. Martin, F. Maass, J. Olivares


The aim of this work is the application of the program GeoGebra in teaching the study of nonhomogeneous linear second order differential equations with constant coefficients. Different kind of functions or forces will be considered in the right hand side of the differential equations, in particular, the emphasis will be placed in the case of trigonometrical functions producing the resonance phenomena. In order to obtain this, the frequencies of the trigonometrical functions will be changed. Once the resonances appear, these have to be correlationated with the roots of the second order algebraic equation determined by the coefficients of the differential equation. In this way, the physics and engineering students will understand resonance effects and its consequences in the simplest way. A large variety of examples will be shown, using different kind of functions for the nonhomogeneous part of the differential equations.

Keywords: Education, Ordinary differential equations, Resonance, geogebra

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2 Clinical Supervisors Experience of Supervising Nursing Students from a Higher Education Institution

Authors: P. Martin, J. Magerman


Nursing students' clinical abilities is highly dependent on the quality of the clinical experience obtained while placed in the clinical environment. The clinical environment has amongst other, key role players which include the clinical supervisor. The primary role of the clinical supervisor is to guide nursing students to become the best practice nursing professionals. However, globally literature alludes to the failure of educating institutions to deliver competent nursing professionals to meet the needs of patients and deliver quality patient care. At the participating university, this may be due to various factors such as large student numbers and social and environmental challenges experienced by clinical supervisors. The aim of this study was to explore and describe the lived experiences of clinical supervisors who supervise nursing students at a higher education institution. The study employed a qualitative research approach utilizing a descriptive phenomenological design. Purposive sampling was used to select participants, who supervised first and second year nursing studnets at the higher education institution under study. TH esample comprised of eight clinical supervisors who supervise first and secon year nursing studnets at teh institution under study. Data was collected by means of in-depht interviews. Data was analysed using Collaizzi's seven steps method of qualitative analysis. Five major themes identified , focussed on the experiences regarding time a sa constraint to job productivity, the impact of teh organisational culture on the fluidity of support, interpersonal relationships a sa dynamic communication process, impact on the self, and limited resources. Trustworthiness of the data was ensured by means of applying Guba's model of truth value, applicability, consistency and neutrality. Reflexivity was also used by the researcher to further enhance trustworthiness.

Keywords: nursing students, clinical supervision, clinical supervisors, clinical placements

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1 Optimization of Smart Beta Allocation by Momentum Exposure

Authors: J. B. Frisch, D. Evandiloff, P. Martin, N. Ouizille, F. Pires


Smart Beta strategies intend to be an asset management revolution with reference to classical cap-weighted indices. Indeed, these strategies allow a better control on portfolios risk factors and an optimized asset allocation by taking into account specific risks or wishes to generate alpha by outperforming indices called 'Beta'. Among many strategies independently used, this paper focuses on four of them: Minimum Variance Portfolio, Equal Risk Contribution Portfolio, Maximum Diversification Portfolio, and Equal-Weighted Portfolio. Their efficiency has been proven under constraints like momentum or market phenomenon, suggesting a reconsideration of cap-weighting.
 To further increase strategy return efficiency, it is proposed here to compare their strengths and weaknesses inside time intervals corresponding to specific identifiable market phases, in order to define adapted strategies depending on pre-specified situations. 
Results are presented as performance curves from different combinations compared to a benchmark. If a combination outperforms the applicable benchmark in well-defined actual market conditions, it will be preferred. It is mainly shown that such investment 'rules', based on both historical data and evolution of Smart Beta strategies, and implemented according to available specific market data, are providing very interesting optimal results with higher return performance and lower risk.
 Such combinations have not been fully exploited yet and justify present approach aimed at identifying relevant elements characterizing them.

Keywords: combinations, smart beta, minimum variance portfolio, equal risk contribution portfolio, maximum diversification portfolio, equal weighted portfolio

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