Periodic points for good reduction maps on curves

The periodic points of a morphism of good reduction for a smooth projective curve with good reduction over the p-adics form a discrete set. This is used to give an interpretation of the morphic height in terms of asymptotic properties of periodic points, and a morphic analogue of Jensen's formula

Young children suffering, or likely to suffer, significant harm : experiences on entering education

Since 2005, the Centre for Child and Family Research, Loughborough University has been tracing the decision-making process influencing the life pathways of a cohort of very young children who were identified as suffering, or likely to suffer, significant harm before they reached their first birthdays. The overall objective of the research is to collect evidence which supports decisions concerning which children require permanent out of home placements (such as adoption) and those that can safely remain with their birth parents

Rock Water Life: Ecology and humanities for a decolonial South Africa

No abstract

Evolving collective behavior in an artificial ecology

Collective behavior refers to coordinated group motion, common to many animals. The dynamics of a group can be seen as a distributed model, each “animal” applying the same rule set. This study investigates the use of evolved sensory controllers to produce schooling behavior. A set of artificial creatures “live” in an artificial world with hazards and food. Each creature has a simple artificial neural network brain that controls movement in different situations. A chromosome encodes the network structure and weights, which may be combined using artificial evolution with another chromosome, if a creature should choose to mate. Prey and predators coevolve without an explicit fitness function for schooling to produce sophisticated, nondeterministic, behavior. The work highlights the role of species’ physiology in understanding behavior and the role of the environment in encouraging the development of sensory systems

Spatial Filtering Pipeline Evaluation of Cortically Coupled Computer Vision System for Rapid Serial Visual Presentation

Rapid Serial Visual Presentation (RSVP) is a paradigm that supports the application of cortically coupled computer vision to rapid image search. In RSVP, images are presented to participants in a rapid serial sequence which can evoke Event-related Potentials (ERPs) detectable in their Electroencephalogram (EEG). The contemporary approach to this problem involves supervised spatial filtering techniques which are applied for the purposes of enhancing the discriminative information in the EEG data. In this paper we make two primary contributions to that field: 1) We propose a novel spatial filtering method which we call the Multiple Time Window LDA Beamformer (MTWLB) method; 2) we provide a comprehensive comparison of nine spatial filtering pipelines using three spatial filtering schemes namely, MTWLB, xDAWN, Common Spatial Pattern (CSP) and three linear classification methods Linear Discriminant Analysis (LDA), Bayesian Linear Regression (BLR) and Logistic Regression (LR). Three pipelines without spatial filtering are used as baseline comparison. The Area Under Curve (AUC) is used as an evaluation metric in this paper. The results reveal that MTWLB and xDAWN spatial filtering techniques enhance the classification performance of the pipeline but CSP does not. The results also support the conclusion that LR can be effective for RSVP based BCI if discriminative features are available

A development training support model for entrepreneurs in South Africa

Recent years have seen the decline of entrepreneurial activity in South Africa. This is especially concerning in that, officially, 27.7% of South Africans are unemployed. The unofficial unemployment figures are closer to 50%. The South African economy is battling to recover from the world economic crisis of 2009/10, putting pressure on government to alleviate growing unemployment and curtail social unrest. Furthermore, a South African economy which thrives on entrepreneurial activity will become more competitive from a global perspective. The purpose of this study is to contribute to the promotion and development of entrepreneurship in South Africa, in an effort to combat the problems listed above. In order to achieve this purpose, the objective was to develop and test a model which could be used in the development of entrepreneurs. The rationale is that, if the factors which affect entrepreneurship could be identified and tested, then recommendations could be made which could promote the development of entrepreneurs in South Africa. The approach was as follows: Perform a literature review which would cover both global and local (South African) approaches to developmental training for entrepreneurs; Develop a theoretical model comprising of identified factors which formed the base for the data collection; Develop a measuring instrument to test the relationships described in the theoretical model empirically; • Empirically test the proposed model and suggested hypotheses by means of sourcing data from entrepreneurs in South Africa and statistically analyse the sourced data; Formulate the final theoretical model to support the research objectives; and Propose recommendations based on the results of the statistical analysis. The focus of the literature study was on two main areas: trends in global developmental training, and South African initiatives to stimulate developmental training of entrepreneurs. The literature on global entrepreneurial development highlights two distinct categories for entrepreneurial development: 1) entrepreneurial education and 2) entrepreneurial training. The literature study concerning South African methodologies for developmental training for entrepreneurs, focused on current methods employed and highlighted areas on which improvements should be concentrated. From the literature study on both global and South African developmental training methods, ten independent variables (entrepreneurial culture; socio-emotional attributes; acquiring business skills; industry experience; opportunity identification; regulatory barriers; economic barriers; outside advice; formal training and informal training were identified as factors affecting entrepreneurial developmental training. All the variables were hypothesised as they were perceived to influence significantly the dependent variables: perceived global success as an entrepreneur and perceived individual success as an entrepreneur. These factors, clearly defined and operationalised, were structured in a questionnaire which was sent randomly to South African business owners. Data were collected from 332 respondents and subjected to various statistical analysis techniques. Firstly, Exploratory Factor Analysis (EFA) was conducted to assess the discriminant validity of the research instrument. Secondly, Cronbach’s alpha coefficients were calculated for each of the identified factors to confirm the reliability of the research instrument. The significance of the hypothesised relationships in the revised model were then tested by using the statistical technique known as Structural Equation Modelling (SEM) This study contributed to this specific field of knowledge