Representing 3D shape and location

The 3D shape of an object and its 3D location have traditionally thought of as very separate entities, although both can be described within a single 3D coordinate frame. Here, 3D shape and location are considered as two aspects of a view-based approach to representing depth, avoiding the use of 3D coordinate frames.

Construction of the transcomplex numbers from the complex numbers

A geometrical construction of the transcomplex numbers was given elsewhere. Here we simplify the transcomplex plane and construct the set of transcomplex numbers from the set of complex numbers. Thus transcomplex numbers and their arithmetic arise as consequences of their construction, not by an axiomatic development. This simplifes transcom- plex arithmetic, compared to the previous treatment, but retains totality so that every arithmetical operation can be applied to any transcomplex number(s) such that the result is a transcomplex number. Our proof establishes the consistency of transcomplex and transreal arithmetic and establishes the expected containment relationships amongst transcomplex, complex, transreal and real numbers. We discuss some of the advantages the transarithmetics have over their partial counterparts.

The road not taken: observing a process of issue selection and model conceptualization

This article describes a case study involving information technology managers and their new programmer recruitment policy, but the primary interest is methodological. The processes of issue generation and selection and model conceptualization are described. Early use of “magnetic hexagons” allowed the generation of a range of issues, most of which would not have emerged if system dynamics elicitation techniques had been employed. With the selection of a specific issue, flow diagraming was used to conceptualize a model, computer implementation and scenario generation following naturally. Observations are made on the processes of system dynamics modeling, particularly on the need to employ general techniques of knowledge elicitation in the early stages of interventions. It is proposed that flexible approaches should be used to generate, select, and study the issues, since these reduce any biasing of the elicitation toward system dynamics problems and also allow the participants to take up the most appropriate problem- structuring approach.

A case study of the Tatweer school system in Saudi Arabia: the perceptions of leaders and teachers

School reform is a major concern in many countries that seek to improve their educational systems and enhance their performances. In consequence, many global schemes, theories, studies, attempts, and programmes have been introduced to promote education in recent years. Saudi Arabia is one of these countries that implemented educational change by introducing many initiatives. The Tatweer Programme is one of these initiatives and is considered as a major recent reform. The main purpose of this study is to investigate this reform in depth by examining the perceptions and experiences of the Tatweer leaders and teachers to find out which extent they have been enabled to be innovative, and to examine the types of leadership and decision-making that have been undertaken by such schools. This study adopted a qualitative case study that employed interviews, focus groups and documentary analysis. The design of the study has been divided into two phases; the first phase was the feasibility study and the second phase was the main study. The research sample of the feasibility study was head teachers, educational experts and Tatweer Unit’s members. The sample of the main study was three Tatweer schools, Tatweer Unit members and one official of Tatweer Project in Riyadh. The findings of this study identified the level of autonomy in managing the school; the Tatweer schools’ system is semi-autonomous when it comes to the internal management, but it lacks autonomy when it comes to staff appointment, student assessment, and curriculum development. In addition, the managerial work has been distributed through teams and members; the Excellence Team plays a critical role in school effectiveness leading an efficient change. Moreover, Professional Learning Communities have been used to enhance the work within Tatweer schools. Finally the findings show that there have been major shifts in the Tatweer schools’ system; the shifting from centralisation to semi-decentralisation; from the culture of the individual to the culture of community; from the traditional school to one focused on self-evaluation and planning; from management to leadership; and from an isolated school being open to society. These shifts have impacted positively on the attitudes of students, parents and staff.

Dynamical trust and reputation computation model for B2C E-Commerce

Trust is one of the most important factors that influence the successful application of network service environments, such as e-commerce, wireless sensor networks, and online social networks. Computation models associated with trust and reputation have been paid special attention in both computer societies and service science in recent years. In this paper, a dynamical computation model of reputation for B2C e-commerce is proposed. Firstly, conceptions associated with trust and reputation are introduced, and the mathematical formula of trust for B2C e-commerce is given. Then a dynamical computation model of reputation is further proposed based on the conception of trust and the relationship between trust and reputation. In the proposed model, classical varying processes of reputation of B2C e-commerce are discussed. Furthermore, the iterative trust and reputation computation models are formulated via a set of difference equations based on the closed-loop feedback mechanism. Finally, a group of numerical simulation experiments are performed to illustrate the proposed model of trust and reputation. Experimental results show that the proposed model is effective in simulating the dynamical processes of trust and reputation for B2C e-commerce.