A Fractional Analog of the Duhamel Principle

Mathematics Subject Classification: 35CXX, 26A33, 35S10

Operational Methods in the Environment of a Computer Algebra System

This article presents the principal results of the doctoral thesis “Direct Operational Methods in the Environment of a Computer Algebra System” by Margarita Spiridonova (Institute of mathematics and Informatics, BAS), successfully defended before the Specialised Academic Council for Informatics and Mathematical Modelling on 23 March, 2009.

Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints

MSC 2010: 44A35, 35L20, 35J05, 35J25

Nonlocal Boundary Value Problems for Two-Dimensional Potential Equation on a Rectangle

Иван Димовски, Юлиан Цанков - Предложено е разширение на принципa на Дюамел. За намиране на явно решение на нелокални гранични задачи от този тип е развито операционно смятане основано върху некласическа двумерна конволюция. Пример от такъв тип е задачата на Бицадзе-Самарски.

Exact Solutions of Nonlocal Boundary Value Problems for One- and Two-Dimensional Heat Equation

Иван Хр. Димовски, Юлиан Ц. Цанков - Предложен е метод за намиране на явни решения на клас двумерни уравнения на топлопроводността с нелокални условия по пространствените променливи. Методът е основан на директно тримерно операционно смятане. Класическата дюамелова конволюция е комбинирана с две некласически конволюции за операторите ∂xx и ∂yy в една тримерна конволюция. Съответното операционно смятане използва мултипликаторни частни. Мултипликаторните частни позволяват да се продължи принципът на Дюамел за пространствените променливи и да се намерят явни решения на разглежданите гранични задачи. Общите разглеждания са приложени в случая на гранични условия от типа на Йонкин. Намерени са експлицитни решения в затворен вид.

Exact Solutions of Nonlocal BVPs for the Multidimensional Heat Equations

MSC 2010: 44A35, 44A45, 44A40, 35K20, 35K05

Complementarity and the uncertainty principle as aesthetic principles : the practice and performance of The Physics Project

Using the generative processes developed over two stages of creative development and the performance of The Physics Project at the Loft at the Creative Industries Precinct at the Queensland University of Technology (QUT) from 5th – 8th April 2006 as a case study, this exegesis considers how the principles of contemporary physics can be reframed as aesthetic principles in the creation of contemporary performance. The Physics Project is an original performance work that melds live performance, video and web-casting and overlaps an exploration of personal identity with the physics of space, time, light and complementarity. It considers the acts of translation between the language of physics and the language of contemporary performance that occur via process and form. This exegesis also examines the devices in contemporary performance making and contemporary performance that extend the reach of the performance, including the integration of the live and the mediated and the use of metanarratives.

Defending the sanctity of life principle : a reply to John Keown

This article is a response to Professor Keown’s criticism of my paper “Finding a Way Through the Ethical and Legal Maze: Withdrawal of Medical Treatment and Euthanasia” (2005) 13 (3) Medical Law Review 357. The article takes up and responds to a number of criticisms raised by Keown in an attempt to further the debate concerning the moral and legal status of withdrawing life-sustaining measures, its distinction from euthanasia, and the implications of the lawfulness of withdrawal for the principle of the sanctity of life.

Free software as a democratic principle

Software forms an important part of the interface between citizens and their government. An increasing amount of government functions are being performed, controlled, or delivered electronically. This software, like all language, is never value-neutral, but must, to some extent, reflect the values of the coder and proprietor. The move that many governments are making towards e-governance, and the increasing reliance that is being placed upon software in government, necessitates a rethinking of the relationships of power and control that are embodied in software.

The late discovery of adoptive and donor insemination offspring status : ethical implications for conceptual understandings of the ‘best interests of the child’ principle

Late discovery is a term used to describe the experience of discovering the truth of one’s genetic origins as an adult. Following discovery, late discoverers face a lack of recognition and acknowledgment of their concerns from family, friends, community and institutions. They experience pain, anger, loss, grief and frustration. This presentation shares the findings of the first qualitative study of both late discovery of adoptive and donor insemination offspring (heterosexual couple use only) experiences. It is also the first study of late discovery experiences undertaken from an ethical perspective. While this study recruited new participants, it also included an ethical re-analysis of existing late discovery accounts across both practices. The findings of this study (a) draws links between past adoption and current donor insemination (heterosexual couple only) practices, (b) reveals that late discoverers are demanding acknowledgment and recognition of the particularity of their experiences, and (c) offers insights into conceptual understandings of the ‘best interests of the child’ principle. These insights derive from the lived experiences of those whose biological and social worlds have been sundered and secrecy and denial of difference used to conceal this. It suggests that acknowledging the equal moral status of the child may be useful in strengthening conceptual understandings of the ‘best interests of the child’ principle. This equal moral status involves ensuring that personal autonomy and the ability to exercise free will is protected; that the integrity of the relationships of trust expected and demanded between parent/s and children is defended and supported; and that equal access to normative socio-cultural practices, that is; non-fictionalised birth certificates and open records, is guaranteed.

Metacognitive narrative psychotherapy for people diagnosed with schizophrenia : an outline of a principle-based treatment manual

Schizophrenia is often characterised by diminished self-experience. This article describes the development and principles of a manual for a psychotherapeutic treatment model that aims to enhance self-experience in people diagnosed with schizophrenia. Metacognitive Narrative Psychotherapy draws upon dialogical theory of self and the work of Lysaker and colleagues, in conjunction with narrative principles of therapy as operationalised by Vromans. To date, no manual for a metacognitive narrative approach to the treatment of schizophrenia exists. After a brief description of narrative understandings of schizophrenia, the development of the manual is described. Five general phases of treatment are outlined: (1) developing a therapeutic relationship; (2) eliciting narratives; (3) enhancing metacognitive capacity; (4) enriching narratives, and; (5) living enriched narratives. Proscribed practices are also described. Examples of therapeutic interventions and dialogue are provided to further explain the application of interventions in-session. The manual has been piloted in a study investigating the effectiveness of Metacognitive Narrative Psychotherapy in the treatment of people diagnosed with schizophrenia spectrum disorders.