title: Models for the 3D Singular Isotropic Oscillator Quadratic Algebra

authors: Kalnins, Ernie G.

subjects: Science & Technology

abstract: We give the first explicit construction of the quadratic algebra for a 3D quantum superintegrable system with nondegenerate (4-parameter) potential together with realizations of irreducible representations of the quadratic algebra in terms of differential—differential or differential—difference and difference—difference operators in two variables. The example is the singular isotropic oscillator. We point out that the quantum models arise naturally from models of the Poisson algebras for the corresponding classical superintegrable system. These techniques extend to quadratic algebras for superintegrable systems in n dimensions and are closely related to Hecke algebras and multivariable orthogonal polynomials.

text: Models for the 3D Singular Isotropic Oscillator Quadratic Algebra We give the first explicit construction of the quadratic algebra for a 3D quantum superintegrable system with nondegenerate (4-parameter) potential together with realizations of irreducible representations of the quadratic algebra in terms of differential—differential or differential—difference and difference—difference operators in two variables. The example is the singular isotropic oscillator. We point out that the quantum models arise naturally from models of the Poisson algebras for the corresponding classical superintegrable system. These techniques extend to quadratic algebras for superintegrable systems in n dimensions and are closely related to Hecke algebras and multivariable orthogonal polynomials.

year: 2010-02-01

title: Trails of experiences: Navigating personal memories

authors: Schweer, Andrea

subjects: Autobiographical Memory

abstract: Systems to augment personal information aim to support people in remembering both past experiences and specific information associated with past experiences. These types of information go beyond those supported in systems for Personal Information Management, making it necessary to develop new user interface and interaction techniques. Our approach is based on characteristics of human memory. Its major contribution is the combination of a graph-based data model with navigation mechanisms based on various types of context and on associations.

text: Trails of experiences: Navigating personal memories Systems to augment personal information aim to support people in remembering both past experiences and specific information associated with past experiences. These types of information go beyond those supported in systems for Personal Information Management, making it necessary to develop new user interface and interaction techniques. Our approach is based on characteristics of human memory. Its major contribution is the combination of a graph-based data model with navigation mechanisms based on various types of context and on associations.

year: 2009

title: Donna Awatere on Whiteness in New Zealand: Theoretical Contributions and Contemporary Relevance

authors: Norris, Adele N.

abstract: In June 2022, Prime Minister Jacinda Ardern designated the US-based neofascist groups The Base and the Proud Boys as terrorist organisations. This designation marks one of the few times white supremacy entered the national political discourse in New Zealand. Discourses of whiteness are mostly theorised in the North American context. However, Donna Awatere’s 1984 examination of White Cultural Imperialism (WCI) in her book Māori Sovereignty advanced an analysis of whiteness in New Zealand that has received limited scholarly attention and is essentially unexplored. This paper reintroduces Awatere’s conceptualisation of WCI. It offers core tenets of WCI and theoretical insights into contemporary discussions of white supremacy that move beyond the focus of individuals and groups to a broader national framework of New Zealand. Two interrelated features of WCI, as defined by Awatere, are the minimisation and normalisation of whiteness and white racial hostility –  inherent features that maintain, protect, and reproduce the white institutionalised body as the primary beneficiary of Western European domination that will always thwart Indigenous sovereignty and equality. This paper concludes that Awatere’s articulation of WCI links whiteness in the New Zealand context to the broader network of global white supremacy that offers insight into contemporary criminal justice scholarship.

text: Donna Awatere on Whiteness in New Zealand: Theoretical Contributions and Contemporary Relevance In June 2022, Prime Minister Jacinda Ardern designated the US-based neofascist groups The Base and the Proud Boys as terrorist organisations. This designation marks one of the few times white supremacy entered the national political discourse in New Zealand. Discourses of whiteness are mostly theorised in the North American context. However, Donna Awatere’s 1984 examination of White Cultural Imperialism (WCI) in her book Māori Sovereignty advanced an analysis of whiteness in New Zealand that has received limited scholarly attention and is essentially unexplored. This paper reintroduces Awatere’s conceptualisation of WCI. It offers core tenets of WCI and theoretical insights into contemporary discussions of white supremacy that move beyond the focus of individuals and groups to a broader national framework of New Zealand. Two interrelated features of WCI, as defined by Awatere, are the minimisation and normalisation of whiteness and white racial hostility –  inherent features that maintain, protect, and reproduce the white institutionalised body as the primary beneficiary of Western European domination that will always thwart Indigenous sovereignty and equality. This paper concludes that Awatere’s articulation of WCI links whiteness in the New Zealand context to the broader network of global white supremacy that offers insight into contemporary criminal justice scholarship.

year: 2023-07-27