title: Good lattice rules based on the general weighted star discrepancy

authors: Sinescu, Vasile

subjects: mathematics

abstract: We study the problem of constructing rank-  lattice rules which have good bounds on the ``weighted star discrepancy''. Here the non-negative weights are general weights rather than the product weights considered in most earlier works. In order to show the existence of such good lattice rules, we use an averaging argument, and a similar argument is used later to prove that these lattice rules may be obtained using a component-by-component (CBC) construction of the generating vector. Under appropriate conditions on the weights, these lattice rules satisfy strong tractability bounds on the weighted star discrepancy. Particular classes of weights known as ``order-dependent'' and ``finite-order'' weights are then considered and we show that the cost of the construction can be very much reduced for these two classes of weights.

text: Good lattice rules based on the general weighted star discrepancy We study the problem of constructing rank-  lattice rules which have good bounds on the ``weighted star discrepancy''. Here the non-negative weights are general weights rather than the product weights considered in most earlier works. In order to show the existence of such good lattice rules, we use an averaging argument, and a similar argument is used later to prove that these lattice rules may be obtained using a component-by-component (CBC) construction of the generating vector. Under appropriate conditions on the weights, these lattice rules satisfy strong tractability bounds on the weighted star discrepancy. Particular classes of weights known as ``order-dependent'' and ``finite-order'' weights are then considered and we show that the cost of the construction can be very much reduced for these two classes of weights.

year: 2007-04

title: From competition and conversion to co-operation and conversation: Dynamics of Christian-Muslim engagement

authors: Pratt, Douglas

subjects: religion

abstract: Two books, Islam & the West Post 9/11 and Islam and the West: reflections from Australia, cover a range of theoretical issues, regional-specific topics and case studies that explore issues related to the theme of Islam and the West. These are but two in a great flood of publications. Interest in contemporary Islam is high. The stakes are high. If global warming is a cause for concern, the idea of an interreligious meltdown between Islam and Christianity – which between them encompass the majority of the entire population of the globe – cannot be lightly brushed aside, given today the upsurge in ‘fundamentalist’ (I use this expression cautiously) ideologies and related assertive, even terrorist, activities. But there are two other recent books which argue, in effect, that a meltdown is by no means inevitable, and that, indeed, the prospect for friendship between the peoples of these two great religions is eminently possible and supremely to be desired.

text: From competition and conversion to co-operation and conversation: Dynamics of Christian-Muslim engagement Two books, Islam & the West Post 9/11 and Islam and the West: reflections from Australia, cover a range of theoretical issues, regional-specific topics and case studies that explore issues related to the theme of Islam and the West. These are but two in a great flood of publications. Interest in contemporary Islam is high. The stakes are high. If global warming is a cause for concern, the idea of an interreligious meltdown between Islam and Christianity – which between them encompass the majority of the entire population of the globe – cannot be lightly brushed aside, given today the upsurge in ‘fundamentalist’ (I use this expression cautiously) ideologies and related assertive, even terrorist, activities. But there are two other recent books which argue, in effect, that a meltdown is by no means inevitable, and that, indeed, the prospect for friendship between the peoples of these two great religions is eminently possible and supremely to be desired.

year: 2006-12

title: Māori and Pacific language data in linguistics classes

authors: Barbour, Julie Renee

abstract: Māori and Pacific language data rarely appears in introductory linguistic text books. In a discipline with a dearth of Māori and Pacific scholars, there is an opportunity to reflect on our teaching materials and consider ways in which we can make our classes more inclusive spaces. In this presentation, we share some of the materials and associated activities that we incorporate into undergraduate linguistics classes, in an effort to make our disciplinary content more attractive to students who join our classes with a variety of heritage languages.

text: Māori and Pacific language data in linguistics classes Māori and Pacific language data rarely appears in introductory linguistic text books. In a discipline with a dearth of Māori and Pacific scholars, there is an opportunity to reflect on our teaching materials and consider ways in which we can make our classes more inclusive spaces. In this presentation, we share some of the materials and associated activities that we incorporate into undergraduate linguistics classes, in an effort to make our disciplinary content more attractive to students who join our classes with a variety of heritage languages.

year: 2023