Polyhedral functions provide a model for an important class of problems that includes both linear programming and applications in data analysis. General methods for minimizing such functions using the polyhedral geometry explicitly are developed. Such methods approach a minimum by moving from extreme point to extreme point along descending edges and are described generically as simplicial. The best-known member of this class is the simplex method of linear programming, but simplicial methods have found important applications in discrete approximation and statistics. (...) The general approach considered in this text, first published in 2001, has permitted the development of finite algorithms for the rank regression problem. The key ideas are those of developing a general format for specifying the polyhedral function and the application of this to derive multiplier conditions to characterize optimality. Also considered is the application of the general approach to the development of active set algorithms for polyhedral function constrained problems and associated Lagrangian forms. (shrink)

(2013). An Empirical Study: To What Extent and In What Ways Does Social Foundations of Education Inform Four Teachers’ Educational Beliefs and Classroom Practices? Educational Studies: Vol. 49, No. 6, pp. 540-563.

In the mid-twentieth century American architectural journals, including Architectural Forum, Architectural Record, and Progressive Architecture, routinely ran features on the state of contemporary church architecture in the United States. Rapid suburban expansion and the revival of religious life in the post-Depression, postwar era generated tremendous amounts of construction, with a great deal of work available for architects. This article examines the concerns and hopes of modernist editors in the 1940s–1960s, as they sought to stabilize a “direction” for church architecture. Specifically, (...) it examines the role of the architectural press as the self-established gatekeepers for acceptable church design, and their relationship with theologians, liturgists, and building commissions within the Catholic Church. Questions of authority and expertise lay behind the stark assertions commonplace in these discussions. Editors, generally not themselves Catholic, used their professional positions to weigh in on hot debates within the Catholic Church over the purpose of a church building, the relationship of the Church to modernity, and the appropriateness of new materials and engineering techniques. (shrink)

This essay argues that Catholic (magisterial) social teaching's division of ethics into public and private creates a structural lacuna which makes it almost impossible to envision a truly just situation for migrant domestic careworkers (MDCs) within the current horizon of Catholic social thought. Drawing on a variety of sociological studies, I conclude that it is easy for MDCs to “disappear” between two countries, two families, and, finally, two sets of ethical norms. If the magisterium genuinely wishes Catholic ethicists to address (...) the plight of these migrant women, normative Catholic social teaching must pay more attention to household sociological realities and more fully absorb the feminist critique of the sharp line between the public and the private, between care and paid work. (shrink)

This article presents the Pilgrimage Model as a template for educators wishing to lead students on site-specific studies of engaged learning. During the 2015–2016 academic year, a group of Georgeto...

1 Evidence-based policy requires researchers to provide the answers to ecological questions that are of interest to policy makers. To find out what those questions are in the UK, representatives from 28 organizations involved in policy, together with scientists from 10 academic institutions, were asked to generate a list of questions from their organizations. 2 During a 2-day workshop the initial list of 1003 questions generated from consulting at least 654 policy makers and academics was used as a basis for (...) generating a short list of 100 questions of significant policy relevance. Short-listing was decided on the basis of the preferences of the representatives from the policy-led organizations. 3 The areas covered included most major issues of environmental concern in the UK, including agriculture, marine fisheries, climate change, ecosystem function and land management. 4 The most striking outcome was the preference for general questions rather than narrow ones. The reason is that policy is driven by broad issues rather than specific ones. In contrast, scientists are frequently best equipped to answer specific questions. This means that it may be necessary to extract the underpinning specific question before researchers can proceed. 5 Synthesis and applications. Greater communication between policy makers and scientists is required in order to ensure that applied ecologists are dealing with issues in a way that can feed into policy. It is particularly important that applied ecologists emphasize the generic value of their work wherever possible. (shrink)

Is the United States "the land of equal opportunity" or is the playing field tilted in favor of those whose parents are wealthy, well educated, and white? If family background is important in getting ahead, why? And if the processes that transmit economic status from parent to child are unfair, could public policy address the problem? Unequal Chances provides new answers to these questions by leading economists, sociologists, biologists, behavioral geneticists, and philosophers.New estimates show that intergenerational inequality in the United (...) States is far greater than was previously thought. Moreover, while the inheritance of wealth and the better schooling typically enjoyed by the children of the well-to-do contribute to this process, these two standard explanations fail to explain the extent of intergenerational status transmission. The genetic inheritance of IQ is even less important. Instead, parent-offspring similarities in personality and behavior may play an important role. Race contributes to the process, and the intergenerational mobility patterns of African Americans and European Americans differ substantially.Following the editors' introduction are chapters by Greg Duncan, Ariel Kalil, Susan E. Mayer, Robin Tepper, and Monique R. Payne; Bhashkar Mazumder; David J. Harding, Christopher Jencks, Leonard M. Lopoo, and Susan E. Mayer; Anders Björklund, Markus Jäntti, and Gary Solon; Tom Hertz; John C. Loehlin; Melissa Osborne Groves; Marcus W. Feldman, Shuzhuo Li, Nan Li, Shripad Tuljapurkar, and Xiaoyi Jin; and Adam Swift. (shrink)

Art is without doubt a powerful agent in determining how nature appears to us. Andrew Forge describes seeing tree leaves in sunlight, and ‘thinking Pissarro’. ‘I am wrapped round by Impressionism and the leaves look like brush strokes’. To Harold Osborne, once one has been impressed by Van Gogh's painting of certain objects, ‘it is difficult ever again to see the objects uninfluenced by Van Gogh's vision of them’.

Valéry, P. The idea of art.--Sartre, J.-P. The work of art.--Ingarden, R. Artistic and aesthetic values.--Merleau-Ponty, M. Eye and mind.--Moore, G. E. Wittgenstein's lectures in 1930-33.--Findlay, J. N. The perspicuous and the poignant.--Hungerland, I. C. Once again, aesthetic and non-aesthetic.--Wollheim, R. On drawing an object.--Elliott, R. K. Aesthetic theory and the experience of art.--Savile, A. The place of invention in the concept of art.--Bibliography (p. [178]-184).