Deflation for semismooth equations

Variational inequalities can in general support distinct solutions. In this paper we study an algorithm for computing distinct solutions of a variational inequality, without varying the initial guess supplied to the solver. The central idea is the combination of a semismooth Newton method with a deflation operator that eliminates known solutions from consideration. Given one root of a semismooth residual, deflation constructs a new problem for which a semismooth Newton method will not converge to the known root, even from the same initial guess. This enables the discovery of other roots. We prove the effectiveness of the deflation technique under the same assumptions that guarantee locally superlinear convergence of a semismooth Newton method. We demonstrate its utility on various finite- and infinite-dimensional examples drawn from constrained optimization, game theory, economics and solid mechanics.Comment: 24 pages, 3 figure

Marketing and the Common Good: Implications of \u3cem\u3eCaritas in Veritate\u3c/em\u3e

This paper extends the authors’ previous work on applying Catholic Social Teachings to issues in marketing to the specific question of the common good. Approaches to studying the social impact of marketing and the challenge of adequately defining the common good are discussed. Attention is next given to key vectors of Catholic Social Teaching and their application to ethical issues in marketing. The focus of the analysis is on specific sections in Caritas in Veritate, Pope Benedict XVI’s recent encyclical devoted to providing principles for dealing with the ongoing global economic crisis. A discussion of how these principles might be applied to business and public policy follows. We close with an evaluation of this application

Siphonaptera Records and Host Associations From the Central and Eastern Upper Peninsula of Michigan

Fleas were collected from birds and mammals over a five year period in four upper peninsula counties. Identified specimens were compared to published records of distribution for the parasite species and its host species, and only those records which are new county distributions for host or parasite are listed. Four new host records for Michigan, four new flea distribution records for the upper peninsula, and 26 new county records are listed

Ethical Marketing: A Look on the Bright Side

This article offers an alternative to conventional approaches to ethical analysis in business and marketing. We submit that studying companies with exemplary records of ethical conduct and social responsibility offers useful and compelling guidance to marketing students and managers. It provides another needed perspective beyond simply examining examples of misconduct or offering normative advice that may not reflect the specifics of corporate situations. Based on examples presented in a recent text by the authors and Better Business Bureau Torch Awardees, we present information on thirteen companies of varying size and from several different industries. That information includes ethics policies, management practices, environmental practices, and company reputation. From these examples, we draw lessons that should offer ethical guidance to marketing managers

Ceramic composition at Chalcolithic Shiqmim, northern Negev desert, Israel: investigating technology and provenance using thin section petrography, instrumental geochemistry and calcareous nannofossils

Technological innovations in ceramic production and other crafts are hallmarks of the Chalcolithic period (4500–3600 BCE) in the southern Levant, but details of manufacturing traditions have not been fully investigated using the range of analytical methods currently available. This paper presents results of a compositional study of 51 sherds of ceramic churns and other pottery types from the Chalcolithic site of Shiqmim in the northern Negev desert. By applying complementary thin section petrography, instrumental geochemistry and calcareous nannofossil analyses, connections between the raw materials, clay paste recipes and vessel forms of the selected ceramic samples are explored and documented. The study indicates that steps in ceramic manufacturing can be related to both technological choices and local geology. Detailed reporting of the resulting data facilitates future comparative ceramic compositional research that is needed as a basis for testable regional syntheses and to better resolve networks of trade/exchange and social group movement

The pricing of water in a university town: An economic analysis of draining a cash cow

This paper analyzes some economic issues involved with the common practice of using metered water rate revenue to fund debt retirement associated with the provision of municipal water and wastewater services. We conclude that rather than simply raising the metered rate, city officials should seriously consider increasing the tax rate levied under the local property tax. There is an important trade-off in the choice of a price policy. An increased property tax rate can result in tax savings to some home owners, which lowers their net expenditure for water. However, a corresponding decrease in the metered rate may increase water consumption, which in turn raises operating cost. In order to do what is best for home owners, it might make sense to give other customers (e.g., a university) an easy ride, even if the latter, because of its low (inelastic) price elasticity of demand for water, is viewed by the municipality as a cash cow

Response of the lattice across the filling-controlled Mott metal-insulator transition of a rare earth titanate

The lattice response of a prototype Mott insulator, SmTiO3, to hole doping is investigated with atomic-scale spatial resolution. SmTiO3 films are doped with Sr on the Sm site with concentrations that span the insulating and metallic sides of the filling-controlled Mott metal-insulator transition (MIT). The GdFeO3-type distortions are investigated using an atomic resolution scanning transmission electron microscopy technique that can resolve small lattice distortions with picometer precision. We show that these distortions are gradually and uniformly reduced as the Sr concentration is increased without any phase separation. Significant distortions persist into the metallic state. The results present a new picture of the physics of this prototype filling-controlled MIT, which is discussed.Comment: Accepted, Phys. Rev. Let

Economic Analysis of Manure Harvesting Equipment in Feedyards for Dust Control

This study concentrated on one method of dust control which is harvesting manure with equipment. An economic analysis including hourly fixed and operational costs were performed on the following: tractor-pulled box scraper, front-end loader, dump truck, spreader truck, elevating scraper and tractor-pulled end dump. The purpose of this study was to generate cost data for feedyard owners/operators to reference when making manure management and equipment purchasing decisions.manure harvesting equipment, tractor-pulled box scraper, front-end loader, dump truck, spreader truck, tractor-pulled end dump, Agribusiness, Environmental Economics and Policy,

Economic Analysis of a Water Truck for Feedyard Dust Suppression

Dust created in feedyards can adversely affect cattle performance. Dust suppression can be accomplished by moistening pen surfaces with traveling gun(s) sprinklers, solid-set sprinklers, and water trucks. This study specifically addresses the fixed and operational costs associated with a water truck for various sized feedyards.water truck, dust suppression, fixed costs, operational costs, Farm Management, Livestock Production/Industries,