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2006

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Department Of Mathematical Sciences Newsletter, Summer 2006, University Of Montana--Missoula. Department Of Mathematical Sciences Jul 2006

Department Of Mathematical Sciences Newsletter, Summer 2006, University Of Montana--Missoula. Department Of Mathematical Sciences

Newsletters from the Department of Mathematical Sciences at UM

Reflections on NCUWM / Anita Sindelar -- The Undergraduate Mathematics Scholars Program / Mark Kayll -- Chair’s Notes / David Patterson -- Graduate Summer Research Awards / Karel Stroethoff -- Successful New Seminar / Aaron Luttman -- UM’s Presence at SIU-E Function Spaces Conference / Aaron Luttman -- Alumni News -- Honor Roll of Donors -- Degree Recipients -- Student Profile: Cody Ray / John Bardsley -- 2006 Mathematics Scholarships & Awards -- Math Club Corner / Jon Graham


Nimbus (Summer 2006), New College Alumnae/I Association Jul 2006

Nimbus (Summer 2006), New College Alumnae/I Association

Alumnae/i Association Collection

No abstract provided.


Perception Precedes Computation: Can Familiarity Preferences Explain Apparent Calculation By Human Babies?, David S. Moore, Laura A. Cocas Jul 2006

Perception Precedes Computation: Can Familiarity Preferences Explain Apparent Calculation By Human Babies?, David S. Moore, Laura A. Cocas

Pitzer Faculty Publications and Research

Two studies of 5-month-old infants explored whether a phenomenon reported by K. Wynn (1992) reflects a familiarity preference instead of a mathematical competence. Experiment 1 was a conceptual replication of Wynn's study. When data were analyzed with the relatively liberal statistical approach used by Wynn, the original phenomenon was replicated. However, an analysis of variance revealed that girls and boys behaved in different ways, and that boys did not behave as Wynn would have predicted. Experiment 2 was identical to Experiment 1, with one exception that should not have influenced computation: Infants in this study were completely familiarized with the …


Tunneling Across A Ferroelectric, Evgeny Y. Tsymbal, Hermann Kohlstedt Jul 2006

Tunneling Across A Ferroelectric, Evgeny Y. Tsymbal, Hermann Kohlstedt

Evgeny Tsymbal Publications

Spontaneously polarized materials through which electrons pass by tunneling may be used in novel electronic devices and may reveal new basic physics at the nanometer scale.


American Society Of Parasitologists Newsletter, V. 28, No. 2, Late Spring 2006., Scott Lyell Gardner Jul 2006

American Society Of Parasitologists Newsletter, V. 28, No. 2, Late Spring 2006., Scott Lyell Gardner

American Society of Parasitologists: Newsletter

An issue of the American Society of Parasitologists' quarterly newsletter, also called the Journal of Parasitology Newsletter.


Just What Do You “Mean”?, Myrna L. Bornemeier Jul 2006

Just What Do You “Mean”?, Myrna L. Bornemeier

Department of Mathematics: Master of Arts in Teaching, Exam Expository Papers

In Ancient Greece the Pythagoreans were interested in three means. The means were the arithmetic, geometric, and harmonic. The arithmetic mean played an important role in the observations of Galileo. Along with the arithmetic mean, the geometric and harmonic mean (formerly known as the subcontrary mean) are said to be instrumental in the development of the musical scale. As we explore the three Pythagorean Means we will discover their unique qualities and mathematical uses for helping us solve problems.


Wmi Outdoor News Bulletin * July 2006, Volume 60, No. 7 Jul 2006

Wmi Outdoor News Bulletin * July 2006, Volume 60, No. 7

Wildlife Management Institute Outdoor News Bulletin

Contents:

New refuge policies finally make it across the finish line

USDA creates NRCS Agricultural Wildlife Conservation Center

NRCS assists woodcock restoration in the Northeast

More on 72nd Conference Special Sessions

Global warming is culprit in western forest fires?

ONB survey

Worth reading: Of Mice and Mountain Lions: The Adventures of a Wildlife Biologist


Area And Perimeter Of Polygons, Bryan Engelker Jul 2006

Area And Perimeter Of Polygons, Bryan Engelker

Department of Mathematics: Master of Arts in Teaching, Exam Expository Papers

A student comes to class excited. She tells you she has figured out a theory you never told the class. She says she has discovered that as the perimeter of a closed figure increases, the area also increases. She shows you two pictures to prove what she is doing. The first picture is of a 4 by 4 square. Of course, its perimeter is 16 and its area is 16. The second picture is of a 4 by 8 rectangle. Here the perimeter is 24 and the area is 32. What do you say to the student?


The Art Gallery Question, Vicki Sorensen Jul 2006

The Art Gallery Question, Vicki Sorensen

Department of Mathematics: Master of Arts in Teaching, Exam Expository Papers

MAT question Suppose you have an arbitrary room in an art gallery with v corners, and you wanted to set up a security system consisting of cameras placed at some of the corners so that each point in the room can be seen by one of the cameras. How many cameras do we need? (See the example at right for a possible room with an interesting shape.)


Nonlinearity Management In Optics: Experiment, Theory, And Simulation, Martin Centurion, Mason A. Porter, P. G. Kevrekidis, Demetri Psaltis Jul 2006

Nonlinearity Management In Optics: Experiment, Theory, And Simulation, Martin Centurion, Mason A. Porter, P. G. Kevrekidis, Demetri Psaltis

Martin Centurion Publications

We conduct an experimental investigation of nonlinearity management in optics using femtosecond pulses and layered Kerr media consisting of glass and air. By examining the propagation properties over several diffraction lengths, we show that wave collapse can be prevented. We corroborate these experimental results with numerical simulations of the (2 + 1)-dimensional focusing cubic nonlinear Schrödinger equation with piecewise constant coefficients and a theoretical analysis of this setting using a moment method.


Stochastic Propagation Modeling And Early Detection Of Malicious Mobile Code, Xin Xu Jul 2006

Stochastic Propagation Modeling And Early Detection Of Malicious Mobile Code, Xin Xu

Doctoral Dissertations

Epidemic models are commonly used to model the propagation of malicious mobile code like a computer virus or a worm. In this dissertation, we introduce stochastic techniques to describe the propagation behavior of malicious mobile code. We propose a stochastic infection-immunization (INIM) model based on the standard Susceptible-Infected-Removed (SIR) epidemic model, and we get an explicit solution of this model using probability generating function (pgf.). Our experiments simulate the propagation of malicious mobile code with immunization. The simulation results match the theoretical results of the model, which indicates that it is reliable to use INIM model to predict the propagation …


For Complex Intervals, Exact Range Computation Is Np-Hard Even For Single Use Expressions (Even For The Product), Martine Ceberio, Vladik Kreinovich, Guenter Mayer Jul 2006

For Complex Intervals, Exact Range Computation Is Np-Hard Even For Single Use Expressions (Even For The Product), Martine Ceberio, Vladik Kreinovich, Guenter Mayer

Departmental Technical Reports (CS)

One of the main problems of interval computations is to compute the range Y of the given function f(x1,...,xn) under interval uncertainty. Interval computations started with the invention of straightforward interval computations, when we simply replace each elementary arithmetic operation in the code for f with the corresponding operation from interval arithmetic. In general, this technique only leads to an enclosure for the desired range, but in the important case of single use expressions (SUE), in which each variable occurs only once, we get the exact range. Thus, for SUE expressions, there exists a feasible (polynomial-time) algorithm for computing the …


2005-2006 - Graduate Council Annual Report, College Of Graduate And Continuing Studies, East Tennessee State University Jul 2006

2005-2006 - Graduate Council Annual Report, College Of Graduate And Continuing Studies, East Tennessee State University

Graduate Council Agendas and Minutes

No abstract provided.


Assessment During The Early And Middle Years: Getting The Basics Right, Ken Rowe Jul 2006

Assessment During The Early And Middle Years: Getting The Basics Right, Ken Rowe

Student learning processes

Following a contextual introduction and a brief discussion of the fundamental importance of monitoring growth, this paper draws from emerging evidence-based research findings and ‘state-of-the art’ practice in assessment and reporting of students’ developmental and learning progress. The paper argues that the monitoring of individual progress over time requires both diagnostic and developmental assessments of such progress on well-constructed empirical scales (or quantitative ‘maps’) that are qualitatively described. The use of such ‘maps’ enables early detection of potential ‘risk factors’, and the monitoring of both individuals and groups across the years of schooling. Such ‘maps’ and their reporting products constitute …


Incorporating Policymaker Costs And Political Competition Into Rent-Seeking Games, R. Kenneth Godwin, Edward J. Lopez, Barry J. Seldon Jul 2006

Incorporating Policymaker Costs And Political Competition Into Rent-Seeking Games, R. Kenneth Godwin, Edward J. Lopez, Barry J. Seldon

Faculty Publications

We incorporate policymaker costs of supplying rents and variable intensities of competition among rent seekers into the standard rent-seeking game. By incorporating these aspects, the game has greater verisimilitude to the lobbying process. The first aspect captures the fact that in rent-seeking contests there is a positive probability that neither firm will obtain the rent. The second aspect captures the fact that firms seeking different rents still must compete for policymakers' resources. We find that lobbying expenditures, rent-seeking profits, and rent dissipation depend on the intensity of competition and the value of the rent relative to policymaker costs. For example, …


Scwds Briefs: Volume 22, Number 2 (July 2006 ) Jul 2006

Scwds Briefs: Volume 22, Number 2 (July 2006 )

Southeastern Cooperative Wildlife Disease Study: Publications

SCWDS BRIEFS
July 2006
USDA Publishes Final CWD Rule
Chronic Wasting Disease (CWD) Herd Certification Program and Interstate Movement of Farmed or Captive Deer
International Avian Influenza Conferences
Highly pathogenic avian influenza (HPAI) H5N1 viruses
HPAI H5N1
Two New NIH Grants & Three New Grad Students
Trypanosoma cruzi
Chagas disease (American trypanosomiasis)
Dr. Susan Little
Borrelia lonestari
Southern Tick- Associated Rash Illness (STARI)
Amblyomma americanum, the lone star tick
Dr. Michael Yabsley
Protozoal Epidemics Among Frogs in Georgia
Rana heckscheri
Perkinsus-like protozoan
Polymerase chain reaction (PCR)
Parasite & Disease Problems in Mourning Doves
West Nile virus
Ascardia columbae
Trichomonas gallinae …


Incorporating Qualitative Indicators To Support River Managers; Application Of Fuzzy Sets, J. A. E. B. Janssen, Jean-Luc De Kok, A. Y. Hoekstra, R. M. J. Schielen Jul 2006

Incorporating Qualitative Indicators To Support River Managers; Application Of Fuzzy Sets, J. A. E. B. Janssen, Jean-Luc De Kok, A. Y. Hoekstra, R. M. J. Schielen

International Congress on Environmental Modelling and Software

In evaluation of river management strategies it is generally difficult to deal with the loosely structured and uncertain information at hand. Due to the increasing number of interests and objectives involved in river management it becomes more important to find a way to deal with such information. This paper explores to what extent fuzzy set theory can help in the modelling of relations between river management measures and their effects. The authors conclude that fuzzy logic can provide a valuable contribution because of the relative transparency of the method, the possibility to include qualitative knowledge and the incorporation of uncertainty. …


An Optimal Control And Options Theory Approach To Forecasting And Managing Sustainable Systems, Y. Shastri, U. Diwekar Jul 2006

An Optimal Control And Options Theory Approach To Forecasting And Managing Sustainable Systems, Y. Shastri, U. Diwekar

International Congress on Environmental Modelling and Software

Sustainable management of the natural systems is essential in the presence of anthropogenic andnatural disasters. Fisher information based measure and hypothesis have been proposed to quantify the sustainabilityof natural systems, which are used in this work to formulate management objectives. Since uncertaintyis omnipresent in natural systems, its consideration is important. Real options theory deals extensively with therepresentation and forecasting of uncertainty. The options theory, with the Ito mean reverting process, is usedto represent uncertainty, and optimal control theory is used to derive time dependent decisions. The idea isimplemented on a three species predator-prey model. The results highlight the effect of …


Consistency Versus Optimality In Environmental Model Identification Under Uncertainty, T. Wagener, P. Dornsife, M. Clark Jul 2006

Consistency Versus Optimality In Environmental Model Identification Under Uncertainty, T. Wagener, P. Dornsife, M. Clark

International Congress on Environmental Modelling and Software

Current model identification strategies often have the objective of finding the model or model structure which provides the best performance in reproducing the observed response of a system at hand. Such a strategy typically favours more complex (bottom-up) models with a higher degree of freedom and thus larger flexibility. While this bias can be reduced through punishing models for being more complex, real advancements in our understanding with respect to appropriate system representations are made if we quantify the extent to which our model is consistent with the available data. In particular the idea of an optimal parameter set is …


Evaluation Of The Scale Dependence Of A Spatially-Explicit Hillslope Sediment Delivery Ratio Model, A. E. Kinsey-Henderson, D. A. Post Jul 2006

Evaluation Of The Scale Dependence Of A Spatially-Explicit Hillslope Sediment Delivery Ratio Model, A. E. Kinsey-Henderson, D. A. Post

International Congress on Environmental Modelling and Software

Approximately 90-95% of soil eroded on a hillslope is redeposited and does not enter a stream. However, sediment transport models such as SedNet require an estimate to be made of the actual delivery of sediment from a hillslope into a stream based on predictions of hillslope erosion. In a companion paper in this volume (Post et al. 2006) we have developed a spatially explicit hillslope delivery model based on travel time and applied it to erosion estimates (based on the Revised Universal Soil Loss Equation, RUSLE) for a small subcatchment of the Burdekin River, Weany Creek (13.5km2), at 5m grid …


Creating Advanced Fire-Spreading Models Using The Cd++ Toolkit, Gabriel Wainer Jul 2006

Creating Advanced Fire-Spreading Models Using The Cd++ Toolkit, Gabriel Wainer

International Congress on Environmental Modelling and Software

Recent research efforts focused on the creation of fire spreading models using Cellular models. The Cell-DEVS formalism and the CD++ toolkit allow the user to construct their applications using simple and more intuitive model specification, which can execute with high efficiency using a discrete event approach. It was shown that different environmental applications can be easily faced, allowing the study of complex problems through simulation. The use of formal base improves the development, checking and maintaining phases, facilitating the testing and reuse of their components. The utilization of a discrete event formalism such as these ones can provide better precision …


Ten Steps Applied To Development And Evaluation Of Process-Based Biogeochemical Models Of Estuaries, Barbara J. Robson, Ian T. Webster, David P. Hamilton, Terence Chan, Teemu Kokkonen Jul 2006

Ten Steps Applied To Development And Evaluation Of Process-Based Biogeochemical Models Of Estuaries, Barbara J. Robson, Ian T. Webster, David P. Hamilton, Terence Chan, Teemu Kokkonen

International Congress on Environmental Modelling and Software

The procedures involved in model development may be set out ten-step process, beginning with defining the purpose of the model and ending with evaluation of the appropriateness and utility of the completed model. This process, recently outlined by Jakerman et al. [2006], is often iterative as model development is a continuous process that refines and improves the indented capacity of the model. Here, we show how the ten steps of model development are relevant to process-based biogeochemical modeling of aquatic systems, using examples from two case studies: a model of phytoplankton succession and nutrient concentrations in the Swan-Canning Estuary (Western …


Optimal Regional Partitioning For Wildfire Risk Characterization, Paolo Fiorucci, F. Gaetani, R. Minciardi Jul 2006

Optimal Regional Partitioning For Wildfire Risk Characterization, Paolo Fiorucci, F. Gaetani, R. Minciardi

International Congress on Environmental Modelling and Software

The efficiency of fire prevention and fire-fighting organization are strictly related with the identification of the elementary Administrative Units, whose physical characteristics and number/quality of resources affect significantly the occurrence and the dynamics of the considered phenomenon. In fact, wildland fire risk is determined by several factors such as vegetation, local climate condition, topography, socio-economical aspects, and, of course, wildfire fighting available resources. A power law distribution can be used to represent the frequency-area relationship empirical wildfire data. Thus, it is possible to think of characterizing a region by its wildland fire regime, which can be defined by the power …


Nesting Genetic Algorithms To Solve A Robust Optimal Experimental Design Problem, Dirk J. W. De Pauw, Peter A. Vanrolleghem Jul 2006

Nesting Genetic Algorithms To Solve A Robust Optimal Experimental Design Problem, Dirk J. W. De Pauw, Peter A. Vanrolleghem

International Congress on Environmental Modelling and Software

When calibrating a (dynamic) model, one is often faced with a lack of information-rich data. Without such data, there is little hope in obtaining accurate parameter estimates. In order to improve the situation, optimal experimental design for parameter estimation (OED-PE) can be employed. The main drawback of the classical OED-PE methodology is that values for the model parameters need to be provided in order to obtain an optimal design. If the values of the model parameters are highly uncertain, robust OED-PE should be preferred, yielding a design which guarantees a certain information content given the parameter uncertainty. This approach adds …


Rainfall–Streamflow–Air Temperature Datasets (And Catchment Information) Available Internationally To Assist With Pub Decade Top-Down Modelling, B. F. W. Croke, I. G. Littlewood, D. A. Post Jul 2006

Rainfall–Streamflow–Air Temperature Datasets (And Catchment Information) Available Internationally To Assist With Pub Decade Top-Down Modelling, B. F. W. Croke, I. G. Littlewood, D. A. Post

International Congress on Environmental Modelling and Software

One of the purposes of the Top-Down modelling Working Group (TDWG) within the Prediction in Ungauged Basins (PUB) Initiative of the International Association of Hydrological Sciences (IAHS) is to use available data (including new datasets – e.g. remote sensing products) to test existing rainfall-runoff models and develop new models. As such, effort has been made to collate data for a wide variety of catchments distributed over the globe. The first datasets obtained are for the UK, USA and Australia, yielding a total of 830 catchments. This paper describes the datasets, and presents an example of data analysis techniques that are …


Moira-Plus: A Decision Support System For The Management Of Complex Fresh Water Ecosystems Contaminated By Radionuclides And Heavy Metals, Luigi Monte, Lars Håkanson, D. Hofman, John Brittain, Eduardo Gallego, Antonio Jimenez, Giacomo Angeli Jul 2006

Moira-Plus: A Decision Support System For The Management Of Complex Fresh Water Ecosystems Contaminated By Radionuclides And Heavy Metals, Luigi Monte, Lars Håkanson, D. Hofman, John Brittain, Eduardo Gallego, Antonio Jimenez, Giacomo Angeli

International Congress on Environmental Modelling and Software

The accidental release of radioactive substances into the environment leads to the necessity of applying suitable countermeasures for the restoration of the polluted environment. However, despite their obvious benefits, such interventions may result in detrimental effects of economic, ecological and social nature that must be carefully evaluated. MOIRA–PLUS is a PC-based user-friendly, Computerised Decision Support System (CDSS) that helps decision makers to choose optimal countermeasure strategies for different kinds of aquatic ecosystems and contamination scenarios. CDSS MOIRA-PLUS is based on: a) Validated models to evaluate the behaviour of radionuclides in contaminated water bodies and biota and to assess the effect …


A Multi-Objective Approach For Sustainable Municipal Solid Waste (Msw) Management, R. Minciardi, Massimo Paolucci, M. Robba, Roberto Sacile Jul 2006

A Multi-Objective Approach For Sustainable Municipal Solid Waste (Msw) Management, R. Minciardi, Massimo Paolucci, M. Robba, Roberto Sacile

International Congress on Environmental Modelling and Software

A multi-objective approach to sustainable Municipal Solid Waste (MSW) management is presented, with the aim of supporting the decisions about the optimal flows of solid waste to be sent to landfill, recycling and to the different treatment plants. To achieve this goal, an approach is proposed in which the decision makers (DMs) are interactively involved in the decision process, following the reference point methodology [Wierzbicki et al, 2002]. The method can be viewed as an integration/modification of techniques already introduced in the literature. The purpose of the DMs is to determine the various flows of the different materials in the …


The Role Of Artificial Neural Network Models In Developing A Regional Wastewater Reclamation Facility For Beaufort, Sc, Usa, Paul A. Conrads, Edwin Roehl, William Martello, Edward Saxon Jul 2006

The Role Of Artificial Neural Network Models In Developing A Regional Wastewater Reclamation Facility For Beaufort, Sc, Usa, Paul A. Conrads, Edwin Roehl, William Martello, Edward Saxon

International Congress on Environmental Modelling and Software

Beaufort and Jasper Counties are two rapidly growing coastal counties in South Carolina. According to the 2000 census, the region grew by 40 percent during the preceding 10 years. The population growth has increased the quantity of wastewater in the area. The Beaufort River is a complex tidal river system that is home to shellfish grounds, fisheries nursery habitats, and extensive recreation by the local community. The river also serves as receiving water for treated wastewater from military and civilian wastewater reclamation facilities (WRF). Although not uncommon for coastal areas, the river is on the South Carolina list of impaired …


Evaluation Of The Scale Dependence Of A Spatially-Explicit Hillslope Sediment Delivery Ratio Model, A. E. Kinsey-Henderson, D. A. Post Jul 2006

Evaluation Of The Scale Dependence Of A Spatially-Explicit Hillslope Sediment Delivery Ratio Model, A. E. Kinsey-Henderson, D. A. Post

International Congress on Environmental Modelling and Software

Approximately 90-95% of soil eroded on a hillslope is redeposited and does not enter a stream. However, sediment transport models such as SedNet require an estimate to be made of the actual delivery of sediment from a hillslope into a stream based on predictions of hillslope erosion. In a companion paper in this volume (Post et al. 2006) we have developed a spatially explicit hillslope delivery model based on travel time and applied it to erosion estimates (based on the Revised Universal Soil Loss Equation, RUSLE) for a small subcatchment of the Burdekin River, Weany Creek (13.5km2), at 5m grid …


Identification Of Alternatives Strengths And Weaknesses During The Conceptual Design Of Environmental Systems, Xavier Flores Alsina, Manel Poch, Laureano Jiménez, Rene Bañares-Alcántara, Ignasi Rodríguez Roda Jul 2006

Identification Of Alternatives Strengths And Weaknesses During The Conceptual Design Of Environmental Systems, Xavier Flores Alsina, Manel Poch, Laureano Jiménez, Rene Bañares-Alcántara, Ignasi Rodríguez Roda

International Congress on Environmental Modelling and Software

The objective of this paper is to present a systematic procedure to support environmental engineers during the evaluation of alternative options, identifying both, the strong and weak points of their decisions. The evaluation of alternative options in the design of environmental systems is complex because several objectives must be considered simultaneously (e.g. environmental, technical, economical, legal), i.e. the problem is multicriteria. The systematic procedure presented consists of three steps: 1) multicriteria decision analysis (MCDA), where the best alternative is selected among the most promising options by evaluating the degree of accomplishment of several design objectives; 2) sensitivity analysis, where multidimensional …