Physical Sciences and Mathematics Commons^™

Report On Advances In The Field Of Artificial Intelligence Attributed To Captcha, Craig M. Schow

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

A CAPTCHA is a specialized human interaction proof that exploits gaps between human and computer recognition abilities. By design, the hardness of a CAPTCHA is based on the difficulty of advancing the underlying artificial intelligence [AI] technology to a level that eliminates any exploitable gap. Due to this fact computer scientists have concluded that the widespread use of CAPTCHA would accelerate research in the underlying fields of AI eventually leading to near-­‐human capabilities in certain AI systems. Despite these predictions no attempt has been made to identify advances in AI which can be attributed to the use of CAPTCHA.

The …

Algebraic Properties Of Killing Vectors For Lorentz Metrics In Four Dimensions, Jesse W. Hicks

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Four-dimensional space-times with symmetry play a central role in the theory of general relativity. In 1961, in the book Einstein Spaces, A.Z. Petrov gave a complete local classification of four-dimensional space-times based upon their local isometry group, that is, their Lie algebra of Killing vector fields. In this report we discuss algebraic and geometric properties of these Lie algebras. A database of these properties has been computed for the five-dimensional Lie algebras of Killing vectors found in Petrov. As an application of our work, we present dieomorphisms between a few pairs of these Lie algebras of Killing vectors.

Enhancing Inettest By Improving The Programming Question And Group Grading, Sushil Dosi

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

This report describes an improvement to the Utah State University iNetTest testing system. The iNetTest system allows instructors and/or students to: • Create/take tests with rich sets of question types (multiple choice, essay, true/false, computational programming question, etc.); • Monitor the test takers for cheating; • Auto-grade for many types of questions, as well as group grade for all question types; and • Send scores to students via either email or SMS. Specifically, this report discusses the design and development of an improved computational programming question for the iNetTest system. For programming questions, iNetTest allows for the use of various …

Modeling Phloem Temperatures Relative To Mountain Pine Beetle Phenology, Matthew Jared Lewis

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

We explore a variety of methods to estimate phloem temperatures from ambient air temperatures suitable for the mountain pine beetle, Dendroctonus ponderosae. A model's ability to induce the same phenology generated from observed phloem temperatures measures its effectiveness rather than a simple reconstruction of phloem temperatures. From a model's phenology results we are able to ascertain whether the model produces a similar amount of developmental energy exhibited by observed phloem temperatures.

Three models performed best: Newton, Newton South and Matching. The Newton model uses Newton's Law of Cooling to effectively estimate northern aspect phloem temperatures. The Newton South model …

Software For Analyzing Municipal Water Data To Design Water Conservation Strategies, Adrian Patton Welsh

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Planning for drought and growth-induced water scarcity is a challenge confronting municipal water departments. When water shortages occur, demand management policies and programs are often implemented to encourage water conservation. Due to the nature of water resources and municipal water delivery systems, cities are concerned about meeting citizens’ water needs. A city can review water billing records to see how much water people use, but how do they know how much water people need? Standards and guidelines have been established for indoor water use (gallons/person/day), but the amount of water needed to irrigate outdoor landscapes is more variable, highly contextualized, …

Dietary Patterns And Cognitive Decline In Aged Populations, Austin J. Bowles

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

In this paper, we discuss distinctive features of longitudinal studies, and illustrate two regression-based methods for the analysis of longitudinal data. A study of dietary patterns and cognitive decline (Cache County Memory Study) is used to motivate our discussion and analysis. Cognitive decline is a risk factor for Alzheimer’s disease, the sixth leading cause of all deaths among Americans. The study attempted to identify dietary patterns associated with reduced risk of age-related cognitive decline in elderly populations. Higher levels of adherence to the Dietary Approaches to Stop Hypertension (DASH) and/or Mediterranean diets were found to be associated with increased cognitive …

Stressors Across The Lifespan And Dementia Risk: A Statistical Method Analysis, Megan Platt Borrowman

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The Cache Lifespan Stressors and Alzheimer's Disease (LSAD) study has access to data from the Cache County Study on Memory Health and Aging (CCS) that have been linked to the extensive genealogical and vital records from the Utah Population Database (UPDB). Information about stressful life events experienced by the original 5092 CCS participants has been extracted objectively from the UPDB, without the possibility of recall bias. This information was then statistically analyzed to look for relationships between key stressors and dementia risk. The LSAD study made it possible to examine the correlation between stressors as well as look at patterns …

An Extendable Software Architecture For Massively Parallel Biological Simulation, Karthik Iyer

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Information technology has aided tremendously in the growth of the medical sciences industry. Tissue simulation is one such area wherein information technology aids in the field of medical science. This project focuses on defining, designing, and developing a computational architecture that performs repetitive and rigorous tissue simulation runs under different conditions and utilizes parallel computation.

The goal of this work is to demonstrate a parallel network-based architecture involving multiple clients interacting with a server that sends and receives voluminous data. The project assumes large memory capacity for the clients and the servers, but limits bandwidth requirements. The work demonstrates a …

Charm Web-Interface, Nirmal G. Tiwari

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

This project presents a web-based interface for Child Health Advanced Record Management System (CHARM) users that provides easy and fast access to child information from multiple data sources. This project’s overarching goal is to integrate child information from different participating programs under a single interface to allow any CHARM user (including users not belonging to any particular participating program) to view information from different participating programs. To that end, the interface allows any registered CHARM user to access child information from multiple data sources without the user being a registered member of any particular participating program. Thus, the user can …

A Merging System For Integrated Person-Centric Information Systems, Swati Jain

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Large-scale integrated information systems correlate equivalent or related information from multiple data sources to provide a unified view of data. This report describes the design and implementation of a tool called xMerger that provides a unified view from multiple matching records, which could be multi-source duplicates and overlapping records. To achieve this xMerger provides a merging process that generates a complete and accurate merged record from conflicting and incomplete records. This report also discusses the challenges present in the process of merging and xMerger’s solutions. xMerger’s design and implementation was validated by adapting it to CHARM, a real world integrated …

Creating A Representation Of Items And Version That Support Efficient Evaluation Of The Transaction-Time Axis In Xml-Based Databases, Kaylan Goutham Mekala

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

This project was developed to create a platform for implementing the features and query support provided by the transaction time axis (tt-axis). The basis for this platform is a new numbering plan called item version timestamp level numbering (IVTLN), and it extends an existing numbering plan, namely, dewey level numbering (DLN), by including version and timestamp information. Thus, the transaction time axis provides a temporal perspective for XML nodes in addition to non-temporal axes like the ancestor and descendant axes. This project provides an efficient, extensible, and comprehensible platform for the implementation of the new numbering plan and the services …

Collecting, Analyzing And Interpreting Bivariate Data From Leaky Buckets: A Project-Based Learning Unit, Florence Funmilayo Obielodan

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Despite the significance and the emphasis placed on mathematics as a subject and field of study, achieving the right attitude to improve students‟ understanding and performance is still a challenge. Previous studies have shown that the problem cuts across nations around the world, both developing countries and developed alike. Teachers and educators of the subject have responsibilities to continuously develop innovative pedagogical approaches that will enhance students‟ interests and performance. Teaching approaches that emphasize real life applications of the subject have become imperative. It is believed that this will stimulate learners‟ interest in the subject as they will be able …

Alternative Futures For The Upper Colorado River Ecosystem: Phase Ii, Temis G. Taylor

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Wildlife habitat and biodiversity in the Upper Colorado River Ecosystem are threatened by growth of urban areas, subdivision of rural lands, and exploitation of natural resources. The White-Yampa, Colorado Headwaters, and Gunnison River Watersheds within the region were investigated to discover areas supporting high biodiversity that would be possible candidates for conservation efforts by the U.S. Fish and Wildlife Service. Using an alternative futures planning process and principles of landscape ecology, development of energy of the resources in the region was found to be the primary driver for land use and impacts to wildlife habitat. Through application of geospatial modeling …

Climate Change And Community Dynamics: A Hierarchical Bayesian Model Of Resource-Driven Changes In A Desert Rodent Community, Glenda M. Yenni

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Predicting effects of climate change on species persistence often assumes that those species are responding to abiotic effects alone. However, biotic interactions between community members may affect species’ ability to respond to abiotic changes. Latent Gaussian models of resource availability using precipitation and NDVI and accounting for spatial autocorrelation and rodent group-level uncertainty in the process are developed to detect differences in seasons, groups, and the experimental removal of one group. Precipitation and NDVI have overall positive effects on rodent energy use as expected, but meaningful differences were detected. Differences in the importance of seasonality when the dominant group was …

Solving Equations Applet Project, Kimberly Thatcher

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The purpose of this paper is to summarize a Masters Project for the MMath Degree. The purpose of the project was to create and evaluate an applet that maintains the advantages of the existent manipulatives (Hands-On Equations® and the NLVM applet) while also overcoming the limitations of each. Another product of this project is accompanying lesson plans for teachers.

Mathematical Justification Of Introductory Hypothesis Tests And Development Of Reference Materials, Jennifer L. Loveland

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

This purpose of this project was to create a set of reference material for an introductory level statistics course. The focus was on the Neyman-Pearson approach to hypothesis testing. A brief historical development of the Neyman-Pearson approach is followed by mathematical proofs of each of the hypothesis tests covered in the reference material. The reference material includes the basic hypothesis tests taught in an introductory statistics course, the accompanying distributions, and prerequisite information.

Estimation Of Beta In A Simple Functional Capital Asset Pricing Model For High Frequency Us Stock Data, Yan Zhang

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

This project applies the methods of functional data analysis (FDA) to intra-daily returns of US corporations. It focuses on an extension of the Capital Asset Pricing Model (CAPM) to such returns. The CAPM is essentially a linear regression with the slope coefficient β. Returns of an asset are regressed on index return. We compare the estimates of β obtained for the daily and intra-daily returns. The variability of these estimates is assessed by two bootstrap methods. All computations are performed using statistical software R. Customized functions are developed to process the raw data, estimate the parameters and assess their variability. …

Do Fee-Access Hunting Programs Conserve Wildlife Habitat? A Case Study Of Utah's Cooperative Wildlife Management Unit Program, Adam L. Perschon

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Landscapes in the American West are undergoing dramatic changes as land-use patterns shift to accommodate the region’s explosive population growth. Trends toward low-density settlement patterns, or exurban development, compound the problem by consuming a disproportionately large amount of land compared to the population they support. The result is the rapid conversion of the West’s most highly productive agricultural and range lands, many of which provide benefits to biodiversity that surpass those found in permanently protected areas. Ruralists, ranchers, and conservationists alike are seeking ways to protect these ecologically important private lands from future development. One method purported to mitigate rural …

Charm Components Monitoring System (Ccms), Cemal Aktas

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Integrated systems need to be monitored regularly for operational problems such as network failures, loss of data, bottle necks, and other process failures. One of the best ways to monitor a system is through a graphical visualization of system activities. Humans are good at spotting patterns in graphic visualizations. This report describes a monitoring facility for integrated systems that can present wide range of graphics visualizations. As a proof of concept, it is implemented for the CHARM system, which is a distributed system used by the Utah Department of Health.

Ranking Score Vectors Of Tournaments, Sebrina Ruth Cropper

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Given , a tournament on vertices, Landau derived a method to determine how close is to being transitive or regular. This comparison is based on the tournament’s hierarchy number, ̅, a value derived from its score vector ̅ ( ). Let be the set of all score vectors of tournaments on vertices with the entries listed in non-decreasing order. A partial order, poset, exists on the set using the following binary relation. Given ̅ ̅ such that ̅ ̅, let ̅ ̅ if Σ Σ for and Σ Σ . Let this poset be represented as ( ) ( ) …

Log-Data Visualization Tool For Analyzing And Improving Performance Of Data De-Duplication Tool In Charm-Ii, Daniel Erickson

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

A de-duplication tool used in CHARM-II, called the CHARM Matcher, produces log files that record why it decides two records are or are not a match. This data, if properly analyzed, could help CHARM developers improve the Matcher over time by tuning its configuration. However, the log data is complex and recorded chronologically in the log files instead of in a way that would aid analysis. Further, visually studying the raw log data is a laborious and difficult task. This report describes a tool that parses and organizes the raw log data, and then produces graphical reports that summarize key …

Controlling Error Rates With Multiple Positively-Dependent Tests, Abdullah Al Masud

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

It is a typical feature of high dimensional data analysis, for example a microarray study, that a researcher allows thousands of statistical tests at a time. All inferences for the tests are determined using the p-values; a smaller p-value than the α-level of the test signifies a statistically significant test. As the number of tests increases, the chance of observing some small p-values is very high even when all null hypotheses are true. Consequently, we make wrong conclusions on the hypotheses. This type of potential problem frequently happens when we test several hypotheses simultaneously, i.e., the multiple testing problem. …

The 3 Creeks Grazing Allotment: A Study Of Livestock Grazing Management Across Public And Privately Owned Land, Taylor M. Payne

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Livestock ranching is the most common use of public rangeland in the western United States (Gates, personal communication). The newly formed 3 Creeks Grazing Allotment which consists of 136,000 acres and has 29 permittees serves as an example of scientifically based public land management using grazing livestock as a management tool. It is believed that livestock grazing is the most underutilized tool in natural resource management (Hopkin, personal communication). The newly formed allotment will consolidate nine separate allotments into one management unit. This unit is holistically developed to sustain grazing livestock and rural economies while benefitting the range resources including …

Templates For Supporting Sequenced Temporal Semantics In Pig Latin, Dhaval Deshpande

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

This report describes proposed templates for supporting sequenced temporal semantics in Pig Latin, a dataflow language used primarily for the analysis of very large data sets. Sequence semantics says that if we take a relation and divide it into smaller relations based on timestamps, while still carrying out the regular Pig Latin program over it, the result should be the same as when carrying out the temporal Pig Latin program over the original relation. In real time, the relations can be enormous, and dividing such relations into smaller ones based on every possible timestamp creates an extremely large number of …

Utah Preschool Outcomes Data System, Sandeep Venigalla

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

In the State of Utah, both state and federal government agencies work together to provide special education services to eligible children. An important part of this effort is to document the effectiveness of the program, which can be measured in terms of the outcomes, namely, the progress of the individual children. This information can help identify both strengths and weaknesses of special education programs within the state, which in turn can lead to program improvements and better allocation of resources. This report describes a software system that supports the tracking of child and program outcomes for special education within Utah. …

Great Salt Lake Watershed: Its Role In Maintaining The Wetlands Of The Great Salt Lake, Danny C. White Jr.

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The following bioregional planning study is a direct result of the 2009- 2010 studio project initiated by the United States Fish and Wildlife Service (FWS). The FWS contacted the study team and asked them to determine how the future growth and development of the Bear River Watershed would impact the Bear River Migratory Bird Refuge (BRMBR). The study looked at all of the physical and biophysical systems within the Bear River Watershed to identify the issues that had an effect on the BRMBR.

It became apparent from the original project that the future of the BRMBR and other Great Salt …

Metadata Management System For Healthcare Information Systems, Ketan Shripat Patil

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The Utah Department of Health (UDOH) uses multiple and diverse healthcare information systems for managing, maintaining, and sharing the health information. To keep track of the important details about these information systems such as the operational details, data semantics, data exchange standards, and personnel responsible for maintaining and managing it is a monumental task, with several limitations. This report describes the design and implementation of the Metadata Management System (MDM) that addresses the problem of documenting multiple information systems and exchange of data between them. The purpose of the MDM is to provide efficient and usable means of storing, accessing, …

On The Use Of Log-Transformation Vs. Nonlinear Regression For Analyzing Biological Power-Laws, Xiao Xiao

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Power-law relationships are among the most well-studied functional relationships in biology . Recently the common practice of fitting power-laws using linear regression on log-transformed data (LR) has been criticized, calling into question the conclusions of hundreds of studies. It has been suggested that nonlinear regression (NLR) is preferable, but no rigorous comparison of these two methods has been conducted. Using Monte Carlo simulations we demonstrate that the error distribution determines which method performs better, with LR better characterizing data with multiplicative lognormal error and NLR better characterizing data with additive normal error. Analysis of 471 biological power-laws shows that both …

An Ethnographic Study Of In-Service And Pre-Service Teacher Collaboration In The Development And Execution Of Mathematics Lessons, Jessica Munns

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

While much is known about effective strategies for teaching mathematics, less is understood about how to lead new teachers to employ research-based practices in their work. To address this issue we followed a Methods of Teaching Secondary and Middle School Mathematics course at Utah State University where collaboration between inservice and pre-service teachers was emphasized. This report documents examples of the implementation of research-based teaching practices by collaborative groups during the course. The structure of collaboration followed a lesson study model involving research and planning, execution and observation, and reflection and revision of lessons. Preservice and in-service teachers met twice …

Development And Implementation Of A Bayesian Model For Sediment Transport In Fluvial Systems, Mark Schmelter

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Recent studies in the field of fluvial sediment transport underscore the difficulty in reliably estimating transport model parameters, collecting accurate observations, and making predictions due to measurement error and conceptual model uncertainty. There is a pressing need to develop models that can account for measurement error, conceptual model uncertainty, and natural variability while providing probability-based predictions as well as a means for conceptual model discrimination. The model presented in this research employs an excess shear sediment transport equation for a uni-size sediment bed developed in a Bayesian statistical framework. This statistical model provides a means to rigorously estimate distributions of …