Digital Commons Network^™

A Personal History Of Invasive Hands And Endangered Lovers, Samuel Paul Boudreau

Graduate Student Theses, Dissertations, & Professional Papers

I thought I could be ridden hard and put away wet, wet, wet. I thought death and rape and drunkenness and unrequited love were functions of a typical life, a this-is-how-it-goes kinda world. But, as I’ve emerged from hellish muck, there has been a realization: the way we treat each other and the soil, the aching earth, needs to change. “A Personal History of Invasive Hands and Endangered Lovers” explores the relationship between intimacy and pain through a history of ecology and consumption, a melancholy of sorts. It amplifies trauma as a call-to-action and refuses to sit and take it. …

Monitoring Agns With H-Beta Asymmetry: Markarian 841, Samuel J. Schonsberg

Undergraduate Theses, Professional Papers, and Capstone Artifacts

Quasars are among the most luminous objects in the Universe, and the mechanism behind their luminosity was shrouded in mystery decades after their discovery. Since then, we have found that these objects are active galactic nuclei (AGN), which are powered by actively-feeding super massive black holes at the center of a galaxy. But we still know fairly little about the structure and motion of the material surrounding active super massive black holes, and most of these objects are not resolvable by conventional observations. We use a technique called reverberation mapping, which is traditionally used only as a mass determination …

Optimal Construction Of A Layer-Ordered Heap And Its Applications, Jake Pennington

Graduate Student Theses, Dissertations, & Professional Papers

The layer-ordered heap (LOH) is a simple data structure used in algorithms that perform optimal top-$k$ on $X+Y$, algorithms with the best known runtime for top-$k$ on $X_1+X_2+\cdots+X_m$, and the fastest method in practice for computing the most abundant isotopologue peaks in a chemical compound. In the analysis of these algorithms, the rank, $\alpha$, has been treated as a constant and $n$, the size of the array, has been treated as the sole parameter. Here, we explore the algorithmic complexity of LOH construction with $\alpha$ as a parameter, introduce a few algorithms for constructing LOHs, analyze their complexity in both …

Species Selection And Plantation Management In Enrichment Planting With Native Timber Species In The Panama Canal Watershed, Abigail A. Marshall

Graduate Student Theses, Dissertations, & Professional Papers

Large areas of the Panama Canal Watershed have been converted to monocultures of teak (Tectonia grandis), a non-native timber species that is generally not providing hoped-for economic and ecological benefits of Forest Landscape Restoration. Enrichment planting offers a potential strategy for revitalizing these underperforming plantations through the addition of high-value, native species to the understory, but more information is needed to guide implementation and management in this region and other tropical areas. I assessed the performance of six promising native species (B. crassifolia, D. retusa, D. oleifera, H. alchorneoides, P. pinnatum, T. amazonia) as an enrichment …

Quantifying Bedrock Recharge In Two Paired Mountainous Watersheds, Kimberly Bolhuis

Graduate Student Theses, Dissertations, & Professional Papers

This study focuses on 1) estimating the magnitude of bedrock recharge and 2) mean transit time as a function of bedrock permeability in two paired catchments underlain by different lithology. Networks of bedrock wells and stream gauges were installed in two adjacent catchments of approximately the same size in west central Montana. Fracture network properties for both lithologies were characterized from borehole core logging and scan lines on exposed outcrop. Recharge was evaluated using the Water Table Fluctuation (WTF) method on bedrock well hydrographs installed in both catchments. Stable water isotope samples, collected approximately monthly, from precipitation and stream water …

The Influence Of Wildland Urban Interface Areas On Resource Assignments To Large Wildland Fires, Kurt Swimley

Graduate Student Theses, Dissertations, & Professional Papers

We examine the relationship between U.S. wildfire resource assignments and fire proximity to inhabited areas. Climate change and previous vegetation buildup have enabled more severe fire seasons, while more structures are being developed near vegetated, wildland areas. These changes have contributed to a steep increase in the overall cost of wildfire management, the annual costs of which regularly rise into the billions (NIFC, 2021). Still, the extent to which each driver of suppression costs contributes to the increase in spending is not entirely understood. Previous studies have shown that more suppression resources are allocated to fires near inhabited areas, …

Transboundary Marine Management In The Sulu-Sulawesi Seascape, Lindsey G. Ellett

Graduate Student Theses, Dissertations, & Professional Papers

Transboundary conservation aims to facilitate environmental conservation and management at the ecosystem level by operating across political boundaries, through the cooperation of two or more countries. Though there is increased interest and advocation for transboundary conservation initiatives around the world, there remains a limited understanding of how they function on-the-ground. Within this study, I address these gaps in knowledge through two phases of research, both focusing on the Sulu-Sulawesi Seascape as a case study site. Phase I involved a policy analysis of Indonesian, Malaysia, and Philippine policies related to fisheries, coastal zones and protected areas, and environmental quality. Through this …

Generation, Characterization, And C-H Bond Activation Reactivity By Mononuclear High-Valent Cobalt(Iv) And Nickel(Iv) Non-Oxo Complexes, Yubin Maria Kwon

Graduate Student Theses, Dissertations, & Professional Papers

The study of terminal high-valent transition metal-oxo complexes has increased significantly over the years as it is believed that they are key reactive intermediates for a wide range of biological and industrial catalytic processes. These complexes are powerful oxidants for the activation of strong C-H bonds. The chemical and physical properties of these complexes remain elusive. It is therefore desirable to study the properties and function of these complexes through synthetic models. There have been many efforts and reports of synthetic high-valent metal-oxo complexes of early and middle transition metals (up to group 8 on the Periodic Table of Elements), …

Policy And Collaborative Governance: Case Studies Of Three Wildlife Crossings, Nicholas Maya

Graduate Student Theses, Dissertations, & Professional Papers

Over the last several decades, the number of wildlife-vehicle collisions in North America has significantly increased, driving substantial loss of human life and wildlife and economic costs. The most effective wildlife-vehicle collision mitigation is wildlife crossing structures (undercrossings and overcrossings), with some studies suggesting they can reduce wildlife-vehicle collisions by 97% when paired with wildlife exclusion fencing. However, cost, funding, jurisdiction, land ownership, and local support are limiting factors in constructing these crossing structures. This paper presents case studies of three crossing projects in Snoqualmie, Washington, Teton County, Wyoming, and Summit County, Colorado, to illustrate the similarities and differences in …

Wildlife-Friendly Fence Policy On Federal Public Lands Managed By The U.S. Forest Service And Bureau Of Land Management, Joshua D. Elliott

Graduate Student Theses, Dissertations, & Professional Papers

Many wildlife species are negatively impacted by the presence of fences on the landscape. Climate change is only exacerbating the problem as home ranges shift and species face heightened levels of stress. In recent decades, wildlife biologists have studied these impacts and devised ways of constructing fences to increase habitat connectivity and significantly reduce fence-related injury and mortality rates. Conservationists attempting to address this issue on a landscape level face significant challenges resulting from complex land ownership patterns, specifically across the western United States.

The two largest landowners in the U.S. are the Bureau of Land Management (BLM) and the …

Ensemble Protein Inference Evaluation, Kyle Lee Lucke

Graduate Student Theses, Dissertations, & Professional Papers

The Protein inference problem is becoming an increasingly important tool that aids in the characterization of complex proteomes and analysis of complex protein samples. In bottom-up shotgun proteomics experiments the metrics for evaluation (like AUC and calibration error) are based on an often imperfect target-decoy database. These metrics make the inherent assumption that all of the proteins in the target set are present in the sample being analyzed. In general, this is not the case, they are typically a mix of present and absent proteins. To objectively evaluate inference methods, protein standard datasets are used. These datasets are special in …

Super-Resolution Imaging Of Remote Sensed Brightness Temperature Using A Convolutional Neural Network, Kellen A. Donahue

Graduate Student Theses, Dissertations, & Professional Papers

Steady improvements to the instruments used in remote sensing has led to much higher resolution data, often contemporaneous with lower resolution instruments that continue to collect data. There is a clear opportunity to reconcile recent high resolution satellite data with the lower resolution data of the past. Super-resolution (SR) imaging is a technique that increases the spatial resolution of image data by training statistical methods on simultaneously occurring lower and higher resolution data sets. The special sensor microwave/imager (SSMI) and advanced microwave scanning radiometer (AMSR2) brightness temperature data products are well suited to super-resolution imaging, and SR can be used …

Relating Streamflow Discharge To Surface Elastic Response Under Hydrologic Loading Using Single Gps Vertical Displacement And The Storage-Discharge Relationship At Local Watershed Scales, Noah B. Clayton

Graduate Student Theses, Dissertations, & Professional Papers

Uncertainties associated with climate change and increasing demands for water resources require better methods for estimating water availability at small to intermediate watershed scales (<1500 km²). Temporal changes in watershed storage and transport across various watersheds in the western U.S. were investigated using the hydrologic loading signal from GPS vertical displacements as a proxy for changes in watershed total terrestrial storage. GPS vertical displacement and streamflow discharge relationships were analyzed at daily to monthly temporal resolution. Stream connected storage changes were inferred using discharge using a first-order dynamical system model. Storage inferred from discharge, GPS vertical displacement and storage …

The Spinning Cube: An Algebraic Excursion, Lingguo Bu

The Mathematics Enthusiast

What shapes do you get when you spin a cube on one of its vertices? This article explores the algebraic aspects of a spinning cube and establishes equations for the two cones and the hyperboloid using secondary school mathematics. Both the analysis and the verification take advantage of dynamic mathematics learning technologies.

Indigenous Culture-Based School Mathematics In Action Part Ii: The Study’S Results: What Support Do Teachers Need?, Sharon Meyer, Glen Aikenhead

The Mathematics Enthusiast

This second part of two related articles reports the answers to the research question: What precise supports must be in place for Grades 5 to 12 teachers to enhance their mathematics classes in a sustainable way with Indigenous mathematizing and Indigenous worldview perspectives? In addition to various logistical supports, two other types of supports were identified: supports for learning and unlearning ways of perceiving the world generally and perceiving Western mathematics specifically. These needed supports came to light when we mentored the teachers. On the one hand, the co-researching teachers learned, or had already learned: (a) the plurality of mathematical …

Impediments To Mathematical Creativity: Fixation And Flexibility In Proof Validation, Per Øystein Haavold

The Mathematics Enthusiast

Mathematical techniques in proof writing can be narrowed down to specific proof styles. Simply put, proofs can be direct or indirect- the latter using the Law of the Excluded Middle from logic as well as the axiom of Choice, to prove existence of mathematical objects. However, the thinking skills involved in writing indirect proofs are prone to errors, especially from novice proof writers such as prospective teachers. Creativity in mathematics entails the use of both direct and indirect approaches to determine the validity of a statement. In this article, I shed some light on this relationship, by reporting on some …

The Academic Community’S Perceptions Of The Two-Column Proof, Jeffrey Pair, Susanne Strachota, Rashmi Singh

The Mathematics Enthusiast

Our research team surveyed members of the mathematics education scholarly community to gain insight into the community’s perceptions of the two-column proof and its role in high school geometry. We created an email survey, which we sent to email addresses gathered from public lists of conference participants and speakers from recent mathematics education conferences. We asked study participants to describe the value of the two-column proof and discuss whether they would be in favor of eliminating it from the high school geometry curriculum. There was a wide range of diversity in the responses, and we present several themes that we …

Unit Shapes And A Wealth Of Calculus Problems, Robert G. Donnelly, Alexander F. Thome

The Mathematics Enthusiast

For a given family of similar shapes, what we call a \unit shape" strongly analogizes the role of the unit circle within the family of all circles. Within many such families of similar shapes, we present what we believe is naturally and intrinsically unital about their unit shapes. We present a number of calculus problems related to extremal questions about collections of unit shapes, and we recapitulate some isoperimetric problems in terms of unit shapes. We close by presenting some problems (some of which are open) and by proffering perhaps a new perspective on the pi vs. t debate.

Real Numbers As Infinite Decimals, Nicolas Fardin, Liangpan Li

The Mathematics Enthusiast

Stemming from an idea put forward by Loo-Keng Hua in 1962, this article describes an original way to perform arithmetic directly on infinite decimals. This approach leads to a new and elementary construction of the real number system via decimal representation. Based on the least upper bound property, a definition of trigonometric functions is also included, which settles an issue that Godfrey H. Hardy called \a fatal defect" in his Course of Pure Mathematics.

Archimedes’ Works In Conoids As A Basis For The Development Of Mathematics, Kenton Ke

The Mathematics Enthusiast

This paper explores Archimedes’ works in conoids, which are three dimensional versions of conic sections, and will discuss ideas that came up in Archimedes’ book On Conoids and Spheroids. In particular, paraboloids, or three dimensional parabolas, will be the primary focus, and a proof of one of the propositions is provided for a clearer understanding of how Archimedes proved many of his propositions. His main method is called method of exhaustion, with results justified by double contradiction. This paper will compare the ideas and problems brought up in On Conoids and Spheroids and how they relate to modern day calculus. …

The History Of Bootstrapping: Tracing The Development Of Resampling With Replacement, Denise Lafontaine

The Mathematics Enthusiast

Sampling is one of the most fundamental concepts in statistics, as the quality and accuracy of the statistical inferences made, heavily depend on the method used to obtain the sample and the sample’s ability to represent the population of inference. Despite being a simple concept, sampling presents researchers with many challenges. Generally, due to monetary and time constraints, researchers must take a smaller sample size than they would ideally use. Using statistics from these small samples, estimates for population parameters can be made, typically in the form of a confidence interval. However, the validity of these confidence intervals depends on …

Beauty Is In The Blind Spot Of The Beholder, Ron Aharoni

The Mathematics Enthusiast

The paper addresses the time-old question of what is beauty. A rather ambitious, if not to say presumptuous, endeavour. But I do not aim high – I do not claim to get anywhere near unearthing the secret. Rather, I will use examples from mathematics, poetry, music and chess to substantiate one thesis: that the elusory character of beauty is not incidental. Its defiance of definition is part of its essence. The aesthetic sensation requires unawareness of its precise origin. Beauty is felt when some order is perceived, that is not fully comprehended. The order is too complex, or well hidden, …

Variations On Convergence Criteria, Reinhard Oldenburg

The Mathematics Enthusiast

The didactical idea of variation is exemplified with examples from convergence of series. This yields a new convergence test similar to the root test.

Asarco Llc V. Atlantic Richfield Co., Llc, Taylor A. Simpson

Public Land & Resources Law Review

In 2009, Asarco reached a settlement agreement with the Environmental Protection Agency for the arsenic-contaminated East Helena lead smelting facility. As part of the settlement, Asarco was responsible for $111.4 million in cleanup and remediation expenses. Following this payment, Asarco brought a contribution claim under the Comprehensive Environmental Response, Compensation, and Liability Act against Atlantic Richfield. Finally, in 2020, the Ninth Circuit Court of Appeals held that Asarco’s remediation expenses of $111.4 million were not eligible for contribution because the costs were not fully incurred. The Ninth Circuit stated that only incurred or concrete, non-speculative future costs can be eligible …

Chapter 1.2: Visualization Of Buffer Capacity With 3-D Topos: Buffer Ridges, Equivalence Point Canyons And Dilution Ramps, Garon C. Smith, Md Mainul Hossain

Water Topos: A 3-D Trend Surface Approach to Viewing and Teaching Aqueous Equilibrium Chemistry

The BufCap TOPOS software generates 3-D topographic surfaces for acid-base equilibrium studies that portray pH and buffer capacity behavior during titration and dilution procedures. Topo surfaces are created by plotting computed pH and buffer capacity values above a composition grid with volume of NaOH as the x-axis and overall system dilution as the y-axis. What emerge are surface features that correspond to pH and buffer behaviors in aqueous solutions. Topo surfaces are created for pH, log buffer capacity and linear buffer capacity. Equivalence point breaks become pH cliffs and logarithmic buffer capacity canyons that grow shallower with dilution. …

December 2020 News Releases, University Of Montana--Missoula. Office Of University Relations

University of Montana News Releases, 1928, 1956-present

No abstract provided.

Rapid Evolution Of Aerosol Particles And Their Optical Properties Downwind Of Wildfires In The Western Us, Lawrence I. Kleinman, Arthur J. Sedlacek, Kouji Adachi, Peter R. Buseck, Sonya Collier, Manvendra K. Dubey, Anna L. Hodshire, Ernie Lewis, Timothy B. Onasch, Jeffery R. Pierce, John Shilling, Stephen R. Springston, Jian Wang, Qi Zhang, Shan Zhou, Robert J. Yokelson

Chemistry and Biochemistry Faculty Publications

During the first phase of the Biomass Burn Operational Project (BBOP) field campaign, conducted in the Pacific Northwest, the DOE G-1 aircraft was used to follow the time evolution of wildfire smoke from near the point of emission to locations 2-3.5 h downwind. In nine flights we made repeated transects of wildfire plumes at varying downwind distances and could thereby follow the plume's time evolution. On average there was little change in dilution-normalized aerosol mass concentration as a function of downwind distance. This consistency hides a dynamic system in which primary aerosol particles are evaporating and secondary ones condensing. Organic …

Chapter 1.1: 3-D Surface Visualization Of Ph Titration “Topos”: Equivalence Point Cliffs, Dilution Ramps And Buffer Plateaus, Garon C. Smith, Md Mainul Hossain, Patrick Maccarthy

Water Topos: A 3-D Trend Surface Approach to Viewing and Teaching Aqueous Equilibrium Chemistry

3-D topos can be generated to visualize how pH behaves during titration and dilution procedures. The surfaces are constructed by plotting computed pH values above a composition grid with volume of base added in one direction and overall system dilution on the other. Surficial features correspond to behavior in aqueous solutions. Equivalence point breaks become cliffs that pinch out with dilution. Buffer effects become plateaus. Dilution alone generates 45^o ramps. Sample surfaces are analyzed for acetic acid, CH₃COOH (a weak monoprotic acid); hydrochloric acid, HCl (a strong acid); oxalic acid, HOOCCOOH (a weak diprotic acid) and L-histidine …

November 2020 News Releases, University Of Montana--Missoula. Office Of University Relations

University of Montana News Releases, 1928, 1956-present

No abstract provided.

October 2020 News Releases, University Of Montana--Missoula. Office Of University Relations

University of Montana News Releases, 1928, 1956-present

No abstract provided.