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Articles 1 - 15 of 15
Full-Text Articles in Physical Sciences and Mathematics
Examining Factors Related To Access To Rigorous High School Physics For Black Males: Evidence From The High School Longitudinal Study Of 2009, Jennifer Dacosta
Examining Factors Related To Access To Rigorous High School Physics For Black Males: Evidence From The High School Longitudinal Study Of 2009, Jennifer Dacosta
CGU Theses & Dissertations
In the landscape of American education, Black male students face significant barriers in accessing advanced science courses, a challenge that underscores broader issues of equity and inclusion. This study investigated the factors influencing Black male high school students’ access to earn physics credits, focusing on the interplay between school offerings, academic prerequisites, counselor support, personal efficacy in science, and socioeconomic status. Through a detailed analysis of data from the High School Longitudinal Study of 2009, the research adopted a quantitative approach to examine how these variables collectively impact the educational trajectory of these students through multiple regression models which produced …
Mathematical Modeling Of Microscale Biology In Polyelectrolyte Brushes, William J. Ceely
Mathematical Modeling Of Microscale Biology In Polyelectrolyte Brushes, William J. Ceely
CGU Theses & Dissertations
Biological macromolecules including nucleic acids, proteins, and glycosaminoglycans are typically anionic and can span domains of up to hundreds of nanometers and even micron length scales. The structures exist in crowded environments that are dominated by multivalent electrostatic interactions that can be modeled using mean-field continuum approaches that represent underlying molecular nanoscale biophysics. In this thesis, we develop such models for polyelectrolyte brushes using both steady state modified Poisson-Boltzmann models and transient modified Poisson-Nernst-Planck models that incorporate important ion-specific (Hofmeister) effects. The transient model enables observation of the relative physical effects as an initial non-equilibrium state relaxes to the steady …
Examining Course Achievement In An Undergraduate Psychology Statistics Course Through The Lens Of Machine Learning Techniques, Sunny Nguyet Le
Examining Course Achievement In An Undergraduate Psychology Statistics Course Through The Lens Of Machine Learning Techniques, Sunny Nguyet Le
CGU Theses & Dissertations
The Introductory to Psychology Statistics course stands as a notable challenge for psychology majors, often acting as a gatekeeper course. This study embarks on two primary objectives using machine learning techniques: (1) to identify the determinants of overall course achievement, specifically course grade, and (2) to investigate the influence of statistics anxiety and statistics self-efficacy, when both are present, on overall course grade. Employing a machine-learning approach, both objectives were effectively addressed. The study involved the development of a self-reported questionnaire consisting of perceptions of statistics anxiety and statistics self-efficacy, along with other demographic and academic background variables. Conducted at …
Steklov Eigenvalue Problems On Nearly Spherical And Annular Domains, Nathan Philip Schroeder
Steklov Eigenvalue Problems On Nearly Spherical And Annular Domains, Nathan Philip Schroeder
CGU Theses & Dissertations
We consider Steklov eigenvalues on nearly spherical and nearly annular domains in d dimensions where d is any given positive integer. By using the Green-Beltrami identity for spherical harmonic functions, the derivatives of Steklov eigenvalues with respect to the domain perturbation parameter can be determined by the eigenvalues of a matrix involving the integral of the product of three spherical harmonic functions. By using the addition theorem for spherical harmonic functions, we determine conditions when the trace of this matrix becomes zero. These conditions can then be used to determine when spherical and annular regions are critical points while we …
The Impact Of The Use Of Mercury In Mining In Colombia, Johan Martinez
The Impact Of The Use Of Mercury In Mining In Colombia, Johan Martinez
CMC Senior Theses
Artisanal and small-scale gold mining is a practice that is common all around the world, especially in Latin America, Africa, and Asia. It is also one of the leading consumers of mercury and leading sources of emissions. Governments have banned the use of mercury completely, including Colombia, but it continues to be used and emitted into the environment. This issue is exacerbated because there is a lack of standards, a lack of research done regarding mercury use in mining, and a complex socio-political history in Colombia. For this reason, this paper seeks to provide a proposed pathway for research to …
Determining The 2022-2023 Mass Balance Of The Palisade Glacier In The Sierra Nevada Mountains Of California With Remote Sensing, Density Modeling, And Temperature-Index Techniques, Vijay Jain, Eric Grosfils, Sarah Kavassalis
Determining The 2022-2023 Mass Balance Of The Palisade Glacier In The Sierra Nevada Mountains Of California With Remote Sensing, Density Modeling, And Temperature-Index Techniques, Vijay Jain, Eric Grosfils, Sarah Kavassalis
CMC Senior Theses
Small, alpine glaciers, such as those in the Sierra Nevada, are difficult to study because of their small size and remoteness, however, they are important recorders of the impacts of climate change in temperate, alpine environments. Previous studies have attempted to characterize the health of these glaciers using extent change techniques, but these methodologies can only roughly approximate the rudimentary measurement of changing ice volume. This thesis uses the Airborne Snow Observatory Inc.’s (ASO’s) aerial lidar snow depth datasets to perform a mass balance calculation for the Palisade Glacier over the remarkable 2022-2023 water year (October 1 through September 30), …
C. Compactum Acts As A Comprehensive Climate Archive And Ecological Foundation In The Labrador Sea, Sadie Heckman
C. Compactum Acts As A Comprehensive Climate Archive And Ecological Foundation In The Labrador Sea, Sadie Heckman
CMC Senior Theses
Clathromorphum compactum, a species of crustose coralline algae (CCA), is incredibly valuable for the future of high latitude ocean health, both as a comprehensive archive of changing ocean conditions, and ecologically as a foundational species for promoting biodiversity. Previous work establishes C. compactum as an effective climate proxy, and its life history provides several advantages for this use. C. compactum grow in nongeniculate, generally radial formations on hard substrates, over a wide distribution in mid-to-high latitude oceans and at subtidal depth ranges. Indeterminate growth leads to extreme longevity in C. compactum (Halfar et al., 2008), and growth rates are relatively …
Reducing Generalization Error In Multiclass Classification Through Factorized Cross Entropy Loss, Oleksandr Horban
Reducing Generalization Error In Multiclass Classification Through Factorized Cross Entropy Loss, Oleksandr Horban
CMC Senior Theses
This paper introduces Factorized Cross Entropy Loss, a novel approach to multiclass classification which modifies the standard cross entropy loss by decomposing its weight matrix W into two smaller matrices, U and V, where UV is a low rank approximation of W. Factorized Cross Entropy Loss reduces generalization error from the conventional O( sqrt(k / n) ) to O( sqrt(r / n) ), where k is the number of classes, n is the sample size, and r is the reduced inner dimension of U and V.
Existence Of Well-Defined Pointer Observable Selects Tensor Product Factorizations Of Quantum Systems, Brian Lee
CMC Senior Theses
In the decoherence account of quantum mechanics, a choice of particular tensor product structure (a particular partition of system into subsystems) is assumed. We explore whether it is possible to relax this arbitrary choice by requiring that a valid tensor product structure admits a quasi-classical description. Such tensor product structures are said to be quasi-classical or decoherence-selected tensor product structures. This project generalizes a 2-qubit quasi-classical tensor product structure selection algorithm to an n-qubit selection algorithm, which allows us to, for the first time, consider the relationship between decoherence-selected tensor product structures and locality-selected tensor product structures. To generalize the …
Towards Algorithmic Justice: Human Centered Approaches To Artificial Intelligence Design To Support Fairness And Mitigate Bias In The Financial Services Sector, Jihyun Kim
CMC Senior Theses
Artificial Intelligence (AI) has positively transformed the Financial services sector but also introduced AI biases against protected groups, amplifying existing prejudices against marginalized communities. The financial decisions made by biased algorithms could cause life-changing ramifications in applications such as lending and credit scoring. Human Centered AI (HCAI) is an emerging concept where AI systems seek to augment, not replace human abilities while preserving human control to ensure transparency, equity and privacy. The evolving field of HCAI shares a common ground with and can be enhanced by the Human Centered Design principles in that they both put humans, the user, at …
Unveiling The Power Of Shor's Algorithm: Cryptography In A Post Quantum World, Dylan Phares
Unveiling The Power Of Shor's Algorithm: Cryptography In A Post Quantum World, Dylan Phares
CMC Senior Theses
Shor's Algorithm is an extremely powerful tool, in utilizing this tool it is important to understand how it works and why it works. As well as the vast implications it could have for cryptography
Bridging Theory And Application: A Journey From Minkowski's Theorem To Ggh Cryptosystems In Lattice Theory, Danzhe Chen
Bridging Theory And Application: A Journey From Minkowski's Theorem To Ggh Cryptosystems In Lattice Theory, Danzhe Chen
CMC Senior Theses
This thesis provides a comprehensive exploration of lattice theory, emphasizing its dual significance in both theoretical mathematics and practical applications, particularly within computational complexity and cryptography. The study begins with an in-depth examination of the fundamental properties of lattices and progresses to intricate lattice-based problems such as the Shortest Vector Problem (SVP) and the Closest Vector Problem (CVP). These problems are analyzed for their computational depth and linked to the Subset Sum Problem (SSP) to highlight their critical roles in understanding computational hardness. The narrative then transitions to the practical applications of these theories in cryptography, evaluating the shift from …
The Future Of Hydropower In Southeast Asia’S Renewable Energy Transition, Olivia Cairns
The Future Of Hydropower In Southeast Asia’S Renewable Energy Transition, Olivia Cairns
CMC Senior Theses
This thesis will examine the barriers to implementing hydropower in Southeast Asia and propose responsible solutions. This is necessary because Southeast Asia is not on track to reduce carbon emissions to meet climate change mitigation goals. Coal often outcompetes renewable energy sources as a means of addressing the growing demand for electricity. Many insist that the potential for solar and wind power expansion is high, but often ignore the key problems with these renewables at an industrial scale. Hydroelectric dams face rampant social opposition, mistrust due to policy failures, and a poor reputation for causing social and environmental harm. Yet, …
Drone-Based Topographic Monitoring Of The Doheny Beach Replenishment Project As An Alternative To Land-Based Monitoring, Miller Mccraw
Drone-Based Topographic Monitoring Of The Doheny Beach Replenishment Project As An Alternative To Land-Based Monitoring, Miller Mccraw
CMC Senior Theses
The rising threat of coastal erosion to California’s beach ecosystems and economy has fueled a rise in coastal stabilization projects, including beach replenishment. This process’s potentially adverse impact on a beach’s topography and ecosystem makes post-replenishment monitoring essential for long-term coastline management. Drone-based monitoring presents itself as a faster, cheaper, and safer alternative to traditional post-replenishment monitoring but has little proof of concept as a practical substitute. This study used drone-based photogrammetry coupled with publicly available wave data to track elevation changes at Doheny and San Capistrano Beach after a beach replenishment project to both determine the beach’s resilience to …
The Effects Of Seaweed Farming On Local Ecosystems In The United States, Reid Cohen
The Effects Of Seaweed Farming On Local Ecosystems In The United States, Reid Cohen
Pitzer Senior Theses
In my thesis, I explore how seaweed farming contributes to the regeneration of marine ecosystems, supports biodiversity, and assists in harmful nutrient removal. Seaweed farming is a relatively unexplored industry in the United States with huge carbon capturing potential. Seaweed farming poses a significant opportunity for a project that has the potential to sequester carbon, increase biodiversity, protect coastal ecosystems, naturally clean water, provide biofuel capabilities, substitute as livestock fodder which then decreases methane emissions, along with many more benefits. Kelp supports biodiversity in marine ecosystems and provides essential habitats for various species. The seaweed farming industry holds profound potential …