Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Mathematics (52)
- Arts and Humanities (12)
- Environmental Sciences (12)
- Education (9)
- Social and Behavioral Sciences (9)
-
- Science and Mathematics Education (8)
- Other Mathematics (7)
- Discrete Mathematics and Combinatorics (5)
- Natural Resources Management and Policy (5)
- Sustainability (5)
- Algebra (4)
- Applied Mathematics (4)
- Chemistry (4)
- Creative Writing (4)
- Geometry and Topology (4)
- Water Resource Management (4)
- Art Education (3)
- Computer Sciences (3)
- Economics (3)
- Environmental Education (3)
- Environmental Indicators and Impact Assessment (3)
- Higher Education (3)
- Life Sciences (3)
- Number Theory (3)
- Poetry (3)
- Statistics and Probability (3)
- Architecture (2)
- Art and Design (2)
- Econometrics (2)
- Keyword
-
- Compressive sensing (3)
- Mathematics (3)
- 05A15 Exact enumeration problems (2)
- Archimedes (2)
- Automorphism groups of lattices (2)
-
- Computer Science (2)
- Counting (2)
- Cyclic lattices (2)
- Elliptic curve (2)
- Fiction (2)
- Hilbert space (2)
- Information theory (2)
- Music (2)
- Number theory (2)
- Numerical analysis (2)
- Sustainability (2)
- Toeplitz determinant (2)
- Water (2)
- Well-rounded lattices (2)
- 05-02 Combinatorics Research exposition (1)
- 05B45 Tessellation and tiling problems (1)
- 1) (1)
- 3-D Modeling (1)
- 3D printing (1)
- 68P25 Data encryption (1)
- 94A60 Cryptography (1)
- Abelian groups (1)
- Absolute Diophantine results (1)
- Active Learning (1)
- Activism (1)
- Publication
- Publication Type
Articles 61 - 85 of 85
Full-Text Articles in Physical Sciences and Mathematics
Model Spaces: A Survey, Stephan Ramon Garcia, William T. Ross
Model Spaces: A Survey, Stephan Ramon Garcia, William T. Ross
Pomona Faculty Publications and Research
This is a brief and gentle introduction, aimed at graduate students, to the subject of model subspaces of the Hardy space.
The Future Of Squaw Valley And Alpine Meadows, Brian Friel
The Future Of Squaw Valley And Alpine Meadows, Brian Friel
Pomona Senior Theses
This paper examines the ongoing conflict between Squaw Valley Ski Holdings and the local Tahoe community and analyzes this conflict within the greater historical context of ski resort consolidation and development across the Western United States.
Ensuring Our Future Or Sowing The Seeds Of Our Own Destruction? Crop Insurance And Water Use In Texas, Michael Shapiro
Ensuring Our Future Or Sowing The Seeds Of Our Own Destruction? Crop Insurance And Water Use In Texas, Michael Shapiro
Pomona Senior Theses
Agriculture is the largest consumer of water in the United States. Policies that affect agriculture therefore have the potential to have a large effect on the overall use of water. Crop insurance is one such policy, which was found to significantly increase water use in the state of Texas. Much, but not all of this effect can be explained by an increase in planting density, and results vary widely by crop and by region.
Discovery Islands, Earth Islands: The Theory And Practice Of Island Imagery In Environmental Thought, Naomi A. Bosch
Discovery Islands, Earth Islands: The Theory And Practice Of Island Imagery In Environmental Thought, Naomi A. Bosch
Pomona Senior Theses
Earth Island is a core metaphor of activist thought often applied in Environmental Analysis and related fields as a tool for thinking about the planet’s limited resources. It puts forth the claim that if only we thought of the earth as more like an island, we would better understand our connectivity to other living things and be drawn to develop better and more extensive practices of environmental stewardship. This thesis uses personal accounts of environmental life philosophies and political practices collected from residents of the Discovery Islands in British Columbia as a site for analytical comparison between the theory and …
Bridging The Blue-Green Divide: The Role Of Environmental Ngos In Tackling Environmental Problems In Taiwan, Yttrium Sua
Bridging The Blue-Green Divide: The Role Of Environmental Ngos In Tackling Environmental Problems In Taiwan, Yttrium Sua
Pomona Senior Theses
This thesis attempts to provide a brief historical outline of the environmental movement in Taiwan and the unique political situation that has directly affected how the movement has progressed. Thereafter, it looks at some examples of environmental disputes that have occurred in recent years, paying special attention to the ways the environmental movement has interacted with the government. This provides the background to frame the analysis, which will shed light on the reasons for the current state of distrust and antagonistic interactions between the environmental movement and the government. Finally, the thesis evaluates whether such interactions with the government is …
Reforestation, Renewal, And The Cost Of Coal: Opposing A Manichean Worldview In Central Appalachia, Elizabeth R. Hansen
Reforestation, Renewal, And The Cost Of Coal: Opposing A Manichean Worldview In Central Appalachia, Elizabeth R. Hansen
Pomona Senior Theses
Surface coal mining is a major form of land change and environmental degradation in Central Appalachia. Traditional mine reclamation iresults in unmanaged, unproductive grasslands that fail to mitigate many of the environmental costs of coal mining and are of minimal use to communities. Forestry reclamation is an alternative reclamation tactic that has the potential to address both environmental and socioeconomic concerns in Central Appalachia. A case study of Laurel Fork Mine in Eastern Kentucky is included.
Looking Beyond Fossil Fuel Divestment: Combating Climate Change In Higher Education, Robin Xu
Looking Beyond Fossil Fuel Divestment: Combating Climate Change In Higher Education, Robin Xu
Pomona Senior Theses
The young fossil fuel divestment movement is altering the landscape of climate change activism on US campuses. Student-run divestment campaigns are now pushing for institutions of higher education to withdraw their investments from the top 200 public fossil fuel companies. Despite student fervor, however, divestment has remained a controversial tactic for combating climate change. The first half of this thesis examines the stated motives of a selection of institutions that have officially agreed or declined to divest, and investigates the hypothesis that pushing for divestment alone will not achieve broad success because it does not appeal to a wide enough …
Innovation Or Inundation: The Political Economy Of Sea Level Rise In The San Francisco Bay Area, Nicole Quilliam
Innovation Or Inundation: The Political Economy Of Sea Level Rise In The San Francisco Bay Area, Nicole Quilliam
Pomona Senior Theses
Sea levels are rising around the world due to climate change and the rise in greenhouse gas emissions causing an environmental climate crisis. This thesis paper analyzes how sea level rise is affecting the San Francisco Bay Area. It walks through the geographical factors contribute to more severe impacts of sea level rise, potential adaptation strategies, and discusses the economic impacts and political challenges of protecting communities from sea level rise.
Comparing Bulk Aerosol Profiles In The Mixed Layer In Coastal Los Angeles And The Inland Empire, Taia Sean Wu
Comparing Bulk Aerosol Profiles In The Mixed Layer In Coastal Los Angeles And The Inland Empire, Taia Sean Wu
Scripps Senior Theses
Characteristic westerly sea breeze carries air over the Los Angeles Basin in Southern California to the Inland Empire approximately 50 miles inland, directly impacting air quality in both of these two highly polluted regions. As particles play a critical role in air quality and human health, this study compares the bulk aerosol profiles of the Los Angeles pollution "source" and Inland Empire "receptor" regions during the 2013 and 2014 NASA Student Airborne Research Program (SARP) campaigns onboard the NASA DC-8 airborne laboratory. The source and receptor regions were characterized by a series of missed approaches at the Los Angeles International …
Exploration Of Materials Used In 3-Dimensional Printing For The Dental Industry, Holly Chang Hayden
Exploration Of Materials Used In 3-Dimensional Printing For The Dental Industry, Holly Chang Hayden
Scripps Senior Theses
A limiting factor in the digitization of dental devices is the availability of materials suitable for use in both dentistry and the new digital technologies. As a rapidly growing industry, three-dimensional printing (3DP) has the potential to disrupt traditional manufacturing and prototyping methods. A review of both restorative materials and the current 3DP materials has lead to a focus on fiber- reinforced composites in the exploration for a new 3DP material. In addition, another area worth exploring and investing in would be 3D bioprinting as it opens up the possibility of regenerative dentistry.
An Examination Of El Niño's And Agricultural Runoff's Effect On Harmful Algal Blooms And California Sea Lion (Zalophus Californianus) Health In Monterey Bay, Nadine Lafeber
Scripps Senior Theses
An increase in marine mammal stranding and die-off events has been observed along the California coast. The exact cause to explain for these recent events is unknown, but El Niño and harmful algal blooms are established sources for temporary decreases in marine mammal health. To determine whether El Niño could be causing and amplifying harmful algal blooms, particularly in Monterey Bay where they occur frequently, data was analyzed from the Marine Mammal Center in Sausalito, California. Data analysis focused on California sea lions (Zalophus californianus), because they have the largest data set and are directly affected by harmful …
Geographic Relevance For Travel Search: The 2014-2015 Harvey Mudd College Clinic Project For Expedia, Inc., Hannah Long
Geographic Relevance For Travel Search: The 2014-2015 Harvey Mudd College Clinic Project For Expedia, Inc., Hannah Long
Scripps Senior Theses
The purpose of this Clinic project is to help Expedia, Inc. expand the search capabilities it offers to its users. In particular, the goal is to help the company respond to unconstrained search queries by generating a method to associate hotels and regions around the world with the higher-level attributes that describe them, such as “family- friendly” or “culturally-rich.” Our team utilized machine-learning algorithms to extract metadata from textual data about hotels and cities. We focused on two machine-learning models: decision trees and Latent Dirichlet Allocation (LDA). The first appeared to be a promising approach, but would require more resources …
A Mathematical Model Of The Effect Of Aspirin On Blood Clotting, Breeana J. Johng
A Mathematical Model Of The Effect Of Aspirin On Blood Clotting, Breeana J. Johng
Scripps Senior Theses
In this paper, we provide a mathematical model of the effect of aspirin on blood clotting. The model tracks the enzyme prostaglandin H synthase and an important blood clotting factor, thromboxane A2, in the form of thromboxane B2. Through model analysis, we determine conditions under which the reactions of prostaglandin H synthase are self-sustaining. Lastly, through numerical simulations, we demonstrate that the model accurately captures the steady-state chemical concentrations of interest in blood, both with and without aspirin treatment.
Moving Towards A Greener Future: An Investigation Of How Transit-Oriented Development Has The Potential To Redefine Cities Around Sustainability, Margaret E. Smith
Moving Towards A Greener Future: An Investigation Of How Transit-Oriented Development Has The Potential To Redefine Cities Around Sustainability, Margaret E. Smith
Scripps Senior Theses
How does transportation shape the cities we live in? This paper takes a close look at the practice of transit-oriented development to assess its implications for the future of urban areas. Through the design of a hypothetical light rail station in the suburb of Redmond, WA, this paper demonstrates how targeting sustainable development around transit has the potential to influence entire towns to “go green,” and proposes that, moving forward, cities be designed to maximize mobility, livability, and sustainability.
Elliptic Curves And The Congruent Number Problem, Jonathan Star
Elliptic Curves And The Congruent Number Problem, Jonathan Star
CMC Senior Theses
In this paper we explain the congruent number problem and its connection to elliptic curves. We begin with a brief history of the problem and some early attempts to understand congruent numbers. We then introduce elliptic curves and many of their basic properties, as well as explain a few key theorems in the study of elliptic curves. Following this, we prove that determining whether or not a number n is congruent is equivalent to determining whether or not the algebraic rank of a corresponding elliptic curve En is 0. We then introduce L-functions and explain the Birch and …
Applications Of Monte Carlo Methods In Statistical Inference Using Regression Analysis, Ji Young Huh
Applications Of Monte Carlo Methods In Statistical Inference Using Regression Analysis, Ji Young Huh
CMC Senior Theses
This paper studies the use of Monte Carlo simulation techniques in the field of econometrics, specifically statistical inference. First, I examine several estimators by deriving properties explicitly and generate their distributions through simulations. Here, simulations are used to illustrate and support the analytical results. Then, I look at test statistics where derivations are costly because of the sensitivity of their critical values to the data generating processes. Simulations here establish significance and necessity for drawing statistical inference. Overall, the paper examines when and how simulations are needed in studying econometric theories.
Acceptance-Rejection Sampling With Hierarchical Models, Christian A. Ayala
Acceptance-Rejection Sampling With Hierarchical Models, Christian A. Ayala
CMC Senior Theses
Hierarchical models provide a flexible way of modeling complex behavior. However, the complicated interdependencies among the parameters in the hierarchy make training such models difficult. MCMC methods have been widely used for this purpose, but can often only approximate the necessary distributions. Acceptance-rejection sampling allows for perfect simulation from these often unnormalized distributions by drawing from another distribution over the same support. The efficacy of acceptance-rejection sampling is explored through application to a small dataset which has been widely used for evaluating different methods for inference on hierarchical models. A particular algorithm is developed to draw variates from the posterior …
The Future Of Ios Development: Evaluating The Swift Programming Language, Garrett Wells
The Future Of Ios Development: Evaluating The Swift Programming Language, Garrett Wells
CMC Senior Theses
Swift is a new programming language developed by Apple for creating iOS and Mac OS X applications. Intended to eventually replace Objective-C as Apple’s language of choice, Swift needs to convince developers to switch over to the new language. Apple has promised that Swift will be faster than Objective-C, as well as offer more modern language features, be very safe, and be easy to learn and use. In this thesis I test these claims by creating an iOS application entirely in Swift as well as benchmarking two different algorithms. I find that while Swift is faster than Objective-C, it does …
One-Bit Compressive Sensing With Partial Support Information, Phillip North
One-Bit Compressive Sensing With Partial Support Information, Phillip North
CMC Senior Theses
This work develops novel algorithms for incorporating prior-support information into the field of One-Bit Compressed Sensing. Traditionally, Compressed Sensing is used for acquiring high-dimensional signals from few linear measurements. In applications, it is often the case that we have some knowledge of the structure of our signal(s) beforehand, and thus we would like to leverage it to attain more accurate and efficient recovery. Additionally, the Compressive Sensing framework maintains relevance even when the available measurements are subject to extreme quantization. Indeed, the field of One-Bit Compressive Sensing aims to recover a signal from measurements reduced to only their sign-bit. This …
On The Characterization Of Prime Sets Of Polynomials By Congruence Conditions, Arvind Suresh
On The Characterization Of Prime Sets Of Polynomials By Congruence Conditions, Arvind Suresh
CMC Senior Theses
This project is concerned with the set of primes modulo which some monic, irreducible polynomial over the integers has a root, called the Prime Set of the polynomial. We completely characterise these sets for degree 2 polynomials, and develop sufficient machinery from algebraic number theory to show that if the Galois group of a monic, irreducible polynomial over the integers is abelian, then its Prime Set can be written as the union of primes in some congruence classes modulo some integer.
An Exposition And Calibration Of The Ho-Lee Model Of Interest Rates, Benjamin I. Lawson
An Exposition And Calibration Of The Ho-Lee Model Of Interest Rates, Benjamin I. Lawson
CMC Senior Theses
The purpose of this paper is to create an easily understandable version of the Ho-Lee interest rate model. The first part analyzes the model in detail, and the second part calibrates it to demonstrate how it can be applied to real market data.
Exploring Algorithmic Musical Key Recognition, Nathan J. Levine
Exploring Algorithmic Musical Key Recognition, Nathan J. Levine
CMC Senior Theses
The following thesis outlines the goal and process of algorithmic musical key detection as well as the underlying music theory. This includes a discussion of signal-processing techniques intended to most accurately detect musical pitch, as well as a detailed description of the Krumhansl-Shmuckler (KS) key-finding algorithm. It also describes the Java based implementation and testing process of a musical key-finding program based on the KS algorithm. This thesis provides an analysis of the results and a comparison with the original algorithm, ending with a discussion of the recommended direction of further development.
Enhancement On Counting Invariant On Symmetric Virtual Biracks, Melinda Ho
Enhancement On Counting Invariant On Symmetric Virtual Biracks, Melinda Ho
Scripps Senior Theses
This thesis introduces a new enhancement for virtual birack counting invariants. We first introduce knots and other general types of knots (oriented knots, framed knots, racks, and biracks). Then we’ll discuss the methods, knot invariants, mathematicians use to identify whether two knots are different. Next we’ll look at knots with virtual crossings and knots with a good involution. Finally, we introduce a new symmetric enhancement for virtual birack counting invariants and provide an example.
Price, Perceived Value And Customer Satisfaction: A Text-Based Econometric Analysis Of Yelp! Reviews, Eleanor A. Dwyer
Price, Perceived Value And Customer Satisfaction: A Text-Based Econometric Analysis Of Yelp! Reviews, Eleanor A. Dwyer
Scripps Senior Theses
We examine the antecedents of customer satisfaction in the restaurant sector, paying particular attention to perceived value and price level. Using Latent Dirichlet Allocation, we extract latent topics from the text of Yelp! reviews, then analyze the relationship between these topics and satisfaction, measured as the difference between review rating and user average review rating.
San Diego’S Options For Alternate Sources Of Water: A Comparative Analysis Of Water Recycling And Desalination As Alternative Methods To Importing Water, Alana O. Pokorny
San Diego’S Options For Alternate Sources Of Water: A Comparative Analysis Of Water Recycling And Desalination As Alternative Methods To Importing Water, Alana O. Pokorny
Scripps Senior Theses
This paper describes the processes, methods, backgrounds, and economic challenges, of Desalination and Water Recycling and provide current examples of both. To create a baseline with which to compare the two methods, I will also delve into the history of California water policy. This complicated past is the reason water importation into Southern California remains the main method of obtaining water. Yet, as the current drought continues and technology advances, the need for imported water will become obsolete as the methods for recycling and desalinating water become less expensive, more convenient and more equitable. In the conclusion, all the methods …