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Claremont Colleges

Theses/Dissertations

2014

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Articles 1 - 30 of 32

Full-Text Articles in Physical Sciences and Mathematics

Biodynamic Agriculture: A Valuable Alternative To The Industrial Farming System, Eden K. Olsen May 2014

Biodynamic Agriculture: A Valuable Alternative To The Industrial Farming System, Eden K. Olsen

Scripps Senior Theses

Since the Scientific and Industrial revolutions, advancing technologies and cutting-edge science have enabled our society to continually promote a growing global economy. Industrial growth has increasingly become a top priority for most governments, notably in the agricultural realm. The advances towards agricultural industrialization began in the 17th century and escalated during the Green Revolution, which examined the possibility of using synthetic fertilizers and mechanization in farming to decrease labor and improve yields. Although seen as economically beneficial, the shift from an agrarian lifestyle to industrial farming has created an ecological, economic, and ideological crisis to our modern world. This …

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The Reclamation Of Public Parks: An Analysis Of Environmental Justice In Los Angeles, Allison Rigby May 2014

The Reclamation Of Public Parks: An Analysis Of Environmental Justice In Los Angeles, Allison Rigby

Scripps Senior Theses

People who live in cities are far more likely to suffer the physical and psychological effects of urban environments--high noise levels, automobile emissions, toxic industrial waste, crowded living conditions, and a general scarcity of open space. Combating these issues, public parks do more than provide recreational space. They are fundamental to any efforts focusing on urban revitalization, social justice, and sustainability. In downtown Los Angeles, public parks are rare, especially in low-income communities. Several new public parks have reclaimed abandoned land, unwelcoming spaces, and the City’s brownfields. After years of intense private use and neglect, spent land has been reinvigorated …

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Musical Missteps: The Severity Of The Sophomore Slump In The Music Industry, Shane M. Zackery May 2014

Musical Missteps: The Severity Of The Sophomore Slump In The Music Industry, Shane M. Zackery

Scripps Senior Theses

This study looks at alternative models of follow-up album success in order to determine if there is a relationship between the decrease in Metascore ratings (assigned by Metacritic.com) between the first and second album for a musician or band and the 1) music genre or 2) the number of years between the first and second album release. The results support the dominant thought, which suggests that neither belonging to a certain genre of music nor waiting more or less time to drop the second album makes an artist more susceptible to the Sophomore Slump. This finding is important because it …

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The Pacific Crest Trail: A History Of America’S Relationship With Western Wilderness, Jenn Livermore May 2014

The Pacific Crest Trail: A History Of America’S Relationship With Western Wilderness, Jenn Livermore

Scripps Senior Theses

The Pacific Crest Trail has become increasingly popular since Clinton Clarke first envisioned such a trail in the 1930’s. By comparing the original motives and experience of the trail to the realities of the trail today, the trail’s fluid narrative becomes apparent. While this narrative is ever changing, over the course of the trail’s history one theme has remained constant – a notably problematic relationship with wilderness rooted in an exaltation of the sublime and post-frontier ideals. This thesis focuses on how the Pacific Crest Trail’s development over the past eighty years has created an experience that, on the surface, …

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Spreading The Char: The Importance Of Local Compatibility In The Diffusion Of Biochar Systems To The Smallholder Agriculture Community Context, Laura C. V. Munoz May 2014

Spreading The Char: The Importance Of Local Compatibility In The Diffusion Of Biochar Systems To The Smallholder Agriculture Community Context, Laura C. V. Munoz

Pomona Senior Theses

This thesis enters the context of smallholder agriculture communities in the developing world. It explores the potentials of biochar and what biochar systems could bring to the smallholder communities while simultaneously bringing environmental benefits. It then acknowledges the challenges of diffusion –the spreading of an unfamiliar innovation. It seeks to answer the question of what will make diffusion of biochar systems more successful in the smallholder context, fixating on the characteristic of compatibility as well as the role local community members can play in making a new biochar system more visible to the rest of the communities.

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Cycle Lengths Of Θ-Biased Random Permutations, Tongjia Shi Jan 2014

Cycle Lengths Of Θ-Biased Random Permutations, Tongjia Shi

HMC Senior Theses

Consider a probability distribution on the permutations of n elements. If the probability of each permutation is proportional to θK, where K is the number of cycles in the permutation, then we say that the distribution generates a θ-biased random permutation. A random permutation is a special θ-biased random permutation with θ = 1. The mth moment of the rth longest cycle of a random permutation is Θ(nm), regardless of r and θ. The joint moments are derived, and it is shown that the longest cycles of a permutation can either be positively or …

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Experimental Realization Of Slowly Rotating Modes Of Light, Fangzhao A. An Jan 2014

Experimental Realization Of Slowly Rotating Modes Of Light, Fangzhao A. An

HMC Senior Theses

Beams of light can carry spin and orbital angular momentum. Spin angular momentum describes how the direction of the electric field rotates about the propagation axis, while orbital angular momentum describes the rotation of the field amplitude pattern. These concepts are well understood for monochromatic beams, but previous theoretical studies have constructed polychromatic superpositions where the connection between angular momentum and rotation of the electric field becomes much less clear. These states are superpositions of two states of light carrying opposite signs of angular momentum and slightly detuned frequencies. They rotate at the typically small detuning frequency and thus we …

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Using Topology To Explore Mathematics Education Reform, Carling Sugarman Jan 2014

Using Topology To Explore Mathematics Education Reform, Carling Sugarman

HMC Senior Theses

Mathematics education is a constant topic of conversation in the United States. Many attempts have been made historically to reform teaching methods and improve student results. Particularly, past ideas have emphasized problem-solving to make math feel more applicable and enjoyable. Many have additionally tackled the widespread problem of “math anxiety” by creating lessons that are more discussion-based than drill-based to shift focus from speed and accuracy. In my project, I explored past reform goals and some added goals concerning students' perceptions of mathematics. To do so, I created and tested a pilot workshop in topology, a creative and intuitive field, …

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A New Subgroup Chain For The Finite Affine Group, David Alan Lingenbrink Jr. Jan 2014

A New Subgroup Chain For The Finite Affine Group, David Alan Lingenbrink Jr.

HMC Senior Theses

The finite affine group is a matrix group whose entries come from a finite field. A natural subgroup consists of those matrices whose entries all come from a subfield instead. In this paper, I will introduce intermediate sub- groups with entries from both the field and a subfield. I will also examine the representations of these intermediate subgroups as well as the branch- ing diagram for the resulting subgroup chain. This will allow us to create a fast Fourier transform for the group that uses asymptotically fewer opera- tions than the brute force algorithm.

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Arithmetical Graphs, Riemann-Roch Structure For Lattices, And The Frobenius Number Problem, Jeremy Usatine Jan 2014

Arithmetical Graphs, Riemann-Roch Structure For Lattices, And The Frobenius Number Problem, Jeremy Usatine

HMC Senior Theses

If R is a list of positive integers with greatest common denominator equal to 1, calculating the Frobenius number of R is in general NP-hard. Dino Lorenzini defines the arithmetical graph, which naturally arises in arithmetic geometry, and a notion of genus, the g-number, that in specific cases coincides with the Frobenius number of R. A result of Dino Lorenzini's gives a method for quickly calculating upper bounds for the g-number of arithmetical graphs. We discuss the arithmetic geometry related to arithmetical graphs and present an example of an arithmetical graph that arises in this context. We also discuss the …

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Fast Algorithms For Analyzing Partially Ranked Data, Matthew Mcdermott Jan 2014

Fast Algorithms For Analyzing Partially Ranked Data, Matthew Mcdermott

HMC Senior Theses

Imagine your local creamery administers a survey asking their patrons to choose their five favorite ice cream flavors. Any data collected by this survey would be an example of partially ranked data, as the set of all possible flavors is only ranked into subsets of the chosen flavors and the non-chosen flavors. If the creamery asks you to help analyze this data, what approaches could you take? One approach is to use the natural symmetries of the underlying data space to decompose any data set into smaller parts that can be more easily understood. In this work, I describe …

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Reed's Conjecture And Cycle-Power Graphs, Alexa Serrato Jan 2014

Reed's Conjecture And Cycle-Power Graphs, Alexa Serrato

HMC Senior Theses

Reed's conjecture is a proposed upper bound for the chromatic number of a graph. Reed's conjecture has already been proven for several families of graphs. In this paper, I show how one of those families of graphs can be extended to include additional graphs and also show that Reed's conjecture holds for a family of graphs known as cycle-power graphs, and also for their complements.

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Characterizing Forced Communication In Networks, Samuel C. Gutekunst Jan 2014

Characterizing Forced Communication In Networks, Samuel C. Gutekunst

HMC Senior Theses

This thesis studies a problem that has been proposed as a novel way to disrupt communication networks: the load maximization problem. The load on a member of a network represents the amount of communication that the member is forced to be involved in. By maximizing the load on an important member of the network, we hope to increase that member's visibility and susceptibility to capture. In this thesis we characterize load as a combinatorial property of graphs and expose possible connections between load and spectral graph theory. We specifically describe the load and how it changes in several canonical classes …

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There And Back Again: Elliptic Curves, Modular Forms, And L-Functions, Allison F. Arnold-Roksandich Jan 2014

There And Back Again: Elliptic Curves, Modular Forms, And L-Functions, Allison F. Arnold-Roksandich

HMC Senior Theses

L-functions form a connection between elliptic curves and modular forms. The goals of this thesis will be to discuss this connection, and to see similar connections for arithmetic functions.

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Infinitely Many Rotationally Symmetric Solutions To A Class Of Semilinear Laplace-Beltrami Equations On The Unit Sphere, Emily M. Fischer Jan 2014

Infinitely Many Rotationally Symmetric Solutions To A Class Of Semilinear Laplace-Beltrami Equations On The Unit Sphere, Emily M. Fischer

HMC Senior Theses

I show that a class of semilinear Laplace-Beltrami equations has infinitely many solutions on the unit sphere which are symmetric with respect to rotations around some axis. This equation corresponds to a singular ordinary differential equation, which we solve using energy analysis. We obtain a Pohozaev-type identity to prove that the energy is continuously increasing with the initial condition and then use phase plane analysis to prove the existence of infinitely many solutions.

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A Mathematical Framework For Unmanned Aerial Vehicle Obstacle Avoidance, Sorathan Chaturapruek Jan 2014

A Mathematical Framework For Unmanned Aerial Vehicle Obstacle Avoidance, Sorathan Chaturapruek

HMC Senior Theses

The obstacle avoidance navigation problem for Unmanned Aerial Vehicles (UAVs) is a very challenging problem. It lies at the intersection of many fields such as probability, differential geometry, optimal control, and robotics. We build a mathematical framework to solve this problem for quadrotors using both a theoretical approach through a Hamiltonian system and a machine learning approach that learns from human sub-experts' multiple demonstrations in obstacle avoidance. Prior research on the machine learning approach uses an algorithm that does not incorporate geometry. We have developed tools to solve and test the obstacle avoidance problem through mathematics.

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Experiments On Surfactants And Thin Fluid Films, Peter Megson Jan 2014

Experiments On Surfactants And Thin Fluid Films, Peter Megson

HMC Senior Theses

We investigate the spatiotemporal dynamics of a surfactant monolayer on a thin fluid film spreading inward into a region devoid of surfactant, a system motivated by the alveolus of the human lung. We perform experiments that simultaneously measure the fluid height profile and the fluorescence intensity due to our fluorescent surfactant, NBD-PC. We perform experiments on both a Newtonian layer of glycerol and a shear-thinning fluid layer consisting of xanthan gum mixed with glycerol. We can very successfully extract height profiles on the xanthan gum fluid, although the simultaneous measurement of fluorescent intensity profiles proved problematic, as the laser tended …

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Energy-Driven Pattern Formation In Planar Dipole-Dipole Systems, Jaron P. Kent-Dobias Jan 2014

Energy-Driven Pattern Formation In Planar Dipole-Dipole Systems, Jaron P. Kent-Dobias

HMC Senior Theses

A variety of two-dimensional fluid systems, known as dipole-mediated systems, exhibit a dipole-dipole interaction between their fluid constituents. The com- petition of this repulsive dipolar force with the cohesive fluid forces cause these systems to form intricate and patterned structures in their boundaries. In this thesis, we show that the microscopic details of any such system are irrelevant in the macroscopic limit and contribute only to a constant offset in the system’s energy. A numeric model is developed, and some important stable domain morphologies are characterized. Previously unresolved bifurcating branches are explored. Finally, by applying a random energy background to …

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A Look Into The Industry Of Video Games Past, Present, And Yet To Come, Chad Hadzinsky Jan 2014

A Look Into The Industry Of Video Games Past, Present, And Yet To Come, Chad Hadzinsky

CMC Senior Theses

Since its inception, the video game industry has been both a new medium for art and innovation as well as a major driving force in the advancements of many technologies. The often overlooked video game industry has turned from a hobby to a multi-billion dollar industry in its short, forty year life. People of all ages and genders across the world are playing video games at a higher clip than ever before. With so many new gamers and emerging technologies, it is an exciting time for the industry. The landscape is constantly changing and successful business models of the past …

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Finding Zeros Of Rational Quadratic Forms, John F. Shaughnessy Jan 2014

Finding Zeros Of Rational Quadratic Forms, John F. Shaughnessy

CMC Senior Theses

In this thesis, we introduce the notion of quadratic forms and provide motivation for their study. We begin by discussing Diophantine equations, the field of p-adic numbers, and the Hasse-Minkowski Theorem that allows us to use p-adic analysis determine whether a quadratic form has a rational root. We then discuss search bounds and state Cassels' Theorem for small-height zeros of rational quadratic forms. We end with a proof of Cassels' Theorem and suggestions for further reading.

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Block Kaczmarz Method With Inequalities, Jonathan Briskman Jan 2014

Block Kaczmarz Method With Inequalities, Jonathan Briskman

CMC Senior Theses

The Kaczmarz method is an iterative algorithm that solves overdetermined systems of linear equalities. This paper studies a system of linear equalities and inequalities. We use the block version of the Kaczmarz method applied towards the equalities with the simple randomized Kaczmarz scheme for the inequalities. This primarily involves combining Needell and Tropp's work on the block Kaczmarz method with the application of a randomized Kaczmarz approach towards a system of equalities and inequalities performed by Leventhal and Lewis. We give an expected linear rate of convergence for this kind of system and find that using the block Kaczmarz scheme …

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Scalable Collaborative Filtering Recommendation Algorithms On Apache Spark, Walker Evan Casey Jan 2014

Scalable Collaborative Filtering Recommendation Algorithms On Apache Spark, Walker Evan Casey

CMC Senior Theses

Collaborative filtering based recommender systems use information about a user's preferences to make personalized predictions about content, such as topics, people, or products, that they might find relevant. As the volume of accessible information and active users on the Internet continues to grow, it becomes increasingly difficult to compute recommendations quickly and accurately over a large dataset. In this study, we will introduce an algorithmic framework built on top of Apache Spark for parallel computation of the neighborhood-based collaborative filtering problem, which allows the algorithm to scale linearly with a growing number of users. We also investigate several different variants …

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Changing The Climate Narrative: How A Long-Term Climate Change Might Save Our Lives, Natalie P. Harreld Jan 2014

Changing The Climate Narrative: How A Long-Term Climate Change Might Save Our Lives, Natalie P. Harreld

CMC Senior Theses

The goal of this paper is to offer new insights into the climate change debate by shifting away from the heated anthropologic arguments that dominate politics, media, and popular science. Instead, I choose to rely on the long-term impacts of a changing climate on our planet. The paper begins with a break down of key processes involved in short-term and long-term climate change, using the latest research. After a foundational understanding of climate sciences is established, we will discuss the failure of the climate change debate in educating the general public about the facts of a changing climate. Finally, the …

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Colormoo: An Algorithmic Approach To Generating Color Palettes, Joshua Rael Jan 2014

Colormoo: An Algorithmic Approach To Generating Color Palettes, Joshua Rael

CMC Senior Theses

Selecting one color can be done with relative ease, but this task becomes more difficult with each subsequent color. Colormoo is an online tool aimed at solving this problem. We implement three algorithms for generating color palettes based off of a starting color. Data is collected for each palette that is generated. Our analysis reveals two of the algorithms are preferred, but under different circumstances. Furthermore, we find that users prefer palettes containing colors that are compatible, but not too similar. With refined heuristics, we believe these techniques can be extended and applied beyond the field of graphic design alone.

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Metamorphism Of Cretaceous Standstones By Natural Coal-Fires, San Rafael Swell, Utah, Alexa R. Zilberfarb Jan 2014

Metamorphism Of Cretaceous Standstones By Natural Coal-Fires, San Rafael Swell, Utah, Alexa R. Zilberfarb

Scripps Senior Theses

Underground coal fires commonly metamorphose or melt surrounding rocks at temperatures exceeding 1000°C. Numerous “baked” sandstone clinker deposits occur in the Cretaceous sedimentary rocks exposed in the San Rafael Swell, UT. This study examines clinker in three main localities: 1) East Carbon, UT, 2) Helper, UT, and 3) Emery, UT. The extent of pyrometamorphism in these areas is variably developed, but reached high enough temperature in Helper, UT to initiate melting and the production of paralavas. These paralavas were examined compositionally and mineralogically to determine melting conditions, peak temperatures, and mobility of different metals as a result of pyrometamorphism. X-ray …

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Cultivating Human-Nature Relationships: The Role Of Parents And Primary Caregivers In Development Of Environmental Identity, Anne E. Bremer Jan 2014

Cultivating Human-Nature Relationships: The Role Of Parents And Primary Caregivers In Development Of Environmental Identity, Anne E. Bremer

Pitzer Senior Theses

Industrialized societies have been characterized by a trend of disconnecting humans from our natural environment, leading to environmental and psychological damage. Therefore, in order to work toward repairing such damage, reconnecting humans and the natural environment is critical. One way of conceptualizing human-nature relationships is through “environmental identity,” a term that describes self-identification as part of a larger ecosystem, aesthetic, spiritual, or recreational enjoyment of nature, environmentally positive behaviors, and a social, political, or moral identification with environmentalists. Despite the literature having emphasized childhood experience in nature as being essential to the development of an environmental identity, parental influence in …

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Let's Not Eat Alone: A Search For Food Security Justice, Emma Shorr Jan 2014

Let's Not Eat Alone: A Search For Food Security Justice, Emma Shorr

Pitzer Senior Theses

The food justice movement has taken off in recent years. Despite its call for justice in the food system, it has been critiqued as being inaccessible to people who need food the most. The food system marginalizes women, minorities, and low-income people, making these groups the most at risk for food insecurity. Solutions to food insecurity come from both government and non-governmental avenues. This thesis calls for a merger of solutions to food insecurity and food justice in food security justice, and assesses the ability of solutions to food insecurity to confront issues of injustice. Community-based solutions currently have the …

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A Discussion Of The Impact Of Political And Economic Forces On Equitable Access To Potable Water In Ecuador And Recommendations For Improvement Through Better Watershed Management, Eliza States Jan 2014

A Discussion Of The Impact Of Political And Economic Forces On Equitable Access To Potable Water In Ecuador And Recommendations For Improvement Through Better Watershed Management, Eliza States

Pitzer Senior Theses

This thesis will address the impact of political and economic forces on the equitable access to fresh water in Ecuador. Demographic factors such as the rural-to-urban migration and the political and economic forces have strongly influenced the debate over the privatization of the provision of potable water and sanitation services. Within the context of Ecuador, two different approaches by the largest cities, Quito and Guayaquil, are analyzed; in Guayaquil, the services were privatized, while in Quito, the public utility was corporatized, remaining under public control. It concludes arguing that in the face of political instability and a lack of regulatory …

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A Volumetric Study Of Aqueous Butanol Solutions, Priyanka P. Chary Jan 2014

A Volumetric Study Of Aqueous Butanol Solutions, Priyanka P. Chary

Scripps Senior Theses

Alcohol molecules consist of two distinct regions: a polar, hydrophilic alcohol group, and an aliphatic hydrocarbon chain. These regions interact with solvent water molecules in different ways. While the alcohol group acts as a solvent structure breaker by hydrogen bonding with nearby water molecules, the hydrophobic carbon chain acts instead as a solvent structure maker and causes the surrounding water molecules to align themselves in a Clathrate structure. The presence of these two contrasting solute-solvent interactions affects the properties of the solution, among them the molar volume. The partial molar volume of the alcohol is analyzed with respect to three …

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Wetlands And Greenhouse Gas Fluxes: Causes And Effects Of Climate Change – A Meta-Analysis, Robert E. Ventura Jan 2014

Wetlands And Greenhouse Gas Fluxes: Causes And Effects Of Climate Change – A Meta-Analysis, Robert E. Ventura

Pomona Senior Theses

Climate change is one of the largest problems facing this generation. Anthropogenically caused increases of greenhouse gas emissions is a significant culprit to this problem. Although the obvious problems such as cars, industry, and urbanism garnish a significant amount of the criticism, natural sources such as wetlands are also beginning to contribute to this issue. This is becoming increasingly significant as wetlands shift from being sinks of greenhouse gases to becoming sources as various anthropogenic impacts, including global warming itself, begin to affect the health of the wetlands. The aim of this project is to look at four common types …

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