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Full-Text Articles in Physical Sciences and Mathematics

In-Between Frame Generation For 2d Animation Using Generative Adversarial Networks, Francisco Arriaga Pazos May 2024

In-Between Frame Generation For 2d Animation Using Generative Adversarial Networks, Francisco Arriaga Pazos

Open Access Theses & Dissertations

Traditional 2D animation remains a largely manual process where each frame in a video is hand-drawn, as no robust algorithmic solutions exist to assist in this process. This project introduces a system that generates intermediate frames in an uncolored 2D animated video sequence using Generative Adversarial Networks (GAN), a deep learning approach widely used for tasks within the creative realm. We treat the task as a frame interpolation problem, and show that adding a GAN dynamic to a system significantly improves the perceptual fidelity of the generated images, as measured by perceptual oriented metrics that aim to capture human judgment …


Development Of Novel Immobilized Copper–Ligand Complex For Click Chemistry Of Biomolecules, Rene Kandler, Yomal Benaragama, Manoranjan Bera, Caroline Wang, Rasheda Aktar Samiha, W.M.C. Sameera, Samir Das, Arundhati Nag May 2024

Development Of Novel Immobilized Copper–Ligand Complex For Click Chemistry Of Biomolecules, Rene Kandler, Yomal Benaragama, Manoranjan Bera, Caroline Wang, Rasheda Aktar Samiha, W.M.C. Sameera, Samir Das, Arundhati Nag

Chemistry

Copper-catalyzed azide–alkyne cycloaddition click (CuAAC) reaction is widely used to synthesize drug candidates and other biomolecule classes. Homogeneous catalysts, which consist of copper coordinated to a ligand framework, have been optimized for high yield and specificity of the CuAAC reaction, but CuAAC reaction with these catalysts requires the addition of a reducing agent and basic conditions, which can complicate some of the desired syntheses. Additionally, removing copper from the synthesized CuAAC-containing biomolecule is necessary for biological applications but inconvenient and requires additional purification steps. We describe here the design and synthesis of a PNN-type pincer ligand complex with copper (I) …


2024 May - Tennessee Monthly Climate Report, Tennessee Climate Office, East Tennessee State University May 2024

2024 May - Tennessee Monthly Climate Report, Tennessee Climate Office, East Tennessee State University

Tennessee Climate Office Monthly Reports

No abstract provided.


Do You Know The Pangolin?: Analyzing Biodiversity Awareness And Attitudes, Ariel "Jazz" Holcomb May 2024

Do You Know The Pangolin?: Analyzing Biodiversity Awareness And Attitudes, Ariel "Jazz" Holcomb

Honors Theses

Understanding the impact education has on environmental knowledge and values is critical for knowing how we can promote pro-environmental awareness and attitudes. Thus, this study investigated how environmental education level influences awareness and attitudes on environmental issues, specifically the Biodiversity Crisis. Through a survey primarily utilizing Likert scale statements, the researcher evaluated the differences in knowledge and care levels between classes taking an introductory environmental science course, one class of environmental science majors and one for non-majors. One focus point of the course is the world’s most trafficked mammal, the pangolin, so this species was used as a focus species …


Factors Predictive Of The Development Of Surgical Site Infection In Thyroidectomy, A Replication Study Of Myssiorek (2018), Kaitlyn M. Kenig May 2024

Factors Predictive Of The Development Of Surgical Site Infection In Thyroidectomy, A Replication Study Of Myssiorek (2018), Kaitlyn M. Kenig

Capstone Experience: Master of Public Health

The original study aimed to show that thyroidectomy does not result in surgical site infection (SSI) in most cases, and thus routine prescription of antibiotics is not necessary. The study looked to see what risk factors could predict the incidence of SSI. This would highlight those individuals who were at most risk of developing SSI, and then antibiotics would only be prescribed to these individuals instead of all or most individuals who undergo thyroidectomy.

This study used NSQIP data to look at incidence of SSI and look for risk factors that may be predictive of SSI. Only surgeries that were …


Toi-1135 B: A Young Hot Saturn-Size Planet Orbiting A Solar-Type Star, M. Mallorquín, N. Lodieu, V. J. S. Béjar, M. R. Zapatero Osorio, J. Sanz-Forcada, M. R. Alarcon, H. M. Tabernero, E. Nagel, K. A. Collins, D. R. Ciardi, M. Serra-Ricart, J. Orell-Miquel, K. Barkaoui, A. Burdanov, J. De Wit, M. E. Everett, M. Gillon, Eric L.N. Jensen, L. G. Murphy, P. A. Reed, B. Safonov, I. A. Strakhov, C. Ziegler May 2024

Toi-1135 B: A Young Hot Saturn-Size Planet Orbiting A Solar-Type Star, M. Mallorquín, N. Lodieu, V. J. S. Béjar, M. R. Zapatero Osorio, J. Sanz-Forcada, M. R. Alarcon, H. M. Tabernero, E. Nagel, K. A. Collins, D. R. Ciardi, M. Serra-Ricart, J. Orell-Miquel, K. Barkaoui, A. Burdanov, J. De Wit, M. E. Everett, M. Gillon, Eric L.N. Jensen, L. G. Murphy, P. A. Reed, B. Safonov, I. A. Strakhov, C. Ziegler

Physics & Astronomy Faculty Works

Despite the thousands of planets in orbit around stars known to date, the mechanisms of planetary formation, migration, and atmospheric loss remain unresolved. In this work, we confirm the planetary nature of a young Saturn-size planet transiting a solar-type star every 8.03 d, TOI-1135 b. The age of the parent star is estimated to be in the interval of 125-1000 Myr based on various activity and age indicators, including its stellar rotation period of 5.13 ± 0.27 days and the intensity of photospheric lithium. We obtained follow-up photometry and spectroscopy, including precise radial velocity measurements using the CARMENES spectrograph, which …


Forya.Ai Business Plan, Landen Usher May 2024

Forya.Ai Business Plan, Landen Usher

Finance Undergraduate Honors Theses

This thesis presents a comprehensive business plan for Forya.AI, an innovative artificial intelligence-powered platform designed to streamline social media content creation for churches. The platform distinguishes itself by automating the generation of engaging content, leveraging church-provided images to produce visually appealing posts accompanied by contextually relevant captions. By integrating advanced AI algorithms, Forya.AI analyzes uploaded images, identifies thematic elements, and crafts captions that resonate with the spiritual and community values of the church. This process not only enhances the digital presence of religious organizations but also significantly reduces the time and financial resources traditionally required for content development. The business …


A Comprehensive Analysis Of Training Induced Heat-Related Injuries At Fort Moore, Anthony Beger May 2024

A Comprehensive Analysis Of Training Induced Heat-Related Injuries At Fort Moore, Anthony Beger

Data Science Undergraduate Honors Theses

Heat related injuries are a significant problem for the United States Armed Forces. There were over 11,000 confirmed cases of heat-related illnesses that were diagnosed at more than 230 military installations from 2018-2022. These injuries are primarily due to hyperthermia (i.e., abnormally high body temperature) resulting from extreme environmental temperatures, high humidity, medications, or excessive physical work or exercise. Fort Moore has the most heat related injuries of any installation in the U.S. Department of Defense since it is home to one of the largest U. S. Army training posts with most training involving intensive outdoor activity in high heat …


Comparing North American Professional Sports League Season Formats Using Monte Carlo Simulation, Lathan Gregg May 2024

Comparing North American Professional Sports League Season Formats Using Monte Carlo Simulation, Lathan Gregg

Industrial Engineering Undergraduate Honors Theses

Each NFL, NBA, and MLB season consists of a regular season, in which teams play a set number of scheduled games and a playoff, in which qualifying teams compete for a championship. At the conclusion of each season, teams are ranked based on their performance throughout the season. This study aims to investigate the ability of each league's season format to accurately rank teams using Monte Carlo simulation. Matches between two teams are simulated by using the team’s assigned strength ranks to calculate a winning probability for each team. The winning probabilities are simulated with different skill values, dictating how …


Aspirations Incubator: 2017–2023 Final Evaluation Report, Sarah Goan, Elora Way, Emma Schwartz, Becky Wurwarg May 2024

Aspirations Incubator: 2017–2023 Final Evaluation Report, Sarah Goan, Elora Way, Emma Schwartz, Becky Wurwarg

Publications

The Rural Futures Fund launched the Aspirations Incubator in 2017 as a six-year pilot initiative aimed at supporting youth development in rural Maine by increasing resiliency, fostering connections to communities, and expanding students’ awareness of opportunities beyond their everyday environments. The program partnered with select rural youth organizations to build capacity for mentoring-based programs serving students from seventh grade through high school graduation. Guided by the Trekkers Youth Programming Principles, the initiative focused on long-term mentorship, meaningful relationship-building, and community engagement. A comprehensive multi-year evaluation conducted by the Data Innovation Project at the University of Southern Maine examined the implementation …


Implementation Of Explainable Ai For Bearing Fault Classification, Mohammad Mundiwala May 2024

Implementation Of Explainable Ai For Bearing Fault Classification, Mohammad Mundiwala

Honors Scholar Theses

It is difficult to overstate the impact of artificial intelligence (AI) over the past decade. The rapid expansion of machine learning has stimulated a race to deploy AI in all facets of life, one such domain being machine health monitoring. There is no doubt that machine learning excels in prediction accuracy, but oftentimes, these models are cryptic and fail to provide valuable insight into their decisions. This paper presents an overview of a neural network and what it means to learn. Next, two distinct Explainable AI (XAI) techniques will be presented: Gradient Class Activation Mapping and SimplEx . Finally, these …


A Laser Ultrasound System To Non-Invasively Measure Compression Waves In Granular Ice Mixes, J. Chris Mccaslin, T. Dylan Mikesell, Hans-Peter Marshall May 2024

A Laser Ultrasound System To Non-Invasively Measure Compression Waves In Granular Ice Mixes, J. Chris Mccaslin, T. Dylan Mikesell, Hans-Peter Marshall

Geosciences Faculty Publications and Presentations

Accurate knowledge of snow mechanical properties, including Young's modulus, shear modulus, Poisson's ratio, and density, is critical to many areas of snow science and to snow-related engineering problems. To facilitate the assessment of these properties, an innovative non-contacting laser ultrasound system (LUS) has been developed. This system acquires ultrasound waveform data at frequencies ranging from tens to hundreds of kHz in a controlled cold-lab environment. Two different LUS devices were compared in this study to determine which recorded more robust ultrasound in granular ice mix samples. We validated the ultrasound observations with poro-elastic traveltime modeling based on physical and empirical …


Assessment Of Culture Media Conditions For Bacteria/Macrophages Co-Cultures, Sage M. Luebbert May 2024

Assessment Of Culture Media Conditions For Bacteria/Macrophages Co-Cultures, Sage M. Luebbert

Chemistry & Biochemistry Undergraduate Honors Theses

Co-cultures are utilized as a tool in biology to measure immune responses to pathogens. This method involves a coordinated reaction between two populations, a bacterial biofilm of S.aureus and macrophages derived from THP-1 cells. The current state of the art prevents the continuous supply of nutrients and removal of waste products which causes macrophage death. This limits the time to collect samples and therefore the ability to measure proteins within the innate immune response. The time constraint is a major issue for long term co-culturing. This thesis aims to optimize the co-culturing process by developing a two-pump system to …


Comparative Predictive Analysis Of Stock Performance In The Tech Sector, Asaad Sendi May 2024

Comparative Predictive Analysis Of Stock Performance In The Tech Sector, Asaad Sendi

LSU New Orleans Theses and Dissertations

This study compares the performance of deep learning models, including Long Short-Term Memory (LSTM), Gated Recurrent Unit (GRU), and Transformer, in predicting stock prices across five companies (AAPL, CSCO, META, MSFT, and TSLA) from July 2019 to July 2023. Key findings reveal that GRU models generally exhibit the lowest Mean Absolute Error (MAE), indicating higher precision, particularly notable for CSCO with a remarkably low MAE. While LSTM models often show slightly higher MAE values, they outperform Transformer models in capturing broader trends and variance in stock prices, as evidenced by higher R-squared (R2) values. Transformer models generally exhibit higher MAE …


Choreographing The Rhythms Of Observation: Dynamics For Ranged Observer Bipartite-Unipartite Spatiotemporal (Robust) Networks, Edward A. Holmberg Iv May 2024

Choreographing The Rhythms Of Observation: Dynamics For Ranged Observer Bipartite-Unipartite Spatiotemporal (Robust) Networks, Edward A. Holmberg Iv

LSU New Orleans Theses and Dissertations

Existing network analysis methods struggle to optimize observer placements in dynamic environments with limited visibility. This dissertation introduces the novel ROBUST (Ranged Observer Bipartite-Unipartite SpatioTemporal) framework, offering a significant advancement in modeling, analyzing, and optimizing observer networks within complex spatiotemporal domains. ROBUST leverages a unique bipartite-unipartite approach, distinguishing between observer and observable entities while incorporating spatial constraints and temporal dynamics.

This research extends spatiotemporal network theory by introducing novel graph-based measures, including myopic degree, spatial closeness centrality, and edge length proportion. These measures, coupled with advanced clustering techniques like Proximal Recurrence, provide insights into network structure, resilience, and the effectiveness …


Innovative Rate Design As A Free Market Solution To Climate, Resiliency, And Economic Challenges, Brendan J. Moore May 2024

Innovative Rate Design As A Free Market Solution To Climate, Resiliency, And Economic Challenges, Brendan J. Moore

LSU New Orleans Theses and Dissertations

A century-old problem of electricity rate design is cost-shifting between ratepayers (Wellinghoff, J. & Tong, J., 2015). A much newer cost-shifting example of great and increasing importance happens whenever ratepayer generated “renewable energy” is sold to the grid—all too often, this is accused of being unfairly rewarded (Ritchie, 2016). ProRate resolves both these concerns and ProRate can actually be derived simply from the premise of avoiding “all” cost shifts between ratepayers (Katz, CLEPm Rewards to Arrest Demand Cost-Shifting, 2019; Katz, CLEP5 Rewards to Arrest Energy Cost-Shifting, 2019). Another major problem with the Old Utility Model is the lack of price …


Modeling Prices In Limit Order Book Using Univariate Hawkes Point Process, Wenqing Jiang May 2024

Modeling Prices In Limit Order Book Using Univariate Hawkes Point Process, Wenqing Jiang

LSU New Orleans Theses and Dissertations

This thesis presents a time-changed geometric Brownian price model with the univariate Hawkes processes to trace the price changes in a limit order book. Limit order books are the core mechanism for trading in modern financial markets, continuously collecting outstanding buy and sell orders from market participants. The arrival of orders causes fluctuations in prices over time. A Hawkes process is a type of point process that exhibits self-exciting behavior, where the occurrence of one event increases the probability of other events happening in the near future. This makes Hawkes processes well-suited for capturing the clustered arrival patterns of orders …


The Pawn System: How Procedurally Adaptive Webbed Narratives Create Stories, Steven T. Bordelon May 2024

The Pawn System: How Procedurally Adaptive Webbed Narratives Create Stories, Steven T. Bordelon

LSU New Orleans Theses and Dissertations

This thesis describes the design, implementation, and testing of a novel procedural narrative system called the Procedurally Adaptive Webbed Narrative (PAWN) system. PAWN procedurally generates characters and, responding to choices made by the player, produces more responsive characters and relationships involving the player and these narrative agents. Initially, this thesis discusses other interactive narrative types that exist, such as emergent or event-driven narratives, along with their strengths and weaknesses. It then examines each aspect of PAWN, starting with initial actor generation, then moving to the capturing of game events and translating them into logical objects called Occurrences. These Occurrences are …


Modification, Transport, And Sources Of Hydrocarbon Oxidation Products From Groundwater At Crude Oil And Diesel Spill Sites In Minnesota: Unveiling Common “Theems” Via Spectroscopy & Chromatography, Eduardo E. Turcios Valle May 2024

Modification, Transport, And Sources Of Hydrocarbon Oxidation Products From Groundwater At Crude Oil And Diesel Spill Sites In Minnesota: Unveiling Common “Theems” Via Spectroscopy & Chromatography, Eduardo E. Turcios Valle

LSU New Orleans Theses and Dissertations

In this thesis, petroleum-contaminated groundwater from three spill-affected Minnesota sites—two contaminated with crude oil; one with diesel—is investigated to elucidate whether differences in degradation products from different parent oils exist. After spill events, parent molecules from the leaked oil seep underground and undergo microbial degradation over time, transforming into hydrocarbon oxidation products (HOPs), water-soluble contaminants that infiltrate groundwater aquifers, flowing into nearby environments and towns while exhibiting environmental persistence, toxicity to aquatic biota, and potential risks to humans that become exposed. Spectroscopic and chromatographic study of the structural themes and spatial distributions of HOPs reveals preferential degradation of aliphatic (biolabile) …


Multicolor Bipartite Ramsey Numbers Of Balanced Double Stars, Ella Oren-Dahan May 2024

Multicolor Bipartite Ramsey Numbers Of Balanced Double Stars, Ella Oren-Dahan

Theses, Dissertations and Culminating Projects

Given an integer n ≥ 1, the balanced double star Sn,n is a tree consisting of two vertex disjoint stars with n leaves each, connected at their central vertices by an edge. Given r ≥ 2, we consider the problem of finding the smallest integer N such that every r-colored complete bipartite graph KN,N contains a monochromatic copy of the balanced double star Sn,n. This question is an instance of a problem within Ramsey theory. In this thesis, we cover the history of Ramsey theory and our problem in general, provide an alternative approach to prove the two colored case, …


On The Number Of Strong Dominating Sets In A Graph, Frankie Mennicucci May 2024

On The Number Of Strong Dominating Sets In A Graph, Frankie Mennicucci

Theses, Dissertations and Culminating Projects

This thesis investigates various problems related to the number of strong dominating sets in a graph. Given a graph G, a set of vertices D is said to be dominating if every vertex outside of D has a neighbor in D. Bród and Skupién proved that the number of dominating sets in a tree T on n vertices is at most 2ⁿ⁻¹ + 1. A set S of vertices in a graph G is a strong dominating set if every vertex x outside of S has a neighbor y ∈ S with d(y) ≥ d(x). We investigate the number of …


Changes In Zooplankton Community Structure In A Wetland Metacommunity Following Homogenization From Flooding, Kevin Peteroy May 2024

Changes In Zooplankton Community Structure In A Wetland Metacommunity Following Homogenization From Flooding, Kevin Peteroy

Theses, Dissertations and Culminating Projects

Wetlands in urban areas provide ecosystem services that benefit the environment and society. Through these services, wetlands are able to help mitigate consequences of human activities such as flooding by increasing permeable surface coverage and contaminant filtering from polluted runoff. One such type of wetland, vernal pools, provide important temporary habitat for many organisms, including myriad zooplankton species. For planktonic organisms, flooding events might be disruptive or allow them to disperse to areas that would be otherwise inaccessible. I observed changing abiotic conditions and zooplankton communities in 20 vernal pools at a wetland in Wayne, New Jersey, USA over a …


N-Methylation Of Amphetamine By Phenylethanolamine N- Methyltransferase: Implications For Chronic Therapeutic Use, Mackenzie Pavlik May 2024

N-Methylation Of Amphetamine By Phenylethanolamine N- Methyltransferase: Implications For Chronic Therapeutic Use, Mackenzie Pavlik

Master's Theses

In current forensic analysis, the presence of methamphetamine in a sample is routinely presumed to reflect methamphetamine abuse. This is due to the expectation that individuals either abusing, or receiving amphetamine for therapeutic purposes (e.g. as treatment for ADHD) will not generate any significant levels of methamphetamine as a product of metabolism. We have hypothesized however, that because amphetamine can serve as a substrate for methylation by phenylethanolamine n-methyltransferase (PNMT), (which will be in equilibrium with the reverse demethylation reaction) some individuals chronically taking amphetamine for therapeutic purposes may generate low levels of methamphetamine that would show up on a …


The Forget Time For Random Walks On Trees Of A Fixed Diameter, Lola R. Vescovo May 2024

The Forget Time For Random Walks On Trees Of A Fixed Diameter, Lola R. Vescovo

Mathematics, Statistics, and Computer Science Honors Projects

A mixing measure is the expected length of a random walk on a graph given a set of starting and stopping conditions. We study a mixing measure called the forget time. Given a graph G, the pessimal access time for a target distribution is the expected length of an optimal stopping rule to that target distribution, starting from the worst initial vertex. The forget time of G is the smallest pessimal access time among all possible target distributions. We prove that the balanced double broom maximizes the forget time on the set of trees on n vertices with diameter …


Modeling Vibration Stiffness: An Analytical Extension Of Hertzian Theory For Angular Contact Bearings With A Thin Viscoelastic Coating, Davis R. Burton May 2024

Modeling Vibration Stiffness: An Analytical Extension Of Hertzian Theory For Angular Contact Bearings With A Thin Viscoelastic Coating, Davis R. Burton

Honors Theses

This thesis considers the novel angular contact rolling-element bearings proposed by NASA’s Glenn Research Center, which are coated with a thin solid lubricant that exhibits viscoelastic behavior. Current analytical models for the dynamic stiffness matrix of angular contact bearings, critical for vibration analysis, lack the ability to model the effects of a solid coating, as well as the time dependencies inherent in viscoelastic theory. The author first presents an overview of the stiffness matrix derivation, followed by a treatment of the underlying Hertzian contact theory. An analytical extension of this theory is proposed which accounts for a thin elastic layer …


Encapsulated 2d Materials And The Potential For 1d Electrical Contacts, Sarah Wittenburg May 2024

Encapsulated 2d Materials And The Potential For 1d Electrical Contacts, Sarah Wittenburg

Physics Undergraduate Honors Theses

The utilization of two-dimensional materials and heterostructures, particularly graphene and hexagonal boron nitride, have garnered significant attention in the realm of nanoelectronics due to their unique properties and versatile functionalities. This study focuses on the synthesis and fabrication processes of monolayer graphene encapsulated between layers of hBN, aiming to explore the potential of these heterostructures for various electronic applications. The encapsulation of graphene within hBN layers not only enhances device performance but also shields graphene from environmental contaminants, ensuring long-term stability. Experimental techniques, including mechanical exfoliation and stamp-assisted transfer, are employed to construct three-layer stacks comprising hBN-graphene-hBN. The fabrication process …


A Central Limit Theorem For The Number Of Excursion Set Components Of Gaussian Fields, Dmitry Beliaev, Michael Mcauley, Stephen Muirhead May 2024

A Central Limit Theorem For The Number Of Excursion Set Components Of Gaussian Fields, Dmitry Beliaev, Michael Mcauley, Stephen Muirhead

Articles

For a smooth stationary Gaussian field f on Rd and level ℓ ∈ R, we consider the number of connected components of the excursion set {f ≥ ℓ} (or level set {f = ℓ}) contained in large domains. The mean of this quantity is known to scale like the volume of the domain under general assumptions on the field. We prove that, assuming sufficient decay of correlations (e.g. the Bargmann-Fock field), a central limit theorem holds with volume-order scaling. Previously such a result had only been established for ‘additive’ geometric functionals of the excursion/level sets (e.g. the volume or …


A Statistical Look Into How Common Soccer Metrics Influence Expected Goal Measures In The Professional Game, Tristan George Rumsey May 2024

A Statistical Look Into How Common Soccer Metrics Influence Expected Goal Measures In The Professional Game, Tristan George Rumsey

Undergraduate Honors Thesis Collection

The advent of sports analytics has ignited a fervor across all sporting disciplines, particularly soccer, where clubs are sprinting to harness vast data reserves to elevate team performance, spearhead effective marketing endeavors, and bolster financial gains crucial for club expansion. Much like Billy Beane's transformative "Moneyball" approach, soccer clubs are in pursuit of innovative strategies to transcend financial limitations and achieve triumph. In soccer, where goals are scarce commodities, heightened offensive efficacy becomes imperative. Presently, one metric stands out as pivotal in gauging a team's goal-scoring success: expected goals (xG). This metric quantifies the likelihood of a given shot or …


Tpm^Ph Derivative Of Tungsten; Hydrogen-Bonding In 7-Coordinate Cation Complex, Olivia Ryon Simcox May 2024

Tpm^Ph Derivative Of Tungsten; Hydrogen-Bonding In 7-Coordinate Cation Complex, Olivia Ryon Simcox

Undergraduate Honors Thesis Collection

Tpm^Ph, or tris(3-phenylpyrazolyl)methane reacts with tungsten hexacarbonyl to form the ligand-metal complex tris(3-phenylpyrazolyl)methane tungsten tricarbonyl, or Tpm^PhW(CO)3. The further complexes of Tpm^PhW(CO)3 and Tpm^PhMo(CO)3 are not known. This project aims to explore how the addition of a phenyl substituent to the pyrazole ring on Tpm impacts the synthesis of [Tpm^PhW(CO)3I]+X– and [Tpm^PhW(CO)3H]+X–. The inclusion of this phenyl substituent may impact the possible hydrogen bonding of then hydrogen contained in the carbon-hydrogen bond. This work aims to explore the extent of hydrogen-bonding of the carbon-hydrogen bond of the Tpm^Ph ligand in cationic metal complexes.


New Algorithms For The Multiplication Table Problem, Evan Blom May 2024

New Algorithms For The Multiplication Table Problem, Evan Blom

Undergraduate Honors Thesis Collection

In 1955, Paul Erdős initiated the study of a function that counts the number of distinct integers in an (n × n) multiplication table. That is, he studied M(n) = |{i · j, 1 ≤ i, j ≤ n}|. Much research has been done in regards to both asymptotic and exact approximations of M(n) for increasingly large values of n. Recently, Brent et. al. investigated the algorithmic cost in computing this function. Instead of computing M(n) directly, their approach was to compute it incrementally. That is, given M(n−1), they could quickly compute M(n) using another function δ(n) to count the …