Physical Sciences and Mathematics Commons^™

Skolem Number Of Kagome Lattice Graphs, Braxton Carrigan, Max Martone

Theory & Applications of Graphs

A proper Skolem labelling of a graph $G$ is a function assigning a positive integer to each vertex of $G$ such that any two vertices assigned the same integer are that distance apart in the graph. The Skolem number of a graph is smallest number $n$ such that there exists a proper Skolem labelling only using the positive integers less than or equal to $n$. In this paper, we will begin by proving the Skolem number for another family of subgraphs of the hexagonal lattice and then prove the Skolem number for two families of subgraphs of the Kagome Lattice.

A Deep Learning Framework With Explainable Ai For Atmospheric Blocking Detection And Interpretation, Devansh Khandelwal

Discovery Undergraduate Interdisciplinary Research Internship

Atmospheric blocking is a large-scale quasi-stationary phenomenon in mid-latitude circulation, characterized by persistent high-pressure systems that disrupt the typical west-to-east flow of the jet stream. These systems can cause extreme weather events—such as heatwaves, cold spells, or droughts—that persist for days or even weeks. This study proposes a deep learning framework to predict and interpret the occurrence of atmospheric blocking by integrating geophysical precursors such as geopotential height (Z500), stream function (SF200), and potential vorticity. These features, which are dynamically linked to blocking onset and persistence, serve as inputs to a Convolutional Neural Network model trained on the CESM Large …

Transcendental Formulas For The Coefficients Of Ramanujan's Mock Theta Functions, Gradin Anderson

Theses and Dissertations

Ramanujan's 1920 last letter to Hardy contains seventeen examples of mock theta functions, including the famous third order function f(q), which resemble modular forms of weight 1/2. This list has since been expanded by individuals such as Gordon and McIntosh and the McKay--Thompson series arising in moonshine theory. In 1964, Andrews---improving on a result of Dragonette---gave an asymptotic formula for the coefficients of f(q) and conjectured an exact formula: a conditionally convergent series that closely resembles the Hardy--Ramanujan--Rademacher formula for the partition function. A key breakthrough came in 2001, when Zwegers wrote f(q) as the holomorphic component of a vector-valued …

Search For Higgs Boson Pair Production In The Two Light Leptons And One Tau Final State Using Proton-Proton Collision Data With $\Sqrt{S} = 13$ Tev At The Lhc From The Atlas Detector, Susan Bataju

Physics Theses and Dissertations

In this thesis, a search is presented for the pair production of Higgs bosons in a final state containing two same-charge light leptons (e/$\mu$) and one opposite-charge hadronically decaying tau lepton ($\tau_{h}$). The search is based on a data sample of proton-proton (pp) collisions at a center-of-mass energy $\sqrt{s}$ = 13 TeV, collected by the ATLAS detector during Run 2 (2015-2018) of the Large Hadron Collider (LHC), corresponding to an integrated luminosity of 140 fb$^{-1}$. The Standard Model predicts that the Higgs potential has a non-zero expectation value leading to the spontaneous breaking of electroweak symmetry and when some fundamental …

Assembly Of Non-Close-Packed Poly(N-Isopropylacrylamide) Microgels On Metal Halide Perovskite Films, Amal Alruwaili, Osama M. Alkhudhari, Ran Wang, Zhenyu Jia, Jennifer M. Saunders, Eugenio Picheo, Daniel T.W. Toolan, L. Andrew Lyon, Brian R. Saunders

Engineering Faculty Articles and Research

Hypothesis

Experiments

Statistical Methods For Joint Outcome Modeling And Dynamic Assessment Of Recurrent Events, Zifang Kong

Statistical Science Theses and Dissertations

Recurrent event data frequently arise in clinical studies where individuals experience repeated, possibly related, events over time. These data are often accompanied by sparse and irregular longitudinal measurements, creating challenges for traditional joint modeling approaches that struggle to account for time-dependent associations and within-subject correlations. We propose FRAILTY (Functional Regression with AutoRegressIve fraiLTY), a novel two-step framework that integrates functional principal component analysis (PACE) with a dynamic frailty model featuring autoregressive structure. FRAILTY accommodates both scalar and functional predictors and captures within-subject dependence across recurrent events. To further extend its utility, we develop a multivariate joint modeling framework that simultaneously …

Towards Reliable Clinical Applications Of Ai Models In Radiotherapy, Biling Wang

Statistical Science Theses and Dissertations

Over the past decade, artificial intelligence (AI), particularly through deep learning (DL) techniques, has made significant strides in fields like computer vision (CV) and natural language processing (NLP), leading to transformative advancements across numerous applications. This progress has sparked considerable enthusiasm within the medical field, where DL-related research has grown exponentially since 2015. However, despite these promising developments, the real-world deployment of DL models in healthcare remains limited, especially in safety-critical domains such as radiotherapy (RT), where reliability, safety, and sustained performance are critical. This thesis addresses three core challenges associated with the clinical application of DL models: (1) post-deployment …

Absence Of Phonon Softening Across A Charge Density Wave Transition Due To Quantum Fluctuations, Yubi Chen, Terawit Kongruengkit, Andrea Capa Salinas, Runqing Yang, Yujie Quan, Fanghao Zhang, Ganesh Pokharel, Linus Kautzsch, Stephen D. Wilson, Sai Mu

Faculty Publications

Kagome metals have emerged as a frontier in condensed matter physics due to their potential to host exotic quantum states. Among these, CsV₃Sb₅ has attracted significant attention for the unusual coexistence of charge density wave (CDW) order and unconventional superconductivity, presenting an ideal system for exploring the emergent phenomena from the interplay of phonons, electronic fluctuations, and topological effects. The nature of CDW formation in CsV3Sb5 is unconventional and has sparked considerable debate. In this study, we examine the origin of the CDW state via ab initio finite-temperature simulations of the lattice dynamics. Through a comparative study …

Method For Target Detection In A High Noise Environment Through Frequency Analysis Using An Event-Based Vision Sensor, Will Johnston, Shannon Young, David Howe, Rachel Oliver, Zachary Theis, Brian Mcreynolds, Michael L. Dexter

Faculty Publications

Event-based vision sensors (EVSs), often referred to as neuromorphic cameras, operate by responding to changes in brightness on a pixel-by-pixel basis. In contrast, traditional framing cameras employ some fixed sampling interval where integrated intensity is read off the entire focal plane at once. Similar to traditional cameras, EVSs can suffer loss of sensitivity through scenes with high intensity and dynamic clutter, reducing the ability to see points of interest through traditional event processing means. This paper describes a method to reduce the negative impacts of these types of EVS clutter and enable more robust target detection through the use of …

Math 122: Precalculus Instructor Guide, Seth Lehman

Open Educational Resources

OER Instructor guide for Math 122: Precalculus at Queens College.

Extreme Value Theory View Of High Emitter Diesel Vehicles In The Us From 1991 To 2021, M. Matti Maricq, Gary A. Bishop

Fuel Efficiency Automobile Test Publications

Extreme value theory (EVT) is a statistical method to characterize the tails of distributions, such as high emitter vehicle emissions. The present work addresses the United States (US) diesel fleet. EVT confirms that high emitters contribute disproportionately to adverse air quality. It further reveals that high emitter emissions have responded differently to progressively tighter emissions standards compared to fleet averages. Carbon monoxide (CO) and hydrocarbons (HC) high emitter emissions fell in concert with the fleet average after widespread implementation of the diesel oxidation catalyst to meet US Environmental Protection Agency (EPA) Tier 1 emissions standards, but remained unchanged after introduction …

Two Problems: Hankel Operators And Dyadic Paraproducts, Ana Čolović

Arts & Sciences Graduate Student Theses and Dissertations

Paraproducts can be thought of "parts of a product" of two functions, that isolate particular properties of each of the functions. They have played an essential role in the study of commutators in harmonic analysis, in particular commutators of multiplication by a function and Calder\'{o}n-Zygmund operators. In complex analysis, Hankel and Toeplitz operators can be used to decompose a product of two functions. They play the same role as paraproducts in analyzing commutators of certain operators, so they can be thought of as complex analytic analogues of paraproduct operators. The thesis consists of two parts. In the first part, we …

The Characteristic Function Of The Cube Of A Gaussian Random Variable, Andreas Boukas

Journal of Stochastic Analysis

Using the spectral resolution of the multiplication operator on the Schwartz class of L2(R,C), we compute the characteristic function of the cube of a Gaussian random variable.

Crop Yield Prediction At Multiple Spatial Scales With Statistical Machine Learning, Vaibhav Charan, Pratishtha Poudel

Discovery Undergraduate Interdisciplinary Research Internship

Understanding and accurately predicting crop yield is becoming increasingly important today in the face of global food security challenges, and thus, the availability of standardized data and scalable models is the need of the hour. To support this, researchers have developed CY-Bench (Crop Yield Benchmark), a comprehensive dataset that helps forecast maize and wheat yields on a global scale. This research project primarily involved working with the CY-Bench dataset aiming to improve crop yield prediction through machine learning. Initially, papers explaining the CY-Bench dataset and other papers for agriculture modeling were studied and analyzed in detail. The research then progressed …

08.04.2025 Ored Connect, Liz Williamson

ORED Newsletter

NIH limits AI use and annual proposals accepted per PI

Expanded Genetic And Functional Diversity Of Oceanic Fungi, Xuefeng Peng, David L. Valentine

Faculty Publications

Background

Fungi are known members of marine microbiomes that can act as saprotrophs, parasites, and pathogens. Although a few studies utilizing cultivation-based methods and metabarcoding have been conducted, the diversity, ecological roles, and functional activities of fungi in the open ocean remain vastly underexplored. This gap in knowledge is particularly notable in oxygen minimum zones (OMZ) of the ocean, which have expanded over the past 50 years, affecting marine ecosystems and biogeochemical cycles. The eastern tropical North Pacific Ocean (ETNP) is the largest oxygen minimum zone where fungi have been implicated in the production of the potent greenhouse gas nitrous …

Breast Cancer Survival Rates And Determinants In Ethiopia: A Systematic Review And Meta-Analysis Of Longitudinal Studies, Abenezer M. Tafese, Meseker T. Fentie, Beminate L. Seifu, Angwach A. Asnake, Bikiltu D. Dirbaba, Abdisa G. Jara, Elsabeth Tizazu Asare, Brandon George

College of Population Health Faculty Papers

BACKGROUND: Breast cancer is the most common cancer and the leading cause of cancer mortality among women in Ethiopia, accounting for 32% of new cancer cases and 17.6% of cancer deaths. Despite its growing burden, comprehensive data on survival rates and contributing factors remain limited. This systematic review and meta-analysis aimed to synthesize existing data on breast cancer survival in Ethiopia and identify key determinants influencing outcomes.

METHODS: A comprehensive systematic search was conducted in PubMed, Web of Science, Scopus, Embase, and CINAHL to identify studies on breast cancer survival in Ethiopia published between January 2014 and August 2024. Eligible …

Volumetric Imaging Of Cellular Dynamics Using Light-Sheet Microscopy: From Subcellular Structures To Whole Organisms, Md Nasful Huda Prince

Optical Science and Engineering ETDs

Advancing biomedical imaging requires platforms that combine high-resolution, speed, and stability across biological scales. This dissertation presents three innovations designed to address limitations of conventional light-sheet and oblique plane imaging. First, we introduce Reflected Inline Detection in Epi-Oblique Plane Microscopy (RIDE-OPM), a compact and drift-resistant system that eliminates a tertiary detection path while maintaining alignment flexibility, enabling robust long-term live imaging. Second, we present a high-speed Axially Swept Light-Sheet Microscopy (ASLM) platform for cleared tissues, using dual foci and synchronized sweeping to achieve isotropic sub-micron resolution at up to 40 frames-per-second, a fourfold improvement over standard ASLM. Integrated with a …

Imputation Via Domain Adaptation: Rethinking Variable Subset Forecasting From Knowledge Transfer, Runchang Liang, Qi Hao, Yue Gao, Kunpeng Liu, Lu Jiang, Pengyang Wang, Minghao Yin

Computer Science Faculty Publications and Presentations

Multivariate time series forecasting in practical deployment faces a critical challenge termed Variable Subset Forecasting (VSF), where certain variables accessible during training are entirely missing during inference. This creates a stark discrepancy between the training (source domain with full variables) and inference (target domain with partial variables) environments, disrupting cross-variable dependencies and fragmenting global temporal patterns. Existing imputation methods, limited to transferring local knowledge (e.g., temporal neighbors or pairwise correlations), fail to capture essential global dynamics, leading to severe performance degradation under distribution shifts. To address these challenges, we redefine VSF as a cross-domain knowledge transfer problem and propose VIDA, …

Duality Of Quadrilaterals Via Quaternions, Parker Sjomeling

Summer Undergraduate Research Program (SURP) Symposium

A quaternion is number which is hyper-complex, it has the form,

Where a₁, a₂, a₃, and a₄ are real “scalars”. Then i, j, and k are imaginary numbers which have the following properties:

q = a₁ +a₂i + a₃j + a₃k

Relevant operations on these quaternions include taking the conjugate and the norm (or commonly described as the distance).

The norm of q is equal to:

(a₁)² + (a₂)² + (a₃)² + (a₄)²

The conjugate of q is:

¯q = a …

Building Countably Many Disjoint Stat Sets In Ω1, Jordan Mills

Summer Undergraduate Research Program (SURP) Symposium

The first uncountable ordinal is ω₁. Here, we will describe the process for partitioning ω1 into countably many disjoint stationary (stat) sets. We first partition ω₁ into 2 disjoint stat sets, and then describe the process for continuing to partition ω₁ into infinitely many disjoint stat sets.

Linking Ruthenium(Ii) Polypyridyl Complexes Into Metal-Organic Frameworks Using Iron(Ii) And Zinc(Ii), Taofeek Mayowa Ogungbade

Masters Theses & Specialist Projects

Renewable energy has attracted significant interest in recent years as society seeks to minimize its dependence on fossil fuels. Among the various strategies proposed to achieve this goal, one promising approach is the conversion of carbon dioxide into organic fuels using photocatalysts. Unlike traditional semiconductor photocatalysts, metal-organic frameworks (MOFs) offer advantages such as absorption of visible light, tunable structures, and uniform pore sizes, which enhance their efficiency in the photocatalytic reduction of carbon dioxide.

In this thesis, we report the synthesis, structure, and properties of two novel heteronuclear MOFs that incorporate ruthenium(II) complexes and 3d-block transition metals using 2,2’-bipyridine-5,5’-dicarboxylic acid …

Tides, Tourists, And Tails: Exploring Human-Wildlife Overlap On The Homer Spit, Alaska, Serena Seiler

Masters Theses & Specialist Projects

Coastal areas present unique challenges for human-wildlife coexistence due to their shared use by people and marine species. The Homer Spit in Homer, AK (59.6481° N, 151.5299° W) is a projection of land into Kachemak Bay on which lodging, restaurants, campgrounds, RV parks, fishing, and a variety of coastal activities exist or occur, especially during the summer months. Two of the most popular nearshore marine mammals that attract visitors are sea otters (Enhydra lutris) and harbor seals (Phoca vitulina). These two species spend time swimming, foraging, and resting around the Spit, potentially resulting in co occurrences with humans. Using a …

Rangelands Glossary, Department Of Primary Industries And Regional Development, Western Australia

Natural resources factsheets

An alphabetical list of common Rangelands terminology.

Understanding Structure-Property Relationships Within Polyolefin-Derived Vitrimer Systems, Mikaela Sadri

Dissertations

Polyolefins are extremely ubiquitous materials due to their satisfactory material properties, ease of synthesis, and low cost. Unfortunately, their extensive use has led to a global plastic waste mismanagement problem. As such, notable efforts have recently focused on converting these commodity polymers into vitrimers, or dynamic networks, to extend their use-life and tailor their properties. However, the fundamental polymer physics of these emerging materials, remain largely underexplored, hindering their widespread implementation. To address this challenge and enable a more sustainable future, the overarching goal of my dissertation research is to understand the fundamental structure-property relationships within complex polyolefin-derived vitrimer systems. …

Energy-Stable And Efficient Finite Element Schemes For The Shliomis Model Of Ferrofluid Flows, Guo Dong Zhang, Kejia Pan, Xiaoming He, Xiaofeng Yang

Mathematics and Statistics Faculty Research & Creative Works

In this paper, we aim to design two energy-stable and efficient finite element schemes for simulating the ferrofluid flows based on the well-known Shliomis model. The model is a highly nonlinear, coupled, multi-physics system, consisting of the Navier–Stokes equations, magnetostatic equation, and magnetization field equation. We propose two reliable numerical algorithms with the following desired features: linearity and unconditional energy stability. Several key techniques are used to achieve the required features, including the auxiliary variable method, consistent terms method, prediction-correction method, and semi-implicit stabilization method. The first scheme is based on a hybrid continuous/discontinuous finite elements spatial approximation, and the …

Systematic Review On The Technology’S Role In Supporting Lung Cancer Patients In The Treatment Journey, Safa Elkefi, Polly Wu, Roa Sabra, Steven Feiner, Lanyi Chen, Guy Hembroff, Alicia K. Matthews

Michigan Tech Publications

This systematic review examines the role of technology-based interventions in supporting lung cancer patients during their treatment. It identifies (1) the different technologies utilized, (2) their functions and benefits, and (3) the barriers encountered by patients. The authors searched six databases for literature examining the use of technology to support treatment among lung cancer patients. Twenty-three papers were included. We mapped each technology, telehealth platforms, online portals, and mobile apps, to specific treatment phases (pre-treatment, active treatment, post-treatment) and symptom domains (symptom management (N = 17), emotional distress (N = 12), and patient–provider communication (N = 7)). Our results demonstrate …

Fisheries Research Report No. 353: Ecological Risk Assessment For The North Coast Demersal Scalefish Resource, Kimberley A. Smith, Brett Crisafulli, Gabby E. Mitsopoulos, Fabian I. Trinnie, Taylor Grosse, T Thompson, Stephen J. Newman

Fisheries Research Reports

On the 26 March 2025, the Department of Primary Industries and Regional Development (DPIRD) convened an ecological risk assessment (ERA) of the fisheries that access the North Coast Demersal Scalefish Resource (Resource). This Resource comprises a large number of tropical demersal scalefish species that occur in waters of the North Coast Bioregion, including tropical snappers, emperors and cods.

This document contains the results of the ERA along with the background information used to support the risk scoring process. This includes an overview of the Western Australian commercial fisheries that access the Resource, namely the Pilbara Fish Trawl Interim Managed Fishery, …

Mechanochemical Investigation Of The Solid-State Reduction Of Metal Oxide Species, Trevor Webster

Masters Theses & Specialist Projects

Redox reactions are commonly performed in aqueous solutions. Mechanochemistry offers an alternative route to conduct these reactions in the absence of a solvent. The current research project investigates the feasibility of performing solid-state redox reactions using mechanochemistry as a means to initiate. Utilizing a Wig-L-Bug, sodium metavanadate and vanadium(V) oxide are milled with various inorganic and organic reducing agents. Zn, Mg, Na₂SO₃, ascorbic acid, and benzoic acid were selected due to the agents’ high reduction potential and ability to reduce vanadium(V) species in acidic or basic solutions. The use of X-ray powder diffraction (XRD) and scanning …

Deposition Of Nickel/Iron Oxide Co-Catalysts Onto Titanium Dioxide Towards Water Photolysis, Md Towhidul Islam Tareqe

Masters Theses & Specialist Projects

Photocatalytic water splitting is one potential approach for sustainable hydrogen production, offering an environmentally friendly alternative to fossil fuels. This process typically employs metal–semiconductor hybrid systems, where the semiconductor absorbs sunlight to generate charge carriers, and the metal cocatalyst facilitates charge separation and surface redox reactions. Titanium dioxide (TiO₂) is a widely studied semiconductor due to its stability and abundance, but its limited absorption of the solar spectrum requires the incorporation of efficient cocatalysts. Platinum is regarded as the benchmark cocatalyst due to strong proton binding energy that easily facilitates the reduction of water to produce hydrogen gas. …