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Articles 4981 - 5010 of 294583

Full-Text Articles in Physical Sciences and Mathematics

Creating A Random Number Generator Harnessing: Lava Lamps As A Source Of Randomness, Rachel Barter, Nicolas Guerra, Sarah O'Connor Apr 2026

Creating A Random Number Generator Harnessing: Lava Lamps As A Source Of Randomness, Rachel Barter, Nicolas Guerra, Sarah O'Connor

Mathematics & Computer Science Student Scholarship

No abstract provided.

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Investigating The Substrate Specificity Of Azo Bond Reduction In The Human Gut Microbiome, Najoude Claude, Annick Kenfack, Glorimar De Los Santos, Madeline Bormes Apr 2026

Investigating The Substrate Specificity Of Azo Bond Reduction In The Human Gut Microbiome, Najoude Claude, Annick Kenfack, Glorimar De Los Santos, Madeline Bormes

Chemistry & Biochemistry Student Scholarship

The bacteria of the human gut microbiome can metabolize drugs, often causing unintended side effects. The uniqueness and variability of each individual’s microbial composition, coupled with our limited understanding of specific enzyme functions, make the metabolic outcomes of these therapeutics difficult. Azoreductase enzymes are of particular interest due to their ability to reduce azo bonds, which are often found in drugs and food dyes. Azo dyes can also be reduced nonenzymatically by hydrogen sulfide, a bacterial metabolite produced during sulfate and cysteine metabolism. The goal of this study is to examine the specificity and relative kinetics of both enzymatic and …

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Re: Approval Letter For The 2022 Butte Priority Soils Operable Unit (Bpsou) Stormwater Evaluation And Maintenance Report (Dated April 8, 2026), Emma Rott Apr 2026

Re: Approval Letter For The 2022 Butte Priority Soils Operable Unit (Bpsou) Stormwater Evaluation And Maintenance Report (Dated April 8, 2026), Emma Rott

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

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Re: Approval Letter For The 2023 Butte Priority Soils Operable Unit (Bpsou) Stormwater Evaluation And Maintenance Report (Dated April 8, 2026), Emma Rott Apr 2026

Re: Approval Letter For The 2023 Butte Priority Soils Operable Unit (Bpsou) Stormwater Evaluation And Maintenance Report (Dated April 8, 2026), Emma Rott

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

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Probing The Disequilibrium Chemistry Of Two Late T-Dwarfs Using Planetary Intensity Code For Atmospheric Scattering, Crystal-Lynn Jacqueline Bartier Apr 2026

Probing The Disequilibrium Chemistry Of Two Late T-Dwarfs Using Planetary Intensity Code For Atmospheric Scattering, Crystal-Lynn Jacqueline Bartier

Theses and Dissertations

We have performed a detailed analysis of the atmospheric properties of two late-T type brown dwarfs, 2MASSI J0415195-093506 and 2MASS J05591914-140448. For each brown dwarfs, we combined the spectra of each brown dwarf from the ground at 1-2.5 µm, AKARI at 2.5-5 µm, and from the Spitzer Space Telescope at 5-15 µm. For this project, we are particularly interested in probing the extent of vertical mixing. For this analysis, we used the Planetary Intensity Code for Atmospheric Scattering (PICASO), which is a code that creates a radiative transfer model for a given set of atmospheric parameters. With PICASO we find …

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Using Machine Learning To Optimize The Board Game Can't Stop, John C. Carter Apr 2026

Using Machine Learning To Optimize The Board Game Can't Stop, John C. Carter

Honors College Theses

Can’t Stop is a jeopardy dice game invented by Sid Jackson and first published in 1980. It has players rolling four dice to make pairs that advance markers up a board, with the first player to complete three columns winning the game. One of the most important decisions each turn is deciding whether to stop rolling the dice to keep your progress, or risk failing the next roll and losing your progress. Different strategies have been developed on when is the optimal time to stop, using a variety of statistical and mathematical approaches. However, one approach that has not seen …

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Patient-Level Breast Cancer Classification From Multi-View Mammography With Side-Specific Evidence For Interpretability, Bushra Intakhab Apr 2026

Patient-Level Breast Cancer Classification From Multi-View Mammography With Side-Specific Evidence For Interpretability, Bushra Intakhab

Electronic Theses and Dissertations 2020 - Present

Breast cancer remains one of the leading causes of cancer-related death among women. Early detection through screening mammography is therefore very important. However, mammogram interpretation can be difficult because abnormalities may be subtle and spread across different views. The increasing workload of radiologists can also affect timely analysis. Artificial intelligence (AI) has been widely explored to support mammography interpretation by improving speed and consistency. However, many existing AI methods focus on patch-level or image-level analysis rather than the full patient exam. This limits their ability to capture the complete clinical picture, since important information is distributed across multiple views. In …

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Re: Conditional Approval Letter For Diggings East 95 % Remedial Design Package Submittal (Dated March 25, 2006), The Silver Bow Creek Conservation Area (Sbcca) – 95 Percent Programmatic Technical Specifications Submittal (Dated March 25, 2026), The Butte Priority Soils Operable Unit (Bpsou) Sbcca Operations And Maintenance (O&M) Plan (Dated March 24, 2026), And The Sbcca Final Principles For A Greener Cleanup Report (Dated February 4, 2026), Emma Rott Apr 2026

Re: Conditional Approval Letter For Diggings East 95 % Remedial Design Package Submittal (Dated March 25, 2006), The Silver Bow Creek Conservation Area (Sbcca) – 95 Percent Programmatic Technical Specifications Submittal (Dated March 25, 2026), The Butte Priority Soils Operable Unit (Bpsou) Sbcca Operations And Maintenance (O&M) Plan (Dated March 24, 2026), And The Sbcca Final Principles For A Greener Cleanup Report (Dated February 4, 2026), Emma Rott

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

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Re: Approval Letter For The 2024 Butte Priority Soils Operable Unit (Bpsou) Stormwater Evaluation And Maintenance Report (Dated April 8, 2026), Emma Rott Apr 2026

Re: Approval Letter For The 2024 Butte Priority Soils Operable Unit (Bpsou) Stormwater Evaluation And Maintenance Report (Dated April 8, 2026), Emma Rott

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

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The Euler Characteristic, Cara Admiraal Apr 2026

The Euler Characteristic, Cara Admiraal

SPARK Symposium Presentations

The Euler characteristic is an example of a topological invariant most famously Leonard Euler proved that for any convex polyhedron with $v$ vertices, $f$ faces, and $e$ edges, $v-e+f=2$. In this presentation, we will extend his ideas to define the Euler characteristic for surfaces.

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A Computational Approach To Periodic Orbits Of State-Dependent Delay Differential Equations, Noah Corbett Apr 2026

A Computational Approach To Periodic Orbits Of State-Dependent Delay Differential Equations, Noah Corbett

Electronic Theses and Dissertations 2020 - Present

The field of delay differential equations (DDEs) concerns the study of systems whose evolution depends on certain past states of the system. Of particular interest are the state-dependent DDEs, whose delay terms are non-constant and depend on the current state itself. In this thesis, we provide rigorous solution-finding techniques for a certain class of one-dimensional state-dependent DDEs, as well as a state-dependent delayed Van der Pol equation. This technique is inspired by the classical Picard-Lindelof theorem and is successful in proving the existence and uniqueness of orbits in such systems under certain reasonable restrictions. We then employ the Lagrange-Chebyshev interpolating …

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Spot Scanning Proton Beams Characterization Via Plastic Scintillator Detector, Saad Bin Saeed Ahmed Apr 2026

Spot Scanning Proton Beams Characterization Via Plastic Scintillator Detector, Saad Bin Saeed Ahmed

Electronic Theses and Dissertations 2020 - Present

In spot scanning proton therapy, the machine steers magnetically a narrow pencil beam across the target volume, delivering highly conformal dose distributions layer by layer. As beam size is very small, this introduces a dosimetry problem. The beam is dynamic and the dose gradients are steep — conditions that push conventional ionization chambers beyond their reliable operating range. Plastic scintillation detectors offer a potential solution. Their sub-millimeter active volumes avoid the volume-averaging effects over larger chambers, and their very high temporal resolution making real-time monitoring feasible. This thesis characterizes the Blue Physics plastic scintillation detector in spot scanning proton fields …

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The Item Response Warehouse: What It Is, How To Use It, And Targets For Potential Improvements, Savira D. Nadela, Hansol Lee, Nishka Jain, Ayaan Gupta, Xingyi Zhang, Benjamin W. Domingue Apr 2026

The Item Response Warehouse: What It Is, How To Use It, And Targets For Potential Improvements, Savira D. Nadela, Hansol Lee, Nishka Jain, Ayaan Gupta, Xingyi Zhang, Benjamin W. Domingue

Chinese/English Journal of Educational Measurement and Evaluation | 教育测量与评估双语期刊

The Item Response Warehouse (IRW) is a repository of harmonized item response datasets designed to support secondary analysis and methodological research in psychological and educational measurement. This paper serves as a practical guide for researchers interested in using the IRW. We describe the structure of IRW datasets and the quantitative and qualitative metadata available for dataset selection, and we demonstrate how researchers can navigate the IRW website to explore and compare available tables. We further show how the IRW R and Python packages can be used to filter datasets programmatically, download response-level data, and generate standardized citations for reproducible research …

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Graph Theoretical Modeling Of Self-Assembling Dna Of The Double Cone Graph, Philiffe Tebalan, Evan Burns Apr 2026

Graph Theoretical Modeling Of Self-Assembling Dna Of The Double Cone Graph, Philiffe Tebalan, Evan Burns

Rose-Hulman Undergraduate Mathematics Journal

The unique properties of double-stranded DNA molecules make DNA a valuable structural material with which to form nanostructures, and the field of DNA nanotechnology is largely based on this premise. By modeling nanostructures with discrete graphs, efficient DNA self-assembly becomes a mathematical puzzle. These nanostructures have wide-ranging applications, such as containers for the transport and release of nano-cargos, templates for the controlled growth of nano-objects, and in drug-delivery methods. This research centers around exploring graph theoretical and combinatorial properties of DNA self-assembly to optimize the nanostructure construction for the Double Cone Graph.

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Objections To The Use Of The Axiom Of Choice To Model The Physical World, Kensey Doughtie Apr 2026

Objections To The Use Of The Axiom Of Choice To Model The Physical World, Kensey Doughtie

Rose-Hulman Undergraduate Mathematics Journal

We look at platonistic mathematics and the application of this perspective in the physical world. We recognize paradoxes within Zermelo–Fraenkel set theory with the axiom of choice (ZFC) that conflict with physical reality, giving us reason to question if the axiom of choice should be so freely applied in theories of the physical world especially since it appears to enable a deterministic perspective. In theories of quantum physics, the axiom of choice is used to assume noncomputable numbers as initial conditions. This is equivalent to assuming a finite system contains an infinite amount of information at an instant in time; …

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Vanadium’S Journey From Essential Trace Metal To Emerging Environmental Pollutant In The Anthropocene Era, Tanu Arora, Nivedita Agnihotri, Mohammad Azam Apr 2026

Vanadium’S Journey From Essential Trace Metal To Emerging Environmental Pollutant In The Anthropocene Era, Tanu Arora, Nivedita Agnihotri, Mohammad Azam

Turkish Journal of Chemistry

Vanadium, previously considered a minor trace element, is gaining global environmental attention due to its expanding applications in metallurgy, energy storage, catalysis, and agriculture. With this rise in its industrial and technological uses, however, anthropogenic emissions of vanadium into the atmosphere, soils, and water bodies have also escalated. Unlike many heavy metals, vanadium exhibits complex redox behavior, primarily existing as V(IV) and V(V) species, which significantly impacts its environmental mobility, bioavailability, and toxicity. Vanadium exhibits complex behavior that necessitates an integrated research approach to better understand its various roles in scientific fields. This review summarizes the current knowledge on vanadium’s …

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Computational And Experimental Analysis Of Oleanolic Acid As An Allosteric Activator Of Sirt1, Emrah Sariyer, Eda Dokumacioğlu, Hati̇ce İskender Apr 2026

Computational And Experimental Analysis Of Oleanolic Acid As An Allosteric Activator Of Sirt1, Emrah Sariyer, Eda Dokumacioğlu, Hati̇ce İskender

Turkish Journal of Chemistry

Sirtuin 1 (SIRT1) is a member of the sirtuin protein family and the biological effects of SIRT1 encompass various areas such as the ageing process, metabolism regulation, and cellular stress response. SIRT1 activators are compounds that enhance the activity of SIRT1 enzyme. These activators can be natural or synthetic compounds and have the potential to provide health benefits by augmenting the biological effects of SIRT1. Oleanolic acid (OA) is a triterpenoid compound that has antiinflammatory, antioxidant, and glucose and lipid metabolism-regulating properties naturally found in many plants. The aim of the present study was to investigate the effect of OA …

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Synthesis Of Werner- And Werner-Like-Type Clathrates, Their Characterization, And Theoretical Calculation Of Their Properties, Zari̇fe Si̇bel Şahi̇n, Zeki̇ Kartal Apr 2026

Synthesis Of Werner- And Werner-Like-Type Clathrates, Their Characterization, And Theoretical Calculation Of Their Properties, Zari̇fe Si̇bel Şahi̇n, Zeki̇ Kartal

Turkish Journal of Chemistry

In this paper, the synthesis and structural characterization of three new coordination compounds in crystal structure consisting of a nickel atom, varying numbers of 3-aminopyridine molecules, and two isothiocyanate ion ligands are presented. The crystal structures of these compounds were determined by single crystal X-ray diffraction. Consequently, the explicit formulas and shorthand notations of the compounds are [Ni(NCS)2(C5H6N2)2(H2O)]·(H2O) (1), [Ni(NCS)2(C5H6N2)3]·(C2H6) (2), and [Ni(NCS)2(C5H6N2)4]·2(C5H6N2) (3). The consistency of the crystal structure data was confirmed by elemental analysis and infrared spectroscopy. These coordination compounds are Werner-like-type clathrates containing water, ethane, and 3-aminopyridine molecules as guest molecules in their structures, respectively. According to …

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Investigation Of The Enzyme-Inhibitory, Antibacterial, And Anticancer Properties Of Metal Phthalocyanines, Meryem Topal, Fevzi̇ Topal, Firat Yilmaz, Esra Bulut Atalay, Ümi̇t Muhammet Koçyi̇ği̇t, Emre Güzel Apr 2026

Investigation Of The Enzyme-Inhibitory, Antibacterial, And Anticancer Properties Of Metal Phthalocyanines, Meryem Topal, Fevzi̇ Topal, Firat Yilmaz, Esra Bulut Atalay, Ümi̇t Muhammet Koçyi̇ği̇t, Emre Güzel

Turkish Journal of Chemistry

In this study, the enzyme inhibitory, antibacterial, and anticancer activities of a phthalonitrile derivative and its metal phthalocyanines (Pcs; indium, zinc, copper, cobalt, and manganese; 1–6) were investigated. The cobalt and manganese Pcs were synthesized for the first time in this study. The inhibitory activities of the symmetric Pcs, which were expected to interact with acetylcholinesterase (AChE) and butyrylcholinesterase (BChE) via their 4-(isopropylbenzyl)oxy substituents through host–guest interactions, were investigated. More selective inhibition of AChE than BChE was observed for these compounds. For AChE, CoPc was identified as the most potent inhibitor (IC50 = 14.81 nM), whereas for BChE, InPc was …

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Templating Effect Of Neutral Dithiane Ligands On The Self-Assembly Of Cationic Au(I)-Phosphine Units, Farzane Osanlou, Abdollah Neshat, Mohammad Reza Yousefshahi, Vaclav Eigner, Michal Dusek, Shahram Seidi Apr 2026

Templating Effect Of Neutral Dithiane Ligands On The Self-Assembly Of Cationic Au(I)-Phosphine Units, Farzane Osanlou, Abdollah Neshat, Mohammad Reza Yousefshahi, Vaclav Eigner, Michal Dusek, Shahram Seidi

Turkish Journal of Chemistry

The interactions between the dinuclear Au(I) precursor (dppm)Au2Cl2 and neutral sulfur-containing dithianes (specifically 1,3- and 1,4-dithiane) were examined in the presence of NH₄PF₆. Although these sulfur-based ligands were initially employed to facilitate the formation of mixed phosphine/sulfur Au(I) complexes, single-crystal X-ray diffraction analysis revealed the unexpected generation of multinuclear Au(I) assemblies exclusively coordinated by phosphine ligands. When 1,3-dithiane was present, a trinuclear Au(I) complex was isolated, characterized by a central four-coordinate Au(I) center exhibiting a distorted see-saw geometry, flanked by two terminal Au(I) centers with T-shaped coordination environments. Importantly, the dithiane ligand did not coordinate directly to the gold centers …

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Nucleophilic Cyclization Of N-Propargylated Pyrazole-5-Carboxylates: Synthesis Of Pyrazolo[1,5-A]Pyrazin-4(5h)-One Derivatives, Meli̇k Firat Mengeş, Meltem Tan Uygun Apr 2026

Nucleophilic Cyclization Of N-Propargylated Pyrazole-5-Carboxylates: Synthesis Of Pyrazolo[1,5-A]Pyrazin-4(5h)-One Derivatives, Meli̇k Firat Mengeş, Meltem Tan Uygun

Turkish Journal of Chemistry

Cyclization reactions are among the most important and widely used methods for synthesizing biologically active fused heterocyclic compounds. In the present study, pyrazolopyrazinone derivatives (10a–i) were synthesized from N-propargylated pyrazoles via nucleophilic cyclization with hydrazine hydrate under a nitrogen atmosphere. Nuclear magnetic resonance (NMR) spectral analyses confirmed that ring closure proceeded in a manner consistent with the formation of a six-membered pyrazinone moiety. In addition, the pyrazolotriazepinone derivative 15c was synthesized using an alternative approach. In this method, substitution with chloroacetone was first carried out, followed by ring closure with hydrazine hydrate, affording a seven-membered triazepinone system. Comparison of the …

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Sensitive Stripping Voltammetric Determination Of An Anthracene–Isatin Schiff Base In Biological Samples, Gökçe Öztürk, İrem Gökgöz, Emi̇ne Arslan, Eli̇f Şi̇şman, İnci̇ Seli̇n Doğan, Di̇lek Kul, Fatma Ağin Apr 2026

Sensitive Stripping Voltammetric Determination Of An Anthracene–Isatin Schiff Base In Biological Samples, Gökçe Öztürk, İrem Gökgöz, Emi̇ne Arslan, Eli̇f Şi̇şman, İnci̇ Seli̇n Doğan, Di̇lek Kul, Fatma Ağin

Turkish Journal of Chemistry

​In the present study, the electrochemical behavior and quantitative determination of the Schiff base 3-[(anthracen-2-yl)imino]-5-nitro-1,3-dihydro-2H-indol-2-one (ANT) were investigated for the first time using voltammetric techniques at a glassy carbon electrode. The effects of solvent composition, pH, and scan rate on the redox behavior of ANT were systematically evaluated. The compound exhibited an irreversible oxidation process governed by adsorption-controlled kinetics. Quantitative analysis was conducted using differential pulse stripping voltammetry (AdS-DPV) and square-wave stripping voltammetry (AdS-SWV) under optimized conditions. Both methods exhibited linear responses over the concentration range of 0.2–8.0 μM, with limits of detection of 0.0366 μM and 0.0433 μM for …

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Influence Of Precursor Synthesis Temperature And Hydrothermal Alkaline Medium On Agglomeration And Crystal Phase Of Barium Titanate Nanoparticles, Murat Özen Apr 2026

Influence Of Precursor Synthesis Temperature And Hydrothermal Alkaline Medium On Agglomeration And Crystal Phase Of Barium Titanate Nanoparticles, Murat Özen

Turkish Journal of Chemistry

Phase‑pure, cube‑like barium titanate (BaTiO3) nanoparticles were synthesized via hydrothermal treatment of a single‑source barium-titanium peroxo-hydroxide precursor. Precursor solutions prepared at room temperature, 0 °C, and –10 °C with various storage times exhibited Ba/Ti molar ratios ranging from 0.66 to 1.05 as determined by X-ray fluorescence. Cooling the precursor solution to –10 °C effectively suppressed the polymerization of Ti-O-Ti, yielding near‑ideal stoichiometry and finer precursor particles. Subsequent hydrothermal processing in NH4OH, KOH, and NaOH (0.5–10 M, 100–200 °C) revealed the strong dependence of agglomeration and morphology on the alkaline medium. While NH4OH and KOH resulted in severe agglomeration and the …

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A Masked-Perturbation Model For Destabilization Security Games In Feedback Systems, Gabriel Michael Perry Apr 2026

A Masked-Perturbation Model For Destabilization Security Games In Feedback Systems, Gabriel Michael Perry

Theses and Dissertations

In this thesis, we present a mathematical formulation for increasing cyberphysical system security. This model allows a system administrator to use assumptions about exposed signals to derive defense strategies meant to mitigate the system's vulnerability to feedback perturbation attacks. We begin with a survey of game theory with the goal of building the concepts of resource and security games. We then introduce our model, which is a security game; targets in this game are exposed signals in the model map of the system, and resources are perturbed or introduced dynamical relationships between these signals. This formulation, called the masked-perturbation model, …

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Theoretical Expressivity Of Self-Attention As A Model Of Binary Sequence-To-Sequence Functions And Other Explorations, Dustin Angerhofer Apr 2026

Theoretical Expressivity Of Self-Attention As A Model Of Binary Sequence-To-Sequence Functions And Other Explorations, Dustin Angerhofer

Theses and Dissertations

The self-attention mechanism lies at the heart of modern sequential modeling with deep neural networks, especially in the context of Large Language Models (LLMs). The basic role of self-attention is to capture pairwise interactions between tokens in a sequence. This allows token embeddings to be endowed with context-dependent information before further processing. Despite its widespread use, our theoretical understanding of self-attention is still nascent. In this work, we examine self-attention as a model of binary sequence-to-sequence (seq2seq) functions, which is the simplest non-trivial case to analyze. We find, using VC dimension and the Sauer-Shelah lemma, that in the limit of …

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The Lookahead Transformer, Justin P. Olcott Apr 2026

The Lookahead Transformer, Justin P. Olcott

Theses and Dissertations

Large Language Models (LLMs) are transformer models that generate text autoregressively in two stages: prefill and decode. The prefill stage processes all input tokens in parallel and caches them into the KV cache. The decode stage uses the KV cache, processes a single token at a time, and is generally memory-bandwidth constrained. Each decode step generates a token probability distribution, samples from it, appends the token to the cache, and repeats. This left-to-right, one-at-a-time generation paradigm has proven effective for language modeling in many domains; however, it also has limitations such as token permanence, constant compute per token generation, constant …

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The Synthesis And Evaluation Of Thioxothiazolidin-4-One Compounds As Pim Kinase Inhibitors, Kelly Malzewski Apr 2026

The Synthesis And Evaluation Of Thioxothiazolidin-4-One Compounds As Pim Kinase Inhibitors, Kelly Malzewski

Master's Theses (2009 -)

The Proviral integration site for Moloney Murine Leukemia virus (PIM) kinases belongs to the family of serine/threonine kinases consisting of three isoforms; PIM1, PIM2, PIM3. PIM kinase is involved in multiple cellular processes through the phosphorylation of several proteins within the JAK/STAT pathway, leading to cell proliferation, apoptosis inhibition, cell migration, transcription, and energy metabolism. However, disruption or overexpression of PIM within the cycle can have negative, tumorigenesis effects with increased fatality rates. Currently, there are no FDA approved PIM kinase inhibitors available for specific cancer target therapies, despite the growing need and high demand research interests. It is widely …

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Detection Of The Presence And Growth Of E. Coli Bacteria In A Droplet-Based Microfluidic System Using Laser Induced Fluorescence, Oshira Peiris Apr 2026

Detection Of The Presence And Growth Of E. Coli Bacteria In A Droplet-Based Microfluidic System Using Laser Induced Fluorescence, Oshira Peiris

Theses and Dissertations

Antimicrobial resistance is a biomedical event, wherein an infectious microbe becomes non-responsive to the dosage of a particular antibiotic due to previous overuse or overexposure. Currently, agar plate disc diffusion is used as the gold standard for detecting antimicrobial resistance. The possibility of miniaturizing and speeding up detection techniques for antimicrobial resistance is investigated in this thesis. Microfabrication techniques were used in developing two droplet microfluidic systems interfaced with laser induced fluorescence detection. Microfluidic devices were manufactured with different droplet generating geometries using poly-dimethyl siloxane, soft lithography and hydrophobic surface treatment. The microfluidic devices were tested for droplet quality using …

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Bass Numbers Of Veronese Submodules And Lifting The Frobenius Trace, Taylor Jeffrey Murray Apr 2026

Bass Numbers Of Veronese Submodules And Lifting The Frobenius Trace, Taylor Jeffrey Murray

Dissertations and Doctoral Documents, University of Nebraska-Lincoln, 2023–

The first part of this thesis is inspired by the works of G. Lyubeznik, C. Hunkeke, R. Sharp, and L. Núñez-Betancourt on Bass numbers, associated primes, and injective dimension of local cohomology modules. In particular, we study the question: how do Bass numbers behave under the Veronese functors? We show for a positive integer n, a reasonably nice, graded, finitely generated algebra over field R, and a graded module M, that if the Bass numbers of M are finite over R, then so are the Bass numbers of Mn/Rn; this recovers …

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Model Unification: A Systematic Approach For The Cluster Expansion, Kolten Barfuss Apr 2026

Model Unification: A Systematic Approach For The Cluster Expansion, Kolten Barfuss

Theses and Dissertations

A systematic approach for model unification of cluster expansion models is developed and demonstrated. The method builds on previous work with the Manifold Boundary Approximation Method (MBAM) to identify supremal models. The work is motivated by the exercise of unifying cluster expansion models – characterized by Π matrices – for two binary alloys that share one atomic species to form a model for the ternary alloy. The result is the Supremal Π Algorithm, a systematic unification algorithm that relies on an MBAM-informed understanding of models and on the singular value decomposition. The algorithm yields ΠΛ, a Π matrix for the …

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