Digital Commons Network^™

The Impact And Legacy Of The Kaplans, Craig Daniels

Journal of Math Circles

As we conclude this special issue on the Kaplans, we want to leave you with some reflections on their legacy. Craig Daniels attended seven week-long Math Circle Institutes organized by Bob and Ellen Kaplan at Notre Dame between 2009 and 2016, and was inspired to lead his own Math Circles for many years. Craig collected comments from many people who knew the Kaplans.

Can Physical Activity Improve Students' Stem Achievement? Results Of The Lithuanian Study Of Students In Grades 5–8, Agne Brandisauskiene, Julius Venskus, Egle Kemeryte-Ivanauskiene

Baltic Journal of Health and Physical Activity

Abstract: Background: Recognising the importance of physical activity for students' overall well-being and cognitive functioning, this study aims to investigate the relationship between the achievement of students in grades 5–8 in STEM subjects and their non-formal physical activity. Materials and Methods: The data for this study were gathered from the Lithuanian school management system. To categorize the marks into STEM subjects and non-formal physical sport activities, a RoBeRTa pre-trained model, a tool based on Natural Language Processing (NLP), was utilized. For the hypothesis testing of non-normally distributed data, the Mann–Whitney U test was employed. Results: The results of study show …

Decoding Early Covid-19 Responses Using Mathematical Modeling Of Social Distancing Strategies Across Multiple Countries, Sri Gunturu, Suki Lewis, Katelyn Nguyen, Asma Azizi

Spora: A Journal of Biomathematics

During the early phase of the COVID-19 pandemic, before vaccines were available, countries implemented diverse combinations of social-distancing (SD) measures shaped by cultural norms and public acceptance. These differences produced varied outcomes in controlling viral spread, offering lessons for future health-crisis preparedness. We performed a reverse-engineering analysis of early COVID-19 case data from five socioculturally distinct countries—India, Vietnam, Italy, Finland, and the United States—selected to capture a range of initial prevalence levels. Using mathematical modeling and data fitting, we inferred the relative contributions of three SD interventions: face masking, quarantine, and isolation of infected individuals. We then employed an efficiency …

Optimal Intervention Strategies In Age-Structured Sirvd Model: Epidemiological And Economic Analysis Of Covid-19 In Korea, Joon Chun, Melisa Hendrata

Spora: A Journal of Biomathematics

This study employed an age-structured Susceptible-Infected-Recovered-Vaccinated-Deceased (SIRVD) model to design optimal COVID‑19 intervention strategies by integrating epidemiological dynamics with economic costs. Using empirical data from South Korea, we estimated transmission parameters and analyzed quarantine-based non-pharmaceutical interventions (NPIs) alongside targeted vaccination scenarios. Our results indicated that a stronger form of mild NPI (upper range of Level I), when combined with targeted vaccination that prioritized seniors, achieved substantial reductions in infection peaks and overall economic burden. These findings underscore the effectiveness of age-specific strategies in epidemic management and offer critical insights for policymakers seeking balanced, resource-efficient approaches.

Inhomogeneous Branching Random Walks: Incorporating Genealogy And Density Effects, Lauren Ajax, Beatrice Durham, Pratima Hebbar, Cade Johnston, Jiayi Zhang

Spora: A Journal of Biomathematics

We introduce a novel framework using inhomogeneous branching random walks (BRWs) to model biological processes, specifically by introducing genealogy-dependence in branching rates and displacement distributions to model bacterial colony growth. Current stochastic models often either assume independent and identical behavior of individual agents or incorporate only spatiotemporal inhomogeneity, ignoring the effect of genealogy-based inhomogeneity on the long-time behavior of these processes. Such asymptotics are of independent mathematical interest and are crucial in understanding the emergence of patterns. We propose several inhomogeneous BRW models in 2D space where displacement distributions and branching rates vary with time, space, and genealogy. A combined …

The Kaplans’ Math Circle Method, Amanda Serenevy

Journal of Math Circles

This essay explores what is meant by "The Socratic Method" in classical and modern times and examines the extent to which the Kaplans employed it in their Math Circles. We offer an imagined dialogue between the Kaplans and their students on the same mathematical subject explored by Socrates and the slave boy in Plato's dialogue \emph{Meno} to illustrate how the Kaplans might have handled that topic

The Sunday Math Circle, Nathan Pflueger

Journal of Math Circles

Bob and Ellen Kaplan envisioned and organized a style of math circle centered on the idea that children of all ages can work like mathematicians do: creatively, collaboratively, and ecstatically. This article surveys four sample topics covered during a Sunday morning math circle in the Boston area, based on Bob and Ellen's invaluable guidance. I also offer some reflections on what I learned from Bob and Ellen, and how it is reflected in these math circles.

The Polymathematician, Leo Goldmakher

Journal of Math Circles

In loving memory of Bob Kaplan, the wisest and most inspiring seven-year-old I’ve ever met.

A Qualitative Phenomenological Study Of Faculty Members’ Experiences Developing Strategies For Fostering Student Engagement In Synchronous Online Graduate Courses, Cody L. Evans

Doctor of Education Program Dissertations

The purpose of this qualitative phenomenological study was to explore college instructor strategies for fostering student engagement and managing digital distractions in synchronous online graduate-level learning environments. Semi-structured interviews were conducted with five college instructors currently teaching synchronous online graduate-level courses across various disciplines. Data was analyzed via pattern coding to identify recurring themes. Four primary themes emerged from the data: establishing expectations, technology, balancing flexibility with professional standards, and barriers beyond technology. Findings revealed that effective engagement in synchronous online graduate-level learning environments requires intentional course design, relational presence, and adaptability to the professional and personal realities of adult …

Strategic Report: Ir@C60 In Regenerative Medicine And Longevity, Xavier Pillet

Defensive Publications Series

This document, produced with the assistance of GPT-5.2 Thinking and Gemini 3 Raisonnement, is released under the Apache License 2.0. It is a voluntary defensive publication (prior art) and therefore enters the prior art upon release under the applicable patent statutes : EPC Art. 54(2) (European Patent Convention), French IPC Art. L 611-11 (French Intellectual Property Code), 35 U.S.C. §102(a) (United States Patent Act), Chinese Patent Law Art. 22(5) (中华人民共和国专利法), and Japanese Patent Act Art. 29(1) (特許法). It discloses enabling innovations around Ir@C60: arc/laser synthesis, HPLC purification and density-gradient pre-enrichment, QA/QC standards, IV/oral formulations, regenerative biomaterials, bioelectronic sensors, CT imaging …

Report On The Market Deployment Of Endohedral Fullerenes Ag@C60, Xavier Pillet

Defensive Publications Series

This document, produced with the assistance of GPT-5.2 Thinking and Gemini 3 Reasoning, is released under the Apache License 2.0. It is a voluntary defensive publication (prior art) and therefore enters the prior art upon release under the applicable patent statutes : EPC Art. 54(2) (European Patent Convention), French IPC Art. L 611-11 (French Intellectual Property Code), 35 U.S.C. §102(a) (United States Patent Act), Chinese Patent Law Art. 22(5) (両匡丢氡儡吡嘡丣刡氢), and Japanese Patent Act Art. 29(1) (闘旧避). It defensively discloses enabling invention candidates (processes, systems, compositions, methods, software) spanning Ag@C60 synthesis/purification, industrial QA/qualification, diagnostics, imaging, aerospace structural health monitoring, digital …

Feasibility Study: Frugal Production Of Au@C60 (Gold Endohedral Fullerene), Xavier Pillet

Defensive Publications Series

This document, produced with the assistance of ChatGPT 5.2 Thinking and Gemini 3 Raisonnement, is released under the Apache 2.0 licence. It is a voluntary defensive publication (prior art) and therefore enters the prior art upon release under the applicable patent statutes : EPC Art. 54(2) (European Patent Convention), French PC Art. L 611-11 (French Intellectual Property Code), 35 U.S.C. §102(a) (United States Patent Act), Chinese Patent Law Art. 22(5)(中华人民共和国专利法), and Japanese Patent Act Art. 29(1)(特許法). It discloses frugal, industrializable routes to synthesize, purify, characterize, formulate, and deploy Au@C60 (helium arc discharge, composite anodes, arc control, gas recirculation, quench/soot collection, …

Synthetic Organismic Governance: The Utlp Architecture For Biological Time Synchronization, Liquid Aperture Synthesis, And The Epistemology Of Generative Prior Art, Steven Kirkland

Defensive Publications Series

This technical supplement extends the Universal Time Lord Protocol (UTLP) by formalizing the "Mind-Body" governance model required for planetary-scale distributed systems. It asserts that while application layers may utilize political consensus, the underlying timing and transport layers must operate on pre-rational biological principles to maintain stability under relativistic conditions.

This document establishes 103 Prior Art Claims, detailing the specific mechanisms that allow silicon nodes to mimic the homeostatic resilience of biological organisms. Key contributions include:

• Physics (The Liquid Aperture): Defining the governance logic for a Liquid Software-Defined Aperture, where the synchronization layer utilizes "Servo-Locked" frequency modulation (slewing) rather …

  ---

  Go to article

Strategic Report: Bscc-V1 Device For Preserving Epigenetic Integrity, Xavier Pillet

Defensive Publications Series

This document, produced with the assistance of GPT-5.2 Thinking and Gemini 3 Reasoning, is released under the Apache License 2.0. It is a voluntary defensive publication (prior art) and therefore enters the prior art upon release under the applicable patent statutes: EPC Art. 54(2) (European Patent Convention), French IPC Art. L 611-11 (French Intellectual Property Code), 35 U.S.C. §102(a) (United States Patent Act), Chinese Patent Law Art. 22(5) (両匡丢氡儡吡嘡丣刡氢), and Japanese Patent Act Art. 29(1) (闘旧避). This document consolidates an enabling extraction of sixty (60) potentially patentable/defensive ideas for the BSCC-V1 concept: coherent emissions (528 Hz and harmonics), silica micro-resonators, …

Comprehensive Study Of The Topological Phase Resonance Filter (Tprf), Xavier Pillet

Defensive Publications Series

This document, produced with the assistance of GPT-5.2 Thinking and Gemini 3 Reasoning, is released under the Apache License 2.0. It is a voluntary defensive publication (prior art) and therefore enters the prior art upon release under the applicable patent statutes : EPC Art. 54(2) (European Patent Convention), French IPC Art. L 611-11 (French Intellectual Property Code), 35 U.S.C. §102(a) (United States Patent Act), Chinese Patent Law Art. 22(5) (中华人民共和国专利法), and Japanese Patent Act Art. 29(1) (特許法). It discloses chiral micro-helix metamaterial architectures (Berry phase) operating as a passive phase-stabilization filter, a high spin-orbit Cu–Au–Bi alloy, nano-fabrication routes (3D printing …

Strategic Distribution, Digital Marketing, And Open Innovation: Toward Integrated Capability Development For Sme Performance, Johannes Baptista Halik, Maria Yessica Halik, Septin Basongan, Jhoel Mapau

Asia Marketing Journal

This study examines the impact of Distribution Strategy on SME performance, with Digital Marketing and Open Innovation as mediating variables. Using Partial Least Squares Structural Equation Modeling (PLS-SEM), data were analyzed from 250 SMEs in Makassar, Indonesia. The results show that Distribution Strategy positively affects performance, both directly and indirectly through Open Innovation. However, Digital Marketing does not serve as a significant mediator, indicating that its use among SMEs may still be limited to tactical functions. Open Innovation emerges as the strongest contributor, highlighting its role in converting distribution capabilities into performance gains. The study enriches Resource Advantage (R-A) Theory …

Mitigating Appearance Threats: The Differential Effects Of Compensatory Consumption On Self-Control, Yi-Seo Jo, Eunice Eun-Sil Kim

Asia Marketing Journal

Appearance threats, arising from gaps between one’s appearance and societal beauty standards, weaken self-control the capacity to favor long-term goals over immediate impulses. This research explores how compensatory consumption mitigates these effects, focusing on type (within-domain vs. across-domain) and timing (near-future vs. distant-future) across two studies. Rooted in symbolic self-completion and construal level theories, Study 1 examines how compensation type affects self-control under appearance threats, with rumination as a mediator. Findings show across-domain compensation sustains self-control by diverting focus from appearance concerns, unlike within-domain compensation, which heightens rumination and impairs self-regulation. Study 2 investigates how compensation timing moderates these outcomes, …

How Does A Consumer’S Anticipated Happiness Influence Participation In Value Co-Creation? : Focusing On Definition Of Happiness, Minsik Cho, Suna La

Asia Marketing Journal

Value co-creation (VCC) is essential for a new product development, transforming ideas into collaboratively created value-in-use, particularly under Service-Dominant Logic (S-D Logic). Recognizing that consumers engage in VCC with the goal of achieving happiness, this study investigates how anticipated happiness—arising from affective forecasting of VCC experiences—encourages customers’ participation in high-technology VCC initiatives. It also examines how individuals’ definitions of happiness—calmness vs. excitement—influence this process in VCC, using a validated temporal focus manipulation to induce these differing happiness orientations. Results indicate that future-focused individuals tend to define their happiness as excitement, while present-focused individuals associate it with calmness. Then, definitions of …

Research Report And Business Case: “Vcp-V1” Device For Detecting Non-Coherent Photonic Projections, Xavier Pillet

Defensive Publications Series

This document, produced with the assistance of GPT-5.2 Thinking and Gemini 3 Reasoning, is released under the Apache License 2.0. It is a voluntary defensive publication (prior art) and therefore enters the prior art upon release under the applicable patent statutes : EPC Art. 54(2) (European Patent Convention), French IPC Art. L 611-11 (French Intellectual Property Code), 35 U.S.C. §102(a) (United States Patent Act), Chinese Patent Law Art. 22(5) (中华人民共和国专利法), and Japanese Patent Act Art. 29(1) (特許法). This report discloses an optronic + software system (VCP-V1) designed to discriminate real objects from synthetic wavefronts/photonic projections using second-order intensity correlations g(2), …

Chrono-Synchronous Resonance Anchor (Arcs) – Technical And Strategic Report, Xavier Pillet

Defensive Publications Series

This document, produced with the assistance of GPT-5.2 Thinking and Gemini 3 Reasoning, is released under the Apache License 2.0. It is a voluntary defensive publication (prior art) and therefore enters the prior art upon release under the applicable patent statutes : EPC Art. 54(2) (European Patent Convention), French IPC Art. L 611-11 (French Intellectual Property Code), 35 U.S.C. §102(a) (United States Patent Act), Chinese Patent Law Art. 22(5) (中华人民共和国专利法), and Japanese Patent Act Art. 29(1) (特許法). Description: this report discloses systems, materials, methods, and software for clock phase stabilization and jitter reduction (jitter cleaning), based on photorefractive phase memory …

Holonomic Electric Pallet Jack For Narrow Aisle Use, N/A

Defensive Publications Series

A specialized material handling apparatus provides improved efficiency and safety of moving heavy information technology (IT) equipment, such as fully populated computing racks, within constrained operational areas, such as narrow aisles found in datacenters. The weight of high-density computing racks, often exceeding 4,000 pounds, combined with hardware sensitive to vibration, contributes to significant human safety risks and increased personnel requirements for the movement of equipment. The apparatus is configured as a manually driven solution that mimics the operation of standard electric pallet jacks to improve operator learning time and handling. Moreover, the apparatus includes wheels configured to enhance maneuverability and …

Portable Compute Device With Top Surface Ventilation And A Retention Mechanism, Juha Oikarinen

Defensive Publications Series

High-performance portable compute devices, such as those for mixed reality applications, smartphones, or wearable computers, may require consideration for heat generation when operated in confined spaces like a pocket, where air vents may become obstructed. To mitigate this, a device architecture can position both air intake and exhaust vents for an active cooling system on a single surface of the device's housing. The device can also incorporate an integrated retention mechanism, for example, a clip, designed to engage with an edge of a pocket. This configuration may suspend the device, helping to keep the vent-bearing surface exposed to ambient air. …

Blockchain-Based Peer-To-Peer Renewable Energy Trading And Traceability Of Transmission And Distribution Losses, Amit Kumar Vishwakarma, Pratyush Kumar Patro, Adolf Acquaye, Raja Jayaraman, Khaled Salah

Industrial Engineering: Faculty & Staff Publications

In attempts to progress the transition towards decarbonizing energy systems and achieving sustainable development goals linked to energy, renewable energy sources (RES), which are decentrally deployed, are being widely promoted. However, RES are constrained by many barriers, some of which are technical in nature, such as energy losses. For instance, traditional peer-to-peer (P2P) trading systems have been used as a mechanism to advance RES because they offer a promising solution for decentralized energy trading without third-party intermediaries. However, it faces significant challenges, notably in accounting for energy losses during transmission and distribution, thus reducing overall system efficiency. We propose an …

2026 January - Tennessee Monthly Climate Report, Tennessee Climate Office, East Tennessee State University

Tennessee Climate Office Monthly Reports

Hi All,

The main weather and climate story of January 2026 was the major winter storm that impacted the state from Saturday, January 24 through Monday, January 26 with rain, freezing rain, sleet, and snow, followed by extremely cold conditions. Winter storm warnings and winter weather advisories were in place across the state on Friday, January 23, as snow and sleet spread into Tennessee from the west in the overnight hours of Friday into Saturday. Most areas of the state saw an initial round of snow and sleet, before a layer of warm air aloft caused most locations to see …

Infinite Line, Infinite Knowledge: The 'Spera' And Organized Chaos In Lambert's Encyclopedia, The 'Liber Floridus', Ava Romano

Theses and Dissertations

The Liber Floridus is a medieval encyclopedia renowned for its program of circular diagrams, or sperae. Inside this manuscript of 190 chapters, these diagrams frame and embody written knowledge, revealing a connection between encyclopedism and life in the Benedictine monastery by creating a coherent visual organization of chapters.

Following The Thread: Maria Lai’S 1981 Legarsi Alla Montagna, Claire Borre

Theses and Dissertations

This thesis examines Maria Lai’s (1919-2013) Legarsi alla montagna (1981), a three-day, relational project in which seventeen miles of ribbon were wound through the Sardinian town of Ulassai. In its conception, execution, and legacy, Lai’s project represented a significant challenge to traditional monumentality.

Airbnb And The End Of The Local, Nadia Beyersdorf

Theses and Dissertations

This thesis examines how second-home ownership and self-catered tourism reshape community life in Tenby, Wales. While gentrification research often focuses on permanent displacement, less attention has been given to the movement of temporary residents that erodes local culture, social ties, and transforms everyday relationships in coastal towns.

Negotiating Sacred Space: Monastic Endurance And The Spatial Politics Of Sistematizare In 1980s Bucharest, Symantha G. Byrd

Theses and Dissertations

Under Ceaușescu's 1980s Sistematizare program, Bucharest's Orthodox monasteries sustained sacred life through "negotiated resilience": ritual repetition and spatial adaptation under surveillance and constrained visibility. Văcărești, Mihai Vodă, and Antim map a spectrum—erasure, relocation/concealment, and institutional negotiation—complicating binaries of resistance and collaboration.

Retroactive Eligibility Waivers: Innovative Or Ineffective?, Mohamed Kacem Benyamine

Theses and Dissertations

Medicaid’s retroactive eligibility provision covers medical expenses for beneficiaries up to 90 days before the application date. Retroactive eligibility insulates uninsured, low-income households from expensive healthcare emergencies. New Hampshire, Arkansas, and Iowa recently obtained waivers to end retroactive coverage. Using a difference-in-differences design and data from the Behavioral Risk Factor Surveillance System, I evaluate whether changes in retroactive coverage affect enrollment rates and self-reported health. Removing retroactive eligibility has no statistically significant effects on insurance enrollment or self-reported health. However, it does increase rates of access to a doctor by 1.0% overall and by 1.6% for women. Removing retroactive eligibility …

Fugitive Formalisms: Strategies Of Dissemblance And Dissent In The Work Of Queer-Identifying Artists, 1970–Present, Rowan Diaz-Toth

Theses and Dissertations

Utilizing case studies of works by Hélio Oiticica, Scott Burton, and Felix Gonzalez-Torres as points of departure, this thesis puts forth a speculative historical framework for reconsidering queer art practices up through the present day in opposition to regimes of visibility and transparency, exploring the subversive, fugitive potential of non-representational formalisms.