Digital Commons Network^™

How Euler Could Have Done It: Euler And A Heuristic Derivation Of The Prime Number Theorem, Alexander Aycock

Euleriana

We present an argument that leads to the formulation of the Prime Number Theorem that Euler could have given.

Even Repdigits Are Not Perfect: Conclusions From Triangular Numbers, Uwe Hassler

Euleriana

Are there nontrivial repdigits that are perfect numbers? This note gives an answer: not for numbers smaller than $10^{1500}$. This finding follows from results for triangular numbers. Passing by, I review Euler's contributions on polygonal numbers.

Euler And Gauss On The Hypergeometric Function -- A Comparison, Alexander Aycock

Euleriana

We present several results stated by Euler on what is today called the Gaussian hypergeometric function. For this purpose, we compare the results found by Gauss to Euler's results.

The Extent To Which The Earth's Motion Is Perturbed By The Moon, More Accurately Investigated: An English Translation Of E139, Patrick T. Headley

Euleriana

In Tabulae astronomicae solis et lunae (Solar and lunar astronomical tables) (E87), published in 1746, Euler made a first attempt to correct his astronomical tables for the gravitational attraction of the Earth toward the Moon, simply by accounting for the difference between the position of the Earth and the center of gravity of the Earth-Moon system. In this article Euler revisited the problem, noting that this center of gravity would not itself take an elliptical path around the Sun. To model the motion more accurately, Euler considered the separate gravitational attractions of the Sun and Moon acting on the Earth. …

About Infinite Algebraic Curves Whose Indefinite Lengths Equal An Elliptic Arc: An English Translation Of E780, Derek R. Aoki

Euleriana

Euler continues his study of algebraic curves with equal arc length, a subject to which he returned several times. After a brief review, he introduces an infinite family of curves with the same indefinite length as a given ellipse. However, this first family is by his own admission poorly motivated, so he derives directly a different but related family of curves with the same indefinite length as a given ellipse.

Collar Correction For Lenity: Modifying The Rule Of Lenity To Promote More Equitable Application To White-Collar And Blue-Collar Defendants, Brennan Corriston

Fordham Law Review Online

Centuries ago in England, when most crimes were punishable by death, judges—aware of the unfairness of this system—construed penal statutes narrowly. This was “to stem the march to the gallows” and to protect citizens from this overly harsh regime. From these harsh origins arose the rule of lenity, which instructs that when the scope of a criminal statute is ambiguous, courts should select the less harsh—i.e., more lenient—interpretation of the statute. This principle can serve constitutional functions: lenity safeguards due process by ensuring that the public has fair notice about the reach of criminal laws, and it safeguards separation of …

Housing & Dining History Index Of Warblers, Mark Hudson

History Index of Warblers

This index was compiled by Mark Hudson, former director of EIU Housing & Dining.

An Adaptive Immersive Training Framework For Miner Self-Escape Readiness In Underground Mining Emergencies, Muhammad Azeem Raza, Samuel Frimpong, Saima Ghazal

Mining Engineering Faculty Research & Creative Works

Underground mining environments are complex and hazardous operations where emergencies continue to happen. Underground mine emergencies require rapid, high-stakes decision-making under conditions of uncertainty, stress, and limited visibility. Conventional mine emergency training largely relies on instruction-based approaches which provide insufficient exposure to the cognitive and behavioral demands of real underground emergency situations. There has been an identified need to train miners for knowledge, skills, abilities, and other characteristics (KSAOs). This study proposes an Adaptive Immersive Training Framework (AITF), a cognitively grounded architecture that integrates cognitive task analysis (CTA), KSAOs, and situational awareness assessment for miner self-escape training and readiness. The …

Provost’S Media Report October 10, 2025 – February 15, 2026, Une Office Of The Provost

UNE Provost's Reports

Report of UNE media appearances during the period of October 10, 2025 through February 15, 2026. Prepared for the Academic, Student, and Research Affairs Committee Provost’s Report, March 2026.

Averaging Principle For A General Class Of Periodic Functions In Discrete Spaces, Martin Bohner, Jaqueline G. Mesquita, Sabrina Streipert

Mathematics and Statistics Faculty Research & Creative Works

In this work, we develop a periodic averaging principle for arbitrary discrete time domains, leveraging a novel definition of periodicity. This definition does not rely on the classical requirement for the time domain itself to be periodic. We implement this averaging principle across diverse discrete time domains and explore a range of periodic functions within this extended context. The paper contains several examples with numerical simulations, providing visual demonstrations of our results. This highlights the versatility of our averaging principle and its potential to understand dynamics of nonautonomous recurrences with complex temporal patterns.

Controllability Of The Semilinear Benjamin–Bona–Mahony Dynamic Equation On Homogeneous Time Scales, Martin Bohner, Cosme Duque, Hugo Leiva

Mathematics and Statistics Faculty Research & Creative Works

This work investigates the approximate controllability and free-time approximate controllability of a generalized semi linear Benjamin–Bona–Mahony type dynamic equation defined on homogeneous time scales, subject to homogeneous Dirichlet boundary conditions. To accomplish this, the problem is framed within an abstract setting, employing the -semigroup theory on time scales. Moreover, we apply a technique introduced by Bashirov et al. [1, 2], which enables us to avoid relying on fixed point theorems.

March 2026 Cafe Newsletter, Missouri University Of Science And Technology

CAFE Faculty Newsletters

Center for Advancing Faculty Excellence (CAFE) newsletter March 2026

The Impact Of Employee Equity Incentives On Enterprise Innovation Efficiency: From The Perspective Of Granting Restricted Stocks To Employees, Zongjie Ji

Dissertations and Theses Collection (Open Access)

Against the dual backdrop of the in-depth implementation of the innovation-driven development strategy and the continuous deepening of SOE reforms, restricted equity has emerged a mainstream instrument for medium- and long-term employee incentives in Chinese SOEs. However, the underlying mechanisms, effect characteristics, and boundary conditions through which employee restricted equity incentives influence innovation efficiency in SOEs remain to be systematically examined. Drawing on panel data of 4,880 firm-year observation from Chinese A-share SOMEs over the period of 2015-2024, this study develops a direct effect model of “Equity Incentives-Innovation Efficiency” from the perspective of employee restricted equity grants. It further introduces …

Winging It: Convergence, Convivencia, And Belonging Of Latina Lawyers, Verónica C. Gonzales

Fordham Law Review

No abstract provided.

Building A Professionally Socialized Immigration Bar: A Comparative Case Study, Jayanth K. Krishnan, Kunle Ajagbe

Fordham Law Review

No abstract provided.

Take Flight With Languages

Dimensions

SCOLT Dimensions Volume 61

The History Of Philanthropic Wealth In Maine, Jillian Foley Mppm, Timothy Atkinson Mppm, Emma Schwartz

Justice Policy

This report (March 2026) was developed in collaboration with the Maine Philanthropy Center to invite readers to engage in an honest exploration of how wealth was accumulated in Maine and how our history continues to shape our communities today. Grounded in research and interviews with historians and philanthropic leaders, the report examines the connections between extractive histories and modern-day philanthropic structures. The authors aim to guide readers to explore the historical context, reflect on their own histories, and consider more equitable, restorative approaches to community-centered giving. While this report was designed with funders and nonprofit leaders in mind, the authors …

The Use Of Video Modeling To Teach Algebraic Equations To Secondary Students With And At-Risk For Disabilities, Maria Mcgrath, Emily Hornung, Shannon Gormley Budin

The Journal of Special Education Apprenticeship

Identifying mathematics interventions that are efficient, effective, and increase independence are vital for students with or at-risk for mathematics disabilities. Interventions used in general education or instructional support settings must also be feasible and allow teachers to meet both individual as well as whole-class needs. Digital technologies such as video modeling can embody several high-leverage instructional practices at once to facilitate the learning of fundamental mathematics concepts, such as algebra. A multiple baseline across participant design with an additional nonconcurrent replication in an applied setting was used to evaluate the effectiveness of video modeling on student ability to solve two-step …

Coaching Parents To Use Naturalistic Developmental Behavioral Interventions, Lin Zhu, Kerry Kisinger

The Journal of Special Education Apprenticeship

This practitioner article examines the use of Naturalistic Developmental Behavioral Interventions (NDBIs) to enhance communication skills through the vignette of a 4-year-old with speech delays. Through brief coaching sessions, the child’s parents learned techniques like imitation and prompting, integrating them into daily routines to improve vocal communication. The intervention highlighted the effectiveness of engaging caregivers as active participants and tailoring strategies to family contexts, leading to positive outcomes for both the child and family. This article outlines the procedures for practitioners to coach parents to implement evidence-based practices that can promote academic and behavioral growth in a naturalistic setting.

The Fourth Amendment's Right To Be Secure, Thomas K. Clancy

William & Mary Bill of Rights Journal

Beginning with a 1998 article and through the editions of my treatise, I have argued that the right to be “secure” must be properly understood. The right to be secure is the powerful ability to exclude the government, and it protects against physical and technological intrusions. As will be discussed, my interpretation has had some influence among courts and scholars. Several academics have taken time to discuss it, and it has been noticed in the Supreme Court. This Essay seeks to dispel some of those characterizations and clarify the meaning of the right to be secure.

The Amendment in its …

Handling Item-Level Missing Data In Linear Regression: A Tutorial, Guyin Zhang, Lihan Chen, Dexin Shen

Faculty Publications

With advances in methodology and statistical software, modern methods for handling missing data have become more accessible and straightforward to apply. In psychological studies, researchers often use questionnaires or scales composed of multiple items to measure constructs of interest. As a result, missing values frequently occur at the item level, whereas data analyses are typically conducted at the scale (composite) level. However, properly addressing item-level missing data remains a common challenge for many applied psychologists, including researchers who are otherwise well experienced in handling missing data at the scale level. In this tutorial, we introduce six approaches for handling item-level …

Stress Management And Resilience Among Students Enrolled In The Entry Level Master Of Science In Nursing (Elmsn) Program, Pius Omolewa, Adekemi Adedipe, Nassrine Noureddine, Destiny Roberts

All Faculty Scholarship

Objectives: The aim of the study was to evaluate the effect of mindfulness exercises on stress management and resilience among ELMSN students. Methods: The study was a quasi-experimental design that used a paired samples t-test to compare pre-test and post-test of students’ scores on both GAD-7 anxiety screening tool and short version of Grit-scale. Statistical tests were conducted with significance set at p < 0.05 (two-sided). All analyses were performed using IBM SPSS Statistics, version 31.0 to compare pre-/post-test scores, determine differences, and statistical significance of interventions among the cohort. And a priori power analysis was conducted to determine the required sample size for a paired samples t-test. With an alpha level of 0.05 and a medium effect size (Cohen’s d = 0.50), a total sample size of N = 34 was determined to be sufficient to achieve a power of 0.80. Results: A convenience sample of 40 students (35 females and 5 males) participated in the study. Students had more anxiety before mindfulness exercises (M = 7.00, SD = 5.5) compared to after the mindfulness exercises (M = 6.2, SD = 3.4), t(39) = 1.41, p = 0.17. The effect size was small, d = 0.22. However, the difference in the students’ anxiety levels after the mindfulness exercises was not statistically significant, with a p-value of 0.17. On the resilience, students were less resilient before mindfulness exercises (M = 3.58, SD …

The Use Of High-Fidelity Simulation In Pre-Licensure Nursing Programs: A Systematic Review, Pius Omolewa, John Bressan, Feng Ping Sarah Lee

All Faculty Scholarship

Aim: This study aimed to evaluate the effectiveness of high-fidelity simulation in prelicensure nursing programs as it relates to the confidence, knowledge, and skills of student nurses. Background: Initiatives to improve the quality of prelicensure education in nursing programs include high-fidelity simulations, but research on their impact on student nurses’ confidence, knowledge, and skills remains limited. Nurses’ confidence in practical settings is essential for quality patient care and therapeutic use of self. Methods: Articles published between 2014-2025 that used experimental and quasi-experimental studies on high-fidelity simulations were searched in EBSCO host, Google Scholar, ProQuest, Medline, and Cumulative Index to Nursing …

Failure Of Infrastructure Systems: A Multilevel Network Analysis Of Decision-Making And Influential Behavioral Constructs, Tamima Elbashbishy, Radwa Eissa, Islam H. El-Adaway, Jeffrey S. Russell

Civil, Architectural and Environmental Engineering Faculty Research & Creative Works

High-profile failures of infrastructure systems are often attributed to design flaws. However, these incidents can also stem from a broader set of interconnected decisions made by stakeholders involved in the planning, management, and operation of these systems. While ethical guidelines and professional codes are designed to prevent such failures, cognitive biases may undermine adherence. Previous research efforts, primarily focused on ethical violations using case studies, have overlooked how behavioral ethics constructs and professional conduct could drive these breaches. This paper addresses this knowledge gap by (1) conducting an analysis of three system failure cases at the micro, meso, and macro …

Methodology For Surface Defect Assessment In 3d Concrete Printing Using Computer-Vision And Ultrasonic Testing Considering Structural Build-Up, Seongho Han, Eunjong Ahn, Myoungsu Shin, John S. Popovics, Kamal H. Khayat

Civil, Architectural and Environmental Engineering Faculty Research & Creative Works

This study quantifies how interlayer time gaps and mixture rheology jointly influence interfacial integrity and mechanical performance in 3D concrete printing (3DCP). Two mixtures incorporating identical binders, but differing limestone fineness (4 and 50 μm) were printed with interlayer delays of 0, 2, and 5 min, corresponding to stacking rates of approximately 9, 0.5, and 0.2 m/h. The finer limestone mixture exhibited higher plastic viscosity (13.2 vs. 11.5 Pa s) and faster structural buildup (58 vs. 38 Pa/min), resulting in accelerated early stiffening. Deposition yield stress derived from buildup measurements remained low for 0–2 min (1400–1500 Pa for the higher-thixotropy …

A Diffuse Interface Model And Fully Decoupled, Energy-Stable Scheme For The Two-Phase Ferrofluid Flows In Porous Media, Guo Dong Zhang, Shuai Zhou, Yunqing Huang, Xiaoming He, Xiaofeng Yang

Mathematics and Statistics Faculty Research & Creative Works

We propose a new diffuse interface model for two-phase porous media ferrofluid flows, employing the phase-field method and establishing an associated energy law. This thermodynamically consistent multi-physics model integrates the Cahn-Hilliard equations, Darcy equations, the magnetostatic equation, and magnetization equations. To efficiently solve the system by addressing its inherent nonlinearities, coupling, and saddle-point structure, we incorporate several advanced techniques, including the SAV-ZEC method to handle nonlinearities and couplings, a reformulated approach to decouple the linear coupling of the magnetic potential and magnetization, and the pressure projection method to decouple velocity and pressure. This results in a numerical scheme that is …

“Alaskan Salmon”, Robert Terentieff

The Lindenwood Review: a journal of literary prose

No abstract provided.

Everything Else You Left Behind, Anna Kate Daunt

The Lindenwood Review: a journal of literary prose

No abstract provided.

Look At Yourself, Martha Krausz

The Lindenwood Review: a journal of literary prose

No abstract provided.

Contributors

The Lindenwood Review: a journal of literary prose

No abstract provided.