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Euler’S Original Derivation Of Elastica Equation, Shigeki Matsutani

Euleriana

Euler derived the differential equations of elastica by the variational method in 1744, but his original derivation has never been properly interpreted or explained in terms of modern mathematics. We elaborate Euler's original derivation of elastica and show that Euler used Noether's theorem concerning the translational symmetry of elastica, although Noether published her theorem in 1918. It is also shown that his equation is essentially the static modified KdV equation which is obtained by the isometric and isoenergy conditions, known as the Goldstein-Petrich scheme.

Early Theories On Fluid Resistance And Translation Of Euler’S “Dilucidationes De Resistentia Fluidorum”, Sylvio R. Bistafa

Euleriana

In 1763, Euler published Dilucidationes de resistentia fluidorum (Explanations on the resistance of fluids), a memoir that challenges the fluid resistance theories proposed by Isaac Newton and d’Alembert. Euler's work explores the resistance experienced by solid bodies moving through fluids, critiquing both Newton's "common rule" and d’Alembert's paradox, which predicted zero resistance for non-viscous fluids. Euler's treatise is divided into two parts: the first focuses on the mathematical modeling of fluid flow patterns, while the second addresses the calculation of fluid resistance on surfaces. Despite significant advancements, Euler's work remains constrained by the limitations of non-viscous fluid assumptions, ultimately grappling …

Assistance For The Calculation Of Sines (Translation Of E246), Julian Schennach

Euleriana

Paralleling his famous relation e^iφ = cos(φ) + i sin(φ), Euler establishes the equality (cos φ + i sin φ)ⁿ = (cos nφ + i sin nφ). He uses it to comprehensively derive trigonometric identities that convert arbitrary powers of sines and cosines of an angle (and products thereof) into sums of sines and cosines of multiples of that angle. Some negative and fractional powers are shown to yield infinite series. Euler further describes a general method to evaluate various infinite series involving weighted trigonometric functions. These results foreshadow Fourier series. As Euler points out, the scope of …

On Amicable Numbers, Jonathan David Evans

Euleriana

This is an English translation of Euler's 1750 paper "De numeris amicabilibus" (E152), the most substantial of his three works with this name. In it, he expounds at great length the ad hoc methods he has developed to search for pairs of amicable numbers, concluding with a list of around 60 new pairs.

A Reader's Guide To Daniel Bernoulli's "Recurrent Series", Stacy Langton

Euleriana

This is a commentary and reader’s guide to Daniel Bernoulli’s article “Observations concerning recurrent series”. It is intended to help the modern reader understand what Bernoulli is doing in that article.

Daniel Bernoulli's "Observations Concerning Recurrent Series", Stacy Langton

Euleriana

Daniel Bernoulli’s article "Observations concerning Recurrrent Series" is one of the gems of the mathematical literature. It describes a numerical method for solving polynomial equations. This method, now known as “Bernoulli’s method”, is still in use today. The basis of the method is the study of certain sequences of numbers that satisfy what we now call linear recurrence relations. Bernoulli’s article shows how to find solutions of these recurrence relations. A nice application is a now well-known formula for the Fibonacci numbers. Bernoulli also uses his theory of recurrence relations to give a proof of an early form of De …

Comprehensive Conversations, Christopher Goff, Erik Tou

Euleriana

An introduction to the contents in Volume 5 (Issue 1) of Euleriana.

Reflections On The “Pore Space Estate”, Joseph A. Schremmer

Oil and Gas, Natural Resources, and Energy Journal

No abstract provided.

The Meaning Of “Other Minerals” And Other Incidents Of Mineral Ownership, Monika U. Ehrman, Colton Franks

Oil and Gas, Natural Resources, and Energy Journal

No abstract provided.

Adverse And Positive Childhood Experiences Affect General Health In Asian American Emerging Adults, Wenyi Chen, Chakra Budhathoki, Maichou Lor, Deborah Gross

International Nursing Research Congress (INRC)

Background: Positive childhood experiences (PCEs) are safe, stable, and nurturing relationships and environments in childhood.1 Both PCEs and adverse childhood experiences (ACEs) are common and can co-occur. Empirical studies have shown that PCEs not only buffer the negative effects of ACEs,2, 3, 4 but also positively impact physical and mental health outcomes independent of ACEs.5, 6, 7, 8 However, few studies have simultaneously examined the influence of ACEs and PCEs in Asian American populations. This study examined the association between ACEs and general health and assessed whether PCEs moderated this association among Asian American emerging adults from diverse backgrounds. …

Evolution Of Scientific Production In Rehabilitation Nursing: A Bibliometric Analysis, Vitor Parola, Adriana Coelho, Hugo Neves, Catarina Lobão, Andreia Lima, Jorge Ferreira, Rafael Alves Bernardes

International Nursing Research Congress (INRC)

This study provides a comprehensive analysis of the evolution of scientific production in rehabilitation nursing from the earliest records in 1946 to 2024. Using PubMed as the primary search platform, a total of 11,837 articles were identified, showcasing a significant increase in research output, especially from the 2000s onwards, with a marked rise in publications in recent years[1]. The bibliometric analysis highlights key trends, including exponential growth in research focused on clinical practice, intervention efficacy, and care management, with 820 articles published in 2023 alone.

The analysis further explores the distribution of themes through co-occurrence maps, identifying distinct research clusters. …

Enduring Uncertainty Through The Lens Of Osteoporosis: A Mixed Methods Study, Caitlin M. Vlaeminck

International Nursing Research Congress (INRC)

Osteoporosis is a chronic illness that affects individuals globally, is underdiagnosed, and often poorly managed. Uncertainty is a phenomenon experienced by individuals diagnosed with chronic illness and is defined as the inability to determine the meaning of illness-related events. Experiencing uncertainty can lead to decreased quality of life (QOL), delays in decision-making, and negative impacts on relationships.

Purpose: This study aimed to determine if individuals diagnosed with osteoporosis experience uncertainty and to determine the lived experience of individuals with osteoporosis. Mishel’s Uncertainty in Illness Theory was used as the theoretical framework.

Method: Participants completed The Mishel Uncertainty in Illness …

Three-Month Trajectories And Key Factors Of Preventive Treatment Efficacy In Patients With Migraine, Ming Jung Tsai, Yen-Feng Wang, Shuu-Jiun Wang, Yu-Chi Chen

International Nursing Research Congress (INRC)

1. Purpose: The primary aim of this study is to explore the trajectories of monthly headache days (MHDs) among patients with migraine over a three-month period following preventive treatment. The secondary aim is to identify key factors that influence these trajectories, providing insights for effective nursing interventions that emphasize health promotion and chronic disease prevention to alleviate the chronic burden of migraine.

2. Methods: A prospective cohort study was conducted at a neurology outpatient clinic in Taiwan, involving 132 migraine patients, of whom 116 completed the 3-month follow-up. Nursing assessments included evaluations of personality traits, sleep quality, anxiety, depression, and …

Effects Of A Communication Intervention On Nursing Home Quality Indicators, Kristine Williams, Clarissa Shaw, Maria Hein, Yelena Perkhounkova, Carissa Coleman, Frances M. Yang, Maria Roche-Dean

International Nursing Research Congress (INRC)

There is a critical need to improve quality of care in long term service and support settings (LTSS).1 Elderspeak communication is linked to behavioral and psychological symptom responses (BPSD) in nursing home (NH) residents with dementia.2 The Changing Talk (CHAT) intervention improved staff communication and reduced resident BPSD in NH care.3,4 To evaluate effects of the CHAT intervention, we compared NH-level quality measures before and after participation in intervention and control groups. Aggregate minimum data set data was extracted for the quarter before and after NHs participated as intervention or no-treatment controls in years 1 and 2 of the CHATO …

Development Of A Cancer Rehabilitation Programme For Women Treated For Gynecological Cancer, Ka Ming Chow, Carmen W. H. Chan, Alexandra Mccarthy, Jiemin Zhu, Kai Chow Choi, Alice W. Y. Leung

International Nursing Research Congress (INRC)

Introduction: Gynaecological cancer (GC) is the second most common cancer worldwide.1 While incidence is rising, advances in cancer diagnosis and treatment mean more women with GC now live longer lives. Cancer rehabilitation has been recommended for people treated for cancer to facilitate their recovery. Women treated for GC report a strong desire for supportive care to motivate them to make the changes necessary to reduce their risk and promote their health post-treatment.2 However, no structured rehabilitation and supportive programme tailored for women treated for GC is available.

Methods: A multimodal cancer rehabilitation programme (MRCI) was developed based on Level I-II …

An Analysis Of Psychological Capital And Influencing Factors Among Disaster Care Reservists, Qianmei Zhong

International Nursing Research Congress (INRC)

Introduction: In recent years, with frequent occurrence of public health emergencies, various infectious diseases and natural disasters have placed a prominent burden on global public health and healthcare systems, especially on healthcare workers. This study aimed to investigate the current state of psychological capital among disaster care reservists and the factors influencing it.

Methods: Between January and February 2024, 330 members of the disaster nursing reserve team from four tertiary general hospitals in Mianyang, China, were surveyed using the STAR questionnaire to obtain information on general demographics, psychological capital, and job burnout.

Results: The total score of psychological capital was …

A Cross-Country Comparison Of The Vitality Acupunch Exercise Effects On Long-Term Care Residents, Kuei-Min Chen, Brittany Murley, Szu-Yu Chen

International Nursing Research Congress (INRC)

Purpose: Traditional Chinese medicine (TCM) oriented chair-based exercises are suitable for older adults living in long-term care facilities (LTC) due to their mild nature. However, their efficacy in different cultural environments was unclear. To address this question, a cross-country comparison study was conducted to test the treatment outcomes of a TCM-oriented chair-based acupunch exercise program, the Vitality Acupunch (VA), administered for both Eastern and Western samples.

Methods: This study adopted a longitudinal design to test the efficacy of the VA program for 80 long-term care older residents in Taiwan (n treatment = 23; n control = 17) and in …

Vr-Glasses And Serious Games To Promote Well-Being And Reduce Stress Of Older Persons In Hospitals, Iris Tamara Schneider, Daniela Karl

International Nursing Research Congress (INRC)

Over the last decades an increasing number of older persons in the population, is recognized worldwide, followed by a rising number of older patients in clinical settings (UN, 2024). Isolation, stress, less activities for the patients (Schneider, 2019), staff shortage and limited time resources are illustrated (Buchnan & Catton 2023, WHO, 2020). Technical innovations may help assist patients reduce stressors. Well examined are effects of training cognitive skills within a virtual reality environment (Apochi et al., 2024, Chan et al., 2024). VR-Glasses and serious games with immersive experiences form an environment by shielding personal surroundings and settings (Doerner et al. …

Mapping Key Components Of Substance Use Disorder Stigma Awareness Education: A Scoping Review, Marianne Adam, Erin Kitt-Lewis, Kat Phillips

International Nursing Research Congress (INRC)

The substance use epidemic is the latest wave in a series of global substance use related public health crises (Mania et al., 2021; Jemberie et al., 2020). A fundamental cause of health inequities, stigma impacts the development of substance use disorder (SUD), undermines treatment efforts, and drives disparities within these crises (Earnshaw, 2020; Nyblade et al., 2019; Carrara et al., 2021). Stigma awareness education is an essential component to prepare nurses and healthcare providers who care for people with SUD. However, the types and quality of stigma awareness educational programs is not well documented in the literature. The purpose of …

Optimizing Clinical Training In Novice Nurse Anesthesia Residents Through Simulation-Based Education, Yasmine Nicole Campbell, Nimisha A. Francis, Valerie J. Diaz

International Nursing Research Congress (INRC)

Background: The educational transition from an intensive care unit nurse to a nurse anesthesia resident (NAR) is challenging. Adequate clinical acumen is expected upon arrival to the learning environment, especially in the context of anesthesia clinical skills and cognitive knowledge. Consequently, providing a learning environment and physical practice builds the foundation for skill sets and enhances NAR proficiency. A routine simulation involving foundational skills in anesthesia will expose NARs routinely to develop workflow, clinical skills, and critical thinking abilities. This quality improvement project aims to evaluate the best evidence-based method for clinical training for first-year nurse anesthesia residents in simulation …

Effects Of A Nurse-Led Hearing Loss Management Intervention For Older Adults On Health Outcomes, Ya-Chuan Tseng, Meei-Fang Lou

International Nursing Research Congress (INRC)

Purpose: To examine the effects of a nurse-led hearing intervention on communication ability, loneliness, depression, quality of life and hearing aid satisfaction in older adults with hearing loss.

Methods: This was a single-blind, parallel-arm, randomized controlled trial with a repeated measure design. Older adults with hearing loss (N =57) were recruited from an otolaryngology clinic of a university-affiliated hospital in northern Taiwan from September 2021 to October 2023. Participants were randomly allocated to either the intervention, a nurse-led 10-week hearing loss management program (n = 28) or wait-listed as controls (n = 29). The program included (1) ten 60-minute one-on-one …

Training And Older Volunteerism: From The Perspectives Of Skill Competency And Motivation, Kuei-Min Chen, Szu-Yu Chen

International Nursing Research Congress (INRC)

Purpose: Training is an integral part of volunteer management, which may be particularly important to older volunteers preparing them with the necessary skills for service provision. However, little was known concerning the outcome differences between trained and untrained older volunteers. This study addressed this question by conducting a longitudinal design research to investigate the outcome differences between trained and untrained older volunteers in skill competency and volunteer motivation over time.

Methods: This study adopted a longitudinal cluster-randomized research design, randomly assigning 156 older volunteers from 10 community care centers to either training or control group (n training = 80, …

Emily Clouser, Mezzo Soprano & Noah Fredericksen, Baritone, In A Student Recital [Program], University Of Northern Iowa. School Of Music.

Music Recital Programs

Program of a music recital given by faculty, students, or guest artists from the School of Music at the University of Northern Iowa.

The Métis And The Manifest Destiny Of The Canadian Northwest, Donald Holler

The Ozark Historical Review

As the United States, hoping to pursue “Manifest Destiny,” attempted to expand until North America truly was the “American” continent, the newly formed Dominion of Canada, ever fearful of its expanding neighbor to the south, tried to cobble together a trans-continental nation and forge its own unique identity and destiny. These two competing impulses came to a head in the long neglected Métis Red River Rebellion of 1869–1870 which sealed the future of the North American continent.

An Assessment Of Transformations In American And Canadian Women Homesteaders In The Mid-Nineteenth To Early Twentieth Century Wests, Rachel Albinson

The Ozark Historical Review

Every woman’s western experience was not the same, regardless of whether they were from the United States or Canada. Therefore, the various physical, social and psychological transformations of each woman who made the journey west cannot be grouped into one generalization. Yet a great deal can be said for the amount of women who did and did not experience such significant changes during the rough journey westward, changes that are determined by the differences in each woman’s attitude and behavior prior to and after their arrival in the western regions of North America.

Erotic Dream And Governmental Nightmare: Use And Censorship Of Pillow Books In Edo Culture And The Influence Of The "Floating World", Emily Chase

The Ozark Historical Review

The “floating world” of Yoshiwara 吉原, the pleasure district of Edo, capital city of Japan during the Edo period (1600–1868), was a fantasy itself, one that fired the imaginations of the many artists who took it as their subject. Like the licensed red-light district of the capital, which contained both theater and many brothels, the art of the “floating world” was often erotic in nature. This eroticism ranged from the subtly arousing to the pornographic. It is the latter, known as shunga 春画(translated literally as “spring pictures”, but commonly called pillow books in the west) which is especially intriguing. These …

Escape From The "Floating World": Kabuki Theater In Conflict With The Bakufu Government Of Tokugawa Japan (1600-1868), Suzanne Schenewerk

The Ozark Historical Review

Ukiyo 浮世, the “floating world” of the Tokugawa 徳川 era (1600–1868) in Japan, holds a particular fascination that endures to this day. For townfolk and samurai alike, this realm of beauty and entertainment represented an escape from the ordinary, a place where pleasure took priority above all other concerns. However, for the entertainers themselves, this demi-monde was not a temporary refuge from the mundane – quite the opposite. Their occupations conferred them to a strange and, in many ways, unenviable position in society, as caste structure and governmental restrictions isolated performers of the period physically and socially.

Creating The Thomas Mcrae Sanitorium For Negros: Race, Contagion, And Space In Jim Crow Arkansas, Shauna Gibbons

The Ozark Historical Review

The Thomas McRae Memorial Sanatorium for Negroes, located in Alexander, Arkansas, opened its doors in 1931 as the only resource for the entire state’s population of consumptive African Americans. It was touted as one of the best of its kind under the supervision of Dr Hugh A. Browne. But its “kind” was a facility intended for individuals whom whites in the medical and political establishment viewed not only as second class citizens but as biologically and medically different.

A Dutch Translation And Multidimensional Structure Of The Adjustment Scales For Early Transition In Schooling, Robert Hamerslag, Ron Oostdam, Ruben Fukkink, Louis Tavecchio, Paul A. Mcdermott, Zoey Kim

Archives of Assessment Psychology

This study introduces and applies the Dutch translation of the Adjustment Scales for Early Transition in Schooling (ASETS), assessed in 323 kindergarten children across 30 regular schools in the Netherlands. Culturally-tailored, context-informed assessments are essential to address childhood adaptation challenges in early schooling. Starting with a professional translation and back-translation of the ASETS by a translation bureau, a panel of kindergarten teachers critically reviewed the translated items. They ensured reliability, contextual accuracy, and addressed nuances in Dutch school terminology, bridging cultural differences between U.S. and Dutch educational settings. The analysis included Exploratory Factor Analysis, revealing three behavioral problem categories: Aggressive/Oppositional, …

Camera-Based Virtual Input, Weichung Chang

Defensive Publications Series

Conventional input methods for compact electronic devices, such as on-screen virtual keyboards, suffer from limitations including cramped layouts, a lack of tactile feedback, and unsuitability for touchless environments like augmented reality. These issues often lead to frequent typing errors and reduced usability for complex tasks. To address these and other challenges, a camera-based virtual input method is described. Using the camera of a device, images of a user's hand and finger movements may be captured as they tap on any surface or imitate typing in the air. A prediction model analyzes these movements, not as absolute positions, but as relative …