Digital Commons Network^™

Generalized Arithmetic Progressions And Diophantine Approximation By Polynomials, Alex Rice

Algebra/Number Theory Seminar

We discuss two related notions of ‘approximate subgroups’ inside finite sets of integers: Bohr sets, which capture simultaneous diophantine approximation, and symmetric generalized arithmetic progressions (GAPs). For example, let x ∈ ℕ, d ∈ ℕ, and consider the following pair of questions: 1. For fixed λ₁, ..., λ_d ∈ ℝ, how small can we make max{|λ₁n|_��, ..., |λ_d n|_��} for 1 ≤ n ≤ N, where |⋅|_�� denotes distance to the nearest integer? 2. How large can a set of the form {x₁l₁ + ... + x_d l_d : -L_i ≤ l_i ≤ L_i} ⊆ [N, N] be before it …

Robotics: The Ponderings Of An Hospital Ceo In The Netherlands, Gerard Van Der Star, Arjen Van Klink Dr

Case Studies

A CEO of a Dutch public hospital contemplates about what he just read. This is disrupting news! It will have major consequences when this way of surgery becomes common good. It requires not only surgeons to rethink their profession but what is more important it requires a total new vision on healthcare in particular. The speed of development in the healthcare robot industry is impressive. How much longer does it take before developers find a way to transform robotic systems from being dependent to semi-autonomous to eventually, fully autonomous systems, like what he just read?

Two To Tango Is Not Enough: How To Build Ecosystems For Smart Service Innovation?, Jan-Philipp BüChler Prof. Dr.

Case Studies

Senior managers of two German mid-sized world market leaders in sensor electronics (ifm electronic) and mechanical engineering (GEA Group) discuss the opportunities and barriers of developing smart service innovations. The case study addresses different roles and patterns in ecosystems of multiple collaborating actors in different stages of development. The open-end discussion invites learners to evaluate the opportunities from different perspectives based on industry-specific experiences.

Undergraduate Student Led Covid-19 Wastewater Surveillance On A University Campus, Nirmal Tamang, Looknauth Mahadeo, Conner Ruland, Shi Miao Yuan, Elias Bou-Chahine

Undergraduate Research (Journal)

No abstract provided.

Brief Amicus Curiae Of The Bruderhof, Clear, Muslim Advocates, And The Sikh Coalition In Support Of Appellant, Stephanie Hall Barclay, Francesca Matozzo

Court Briefs

No. 22-2342
Thomas Walker v. John Baldwin

Appeal from the United States District Court for the Northern District of Illinois, Western Division, Honorable Iain D. Johnston (3:19-cv-50233)

From the Summary of the Argument

The Seventh Circuit should re-examine its precedent to allow for monetary damages for individual capacity suits under the Religious Land Use and Institutionalized Persons Act (RLUIPA) for three reasons. First, RLUIPA’s text follows the same approach as 42 U.S.C. § 1983 and should be interpreted to afford the same types of broad remedies. Before Employment Division of Oregon v. Smith, 494 U.S. 872 (1990), reduced the …

Clifton Leslie Rogers Papers, 1941-1990, Clifton Leslie Rogers

Center for Restoration Studies Archives, Manuscripts and Personal Papers Finding Aids

No abstract provided.

Suffolk Journal, Vol.86, No. 5, 10/26/2022, Suffolk Journal

Suffolk Journal

No abstract provided.

Dynamics Of Crop Evapotranspiration Of Four Major Crops On A Large Commercial Farm: Case Of The Navajo Agricultural Products Industry, New Mexico, Usa, Koffi Djaman, Komlan Koudahe, Ali T. Mohammed

Department of Agricultural and Biological Systems Engineering: Faculty Publications

Crop evapotranspiration (ETa) is the main source of water loss in farms and watersheds, and with its effects felt at a regional scale, it calls for irrigation professionals and water resource managers to accurately assess water requirements to meet crop water use. On a multi-crop commercial farm, different factors affect cropland allocation, among which crop evapotranspiration is one of the most important factors regarding the seasonally or annually available water resources for irrigation in combination with the in-season effective precipitation. The objective of the present study was to estimate crop evapotranspiration for four major crops grown on the Navajo Agricultural …

Hydrodynamic Behavior Of Stilling Basins With Deflectors To Reduce Supersaturation Of Total Dissolved Gases: Analysis Of Yacyretá And Jorge Cepernic Dams, C. A. Fattor, J. D. Bacchiega, F. Romero, C. Fernández

International Symposium on Hydraulic Structures

High air entrainment to the hydraulic jump is one of the inherent aspects of this macroturbulent flow, extending its presence from the free surface to the bottom. Depending on the variety of fishes in this natural habitat, important values of supersaturation of total dissolved gases (TDG) could be reached immediately downstream of the energy dissipation structure, putting under risk the life of fishes. This article deals with the influence of deflectors designed to reduce TDG on the hydrodynamic behavior of energy dissipators of two important dams. The first one is Yacyretá dam (Paraná River, Argentina – Paraguay) where horizontal deflectors …

Numerical And Experimental Study On Energy Dissipation In Hydraulic Jump: A Comparison Between Horizontal And Sloping Rough Channel Bed, Koroungamba Laishram, Thiyam Tamphasana Devi, Ngangbam Romeji Singh, Potsangbam Albino Kumar

International Symposium on Hydraulic Structures

Hydraulic jumps are used as an energy dissipater, allowing excess energy from downstream flow to be dissipated through hydraulic structures, preventing scouring. Channel roughness is also necessary for good flow control, as it allows more excess energy to be dissipated downstream. To better understand the impact of channel roughness on dissipating energy in an open channel, this study investigates and compares the energy dissipation of hydraulic jumps based on roughened (gravel size 20mm) horizontal and sloping channel bed condition. The experiment was carried out in the Hydraulics Laboratory, Department of Civil Engineering, NIT Manipur (India) in a rectangular channel flume …

Investigation Of Energy Attenuation, Flow Resistance And Impending Motion Of Downstream Bed Material In Rock Ramps, Vishal Singh Rawat, Thendiyath Roshni, Michele Palermo, Simone Pagliara, Deep Roy

International Symposium on Hydraulic Structures

Block ramps are ecofriendly drop structures, which ensure stable downstream river bed, peculiar to flows over macro roughness elements. It uniquely serves an essential paradigm in riverine management, to encounter deliveries in an ecologically sound manner. It permits safe fish passage, stabilizes stream banks and bed profiles and creates habitat diversity. Study of flows over block ramps are quite extensive and are associated with many intricacies. In this paper, flume experiments were conducted in the hydraulic laboratory of National Institute of Technology Patna. The particle densimetric Froude number (F*) was calculated for the mobile bed and chosen to predict the …

Energy Dissipation And Flow Regime Downstream Of Trapezoidal Piano Key Weirs, X. Shen, M. Oertel

International Symposium on Hydraulic Structures

In the past two decades, increasing numbers of piano key weirs (PKW) have been constructed due to their sufficient hydraulic performance and optimized space requirements. Extensive experiments and numerical studies have been carried out to identify the optimal geometry and maximize the discharge capacity. However, less attention has been paid to address energy dissipation processes and the flow structure downstream, especially for in-channel applications. Within the present study, symmetrical trapezoidal piano key weir models were fabricated in two model sizes with different cycle numbers via a 3D printing technique. Both models were tested under equivalent hydraulic conditions to investigate the …

Effect Of Deficient Tailwater On The Performance Of Slotted Roller Bucket Of Indira Sagar Dam, Madhya Pradesh, Vankayalapati S. Ramarao, Amit Kulhare

International Symposium on Hydraulic Structures

Slotted roller bucket type energy dissipators are provided for spillways when the tailwater depth is 1.2 times the sequent depth required for the formation of a hydraulic jump. In slotted roller buckets, the dissipation of energy occurs by the lateral spreading of jet passing through bucket slots in addition to the formation of two complementary rollers as in the solid bucket. These are provided for spillways where the downstream river bed is of sound rock. However, when the tailwater levels are not realised during the release of floods over the spillway and surface and ground rollers are not formed, it …

Angle Effects Of Lidar Measurements On A Flat Surface And In High-Velocity Spillway Flows, R. Li, M. Kramer, S. Felder

International Symposium on Hydraulic Structures

Measurements in aerated high-velocity spillway flows have been traditionally conducted with point-source instruments. LIDAR is a promising remote sensing technology that may be able to provide more detailed insights into the free-surface properties. So far only one laboratory study has investigated the use of LIDAR technology in air-water flows on a spillway model showing that free-surface data in the aerated part of the flow can be recorded with high spatial and temporal resolution. However, the spillway model, as well as the aerated flow region, were quite short and further research is needed to test the performance of LIDAR technology on …

Preliminary Evaluation And Design Of A New Energy Dissipation Stilling Basin Via Numerical And Experimental Modeling, F. Zabaleta, F. A. Bombardelli, S. A. Valbuena

International Symposium on Hydraulic Structures

Design of stilling basins for the dissipation of energy has been established by the seminal tests developed by the U.S. Bureau of Reclamation and the Saint Anthony Falls Laboratory, by mid XX century. Such designs basically include blocks and end sills, dentated or complete. However, those designs need variations in desertic zones, where the end sill is not allowed due to self-cleaning purposes, and no “drop” is possible for the same reason. In the case of the outlet structure for Perris Dam, located in the Riverside County, California, the design of the stilling basin was optimized using a Computational-Fluid-Dynamics (CFD) …

Physical And Numerical Model Studies For Hydraulic Design Of Stilling Basin As An Energy Dissipator Of A Spillway - A Case Study, B. S. Sundarlal, Vaishali Gadhe, S. R. Patnaik, Amol H. Gaikwad

International Symposium on Hydraulic Structures

The design of the stilling basin for a dam spillway is site specific and hydraulic model studies are required to be carried out for evolving the best possible design. A properly designed hydraulic jump stilling basin can ensure 60-70% dissipation of energy in the basin itself. Supported by hydraulic model studies and prototype experience, a suitable stilling basin caters to a variety of conditions covering discharge intensity, head, tail water variation, and topographical conditions. The most serious problem with hydraulic jump type dissipator is more structural strength rather than hydraulic efficiency. Experience in recent years gives many examples of stilling …

A Novel Dual Inlet Tangential Vortex Drop Shaft: An Analytical And Numerical Study, S. Mulligan, S. Pope

International Symposium on Hydraulic Structures

Urban drainage systems are undergoing substantial upgrades to enhance resilience to increased urbanisation, population growth and more intense rainfall events. Typically, in these hydraulic structures, the challenge of dropping water flows over significant elevation differences is overcome using vortex drop shaft structures. Many options are available for transferring flows from a single upstream channel to a lower level using independent vortex drop shafts. However, there are many cases where a manhole is to convey discharge from multiple flow inlets. In this work, a novel dual inlet tangential vortex drop shaft was developed during a full-scale commercial project proposal. The paper …

Submerged Flow Regimes Downstream Of A Weir At Multiple Slopes, K. S. Vikas, A. Sarkar

International Symposium on Hydraulic Structures

The higher water levels unanticipated at the time of floods are not generally considered in the design of hydraulic structures. The present study emphasizes the experimental investigation for the characterization of submerged flow regimes downstream of a rectangular sharp-crested weir at three different slopes (0, 0.004, and 0.008) that are possible with a laboratory flume. The classical flow patterns of submerged regimes, namely impinging jet, surface wave, surface jump, and surface jet regime, were analyzed. The experiments were conducted to examine the water profiles and the variations of different parameters, representing surface jumps and surface waves, with a gradual rise …

Perceptions Of Higher Education: Gender Differences In Utah Secondary School Students, Carlee Dynes, Emily S. Darowski, Susan R. Madsen

Marketing and Strategy Faculty Publications

According to 2020 US Census data, 20.6% of females 25 years or older have earned a bachelor’s degree, compared to 19.8% of men.¹ Within the same age group in Utah, females show the same pattern: 23.4% have earned a bachelor’s compared to 22.6% of males. Although statistics show gains in female educational attainment, females in Utah are more likely to have participated in some college with no degree (26.2%) or have an associate degree (11.1%), compared to males in Utah (24.9% and 8.8%, respectively). Additionally, although national rates show more females (13.0%) than males (12.4%) have earned graduate or …

2022-10-26_Michiganoverview_Covidvaccinestats, Michigan Department Of Health & Human Services

Michigan COVID-19 Vaccine Data

The COVID Vaccine Dashboard page was obtained from Michigan's main COVID-19 page: https://www.michigan.gov/coronavirus/resources/covid-19-vaccine/covid-19-dashboard.

First-dose tracker above is for entire Michigan Population. Coverage maps below are for age 5+.

Previously reported numbers of administered vaccine doses may change as new data are received. A possible lag in reporting vaccine doses will result in increases in numbers previously reported.

This report is created by the Michigan Department of Health and Human Services Division of Immunization from data reported to the Michigan Care Improvement Registry (MCIR).

The dashboard contained the tabs Primary Series Doses Administered, Primary Series Doses by Vaccine, …

Usa V. Roman Murray

2022 Decisions

USDC for the Middle District of Pennsylvania

Larry Dockery V. Stephen Heretick

2022 Decisions

USDC for the Eastern District of Pennsylvania

The Global Implications Of Xi Jinping’S Formidable Power, Erika Simpson

Political Science Publications

This abstract examines recent developments within the Chinese Communist Party (CCP) under the leadership of President Xi Jinping, highlighting its trajectory towards enhanced surveillance capabilities and centralized control. The CCP's emphasis on maintaining internal stability and ideological purity, exemplified by Xi's consolidation of power and suppression of dissent, raises concerns about the party's commitment to political reform and economic openness. The narrative explores implications for China's domestic governance, international relations—particularly regarding Taiwan—and global technological competition. It argues that while China's economic prowess continues to expand, its increasingly authoritarian governance under Xi Jinping poses challenges to global norms and multilateral institutions. …

Brief For Amicus Curiae Professor Derek T. Muller In Support Of Respondents, Daniel M. Sullivan, Daniel M. Horowitz, Derek T. Muller

Court Briefs

No. 21-1271
Timothy K. Moore v. Rebecca Harper

On Writ of Certiorari to the Supreme Court of North Carolina

From the Summary of Argument

The petition for certiorari in this case presents the question whether the phrase “Legislature thereof” in the Elections Clause of the Constitution bars state courts from regulating the contours of Congressional redistricting pursuant to state constitutions. But Congress has spoken, too. It has regulated the manner of drawing congressional districts by federal statute. See 2 U.S.C. § 2c. Congressional redistricting in a State now takes place pursuant to this federal statutory directive, which contemplates a role …

2022 Celebration Of Scholarship, Creativity, And Engagement, Todd Bruns, Beth Heldebrandt

Programs

At this annual celebration, the entire Division of Academic Affairs is pleased that the important work of faculty continues and evolves as EIU’s professors have individually and collectively redefined the boundaries of scholarship, creativity, and innovation for the emerging post-COVID era. Indeed, we are excited to come together to celebrate the achievements and outstanding contributions of our colleagues and students to their disciplines and professions. And, as the following pages illustrate, faculty have engaged in continuing scholarly and creative activities that have provided outstanding mentoring experiences for our undergraduate and graduate students.

In addition to sharing faculty productivity, research excellence …

2022 October 26 - Undergraduate Curriculum Council Minutes, Undergraduate Curriculum Council, East Tennessee State University

Undergraduate Curriculum Council Minutes

No abstract provided.

2022-10-26 Sga Meeting Minutes, Morehead State University. Student Government Association.

Student Government Association Records

Meeting minutes of the Student Government Association from October 26, 2022.

Finite Element-Based Machine Learning Model For Predicting The Mechanical Properties Of Composite Hydrogels, Yasin Shokrollahi, Pengfei Dong, Peshala T. Gamage, Nashaita Patrawalla, Vipuil Kishore, Hozhabr Mozafari, Linxia Gu

Department of Mechanical and Materials Engineering: Faculty Publications

In this study, a finite element (FE)-based machine learning model was developed to predict the mechanical properties of bioglass (BG)-collagen (COL) composite hydrogels. Based on the experimental observation of BG-COL composite hydrogels with scanning electron microscope, 2000 microstructural images with randomly distributed BG particles were created. The BG particles have diameters ranging from 0.5 μm to 1.5 μm and a volume fraction from 17% to 59%. FE simulations of tensile testing were performed for calculating the Young’s modulus and Poisson’s ratio of 2000 microstructures. The microstructural images and the calculated Young’s modulus and Poisson’s ratio by FE simulation were used …

Surface Velocities And Free-Surface Aeration In A Converging Smooth Chute During A Major Flood Event, H. Chanson, C. J. Apelt

International Symposium on Hydraulic Structures

In a free-surface spillway, the upstream flow is non-aerated and the flow becomes a strong air-water mix downstream of the onset location of air entrapment. Field observations were conducted over a large dam's spillway during a major flood event. The wastewaterway system was a smooth converging chute with a longitudinal slope of 11.3°: the Chinchilla Minimum Energy Loss weir on the Condamine River (Australia). Detailed quantitative measurements were undertaken in the high-speed chute flows with strong turbulence and high Reynolds numbers at the early part and later part of a major flood event. During this exceptional flood, the spillway passed …

Experimental And Numerical Investigation On Critical Submergence For Square Water Intakes, B. Das, Z. Ahmad, P. K. Sharma

International Symposium on Hydraulic Structures

Critical submergence for square water intakes in an open channel flow has been investigated experimentally and numerically in this paper. The depth of water at which the tail of a free surface vortex core just reaches the tip of an intake causing air entrainment is referred to as critical submergence. The formation of an air-entraining vortex in the vicinity of an intake is considered to be a severe problem for pumps. Experiments were conducted in a concrete flume of 9.47 m length, 0.5 m wide, and 0.6 m deep with an intake of size 0.04 m×0.04 m under uniform flow …