Physical Sciences and Mathematics Commons^™

Rings With (A, B, C) = (A, C, B) And (A, [B, C]D) = 0: A Case Study Using Albert, Irvin R. Hentzel, D. P. Jacobs, Erwin Kleinfeld

Irvin Roy Hentzel

Albert is an interactive computer system for building nonassociative algebras [2]. In this paper, we suggest certain techniques for using Albert that allow one to posit and test hypotheses effectively. This process provides a fast way to achieve new results, and interacts nicely with traditional methods. We demonstrate the methodology by proving that any semiprime ring, having characteristic ≠ 2, 3, and satisfying the identities (a, b, c) - (a, c, b) = (a, [b, c], d) = 0, is associative. This generalizes a recent result by Y. Paul [7].

A Variety Containing Jordan And Pseudo-Composition Algebras, Irvin R. Hentzel, Luiz Antonio Peresi

Irvin Roy Hentzel

We consider 3-Jordan algebras, i.e., the nonassociative commutative algebras satisfying (x^3 y)x=x^3(yx). The variety of 3-Jordan algebras contains all Jordan algebras and all pseudo-composition algebras. We prove that a simple 3-Jordan algebra with idempotent is either a Jordan algebra or a pseudo-composition algebra.

Commutative Finitely Generated Algebras Satisfying ((Yx)X)X=0 Are Solvable, Ivan Correa, Irvin R. Hentzel

Irvin Roy Hentzel

No abstract provided.

Identities Relating The Jordan Product And The Associator In The Free Nonassociative Algebra, Murray R. Bremner, Irvin R. Hentzel

Irvin Roy Hentzel

We determine the identities of degree ≤ 6 satisfied by the symmetric (Jordan) product a○b = ab + ba and the associator [a,b,c] = (ab)c - a(bc) in every nonassociative algebra. In addition to the commutative identity a○b = b○a we obtain one new identity in degree 4 and another new identity in degree 5. We demonstrate the existence of further new identities in degree 6. These identities define a variety of binary-ternary algebras which generalizes the variety of Jordan algebras in the same way that Akivis algebras generalize Lie algebras.

Generalized Alternative And Malcev Algebras, Irvin R. Hentzel, H.F. Smith

Irvin Roy Hentzel

No abstract provided.

Generalized Right Alternative Rings, Irvin R. Hentzel

Irvin Roy Hentzel

We show that weakening the hypotheses of right alternative rings to the three identities (1) (ab,c,d) + (a,b,[c,d]) = a(b,c,d) + (a,c,d)b (2) (α,α,α) = 0 (3) ([a,b],b,b) = O for all α, b, c, d in the ring will not lead to any new simple rings. In fact, the ideal generated by each associator of the form (a, b, b) is a nilpotent ideal of index at most three. Our proofs require characteristic ^2 , ^3 .

Fast Change Of Basis In Algebras, Irvin R. Hentzel, David Pokrass Jacobs

Irvin Roy Hentzel

Given an n-dimensional algebraA represented by a basisB and structure constants, and given a transformation matrix for a new basisC., we wish to compute the structure constants forA relative to C. There is a straightforward way to solve this problem inO(n5) arithmetic operations. However given an O(nω) matrix multiplication algorithm, we show how to solve the problem in time O(nω+1). Using the method of Coppersmith and Winograd, this yields an algorithm ofO(n3.376).

Complexity And Unsolvability Properties Of Nilpotency, Irvin R. Hentzel, David Pokrass Jacobs

Irvin Roy Hentzel

A nonassociative algebra is nilpotent if there is some n such that the product of any n elements, no matter how they are associated, is zero. Several related, but more general, notions are left nilpotency, solvability, local nilpotency, and nillity. First the complexity of several decision problems for these properties is examined. In finite-dimensional algebras over a finite field it is shown that solvability and nilpotency can be decided in polynomial time. Over Q, nilpotency can be decided in polynomial time, while the algorithm for testing solvability uses a polynomial number of arithmetic operations, but is not polynomial time. Also …

Which Factors Influence Student Success In Intermediate Algebra, Math 101-102-103?, Linh T. Ward

Mathematics & Statistics ETDs

At The University of New Mexico (UNM), Intermediate Algebra (MATH 120 and MATH 101-102-103) has historically been a so-called “killer course”, with very low pass rates: approximately 40% in Fall 2009 to Spring 2011 and about 50% from Fall 2011 to Spring 2013. Furthermore, many students failed the class multiple times. Since 2013, a computer system called ALEKS has been used to teach the course and, along with some additional interventions, on Albuquerque/Main campus success rates for MATH 101 have increased to roughly 80% and MATH 102 to about 70%. This thesis provides a strategy to identify those 20-30% as-risk …

Blockade Of Cb1 Cannabinoid Receptor Alters Gut Microbiota And Attenuates Inflammation And Diet-Induced Obesity, Pegah Mehrpouya-Bahrami, Kumaraswamy Naidu Chitrala, Mitra S. Ganewatta, Chuanbing Tang, E Angela Murphy, Reilly Enos, Kandy T. Velazquez, Jamie Mccellan, Mitzi Nagarkatti, Prakash Nagarkatti

Faculty Publications

Obesity is characterized by chronic low-grade, systemic inflammation, altered gut microbiota, and gut barrier disruption. Additionally, obesity is associated with increased activity of endocannabinoid system (eCB). However, the clear connection between gut microbiota and the eCB system in the regulation of energy homeostasis and adipose tissue inflammation and metabolism, remains to be established. We investigated the effect of treatment of mice with a cannabinoid receptor 1 (CB1) antagonist on Diet-Induced Obesity (DIO), specifically whether such a treatment that blocks endocannabinoid activity can induce changes in gut microbiota and anti-inflammatory state in adipose tissue. Blockade of CB1 attenuated DIO, inflammatory cytokines …

Investigating Scalable Manufacturing Of High-Conductivity Wires And Coatings From Ultra-Long Carbon Nanotubes, Pouria Khanbolouki

Mechanical Engineering ETDs

Carbon nanotubes (CNTs) are a promising candidate for next generation of electrical wirings and electromagnetic interference (EMI) shielding materials due to their exceptional mechanical and electrical properties. Wires and coatings from ultralong nanotubes that are highly crystalline, well-aligned and densely packed can achieve this goal. High-performance CNT conductors will be relatively lightweight and resistant to harsh conditions and therefore can potentially replace current conductors in many industries including aerospace, automotive, gas and oil.

This thesis investigates a new manufacturing approach, based on conventional solution coating and wire drawing methods, to fabricate high conductivity wires and coatings from ultra-long carbon nanotubes. …

Identifying Worldviews On Corporate Sustainability: A Content Analysis Of Corporate Sustainability Reports, Nancy E. Landrum, Brian M. Ohsowski

School of Environmental Sustainability: Faculty Publications and Other Works

Companies commonly issue sustainability or corporate social responsibility (CSR) reports. This study seeks to understand worldviews of corporate sustainability, or the corporate message conveyed regarding what sustainability or CSR is and how to enact it. Content analysis of corporate sustainability reports is used to position each company report within stages of corporate sustainability. Results reveal that there are multiple coexisting worldviews of corporate sustainability, but the most dominant worldview is focused on the business case for sustainability, a position anchored in the weak sustainability paradigm. We contend that the business case and weak sustainability advanced in corporate sustainability reports and …

Multimode Approach To Classical And Quantum Diffraction, Zhihao Xiao

LSU Doctoral Dissertations

I have investigated classical diffraction of optical beams with multimode approach, which is a significant improvement upon the traditional Huygens–Fresnel principle based diffraction theory. I have also investigated quantum diffraction with multimode approach, which describes the behavior of multimode quantum state. Multimode approach to classical and quantum diffraction provides a clear mathematical formalism and is verified by numerical simulations. In addition, I present the work on superconducting qubit and oscillator with time-dependent coupling coefficient, with first order correction with finite qubit energy and schemes based on and π pulses.

First Exclusive Measurement Of Deeply Virtual Compton Scattering Off 4He: Toward The 3d Tomography Of Nuclei, M. Hattawy, N. A. Baltzell, R. Dupré, K. Hafidi, S. Stepanyan, S. Bültmann, R. De Vita, A. El Alaoui, L. El Fassi, H. Egiyan, F. X. Girod, M. Guidal, D. Jenkins, S. Liuti, Y. Perrin, B. Torayev, E. Voutier, K. P. Adhikari, S. Adhikari, D. Adikaram, Z. Akbar, M. J. Amaryan, S. Anefalos Pereira, Whitney R. Armstrong, H. Avakian, J. Ball, M. Bashkanov, M. Battaglieri, V. Batourine, I. Bedlinskiy, Wesley P. Gohn

Physics and Astronomy Faculty Publications

We report on the first measurement of the beam-spin asymmetry in the exclusive process of coherent deeply virtual Compton scattering off a nucleus. The experiment uses the 6 GeV electron beam from the Continuous Electron Beam Accelerator Facility (CEBAF) accelerator at Jefferson Lab incident on a pressurized ⁴He gaseous target placed in front of the CEBAF Large Acceptance Spectrometer (CLAS). The scattered electron is detected by CLAS and the photon by a dedicated electromagnetic calorimeter at forward angles. To ensure the exclusivity of the process, a specially designed radial time projection chamber is used to detect the recoiling ^{4 …}

Hydrogeochemical Investigation Of Recharge Pathways To Intermediate And Regional Groundwater In Cañon De Valle And Technical Area 16, Los Alamos National Laboratory, Brendan W. Brady

Civil Engineering ETDs

In aquifers consisting of fractured or porous igneous rocks, as well as conglomerate and sandstone products of volcanic formations, silicate minerals actively dissolve and precipitate (Eby, 2004; Eriksson, 1985; Drever, 1982). Dissolution of hydrated volcanic glass is also known to influence the character of groundwater to which it is exposed (White et al., 1980). Hydrochemical evolution, within saturated zones of volcanic formations, is modeled here as a means to resolve the sources feeding a perched groundwater zone. By observation of solute mass balances in groundwater, together with rock chemistry, this study characterizes the chemical weathering processes active along recharge pathways …

Entropy Production And Volume Contraction In Thermostated Hamiltonian Dynamics, John D. Ramshaw

Physics Faculty Publications and Presentations

Patra et al. [Int. J. Bifurcat. Chaos 26, 1650089 (2016)] recently showed that the time-averaged rates of entropy production and phase-space volume contraction are equal for several different molecular dynamics methods used to simulate nonequilibrium steady states in Hamiltonian systems with thermostated temperature gradients. This equality is a plausible statistical analog of the second law of thermodynamics. Here we show that those two rates are identically equal in a wide class of methods in which the thermostat variables z are determined by ordinary differential equations of motion (i.e., methods of the Nosé-Hoover or integral feedback control type). This …

Manipulating Electromagnetic Waves With Enhanced Functionalities Using Nonlinear And Chiral Metamaterials, Sinhara Rishi Malinda Silva

USF Tampa Graduate Theses and Dissertations

Metamaterials are artificial structures, which periodically arranged to exhibit fascinating electromagnetic properties, not existing in nature. A great deal of research in the field of metamaterial was conducted in a linear regime, where the electromagnetic responses are independent of the external electric or magnetic fields. Unfortunately, in linear regime the desired properties of metamaterials have only been achieved within a narrow bandwidth, around a fixed frequency. Therefore, nonlinearity is introduced into metamaterials by merging meta-atoms with well-known nonlinear materials. Nonlinear metamaterials are exploited in this dissertation to introduce and develop applications in microwave frequency with broadband responses. The nonlinearity was …

Differential Equations Of Dynamical Order, Andrei Ludu, Harihar Khanal

Publications

No abstract provided.

Sol-Gel Niobia-Based Sorbents For The Enrichment Of Organophosphorus Compounds By Capillary Microextraction Online Coupled To High Performance Liquid Chromatography, Sheshanka Kesani

USF Tampa Graduate Theses and Dissertations

Sample preparation is a key step in chemical analysis, and includes isolation of target analytes, removal of interferences, preconcentration, and/or modification of target analytes (if needed). Sample preparation is also the most time-consuming and error-prone step in the whole analytical process. Traditional sample preparation techniques involve hazardous solvents. Considering the environmental and health safety, it is desirable to reduce or eliminate organic solvents in sample preparation. Solid phase microextraction (SPME) was introduced as a solvent free sample preparation technique. Capillary microextraction (CME) is one of the formats of SPME that can be easily coupled to high performance liquid chromatography (HPLC). …

Power-Law Schell-Model Sources, Milo W. Hyde Iv

Faculty Publications

A new type of Schell-model source is developed that has a spectral degree of coherence, or spatial power spectrum, which is described by a power-law function. These power-law sources generally produce cusped, or peaked far-zone spectral density patterns making them potentially useful in directed energy applications. The spectral degrees of coherence, spatial power spectra, and spatial coherence radii for power-law sources are derived and discussed. Two power-law sources are then synthesized in the laboratory using a liquid crystal spatial light modulator. The experimental spectral densities are compared to the corresponding theoretical predictions to serve as a proof of concept.

Pope Francis, Laudato Si', And U.S. Environmentalism, Jonathan Z. Cannon, Stephen Cushman

William & Mary Environmental Law and Policy Review

No abstract provided.

Changing Tides In Water Management: Policy Options To Encourage Greater Recycling Of Fracking Wastewater, Romany M. Webb

William & Mary Environmental Law and Policy Review

The U.S. has recently experienced a domestic energy renaissance, made possible by technological advances, enabling the development of unconventional oil and gas resources. Vital to this development is hydraulic fracturing (“fracking”), whereby fluid is injected underground at high pressure to fracture the rock, thereby enabling the flow of oil and gas. Fracking has recently faced growing opposition with many concerned about its environmental impacts, particularly its potential to adversely affect water resources, because fracking uses vast amounts of fresh water that ends up as contaminated wastewater. Most of this wastewater is disposed of through underground injection, resulting in its permanent …

T-Rex, Jurassic Park And Nuclear Power: Nuclear Power Plants And The Courts After The Fukushima Nuclear Accident, Shigenori Matsui

William & Mary Environmental Law and Policy Review

No abstract provided.

A Fix For A Thirsty World - Making Direct And Indirect Reuse Legally Possible, Heather Payne

William & Mary Environmental Law and Policy Review

Reliably providing safe drinking water to the public is an essential function of state and local governments. Across the United States, government officials and public water system managers are exploring mechanisms for ensuring water security. One method for increasing public drinking water security that has garnered the attention of water officials and the public is returning treated wastewater to the drinking water supply. However, in the absence of federal regulations on water reuse, states need guidance to develop the statutory framework necessary to make potable reuse legal. This Article details the processes of direct and indirect potable reuse and reviews …

Water, Lead, And Environmental Justice: Easing The Flint Water Crisis With A Public Water Contamination Liability Fund, Jonathon Lubrano

William & Mary Environmental Law and Policy Review

No abstract provided.

The Kimberley Process As A Framework For Regulating Conflict Oil And Gas Sourced From The South China Sea, Jamie Huffman

William & Mary Environmental Law and Policy Review

No abstract provided.

Atmospheric Pco2 Reconstructed Across Five Early Eocene Global Warming Events, Ying Cui, Brian A. Schubert

Department of Earth and Environmental Studies Faculty Scholarship and Creative Works

Multiple short-lived global warming events, known as hyperthermals, occurred during the early Eocene (56–52 Ma). Five of these events – the Paleocene–Eocene Thermal Maximum (PETM or ETM1), H1 (or ETM2), H2, I1, and I2 – are marked by a carbon isotope excursion (CIE) within both marine and terrestrial sediments. The magnitude of CIE, which is a function of the amount and isotopic composition of carbon added to the ocean–atmosphere system, varies significantly between marine versus terrestrial substrates. Here we use the increase in carbon isotope fractionation by C3 land plants in response to increased pCO2 to reconcile this difference and …

Development Of Remote Hydroxylation Via Redox Catalysis And Mild Activation Of Thioglycosides For O-Glycosylation, Kristina Deveaux

LSU Doctoral Dissertations

The focus of this dissertation is the development of a C-H functionalization method using redox catalysis and the synthesis of saccharides using thioglycosides. Chapter 1 is a review of C-H functionalization and visible-light photoredox catalysis. Over the years there have been many significant contributions to the field of C-H functionalization. Select examples have been discussed and a foundation for the method developed in chapter 2 has been outlined. Chapter 2 discusses the development and optimization of a C-H functionalization method. This approach uses the Tz^o directing group and Ir(ppy)₃ to activate a remote C-H bond via 1,6- and …

Random Walk Null Models For Time Series Data, Daryl Deford, Katherine Moore

Dartmouth Scholarship

Permutation entropy has become a standard tool for time series analysis that exploits the temporal and ordinal relationships within data. Motivated by a Kullback–Leibler divergence interpretation of permutation entropy as divergence from white noise, we extend pattern-based methods to the setting of random walk data. We analyze random walk null models for correlated time series and describe a method for determining the corresponding ordinal pattern distributions. These null models more accurately reflect the observed pattern distributions in some economic data. This leads us to define a measure of complexity using the deviation of a time series from an associated random …

Idempotents In Plenary Train Algebras, Antonio Behn, Irvin R. Hentzel

Irvin Roy Hentzel

In this paper we study plenary train algebras of arbitrary rank. We show that for most parameter choices of the train identity, the additional identity (x^2 -w(x)x)^2 =0 is satisfied. We also find sufficient conditions for A to have idempotents.