Physical Sciences and Mathematics Commons^™

An Interdisciplinary Approach To Understanding Volcanoes And Their Processes, Katherine Cosburn

Physics & Astronomy ETDs

To better understand volcanoes and their processes is important from both a fundamental science perspective and for hazard monitoring purposes. The complexity and limitations we face in pursuing such a science are numerous and this dissertation explores how an interdisciplinary approach combining physics, computer science, and volcanology can address this complexity in a straightforward and meaningful way. This is achieved through various modelling techniques across three studies: (1) a first-order analytic modelling of stratovolcano topographic shape, (2) the use of a Bayesian joint inversion on gravity and novel cosmic-ray muon measurements for imaging flat-lying subsurface density anomalies, and (3) the …

The Nature Of Environmental Planning In The Carnué Land Grant, Desiree Loggins

Geography ETDs

In 1819, the Spanish Crown established Cañón de Carnué land grant as a buffer between the colonial settlement of Albuquerque and raids from Plains Apache and other nomadic tribal nations. Upon entering the U.S. period of Manifest Destiny, Carnué land grant heirs lost much of the land they stewarded as a collective to the Cibola National Forest. While the state generates laws and policies that complicate the prioritization of subsistence land uses by land grant communities, Carnué’s presence is felt as grantees reform relationships to their environment and assert their personal stake in stewardship and care. I argue that Carnué’s …

Ontogenetic Niche Shift As A Driver Of Community Structure And Diversity In Non-Avian Dinosaurs, Katlin Schroeder

Biology ETDs

As some of the most charismatic megafauna to ever walk the earth, the physiology, morphology, growth and evolution of non-avian theropods has been studied exhaustively, yet little is understood about their roles in ecosystems as juveniles. For carnivorous megatheropods, which exceed 1,000kg in mass yet hatched from eggs of limited size, the likelihood of utilizing different prey through ontogeny was high, simply by proxy of the immense difference in size between adults and juveniles. We found these ontogenetic niche shifts, evidenced by significantly different dental microwear in Tyrannosaurids, to have excluded dinosaurian mesocarnivores from Mesozoic communities. The few dinosaurian mesocarnivores …

Design And Characterization Of Frequency Tripling Mirrors, Amir Khabbazi Oskouei

Optical Science and Engineering ETDs

Aperiodic stacks of dielectric low- and high-index films can be designed to enhance third-harmonic generation (THG) in reflection of near infrared laser pulses using computer optimization. Numerical and analytical results suggest that the TH energy increases rapidly with increasing number of films and the ratio of the high and low index.

Our optical matrix based THG model that takes into account the full pulse bandwidth predicts conversion efficiencies of about 7% for transform-limited Gaussian pulse bandwidths of 16 nm for mirrors with 45 layers, which exceed those expected from periodic designs. Stability against film thickness fluctuations expected from the deposition …

Nano-Fabricated Atomic Waveguides For Inertial Measurements, Adrian S. Orozco

Physics & Astronomy ETDs

Atom-based inertial measurement systems can measure acceleration and rotation very precisely in the laboratory. The central element of these systems is atom interferometry where the phase shifts are sensitive to inertial forces experienced by the atom. This phenomenon has been used to make atom-based gravimeters, gradiometers, and gyroscopes. Recent effort has been made to make these systems more compact which require small size, light weight, and low power (SWaP). Nano-fabricated waveguides, such as photonic waveguides or optical nanofibers, offer a promising avenue to meet these goals. They have dimensions comparable to the guided light’s wavelength producing a mode that not …

Measurement Error Modeling Applied To Phylogenetic Inference And Parametric Bootstrap Approach To Multifactor Anova Models With Unequal Variances And Unbalanced Data, Sarah Katharine Alver

Mathematics & Statistics ETDs

This dissertation includes two main topics. The first uses measurement error modeling to improve upon an existing method of inferring species trees from gene trees that were estimated with error. The second involves extending the parametric bootstrap (PB) approach, which was previously shown to work well for one- and two-way analysis of variance models with unequal variance and unbalanced data (heteANOVA), to multi-factor heteANOVA models. An overall framework using PB is presented. For each topic, the underlying theory is shown, and simulations and applications to empirical data are presented, demonstrating improvement over earlier methods. The proposed species tree inference method …

Spin Interactions In New Donor-Acceptor Complexes, Ju Chen

Chemistry and Chemical Biology ETDs

Transition metal complexes ligated by Donor-Acceptor (D-A) biradicals are of interest for probing the degree of electronic coupling between chemically biased radical fragments. The unique nature of their electronic coupling has allowed these systems to serve as ground state analogues of charge separated excited states generated by photoexcitation. We have been interested in how the nature of the acceptor radical affects the magnitude of the electronic coupling matrix element in these biradicals. As such, we have synthesized a new series of D-A semiquinone-verdazyl (SQ-VD) biradical ligands and their transition metal complexes. We have characterized these new complexes by x-ray crystallography, …

Approaches In Molecular Engineering To Optimize The Desired Properties Of Photoactive Molecules, Douglas Joseph Breen

Chemistry and Chemical Biology ETDs

Within this dissertation, photochemical systems that bear significance to next-generation photonic materials and devices are explored. Notable advances in the design, synthesis, and characterization of three distinct groups of photoactive molecules are achieved through molecular design and spectroscopic analysis. First, novel ruthenium sulfoxide complexes bearing substituted phosphine ligands are found to provide extraordinary control over photoisomerization quantum yields. A comparison of these complexes reveals ground-state characteristics that are instrumental in this reactivity, while a novel spectroscopic technique provides rare structural evidence for an O-bonded metastable isomer. Ruthenium complexes bearing chelating carbene-sulfoxide ligands rapidly thermally revert from the O-bonded metastable isomer …

Reliability Of Quantum Simulation On Nisq-Era Devices, Karthik R. Chinni

Physics & Astronomy ETDs

We study the reliability of quantum simulation on Noisy intermediate-scale quantum (NISQ)-era devices in the presence of errors and imperfections, with a focus on exploring the relationship between the properties of the system being simulated and the errors in the output of the simulator. We first consider simulation of the Lipkin-Meshkov-Glick (LMG) model, which becomes chaotic in the presence of a background time-dependent perturbation. Here we show that the quantities that depend on the global structure of the phase space are robust, while other quantities that depend on the local trajectories are fragile and cannot be reliably extracted from the …

Eigenfunction Restriction Estimates For Curves With Nonvanishing Geodesic Curvatures In Compact Riemannian Surfaces With Nonpositive Sectional Curvatures, Chamsol Park

Mathematics & Statistics ETDs

For 2 ≤ p < 4, we study the Lp norms of restrictions of eigenfunctions of the Laplace-Beltrami operator on smooth compact 2-dimensional Riemannian manifolds. Burq, G\´erard, and Tzvetkov [12], and Hu [21] found eigenfunction restriction estimates for a curve with nonvanishing geodesic curvatures. We will explain how the proof of the known estimates helps us to consider the case where the given smooth compact Riemannian manifold has nonpositive sectional curvatures. For p = 4, we will also obtain a logarithmic analogous estimate, by using arguments in Xi and Zhang [37], Sogge [33], and Bourgain [10]. At the end of this dissertation, we will talk about a future work, which is a follow up study for higher dimensional analogues of the above curve cases.

Intra-Hour Solar Forecasting Using Cloud Dynamics Features Extracted From Ground-Based Infrared Sky Images, Guillermo Terrén-Serrano

Electrical and Computer Engineering ETDs

Due to the increasing use of photovoltaic systems, power grids are vulnerable to the projection of shadows from moving clouds. An intra-hour solar forecast provides power grids with the capability of automatically controlling the dispatch of energy, reducing the additional cost for a guaranteed, reliable supply of energy (i.e., energy storage). This dissertation introduces a novel sky imager consisting of a long-wave radiometric infrared camera and a visible light camera with a fisheye lens. The imager is mounted on a solar tracker to maintain the Sun in the center of the images throughout the day, reducing the scattering effect produced …

Estimation Of Radium-226 Concentrations In Produced Water From Shale Gas, Tight Gas And Conventional Hydrocarbon Wells, Richard Frank Haaker

Mathematics & Statistics ETDs

This study examined data from the United States Geological Survey Produced Water database, version 2.3 (USGS DB) and built models to estimate the concentration of radium-226 in produced water given the values of other predictor variables. The dataset had only about 254 observations that were useable. Although the USGS DB had up to 190 possible attributes, it also had extreme rates of missingness, and many of the candidate variables were highly correlated. Multiple imputation techniques were employed using the Mice, Hmisc, and RMS packages for the R language to deal with the missing data. A multiple linear regression and two …

Nm Stat § 7-36-20: Disconnected Land And Water Policy In A Climate-Altered Peri-Urban Fringe, Annalise Porter

Water Resources Professional Project Reports

New Mexico (NM) passed a land use law in 1967 that offers tax subsidies to agricultural landowners and is implemented at the county level. This law illustrates a stark disconnect between land and water policy: there are water policy implications because of it, but it has never been discussed accordingly. With a focus on New Mexico’s primary urban county, this study estimates that in 2020, Rio Grande surface flows were used to irrigate 4,388 acres of Bernalillo County land that received the special tax valuation offered through the law. This represents a potential use of nearly 11,000 acre-feet of water, …

Diatom Response To Different Hydrologic Sources In Alpine Streams: A Teton Range Case Study, Shannon Weld

Water Resources Professional Project Reports

Alpine stream diversity is due in part to different hydrological sources including snowpack, surface glaciers, and rock glaciers; climate change threatens to homogenize these sources. Surprisingly little is understood about algal communities in these stream types. We characterized algal communities and water chemistry among ten alpine streams from these sources in the Teton Range, Wyoming, USA. Late summer sampling (2019-2021) included diatoms, anions, cations, and water quality parameters. Data were analyzed using one- and two-way analysis of variance, principal component analysis, and nonmetric multidimensional scaling. There were statistically significant differences among some or all hydrologic sources for temperature, dissolved oxygen, …

When High-Water-Use Neighbors Move In: Farming Pecans In Valencia County, New Mexico, Tylee M. Griego

Water Resources Professional Project Reports

Valencia County, comprised of a collection of farming communities in the Middle Rio Grande of central New Mexico, is undergoing a fundamental change in its irrigated agriculture. Historically, over recent decades, it has had many smaller-sized farms, or “hobby farms”, with fewer larger commercial enterprises, and with alfalfa as its dominant crop. But in recent years, it has seen a significant expansion of acreage devoted to pecan orchards – a higher value commercial crop that also is substantially higher in water use. Some of these orchards have been planted on land not previously irrigated. The Rio Grande flows through the …

Multiple Shallow Crustal Origins For Spinel-Bearing Lithologies On The Moon: A Perspective From The Luna 20 Mission, Steven B. Simon, Charles K. Shearer, Stephen E. Haggerty, Daniel P. Moriarty Iii, Noah Petro, James J. Papike, Zoltan Vaci

Earth and Planetary Sciences Faculty and Staff Publications

No abstract provided.

Magnetic Microscopy And Search For Exotic Interaction Detection With Color Centers In Diamond, Nathaniel Ristoff

Physics & Astronomy ETDs

Nitrogen vacancy (NV) centers have been used extensively for the measurement of magnetic fields in applications of geology, biology, medicine, and fundamental physics. In regard to fundamental physics, NV centers offer a unique opportunity to test potential velocity dependant spin-spin interactions as well as velocity-spin interactions at the micron scale. In regards to magnetic materials, NV centers offer a platform to investigate magnetic properties of nanoparticles in an individual, but highly parallelized measurement. In this work, an experiment is proposed to measure a potential fundamental interaction between spins, mediated by an integer spin boson. These velocity dependent interactions will couple …

Introduction To Superhyperalgebra And Neutrosophic Superhyperalgebra, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper we recall our concepts of n th-Power Set of a Set, SuperHyperOperation, SuperHyperAxiom, SuperHyperAlgebra, and their corresponding Neutrosophic SuperHyperOperation, Neutrosophic SuperHyperAxiom and Neutrosophic SuperHyperAlgebra. In general, in any field of knowledge, one actually encounters SuperHyperStructures (or more accurately (m, n)- SuperHyperStructures).

The Reciprocal Of The Butterfly Theorem, Ion Patrascu, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

No abstract provided.

Linguistic Functions, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this book, the authors have proved the analogues of the Bolzano Weierstrass theorem for the linguistic version. Several concepts in the case of linguistic continuum are very distinct from the natural classical real continuum. Categorically, we have three linguistic variables: one leading to a continuum, some finite and orderable set, and some not orderable. We define a linguistic plane associated with linguistic variables and give graphs associated with linguistic functions.

Linguistic Graphs And Their Applications, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The authors define the notion of directed linguistic graphs and linguistic-weighted graphs.

The second chapter discusses all types of linguistic graphs, linguistic dyads, linguistic triads, linguistic wheels, complete linguistic graphs, connected linguistic graphs, disconnected linguistic graphs, and linguistic components of the graphs. Further we define the notion of linguistic subgraphs of a linguistic graph. The third chapter also introduces the notion of Linguistic Cognitive Maps (LCMs) analogous to Fuzzy Cognitive maps (FCMs). We also propose Linguistic relational Maps, which are analogous to Fuzzy Relational Maps. These models find applications in problems whose data is unsupervised, but the values are linguistic.

Linguistic Geometry And Its Applications, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The authors venture to define the notion of linguistic geometry in this book.

It is pertinent to keep on the record that linguistic geometry differs from the classical geometry.

Many fundamental concepts and notions of classical geometry are not valid or extendable in the case of linguistic geometry.

We discuss in dept the linguistic variables, graphs and geometry essential for social information networks.

And then develop the new notion of linguistic geometry and its related properties.

The concept of linguistic social information geometric networks is also developed.

Linguistic Semilinear Algebras And Linguistic Semivector Spaces, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This book introduces algebraic structures on linguistic sets associated with a linguistic variable.

The linguistics with single closed binary operations are only semigroups and monoids. Authors feel it is not possible to define the notion of linguistic group.

We describe the new notion of linguistic semirings, linguistic semifields, linguistic semivector spaces, and linguistic semilinear algebras defined over linguistic semifields.

We also define algebraic structures on linguistic subsets of a linguistic set associated with a linguistic variable.

Collected Papers (On Various Scientific Topics), Volume Xiii, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This thirteenth volume of Collected Papers is an eclectic tome of 88 papers in various fields of sciences, such as astronomy, biology, calculus, economics, education and administration, game theory, geometry, graph theory, information fusion, decision making, instantaneous physics, quantum physics, neutrosophic logic and set, non-Euclidean geometry, number theory, paradoxes, philosophy of science, scientific research methods, statistics, and others, structured in 17 chapters (Neutrosophic Theory and Applications; Neutrosophic Algebra; Fuzzy Soft Sets; Neutrosophic Sets; Hypersoft Sets; Neutrosophic Semigroups; Neutrosophic Graphs; Superhypergraphs; Plithogeny; Information Fusion; Statistics; Decision Making; Extenics; Instantaneous Physics; Paradoxism; Mathematica; Miscellanea), comprising 965 pages, published between 2005-2022 in different …

Lost And Found In Mathematics, Victor Christianto, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This book is inspired by a German theoretical physicist, Sabine Hossenfelder’s publication: “Lost in Mathematics”. Her book seems to question highly mathematical and a lot of abstraction in the development of physics and cosmology studies nowadays. There is clear tendency that in recent decades, the physics science has been predominated by such an advanced mathematics, which at times sounding more like acrobatics approach to a reality. Through books by senior mathematical-physicists like Unzicker and Peter Woit, we know that the answer of TOE is not in superstring theories or other variations of such 26 dimensional bosonic string theory, of which …

From Logic To Realism To Brighter Future For Humanity, Victor Christianto, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This collection of published papers at International Journal of Neutrosophic Science actually began with just a simple request by Dr. Broumi Said, the editor of IJNS, to us, to submit an article for his new journal. Then we submitted a series of new articles discussing various applications of Neutrosophic Logic, a new kind of logic as developed by one of us (FS). We explore a wide range of subject, from Godel’s incompleteness theorem, to possible technocalypse and neutro-futurology, and also additional sections. Hopefully you will find these articles interesting for better understanding of nature.

Neutrosophic Algebraic Structures And Their Applications, Florentin Smarandache, Memet Sahin, Derya Bakbak, Abdullah Kargın

Branch Mathematics and Statistics Faculty and Staff Publications

Neutrosophic Logic is a general framework for unification of many existing logics, such as fuzzy logic (especially intuitionistic fuzzy logic), paraconsistent logic, intuitionistic logic, etc.

In 2019 Smarandache generalized the classical Algebraic Structures to NeutroAlgebraic Structures (or NeutroAlgebras) {whose operations and axioms are partially true, partially indeterminate, and partially false} as extensions of Partial Algebra, and to AntiAlgebraic Structures (or AntiAlgebras) {whose operations and axioms are totally false}, and he continued to develop them and extend a Structure in any field to the NeutroStructure and AntiStructure.

The NeutroAlgebras & AntiAlgebras are a new field of research, which is inspired from …

Collected Papers (On Physics, Artificial Intelligence, Health Issues, Decision Making, Economics, Statistics), Volume Xi, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This eleventh volume of Collected Papers includes 90 papers comprising 988 pages on Physics, Artificial Intelligence, Health Issues, Decision Making, Economics, Statistics, written between 2001-2022 by the author alone or in collaboration with 84 co-authors from 19 countries.

Collected Papers (On Neutrosophic Theory And Applications), Volume Vii, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This seventh volume of Collected Papers includes 70 papers comprising 974 pages on (theoretic and applied) neutrosophics, written between 2013-2021 by the author alone or in collaboration with 122 co-authors from 22 countries.

Collected Papers (Neutrosophics And Other Topics), Volume Xiv, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This fourteenth volume of Collected Papers is an eclectic tome of 87 papers in Neutrosophics and other fields, such as mathematics, fuzzy sets, intuitionistic fuzzy sets, picture fuzzy sets, information fusion, robotics, statistics, or extenics, comprising 936 pages, published between 2008-2022 in different scientific journals or currently in press, by the author alone or in collaboration with 99 co-authors from 26 countries.