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Chapter 14- How Instructors Can Help Students Embrace A Growth Mindset: The Importance Of Applying Theory To Practice, Antje R. H. Graul, Ayse Sapci Jan 2023

Chapter 14- How Instructors Can Help Students Embrace A Growth Mindset: The Importance Of Applying Theory To Practice, Antje R. H. Graul, Ayse Sapci

Habits of Mind

In today’s educational system, it is more important than ever to set students up for success in their future careers and professional development. “I really liked how the classes were more than lectures,” wrote one student in a recent course evaluation. But how can classes be more than “just” lectures? And how can a growth mindset be implemented to prepare students for their future careers? While many courses lend themselves well to teaching applicable skills, instructors assigned to theory-based courses often feel challenged to convey the importance of understanding the theory—or the usefulness of theoretical frameworks—to their students.


Red Wolf Multispecies Justice Publication 2023, Eskar, Elizabeth Bennett, Finley Schad, Alex Baldwin, Oluwaseyifunmi Adejugbe, Mufti Nadimul Quamar Ahmed, Maisie Schad, Sadie Braddock, Azra Soyer, Melih Soyer, Anne-Laure Blanche, Zubair Barkat, Amol K, Sarah Ann Woodbury, Kirsten Vinyeta Jan 2023

Red Wolf Multispecies Justice Publication 2023, Eskar, Elizabeth Bennett, Finley Schad, Alex Baldwin, Oluwaseyifunmi Adejugbe, Mufti Nadimul Quamar Ahmed, Maisie Schad, Sadie Braddock, Azra Soyer, Melih Soyer, Anne-Laure Blanche, Zubair Barkat, Amol K, Sarah Ann Woodbury, Kirsten Vinyeta

Publications

Our understanding of multispecies justice is still solidifying. In spring 2023, a group of Utah State University undergraduate and graduate students attended a course by Dr.Kirsten Vinyeta on Multispecies Justice and Indigenous Approaches to the Environment. Throughout this course, we studied the works of scholars and writers from a variety of social locations and identities who challenge Western theoretical frameworks in social science.

This publication celebrates our intellectual struggle with this emerging field and opens a forum for conversations about justice for humans and additional species. This issue features various writings, reflections, and photos from students taking the Multispecies Justice …


Model Predictive Control Switching Strategy For Safe Cluster Formation Flying, Tyson Smith, John Akagi, Greg Droge Jan 2023

Model Predictive Control Switching Strategy For Safe Cluster Formation Flying, Tyson Smith, John Akagi, Greg Droge

Space Dynamics Laboratory Publications

This paper presents a Model Predictive Control (MPC) based control scheme that is used in conjunction with a sphere polytope boundary constraint and the Hill-Clohessey-Whiltshire (HCW) equations to maintain a desired trajectory of a cluster of spacecraft while also allowing freedom to maneuver within the allowable bounds. The operational polytope boundaries enable the predictive framework of the MPC to be used to make small maneuvers to avoid debris or achieve mission objectives. The boundaries are designed such that no two agents have overlapping regions, allowing the vehicles to execute avoidance strategies without continually maintaining the trajectories of other agents. The …


Non-Singlet Quark Helicity Pdfs Of The Nucleon From Pseudo-Distributions, Robert Edwards, Colin Egerer, Joseph Karpie, Nikhil Karthik, Christopher Monahan, Wayne Morris, Kostas Orginos, Anatoly Radyushkin, David Richards, Eloy Romero, Raza Sabbir Sufian, Savvas Zafeiropoulos, On Behalf Of The Hadstruc Collaboration Jan 2023

Non-Singlet Quark Helicity Pdfs Of The Nucleon From Pseudo-Distributions, Robert Edwards, Colin Egerer, Joseph Karpie, Nikhil Karthik, Christopher Monahan, Wayne Morris, Kostas Orginos, Anatoly Radyushkin, David Richards, Eloy Romero, Raza Sabbir Sufian, Savvas Zafeiropoulos, On Behalf Of The Hadstruc Collaboration

Physics Faculty Publications

The non-singlet helicity quark parton distribution functions (PDFs) of the nucleon are determined from lattice QCD, by jointly leveraging pseudo-distributions and the distillation spatial smearing paradigm. A Lorentz decomposition of appropriately isolated space-like matrix elements reveals pseudo-distributions that contain information on the leading-twist helicity PDFs, as well as an invariant amplitude that induces an additional z2 contamination of the leading-twist signal. An analysis of the short-distance behavior of the space-like matrix elements using matching coefficients computed to next-to-leading order (NLO) exposes the desired PDF up to this additional z2 contamination. Due to the non-conservation of the axial current, …


Basics Of Factorization In A Scalar Yukawa Field Theory, F. Aslan, L. Gamberg, J.O. Gonzalez-Hernandez, T. Rainaldi, T. C. Rogers Jan 2023

Basics Of Factorization In A Scalar Yukawa Field Theory, F. Aslan, L. Gamberg, J.O. Gonzalez-Hernandez, T. Rainaldi, T. C. Rogers

Physics Faculty Publications

The factorization theorems of QCD apply equally well to most simple quantum field theories that require renormalization but where direct calculations are much more straightforward. Working with these simpler theories is convenient for stress testing the limits of the factorization program and for examining general properties of the parton density functions or other correlation functions that might be necessary for a factorized description of a process. With this view in mind, we review the steps of factorization in a real scalar Yukawa field theory for both deep inelastic scattering and semi-inclusive deep inelastic scattering cross sections. In the case of …


Investigation Of The Multilayer Shielding Effect Through Nbtin-Ain Coated Bulk Niobium, Iresha Harshani Senevirathne, D. R. Beverstock, A-M Valente-Feliciano, Alex Gurevich, Jean R. Delayen Jan 2023

Investigation Of The Multilayer Shielding Effect Through Nbtin-Ain Coated Bulk Niobium, Iresha Harshani Senevirathne, D. R. Beverstock, A-M Valente-Feliciano, Alex Gurevich, Jean R. Delayen

Physics Faculty Publications

We report measurements of the dc field onset Bp of magnetic flux penetration through NbTiN-AlN coating on bulk niobium using the Hall probe experimental setup. The measurements of Bp reveal the multilayer shielding effect on bulk niobium under high magnetic fields at cryogenic temperatures. We observed a significant enhancement in Bp for the NbTiN-AlN coated Nb samples as compared to bare Nb samples. The observed dependence of Bp on the coating thickness is consistent with theoretical predictions.


Development And Performance Of Rfd Crab Cavity Prototypes For Hl-Lhc Aup, L. Listori, P. Berrutti, M. Narduzzi, A. Castilla, S. U. De Silva, J. R. Delayen, N. A. Huque, Z. Li, A. Ratti Jan 2023

Development And Performance Of Rfd Crab Cavity Prototypes For Hl-Lhc Aup, L. Listori, P. Berrutti, M. Narduzzi, A. Castilla, S. U. De Silva, J. R. Delayen, N. A. Huque, Z. Li, A. Ratti

Physics Faculty Publications

The US will be contributing to the HL-LHC upgrade at CERN with the fabrication and qualification of RFD crabbing cavities in the framework of the HL-LHC Accelerator Upgrade Project (AUP) managed by Fermilab. AUP received Critical Decision 3 (CD-3) approval by DOE in December 2020 launching the project into the production phase. The electro-magnetic design of the cavity was inherited from the LHC Accelerator Research Program (LARP) but needed to be revised to meet new project requirements and to prevent issues encountered during beam tests performed at CERN in the R&D phase. Two prototype cavities were manufactured in industry and …


Analytic Continuation Of The Relativistic Three-Particle Scattering Amplitudes, Sebastian M. Dawid, Md Habib E. Islam, Raúl A. Briceño Jan 2023

Analytic Continuation Of The Relativistic Three-Particle Scattering Amplitudes, Sebastian M. Dawid, Md Habib E. Islam, Raúl A. Briceño

Physics Faculty Publications

We investigate the relativistic scattering of three identical scalar bosons interacting via pair-wise interactions. Extending techniques from the nonrelativistic three-body scattering theory, we provide a detailed and general prescription for solving and analytically continuing integral equations describing the three-body reactions. We use these techniques to study a system with zero angular momenta described by a single scattering length leading to a bound state in a two-body subchannel. We obtain bound-state-particle and three-particle amplitudes in the previously unexplored kinematical regime; in particular, for real energies below elastic thresholds and complex energies in the physical and unphysical Riemann sheets. We extract positions …


Full Treatment Of The Thrust Distribution In Single Inclusive E⁺E⁻ → H X Processes, M. Boglione, Andrea Simonelli Jan 2023

Full Treatment Of The Thrust Distribution In Single Inclusive E⁺E⁻ → H X Processes, M. Boglione, Andrea Simonelli

Physics Faculty Publications

Extending the transverse momentum dependent factorization to thrust dependent observables entails a series of difficulties, ultimately associated to the behavior of soft radiation. As a consequence, the definition of the transverse momentum dependent functions has to be revised, while preserving (and possibly extending) their universality properties. Moreover, the regularization of the rapidity divergences generates non trivial correlations between rapidity and thrust. In this paper, we show how to deal with these correlations in a consistent treatment of the thrust dependence of e+e− → h X cross section, where the hadron transverse momentum is measured with respect to …


Electron Scattering And Neutrino Physics, A. M. Ankowski, A. Ashkenazi, S. Bacca, J. L. Barrow, M. Betancourt, A. Bodek, M. E. Christy, L. Doria, S. Dytman, A. Friedland, O. Hen, C. J. Horowitz, N. Jachowicz, W. Ketchum, T. Lux, K. Mahn, C. Mariani, J. Newby, V. Pandey, A. Papadopoulou, E. Radicioni, F. Sánchez, C. Sfienti, J. M. Udías, L. Weinstein, L. Alvarez-Ruso, J. E. Amaro, C. A. Argüelles, A. B. Balantekin, S. Bolognesi, V. Brdar, P. Butti, S. Carey, Z. Djurcic, O. Dvornikov, S. Edayath, S. Gardiner, J. Isaacson, W. Jay, K. S. Mcfarland, A. Nikolakopoulos, A. Norrick, S. Pastore, G. Paz, M. H. Reno, I. Ruiz Simo, J. E. Sobczyk, A. Sousa, N. Toro, Y. D. Tsai, M. Wagman, J. G. Walsh, G. Yang Jan 2023

Electron Scattering And Neutrino Physics, A. M. Ankowski, A. Ashkenazi, S. Bacca, J. L. Barrow, M. Betancourt, A. Bodek, M. E. Christy, L. Doria, S. Dytman, A. Friedland, O. Hen, C. J. Horowitz, N. Jachowicz, W. Ketchum, T. Lux, K. Mahn, C. Mariani, J. Newby, V. Pandey, A. Papadopoulou, E. Radicioni, F. Sánchez, C. Sfienti, J. M. Udías, L. Weinstein, L. Alvarez-Ruso, J. E. Amaro, C. A. Argüelles, A. B. Balantekin, S. Bolognesi, V. Brdar, P. Butti, S. Carey, Z. Djurcic, O. Dvornikov, S. Edayath, S. Gardiner, J. Isaacson, W. Jay, K. S. Mcfarland, A. Nikolakopoulos, A. Norrick, S. Pastore, G. Paz, M. H. Reno, I. Ruiz Simo, J. E. Sobczyk, A. Sousa, N. Toro, Y. D. Tsai, M. Wagman, J. G. Walsh, G. Yang

Physics Faculty Publications

A thorough understanding of neutrino–nucleus scattering physics is crucial for the successful execution of the entire US neutrino physics program. Neutrino–nucleus interaction constitutes one of the biggest systematic uncertainties in neutrino experiments—both at intermediate energies affecting long-baseline deep underground neutrino experiment, as well as at low energies affecting coherent scattering neutrino program—and could well be the difference between achieving or missing discovery level precision. To this end, electron–nucleus scattering experiments provide vital information to test, assess and validate different nuclear models and event generators intended to test, assess and validate different nuclear models and event generators intended to be used …


Nuclear Magnetic Quadrupole Moment Of ¹⁷⁵Lu And Parity-Violating Polarization Degree Of Levels In ¹⁷⁵Luoh⁺, Igor Kurchavov, Daniel Maison, Leonid Skripnikov, Matt Grau, Alexander Petrov Jan 2023

Nuclear Magnetic Quadrupole Moment Of ¹⁷⁵Lu And Parity-Violating Polarization Degree Of Levels In ¹⁷⁵Luoh⁺, Igor Kurchavov, Daniel Maison, Leonid Skripnikov, Matt Grau, Alexander Petrov

Physics Faculty Publications

A calculation is performed of the parity-violating polarizations in the external electric field, which are associated with the electron electric dipole moment (eEDM) and magnetic quadrupole moment (MQM) of the 175Lu nucleus, as well as the determination of the rovibrational structure for the 175LuOH+ cation. Beyond the bending of the molecule, the slight effect of the stretching of the distance between Lu and OH is taken into account. This study is required for the preparation of the experiment and for the extraction of the eEDM and MQM values of 175Lu from future measurements.


Superconducting Non-Elliptical Cavities (Tem Cavity Designs), Subashini De Silva Jan 2023

Superconducting Non-Elliptical Cavities (Tem Cavity Designs), Subashini De Silva

Physics Faculty Publications

This lecture will present fundamental of RF to accelerate or reflect beams. The lecture will cover the electrical design method of the SRF high/medium/low beta cavities. The difference in the cavity design between TM mode and TE will be emphasized.


Agricultural Machinery Operator Monitoring System (Ag-Oms): A Machine Learning Approach For Real-Time Operator Safety Assessment, Terence Irumva, Herve Mwunguzi, Santosh Pitla, Bethany Lowndes, Aaron Yoder, Ka-Chun Siu Jan 2023

Agricultural Machinery Operator Monitoring System (Ag-Oms): A Machine Learning Approach For Real-Time Operator Safety Assessment, Terence Irumva, Herve Mwunguzi, Santosh Pitla, Bethany Lowndes, Aaron Yoder, Ka-Chun Siu

Department of Agricultural and Biological Systems Engineering: Faculty Publications

The 2015 CS-CASH (Central States Center for Agricultural Safety and Health, 2015) Injury Surveillance Surveys showed that around 19% of injuries to agricultural producers are related to tractors or large agricultural machinery, yet only a limited number of studies are found that address tools and methods for monitoring safety behaviors of agricultural machinery operators in real-time. The current safety behavior monitoring approaches require an in-person presence, which can be both time- and cost-inefficient, and the other available methods lack a feedback element to alert operators in realtime. As a result, the research presented in this study aimed to develop an …


Intraguild Predation Is Increased In Areas Of Low Prey Diversity In A Generalist Predator Community, Stella F Uiterwaal, Amber Squires, Bennett Grappone, Brian Dillard, Ariadne Castaneda, Sora L. Kim, John Delong Jan 2023

Intraguild Predation Is Increased In Areas Of Low Prey Diversity In A Generalist Predator Community, Stella F Uiterwaal, Amber Squires, Bennett Grappone, Brian Dillard, Ariadne Castaneda, Sora L. Kim, John Delong

School of Biological Sciences: Faculty Publications

1. Niche differentiation and intraguild predation (IGP) can allow ecologically similar species to coexist, although it is unclear which coexistence mechanism predominates in consumer communities. Until now, a limited ability to quantify diets from metabarcoding data has precluded the use of sequencing data to determine the relative importance of these mechanisms.

2. Here, we pair a recent metabarcoding quantification approach with stable isotope analysis to examine diet composition in a wolf spider community.

3. We compare the prevalence of resource partitioning and IGP in these spiders and test whether factors that influence foraging performance, including individual identity, morphology, prey community …


Metamorphosis Imposes Variable Constraints On Genome Expansion Through Effects On Development, R. Lockridge Mueller,, Clayton E. Cressler, R S. Schwartz, R A. Chong, M. Butler Jan 2023

Metamorphosis Imposes Variable Constraints On Genome Expansion Through Effects On Development, R. Lockridge Mueller,, Clayton E. Cressler, R S. Schwartz, R A. Chong, M. Butler

School of Biological Sciences: Faculty Publications

Genome size varies ∼100,000-fold across eukaryotes and has long been hypothesized to be influenced by meta- morphosis in animals. Transposable element accumulation has been identified as a major driver of increase, but the nature of constraints limiting the size of genomes has remained unclear, even as traits such as cell size and rate of development co-vary strongly with genome size. Salamanders, which possess diverse metamorphic and non-metamorphic life histories, join the lung- fish in having the largest vertebrate genomes—3 to 40 times that of humans—as well as the largest range of variation in genome size. We tested 13 biologically-inspired hypotheses …


Metamorphosis Imposes Variable Constraints On Genome Expansion Through Effects On Development, R. Lockridge Mueller, Clayton E. Cressler, R. S. Schwartz, R. A. Chong, M. A. Butler Jan 2023

Metamorphosis Imposes Variable Constraints On Genome Expansion Through Effects On Development, R. Lockridge Mueller, Clayton E. Cressler, R. S. Schwartz, R. A. Chong, M. A. Butler

School of Biological Sciences: Faculty Publications

Genome size varies ∼100,000-fold across eukaryotes and has long been hypothesized to be influenced by meta- morphosis in animals. Transposable element accumulation has been identified as a major driver of increase, but the nature of constraints limiting the size of genomes has remained unclear, even as traits such as cell size and rate of development co-vary strongly with genome size. Salamanders, which possess diverse metamorphic and non-metamorphic life histories, join the lung- fish in having the largest vertebrate genomes—3 to 40 times that of humans—as well as the largest range of variation in genome size. We tested 13 biologically-inspired hypotheses …


Optical Design Study Of A High-Resolution Spectrograph Utilizing Photonic Lanterns For A Large Fiber Array Telescope, Richard D'Alo Jan 2023

Optical Design Study Of A High-Resolution Spectrograph Utilizing Photonic Lanterns For A Large Fiber Array Telescope, Richard D'Alo

Graduate Thesis and Dissertation 2023-2024

Large area fiber array telescopes are a relatively modern development in the long history of telescope design and effectively create a single large equivalent aperture by combining many smaller unit telescopes at a fraction of the cost. In this study a spectrograph optical design is demonstrated that utilizes photonic lanterns in the input fiber feed for the Large Fiber Array Spectroscopic Telescope (LFAST) design concept, where photonic lanterns provide a simplified approach to the fiber feed originally proposed for LFAST. Conservation of etendue is applied to derive the relationship between slit size and photonic lantern ratio, and classical echelle spectrograph …


Capacity Building For Organizational Resilience: Integrating Standards On Risk, Disruption And Continuity In The Curriculum, Lisa Greenwood, Dawn Hess, Yewande S. Abraham, Jennifer Schneider Jan 2023

Capacity Building For Organizational Resilience: Integrating Standards On Risk, Disruption And Continuity In The Curriculum, Lisa Greenwood, Dawn Hess, Yewande S. Abraham, Jennifer Schneider

Articles

Disruption is an inevitable factor in business and society, while inability to mitigate and manage risk can cause irreparable damage to business, the economy, and our ways of life. The COVID-19 pandemic has heightened interest in standards-based strategies for risk management and crisis preparedness to enhance organizational and societal resilience. University curricula that integrate national and international standards offer students a rich skill-set for effective performance in their careers. Moving forward, we must cultivate capable professionals who understand the challenges and risks facing society, and who grasp standards and systems for strategic planning, response, and recovery to promote organizational resilience …


Exploring The Top Five Evolving Threats In Cybersecurity: An In-Depth Overview, Maad Mijwil, Omega John Unogwu, Youssef Filali, Indu Bala, Indu Bala Jan 2023

Exploring The Top Five Evolving Threats In Cybersecurity: An In-Depth Overview, Maad Mijwil, Omega John Unogwu, Youssef Filali, Indu Bala, Indu Bala

Mesopotamian Journal of CyberSecurity

The term cybersecurity refers to an environment capable of protecting digital devices, networks and information from unauthorized access and preventing data theft or alteration. It is composed of a collection of carefully crafted techniques, processes, and practices to protect sensitive information and deterring cyber-attacks. In the recent period, the domain of cybersecurity has undergone rapid growth in response to the increasing cyber threats. Cybersecurity includes important tactics that help protect the digital environment, which are firewalls, encryption, secure passwords, and threat detection and response systems. Employees must be trained on these tactics. This article will discuss the five most pressing …


A Comprehensive Review Of Security Measures In Database Systems: Assessing Authentication, Access Control, And Beyond, Habeeb Omotunde, Maryam Ahmed Jan 2023

A Comprehensive Review Of Security Measures In Database Systems: Assessing Authentication, Access Control, And Beyond, Habeeb Omotunde, Maryam Ahmed

Mesopotamian Journal of CyberSecurity

This paper presents a comprehensive review of security measures in database systems, focusing on authentication, access control, encryption, auditing, intrusion detection, and privacy-enhancing techniques. It aims to provide valuable insights into the latest advancements and best practices in securing databases. The review examines the challenges, vulnerabilities, and mitigation strategies associated with database security. It explores various authentication methods, access control models, encryption techniques, auditing and monitoring approaches, intrusion detection systems, and data leakage prevention mechanisms. The paper also discusses the impact of emerging trends such as cloud computing, big data, and the Internet of Things on database security. By synthesizing …


The Effect Of Exceptionality Label On School Psychologists During The Evaluation Process, Rachel Jacob Jan 2023

The Effect Of Exceptionality Label On School Psychologists During The Evaluation Process, Rachel Jacob

Theses and Dissertations--Educational, School, and Counseling Psychology

School psychologists often lead the evaluation process that is responsible for identifying students with an education-based disability. They are also responsible for providing recommendations for the student following the evaluation. The current study is focusing on the variable of exceptionality label as it is a universally present variable that has the potential to affect all evaluations. Two recent studies have examined and found labeling bias on preservice educators (Allday et al., 2011; Fisher et al., 2022). This study sought to expand this research by looking at labeling bias in school psychologists. The study measured the effect of exceptionality label on …


An Examination Of Factors Impacting Home-School Collaboration In Head Start Populations, Madison Mei-Mei Yee Jan 2023

An Examination Of Factors Impacting Home-School Collaboration In Head Start Populations, Madison Mei-Mei Yee

Theses and Dissertations--Educational, School, and Counseling Psychology

Two essential pillars in a preschool-age student’s life include their caregiver and their teacher. In turn, it is unsurprising that a more cohesive relationship between these two figures can promote better wellbeing, academic skills, and overall developmental growth in young children. Unfortunately, a multitude of barriers impede home-school collaboration, such as socioeconomic status, non-English speaking households, and caregiver mental health, just to name a few. Head Start, a federally funded preschool program, targets underserved populations who often relate to these named barriers. Head Start works out of the Parent, Family, and Community Engagement (PFCE) Framework, a framework specifically geared toward …


The Case Against Regional Transmission Monopolies, Kristen Van De Biezendos Jan 2023

The Case Against Regional Transmission Monopolies, Kristen Van De Biezendos

Faculty Scholarship

Over the next decade, the United States will need to build significant regional transmission infrastructure to achieve the country’s goal of net-zero power by 2035. However, there is a significant barrier: the transmission system is almost entirely owned by private monopolies. As a result, the grid has grown not to serve the public interest but in accordance with the economic priorities of these monopolies, which are not incentivized to innovate, find efficiencies, or lower costs. Past attempts to encourage competitive bidding for regional transmission projects have been stymied by laws intended to protect the monopolies, including the right of first …


Another Angle On Perspective, John Adam Jan 2023

Another Angle On Perspective, John Adam

Mathematics & Statistics Faculty Publications

No abstract provided.


Application Of Mixture Models For Doubly Inflated Count Data, Monika Arora, N. Rao Chaganty Jan 2023

Application Of Mixture Models For Doubly Inflated Count Data, Monika Arora, N. Rao Chaganty

Mathematics & Statistics Faculty Publications

In health and social science and other fields where count data analysis is important, zero-inflated models have been employed when the frequency of zero count is high (inflated). Due to multiple reasons, there are scenarios in which an additional count value of k > 0 occurs with high frequency. The zero- and k-inflated Poisson distribution model (ZkIP) is more appropriate for such situations. The ZkIP model is a mixture distribution with three components: degenerate distributions at 0 and k count and a Poisson distribution. In this article, we propose an alternative and computationally fast expectation–maximization (EM) algorithm to obtain the parameter …


Generalized Sparse Bayesian Learning And Application To Image Reconstruction, Jan Glaubitz, Anne Gelb, Guohui Song Jan 2023

Generalized Sparse Bayesian Learning And Application To Image Reconstruction, Jan Glaubitz, Anne Gelb, Guohui Song

Mathematics & Statistics Faculty Publications

Image reconstruction based on indirect, noisy, or incomplete data remains an important yet challenging task. While methods such as compressive sensing have demonstrated high-resolution image recovery in various settings, there remain issues of robustness due to parameter tuning. Moreover, since the recovery is limited to a point estimate, it is impossible to quantify the uncertainty, which is often desirable. Due to these inherent limitations, a sparse Bayesian learning approach is sometimes adopted to recover a posterior distribution of the unknown. Sparse Bayesian learning assumes that some linear transformation of the unknown is sparse. However, most of the methods developed are …


Ellipses, Leaves, And Solar Crescents, John Adam Jan 2023

Ellipses, Leaves, And Solar Crescents, John Adam

Mathematics & Statistics Faculty Publications

No abstract provided.


Not Your Typical Tower Of Sauron: Solutions For Fermi Questions, September 2023, John Adam Jan 2023

Not Your Typical Tower Of Sauron: Solutions For Fermi Questions, September 2023, John Adam

Mathematics & Statistics Faculty Publications

The picture is of the tapering Chester Shot Tower, located in Chester, England. It was built in 1799 for the manufacture of lead shot for use in the Napoleonic Wars. Molten lead was poured through a sieve at the top of the tower, with the tiny droplets forming perfect spheres during the fall; these were then cooled in a vat of water at the base. This process was less labor-intensive than an earlier method using molds. It is the oldest of the three remaining shot towers in the UK. Using the parked van at the base, estimate (i) the height …


"Density" Of Light And Pi, John Adam Jan 2023

"Density" Of Light And Pi, John Adam

Mathematics & Statistics Faculty Publications

Question 1: What is the linear “density” of the spectral range on the ceiling? The crown molding is common for an older (circa 1925) house.

Question 2: The glass shown is a standard 16-oz. water glass engraved with many digits of pi. (The dimensions appear somewhat distorted because of the camera angle chosen to enhance the contrast of the numerals against the dark background.)


Shrub Sphericity, John Adam Jan 2023

Shrub Sphericity, John Adam

Mathematics & Statistics Faculty Publications

Question 1: a. Show that α = 4.836, and hence find the sphericity index for (i) a cube and (ii) two identical "kissing" spheres, i.e., spheres in tangential contact. b. Estimate your sphericity index.

Question 2: Estimate χ for the yucca plant in the picture. It is about 1 m in diameter.