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On The Lagrange And Hermite Quadrature Formula, Shuxia Li, Yonghong Chen Dec 2024

On The Lagrange And Hermite Quadrature Formula, Shuxia Li, Yonghong Chen

School of Mathematical & Statistical Sciences Faculty Publications

This paper builds on the error analysis method for Newton-Cotes quadrature formulas developed by D. R. Hayes and L. Rubin in 1970, which utilizes Lagrange interpolation polynomials. By adopting and extending their approach, this work derives the error estimate for Hermite interpolation quadrature. Specifically, we construct a polynomial P(x) analogous to the scaling function A(x) used by Hayes and Rubin, and prove its non-negativity over the interval. This allows us to establish a precise error formula for Hermite interpolation quadrature. The results provide a novel application of Hayes and Rubin's methodology, offering new insights …

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Personal Exposure To Black Carbon: Impact Of Time-Activity Patterns And Environmental Factors On Exposure Levels, Sai Deepak Pinakana, Johnathan R. Gonzalez, Amit U. Raysoni Dec 2024

Personal Exposure To Black Carbon: Impact Of Time-Activity Patterns And Environmental Factors On Exposure Levels, Sai Deepak Pinakana, Johnathan R. Gonzalez, Amit U. Raysoni

School of Earth, Environmental, & Marine Sciences Faculty Publications

Black carbon (BC) is a critical environmental pollutant with significant implications for human health. This study aims to quantify personal exposure to BC by focusing on the influence of microenvironments and time-activity patterns in the Rio Grande Valley (RGV) region of South Texas, USA. Over eight days in March and April 2023, a portable aethalometer and GPS tracking instruments were used to measure BC exposure among a study participant, alongside recording the time spent in various microenvironments. The BC measurements were correlated to the time activity patterns to calculate BC inhaled dosage values thereby elucidating its impact on human health. …

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Variation In Sorghum Aphid (Melanaphis Sorghi) 1 Populations Translates Into Life History Traits On Sorghum-Sudangrass (Sorghum´ Drummondii), Neetu Khanal, Christopher J. Vitek, Rupesh R. Kariyat Dec 2024

Variation In Sorghum Aphid (Melanaphis Sorghi) 1 Populations Translates Into Life History Traits On Sorghum-Sudangrass (Sorghum´ Drummondii), Neetu Khanal, Christopher J. Vitek, Rupesh R. Kariyat

School of Integrative Biological & Chemical Sciences Faculty Publications

Sorghum aphid (Melanaphis sorghi; SA) (Theobald) is a new invasive pest of sorghum first reported in the USA in 2013. Since then, the use of synthetic pesticides and resistant cultivars have increased, which has caused levels of differences in the populations of SAs and led to the potential emergence of new biotype(s) of SA. However, most research has concentrated on comparing SA fed on sorghum, sugarcane, and other hosts, which may have obscured any population differences that may exist within sorghum. To understand this, we collected three populations of SA that fed on sorghum from three different locations around …

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A B-Polynomial Approach To Approximate Solutions Of Pdes With Multiple Initial Conditions, Muhammad I. Bhatti, Md. Habibur Rahman Nov 2024

A B-Polynomial Approach To Approximate Solutions Of Pdes With Multiple Initial Conditions, Muhammad I. Bhatti, Md. Habibur Rahman

Physics & Astronomy Faculty Publications

In this article, we present a novel B-Polynomial Approach for approximating solutions to partial differential equations (PDEs), addressing the multiple initial conditions. Our method stands out by utilizing two-dimensional Bernstein polynomials (B-polynomials) in conjunction with their operational matrices to effectively manage the complexity associated with PDEs. This approach not only enhances the accuracy of solutions but also provides a structured framework for tackling various boundary conditions. The PDE is transformed into a system of algebraic equations, which are then solved to approximate the PDE solution. The process is divided into two main steps: First, the PDE is integrated to incorporate …

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Bioconvection Dynamics In Rotating And Stationary Cone-Disk Systems, Puneet Rana, Mahanthesh Basavarajappa Nov 2024

Bioconvection Dynamics In Rotating And Stationary Cone-Disk Systems, Puneet Rana, Mahanthesh Basavarajappa

School of Mathematical & Statistical Sciences Faculty Publications

This work focuses on the study of bioconvection in a conical region of rotating and stationary cone-disk systems utilizing nanofluids involving gyrotactic micro-organisms. The flow geometry encompasses two different configurations, namely, rotating cone-disk system (RCDS) and stationary cone-disk system (SCDS). For RCDS, four unique configurations are considered: rotating cone static disk (Model-I), static cone rotating disk (Model-II), co-rotating cone-disk (Model-III), and counter-rotating cone-disk (Model-IV), while SCDS includes both swirling and non-swirling flow scenarios. A total of six different physical configurations that differ in boundary conditions are investigated. The mathematical model comprises Navier–Stokes, energy, nanoparticle volume fraction (NVF), and micro-organism density …

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A Class Of Stable Nonlinear Non-Hermitian Skin Modes, Hamed Ghaemi-Dizicheh Nov 2024

A Class Of Stable Nonlinear Non-Hermitian Skin Modes, Hamed Ghaemi-Dizicheh

Physics & Astronomy Faculty Publications

The non-Hermitian skin effect (NHSE) is a well-known phenomenon in open topological systems that causes a large number of eigenstates to become localized at the boundary. Although many aspects of its theory have been investigated in linear systems, this phenomenon remains novel in nonlinear models. In the first step of this paper, we look at the conditions for the presence of quasi-skin modes in a semi-infinite, one-dimensional, nonlinear, nonreciprocal lattice. In the following phase, we explore the survival time of the quasi-skin mode in a finite nonlinear lattice with open edges. We study the dependency of the survival time on …

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Medilink: A Secure Blockchain Framework For Multi-Institutional Healthcare, Jorge Castillo, Qian Chen Nov 2024

Medilink: A Secure Blockchain Framework For Multi-Institutional Healthcare, Jorge Castillo, Qian Chen

Informatics and Engineering Systems Faculty Publications

The use of Electronic Medical Records (EMRs) in the healthcare industry has proven to be critical for storing highly sensitive information. Disseminating and protecting healthcare data poses major challenges for the current healthcare information system. Blockchain technology provides solutions to these challenges with its inherited properties, such as decentralization, immutability, and transparency. This provides a unique opportunity to improve data sharing among stakeholders. We propose MediLink, a blockchain-based framework for secure collaborative medical storage. MediLink is designed to (1) protect EMR data from cyber attacks, (2) share healthcare information of patients with different stakeholders, and (3) enable the Internet of …

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On The Total Perimeter Of Pairwise Disjoint Convex Bodies, Arseniy Akopyan, Alexey Glazyrin Nov 2024

On The Total Perimeter Of Pairwise Disjoint Convex Bodies, Arseniy Akopyan, Alexey Glazyrin

School of Mathematical & Statistical Sciences Faculty Publications

In this note we introduce a pseudometric on closed convex planar curves based on distances between normal lines and show its basic properties. Then we use this pseudometric to give a shorter proof of the theorem by Pinchasi that the sum of perimeters of 𝑘 convex planar bodies with disjoint interiors contained in a convex body of perimeter 𝑝 and diameter 𝑑 is not greater than 𝑝 + 2(𝑘 − 1)𝑑.

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A Class Of Stable Nonlinear Non-Hermitian Skin Modes, Hamed Ghaemi-Dizicheh Nov 2024

A Class Of Stable Nonlinear Non-Hermitian Skin Modes, Hamed Ghaemi-Dizicheh

Physics & Astronomy Faculty Publications

The non-Hermitian skin effect (NHSE) is a well-known phenomenon in open topological systems that causes a large number of eigenstates to become localized at the boundary. Although many aspects of its theory have been investigated in linear systems, this phenomenon remains novel in nonlinear models. In the first step of this paper, we look at the conditions for the presence of quasi-skin modes in a semi-infinite, one-dimensional, nonlinear, nonreciprocal lattice. In the following phase, we explore the survival time of the quasi-skin mode in a finite nonlinear lattice with open edges. We study the dependency of the survival time on …

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Red Harvester Ants Pogonomyrmex Barbatus (Smith, 1858) (Hymenoptera: Formicidae) Do Not Distinguish Between Sorghum Head Mold Symptomatic And Asymptomatic Seeds, Lilly Victoria Elliott-Vidaurri, Hannah J. Penn, Robin A. Choudhury Nov 2024

Red Harvester Ants Pogonomyrmex Barbatus (Smith, 1858) (Hymenoptera: Formicidae) Do Not Distinguish Between Sorghum Head Mold Symptomatic And Asymptomatic Seeds, Lilly Victoria Elliott-Vidaurri, Hannah J. Penn, Robin A. Choudhury

School of Earth, Environmental, & Marine Sciences Faculty Publications

Red harvester ants, Pogonomyrmex barbatus (Smith, 1858) (Hymenoptera: Formicidae), common in the Lower Rio Grande Valley of Texas, are known to gather seeds from areas around their nests and store the seeds inside their nests for later consumption. As these ants often nest in and near agricultural fields, some of these seeds may be from crops and may also be infected with fungal plant pathogens. These pathogens can degrade seed coats and may cause the seeds to rot within the ant nests, decreasing storage time and potentially spreading the pathogen to other stored seeds. We studied how head mold, a …

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The Rider (2024-11-18), Natalie Lapsley Nov 2024

The Rider (2024-11-18), Natalie Lapsley

The Rider Archives

Vol.10 No.13

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Place-Based Conservation In Coastal And Marine Ecosystems: The Importance Of Engagement With Underrepresented Communities, Viniece Jennings, Kelly M. San Antonio, Mya J. Brown, Lalah Choice, Queriah Simpson, Imani Ford, Hyun Jung Cho, Pedro Solis, Ashley Lacey, De’Marcus Robinson Nov 2024

Place-Based Conservation In Coastal And Marine Ecosystems: The Importance Of Engagement With Underrepresented Communities, Viniece Jennings, Kelly M. San Antonio, Mya J. Brown, Lalah Choice, Queriah Simpson, Imani Ford, Hyun Jung Cho, Pedro Solis, Ashley Lacey, De’Marcus Robinson

School of Earth, Environmental, & Marine Sciences Faculty Publications

Through the years, research has described the importance of community-based approaches in the management of coastal and marine ecosystems. Coastal and marine issues are multifaceted and require place-specific approaches developed in partnership with vulnerable communities who are impacted by environmental stressors. Place-based conservation, a management approach that focuses on unique, place-specific characteristics, and other similar methods. It considers the need to integrate human dimensions and location-centered approaches, which are often lacking in typical natural resource management. Meaningful engagement with underrepresented communities can holistically account for socioeconomic factors and cultural knowledge that inform best management practices. As the health of marine …

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Fringe-Field Actuation Of Mems Cantilever Resonators: Capacitance Model For Frequency-Amplitude Response Of Parametric Resonance, Miguel A. Martinez, Dumitru I. Carantu Nov 2024

Fringe-Field Actuation Of Mems Cantilever Resonators: Capacitance Model For Frequency-Amplitude Response Of Parametric Resonance, Miguel A. Martinez, Dumitru I. Carantu

Mechanical Engineering Faculty Publications

The paper investigates the frequency-amplitude response of micro-electromechanical system (MEMS) cantilever beams, which are actuated by the fringe field at parametric resonance. In this design, a micro cantilever beam (flexible electrode) and a ground plate (fixed electrode) are placed in parallel and connected through an AC voltage. The electrostatic force is due to electric field lines within the volume directly between the cantilever and the ground plate. The parallel-plate capacitance is directly related to the overlapping area of the two electrodes. However, to accurately compute the capacitance of the two electrodes, the effects due to the fringing field must be …

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Teaching With Pedagogy And Empathy, Mamoona Muzammil, Muzammil Arshad, Washain Muzammil Nov 2024

Teaching With Pedagogy And Empathy, Mamoona Muzammil, Muzammil Arshad, Washain Muzammil

School of Integrative Biological & Chemical Sciences (Formerly Dept. of Chemistry)

Mental illness is common and can affect anyone. Each year the University welcomes students with Mental Health Issues. One in four adults in the US will experience a mental illness in their lifetime, however according to a NUS survey, eight out of ten students will experience a mental illness while in higher education. For some student’s mental illness can be a lifelong disability. Others can experience short term issues that emerge around difficult or stressful life events, while some students may be more at risk of experiencing mental illness in relation to their ethnicity, gender, sexuality or socio-economic background. Although …

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Results From A Multi-Laboratory Ocean Metaproteomic Intercomparison: Effects Of Lc-Ms Acquisition And Data Analysis Procedures, Mak A. Saito, Jaclyn K. Saunders, Matthew R. Mcilvin, Erin M. Bertrand, John A. Breier, Margaret Mars Brisbin Nov 2024

Results From A Multi-Laboratory Ocean Metaproteomic Intercomparison: Effects Of Lc-Ms Acquisition And Data Analysis Procedures, Mak A. Saito, Jaclyn K. Saunders, Matthew R. Mcilvin, Erin M. Bertrand, John A. Breier, Margaret Mars Brisbin

School of Earth, Environmental, & Marine Sciences Faculty Publications

Metaproteomics is an increasingly popular methodology that provides information regarding the metabolic functions of specific microbial taxa and has potential for contributing to ocean ecology and biogeochemical studies. A blinded multi-laboratory intercomparison was conducted to assess comparability and reproducibility of taxonomic and functional results and their sensitivity to methodological variables. Euphotic zone samples from the Bermuda Atlantic Time-series Study (BATS) in the North Atlantic Ocean collected by in situ pumps and the autonomous underwater vehicle (AUV) Clio were distributed with a paired metagenome, and one-dimensional (1D) liquid chromatographic data-dependent acquisition mass spectrometry analysis was stipulated. Analysis of mass spectra from …

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Quantization Dimensions For The Bi-Lipschitz Recurrent Iterated Function Systems, Amit Priyadarshi, Mrinal Kanti Roychowdhury, Manuj Verma Nov 2024

Quantization Dimensions For The Bi-Lipschitz Recurrent Iterated Function Systems, Amit Priyadarshi, Mrinal Kanti Roychowdhury, Manuj Verma

School of Mathematical & Statistical Sciences Faculty Publications

In this paper, the quantization dimensions of the Borel probability measures supported on the limit sets of the bi-Lipschitz recurrent iterated function systems under the strong open set condition in terms of the spectral radius have been estimated.

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The Rider (2024-11-04), Natalie Lapsley Nov 2024

The Rider (2024-11-04), Natalie Lapsley

The Rider Archives

Vol.10 No.11

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Non-Vanishing Modulo P Of Hecke L-Values Over Imaginary Quadratic Fields, Debanjana Kundu, Antonio Lei Nov 2024

Non-Vanishing Modulo P Of Hecke L-Values Over Imaginary Quadratic Fields, Debanjana Kundu, Antonio Lei

School of Mathematical & Statistical Sciences Faculty Publications

Let p and q be two distinct odd primes. Let K be an imaginary quadratic field over which p and q are both split. Let Ψ be a Hecke character over K of infinity type (k, j) with 0 ≤ − j < k. Under certain technical hypotheses, we show that for a Zariski dense set of finite-order characters κ over K which factor through the Z2q -extension of K, the p-adic valuation of the algebraic part of the L-value L(κΨ¯¯¯¯¯¯¯,k+j) is a constant independent of κ. In addition, when j = 0 and certain technical hypothesis holds, this constant is zero.

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A Decade Of Monitoring Reveals A Dynamic Fish Assemblage On A Substantial Artificial Reef In The Texas Gulf Of Mexico, David Hicks, Ethan T. Getz, Richard Kline, Carlos E. Cintra-Buenrostro Nov 2024

A Decade Of Monitoring Reveals A Dynamic Fish Assemblage On A Substantial Artificial Reef In The Texas Gulf Of Mexico, David Hicks, Ethan T. Getz, Richard Kline, Carlos E. Cintra-Buenrostro

School of Earth, Environmental, & Marine Sciences Faculty Publications

Fish communities on artificial reefs have rarely been monitored over long periods to evaluate success of reef deployment. Here, we used roving diver surveys to assess changes in fish assemblages on a large, reefed vessel during 2008–2017. Multivariate analyses revealed a dynamic community that stabilized after 5 years. Species richness increased and species dominance decreased during 2008–2017. The fish community shifted toward reef-associated species such as hogfish and pufferfish. Species composition shifted, but trophic structure was relatively stable, which suggested that functional groups may not reflect larger community shifts. Our results indicate that fish communities on artificial reefs are temporally …

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Topology And The Quantum Hall Effects, Paul Bracken Nov 2024

Topology And The Quantum Hall Effects, Paul Bracken

School of Mathematical & Statistical Sciences Faculty Publications

The quantum Hall effects are an excellent example of physical systems where topology plays a major role in accounting for the physical observations. It is shown that the conductivity that appears in the quantum Hall effect is a topological invariant. It is illustrated how a fiber bundle over a torus can be constructed producing a geometry in which the system can be referred. The fractional effect can be studied by introducing homotopy and associated braid groups. Filling fractions can be obtained as a consequence of commensurability relations.

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Algebraic Structures On Parallelizable Manifolds, Sergey Grigorian Nov 2024

Algebraic Structures On Parallelizable Manifolds, Sergey Grigorian

School of Mathematical & Statistical Sciences Faculty Publications

In this paper we explore algebraic and geometric structures that arise on parallelizable manifolds. Given a parallelizable manifold L , there exists a global trivialization of the tangent bundle, which defines a map ρ p : l ⟶ T p L for each point p ∈ L , where l is some vector space. This allows us to define a particular class of vector fields, known as fundamental vector fields, that correspond to each element of l . Furthermore, flows of these vector fields give rise to a product between elements of l and L , which in turn induces …

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Substitution Tilings With Transcendental Inflation Factor, Dirk Frettlöh, Alexey Garber, Neil Mañibo Nov 2024

Substitution Tilings With Transcendental Inflation Factor, Dirk Frettlöh, Alexey Garber, Neil Mañibo

School of Mathematical & Statistical Sciences Faculty Publications

For any λ>2, we construct a substitution on an infinite alphabet which gives rise to a substitution tiling with inflation factor λ. In particular, we obtain the first class of examples of substitutive systems with transcendental inflation factors. We also show that both the associated subshift and tiling dynamical systems are strictly ergodic, which is related to the quasicompactness of the underlying substitution operator.

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Pedagogical Moves Related To Analogy That Support A Unified Understanding Of Eigentheory Concepts In A Quantum Mechanics Class, Kaitlyn Stephens Serbin, Megan Wawro Oct 2024

Pedagogical Moves Related To Analogy That Support A Unified Understanding Of Eigentheory Concepts In A Quantum Mechanics Class, Kaitlyn Stephens Serbin, Megan Wawro

School of Mathematical & Statistical Sciences Faculty Publications

It is beneficial for quantum mechanics students to have a unified understanding of eigentheory concepts, so they can recognize the shared structure of mathematized phenomena from the different quantum mechanical systems of spin, energy, or position and recognize those as instantiations of the same overarching concept. Quantum mechanics instructors should, therefore, provide opportunities for their class community to develop a shared unified understanding of eigentheory concepts. One such opportunity can arise by engaging students in analogizing eigentheory concepts in one context with those from another context. We investigate the pedagogical moves related to analogies that can be used by a …

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Evaluating Indoor Air Quality In Residential Environments: A Study Of Pm2.5 And Co2 Dynamics Using Low-Cost Sensors, Kabir Bahadur Shah, Dylan Kim, Sai Deepak Pinakana, Mkhitar A. Hobosyan, Armando Montes, Amit U. Raysoni Oct 2024

Evaluating Indoor Air Quality In Residential Environments: A Study Of Pm2.5 And Co2 Dynamics Using Low-Cost Sensors, Kabir Bahadur Shah, Dylan Kim, Sai Deepak Pinakana, Mkhitar A. Hobosyan, Armando Montes, Amit U. Raysoni

School of Earth, Environmental, & Marine Sciences Faculty Publications

Indoor air quality (IAQ) poses a significant public health concern, and exposures to high levels of fine particulate matter (PM2.5) and carbon dioxide (CO2) could have detrimental health impacts. This study focused on assessing the indoor air pollutants in a residential house located in the town of Mission, Hidalgo County, South Texas, USA. The PM2.5 and CO2 were monitored indoors: the kitchen and the bedroom. This investigation also aimed to elucidate the effects of household activities such as cooking and human occupancy on these pollutants. Low-cost sensors (LCSs) from TSI AirAssure™ were used in this study. They were deployed within …

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The Rider (2024-10-21), Natalie Lapsley Oct 2024

The Rider (2024-10-21), Natalie Lapsley

The Rider Archives

Vol.10 No.9

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Factors Influencing The Faunal Recolonization Of Restored Thornscrub Forest Habitats, Audrey J. Hicks, Jerald T. Garrett, Christopher A. Gabler Oct 2024

Factors Influencing The Faunal Recolonization Of Restored Thornscrub Forest Habitats, Audrey J. Hicks, Jerald T. Garrett, Christopher A. Gabler

School of Earth, Environmental, & Marine Sciences Faculty Publications

Tamaulipan thornscrub forests (thornforests) have high ecological and economic values, yet over 90% of these forests have been lost, and they remain threatened, making them a conservation hotspot. For decades, federal, state, NGO, and corporate entities have been acquiring land and actively or passively restoring these forests, but results have been mixed and seldom monitored. This study characterized and quantified faunal communities of restored thornforest habitats in south Texas and examined the relationships between restored faunal communities and key site characteristics and environmental factors. We surveyed and analyzed mammal, bird, Lepidoptera, and herptile communities within 12 restored sites in the …

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Editorial: Exploring The Potential Of Nanobiomaterials In Biomedical Engineering: Assessing Biocompatibility, Toxicity, And Future Prospects, Narsimha Mamidi, Ebrahim Mostafavi, Murali M. Yallapu Oct 2024

Editorial: Exploring The Potential Of Nanobiomaterials In Biomedical Engineering: Assessing Biocompatibility, Toxicity, And Future Prospects, Narsimha Mamidi, Ebrahim Mostafavi, Murali M. Yallapu

School of Medicine Publications

No abstract provided.

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Integrable Semi-Discretization For A Modified Camassa-Holm Equation With Cubic Nonlinearity, Bao-Feng Feng, Heng-Chun Hu, Han-Han Sheng, Wei Yin, Guo-Fu Yu Oct 2024

Integrable Semi-Discretization For A Modified Camassa-Holm Equation With Cubic Nonlinearity, Bao-Feng Feng, Heng-Chun Hu, Han-Han Sheng, Wei Yin, Guo-Fu Yu

School of Mathematical & Statistical Sciences Faculty Publications

In the present paper, an integrable semi-discretization of the modified Camassa-Holm (mCH) equation with cubic nonlinearity is presented. The key points of the construction are based on the discrete Kadomtsev-Petviashvili (KP) equation and appropriate definition of discrete reciprocal transformations. First, we demonstrate that these bilinear equations and their determinant solutions can be derived from the discrete KP equation through Miwa transformation and some reductions. Then, by scrutinizing the reduction process, we obtain a set of semi-discrete bilinear equations and their general soliton solutions in the Gram-type determinant form. Finally, we obtain an integrable semi-discrete analog of the mCH equation by …

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Data Quality Based Intelligent Instrument Selection With Security Integration, Sergei Chuprov, Raman Zatsarenko, Leon Reznik, Igor Khokhlov Oct 2024

Data Quality Based Intelligent Instrument Selection With Security Integration, Sergei Chuprov, Raman Zatsarenko, Leon Reznik, Igor Khokhlov

Computer Science Faculty Publications

We propose a novel Data Quality with Security (DQS) integrated instrumentation selection approach that facilitates aggregation of multi-modal data from heterogeneous sources. As our major contribution, we develop a framework that incorporates multiple levels of integration in finding the best DQS-based instrument selection: data fusion from multi-modal sensors embedded into heterogeneous platforms, using multiple quality and security metrics and knowledge integration. Our design addresses the security aspect in the instrumentation design, which is commonly overlooked in real applications, by aggregating it with other metrics into an integral DQS calculus. We develop DQS calculus that formalizes the problem of finding the …

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Deciphering The Local Origins Of Neoliberalism In Central And Eastern Europe: The Example Of Lithuania, Jokubas Salyga Oct 2024

Deciphering The Local Origins Of Neoliberalism In Central And Eastern Europe: The Example Of Lithuania, Jokubas Salyga

Political Science Faculty Publications

This article studies the local lineage of neoliberalism in Lithuania, examining its intellectual pedigree, early proponents and the structural shifts that facilitated its rise. The latter are attributed to the openings created by perestroika and the development of the communication network linking economists within the Reform Movement of Lithuania, émigré intellectuals and Hillsdale College in Michigan. Information exchanges produced within this network generated embryonic neoliberal ideas before 1991. The network also contributed to the establishment of an influential think tank, the Lithuanian Free Market Institute (LFMI), whose policy influence is illustrated by surveying monetary and pension privatisation reforms.

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