Digital Commons Network^™

Analytic Continuation Of Time In Brownian Motion. Stochastic Distributions Approach, Luis Daniel Abreu, Daniel Alpay, Tryphon T. Georgiou, Palle Jorgensen

Mathematics, Physics, and Computer Science Faculty Articles and Research

With the use of Hida's white noise space theory and spaces of stochastic distributions, we present a detailed analytic continuation theory for classes of Gaussian processes, with focus here on Brownian motion. For the latter, we prove and make use of bounds in the complex plane for the Hermite functions; as well as a new approach to stochastic distributions. This in turn allows us to present (in Section 6) an explicit formula for an analytically continued white noise process, realized this way in the complex domain. With the use of the Wick product, we then apply our complex white noise …

Single-Valued Neutrosophic Pessimistic Multi-Granulation Rough Set Model Based On (A,B,C)-Cut Relations And Its Applications, Xu-Xi Wu, Hu Zhao, Qiao-Ling Song, Xiong-Wei Zhang

Neutrosophic Systems with Applications

To address uncertainty in multi-source data, this paper proposes a single-valued neutrosophic pessimistic multi-granulation rough set (P-SVN-MGRS) model based on (a,b,c)-cut relations. In this framework, each neutrosophic relation is characterized by three membership-degree functions: T(x,y), I(x,y), and F(x,y). These functions correspond to truth-membership, indeterminacy, and falsity, respectively. The (α,β,γ)-cut relation employs parameters α,β,γ∈(0,1] as thresholds for the three functions. A pair (x,y) belongs to …

2026 January 15 - Tennessee Weekly Drought Summary, Tennessee Climate Office, East Tennessee State University

Tennessee Climate Office Weekly Drought Summaries

No abstract provided.

Analysis Of A Few Quantum Algorithms And Circuits Related To Boolean Functions, Suman Dutta

Doctoral Theses

Boolean functions are fundamental to computation and presently play a crucial role in quantum information processing. This thesis presents two facets of Boolean functions in the context of quantum computing: (I) extending and applying the theoretical framework of Forrelation to cryptographic analysis, and (II) designing efficient quantum circuits for multi-controlled Toffoli gates and Boolean circuit implementations. Given two Boolean functions $f$ and $g$, Forrelation, introduced by Aaronson (2010), measures the correlation between the truth table of $f$ and the Walsh-Hadamard transform of $g$ at the corresponding points. Here, we revisit the Forrelation framework to study several cryptographically significant spectra of …

Combinatorial & Algebraic Approaches In Analyzing Mutually Unbiased Bases (Mubs) And Their Approximations, Rakesh Kumar

Doctoral Theses

Mutually Unbiased Bases (MUBs) are an important concept in quantum information theory. Two orthonormal bases in a $d$-dimensional complex Hilbert space $\mathbb{C}^d$ are said to be mutually unbiased if the absolute value of the inner product between any pair of vectors, one from each basis, is $1/\sqrt{d}$. A set of $r$ orthonormal bases is called mutually unbiased if every pair of bases in the set is unbiased. It is known that at most $d + 1$ mutually unbiased bases can exist in $\mathbb{C}^d$, and a set achieving this bound is termed a \emph{complete sets of MUBs} in $\mathbb{C}^d$. We can …

Spectroscopic Investigations On Polyvinylidene Fluoride Nanofibers, Parinaz Amaniabdolmalaki, Jui Vitthal Kharade, Alexandro Trevino, Lydia Morales, Karen Lozano, Victoria Padilla, Karen S. Martirosyan, Horacio Vasquez, Mircea Chipara

Physics & Astronomy Faculty Publications

The production of polyvinylidene fluoride nanofibers by force-spinning from polymer solutions was confirmed by electron microscopy. The structural and phase characteristics of the resulting nanofiber mats were examined using Fourier Transform Infrared Spectroscopy in Attenuated Total Reflectance mode, Raman spectroscopy, and X-ray Diffraction. Results from all these techniques consistently indicated that both the powder and the mats of polyvinylidene fluoride predominantly contain the α phase, with a small admixture of the β phase. Within experimental errors, no other phases were noticed both in the powder and in the as-obtained mats. The ratios of the areas of the Raman lines at …

Comparing And Optimizing Hollow Fibre And Flat Sheet Vacuum Membrane Distillation, Hamed Kariman, Mehdi Khiadani, Hussein A. Mohammed

Research outputs 2022 to 2026

Membrane Distillation (MD) systems have the potential to tackle the growing global water demand. Within various MD systems, Vacuum Membrane Distillation (VMD) systems are particularly important in addressing this issue. Hollow Fibre VMD (HF-VMD) and Flat Sheet VMD (FS-VMD) are the two main configurations of VMD systems, where limited studies are available on their comparison and optimisation under identical operational conditions. This study firstly charts the mathematical modelling of HF-VMD and FS-VMD systems that have been developed, accounting for the amount of flux, Gain Output Ratio (GOR), Temperature Polarisation Coefficient (TPC), and Specific Thermal Energy Consumption (STEC) of both configurations …

Mooring Analysis In Offshore Floating Labs: Case Study On A 15 Mw Wind Platform, Chenyu Zhao, Jiaxin Chen, Lars Johanning

School of Engineering, Computing and Mathematics

As floating offshore wind turbines (FOWTs) expand into deeper and more complex marine environments, validating mooring system performance under real-world conditions becomes critical. This study investigates whether the purposely designed offshore floating laboratory (OffLab), named ACTOR, can serve as an effective and conservative testbed for mooring line evaluation. ACTOR is a conceptual platform inspired by the floater of the UMaine VolturnUS-S 15 MW semi-submersible FOWT design. The dimension of the ACTOR is about one third of the 15 MW semi-sub floater and is intended deployment in a nearshore UK site with milder sea conditions. Using site-specific environmental data from two …

Pythagorean Neutrosophic Mathematical Modelling, M. Kavitha, R. Irene Hepzibah

Neutrosophic Systems with Applications

Survey-based assessments often suffer from ambiguity, inconsistency, and uncertainty, which weaken the reliability of decision-making outcomes. To address these challenges, this study proposes a novel decision-support framework for data fuzzification, ranking, and agility measurement using Pythagorean Neutrosophic Fuzzy Sets (PNFS). The proposed method offers three major advantages: (i) enhanced ability to capture high levels of indeterminacy compared with classical fuzzy and intuitionistic models, (ii) improved ranking accuracy through a newly developed score function and ranking algorithm, and (iii) greater robustness in scenarios involving conflicting, incomplete, or imprecise expert judgments. The framework includes a refined Pythagorean Neutrosophic fuzzification technique, mathematically supported …

Neutrosophic Hankel Transforms And Their Application To Cross-Domain Legislative Integration, Mona Gharib, Mehboob Ali, Ishtiaq Hussain

Neutrosophic Systems with Applications

This paper introduces the Neutrosophic Hankel Transform (NHT) as a novel mathematical framework for modeling systems with radial structure under uncertainty, indeterminacy, and inconsistency. Building upon classical Hankel transforms and neutrosophic logic, we define two complementary realizations: a componentwise transform (NHT–C) that transports uncertainty with the signal, and a kernel-weighted transform (NHT–K) that embeds neutrosophic weights into the integral kernel. We establish linearity, inversion, and Parseval-type relations, and derive operational rules that diagonalize the Bessel radial operator.

To demonstrate utility, we formulate a radial diffusion–reaction model for pollutant concentration in a radialized river cross-section and solve it in closed form …

A Study Of Regular And Irregular Complex Neutrosophic Vague Graphs, Suriyakumar G, V. J. Sudhakar

Neutrosophic Systems with Applications

In this paper, We define the regular complex neutrosophic vague graph and the irregular complex neutrosophic vague graph for this purpose. We specify a node’s degree and total degree in a normal complex neutrosophic vague graph. A few features and theorems of those regular and irregular complex neutrosophic vague graphs are presented. This article defines busy and free nodes in a normal complex neutrosophic vague graph. Also, we describe a regular and irregular complex neutrosophic vague graph with a cycle as the underlying crisp graph.

From Uncertainty To Lucidity: Awareness Neutrosophic Kähler-Einstein Innovative Evaluator Methodological In Era Of Green Artificial Intelligence, Mona Mohamed, Ahmed M. Ali

Neutrosophic Systems with Applications

The rapid development of generative artificial intelligence (Gen AI) is a double-edged sword. On the positive side, Large Language Models (LLMs) of Gen AI as chatbot considered intelligent friend. Due to its potential to stimulate the maturation of ideas and cultivate fundamental general abilities like problem-solving and critical thinking. The advancement of Gen AI continued after that, moving from “chatbots” to “AI agents” that carry out multi-step activities in addition to responding to queries.

Regarding the downside, the terminology of “Red AI” era brought about by generative AI is marked by a performance at any expense that puts pressure on …

Synergistic V2ctₓ Mxene–Pani Hybrid With Expanded Interlayers For Ultrastable And High-Rate Pseudocapacitive Energy Storage, Amideddin Nouralishahi, Maryam Sharifi Paroushi, Mansour Razavi, Amarachi Clare Nnachor, Harish Singh, Manashi Nath

Chemistry Faculty Research & Creative Works

Recently, MXene-conducting polymer hybrids have emerged as promising electrode materials for sustainable energy storage applications, owing to their impressive electrochemical properties. Herein, we report the synthesis of vanadium carbide MXene nanoparticles (V2CT_x-MXene) using innovative Spark Plasma Sintering (SPS) technology followed by exfoliation steps. The V2CT_x nanoparticles were incorporated with PANI (MXene-PANI) by electrochemical polymerization of aniline monomers in the presence of V2CT_x nanolayers, to be used as a highly efficient material for charge storage application. PANI nanofibers form a conductive and porous architecture, which intercalates the V2CT_x nanoflakes. The resulting structure increases the interlayer spacing …

Improving Stem Assessments: Strategies For Increasing The Accessibility And Adoption Of Two-Stage Exams, Kristina Callaghan

LSU Doctoral Dissertations

Over three decades of research have shown that students taught using active learning strategies achieve better learning outcomes compared to those taught using traditional methods. Two-stage exams, which pair a traditional exam with a group component, are an increasingly popular method for incorporating active learning within the assessment component of a course. Previous studies have shown this assessment strategy provides a variety of benefits for students, including increased engagement and collaboration, immediate feedback, and potentially increased content retention. However, the unique circumstances of each instructor can pose a non-trivial barrier to the implementation of two-stage exams. In this thesis, we …

The War Between N+1 And The Elegant Variation, Or When Production Overlooks Consumption In The Literary Political Economy, Elisabeth Chaves

Fast Capitalism

No abstract provided.

The Political Economy Of Knowledge: Neglecting Political Economy In The Age Of Fast Capitalism (As Before), Robert Babe

Fast Capitalism

No abstract provided.

"Second Nature": Advertising, Metaphor And The Production Of Space, Shane Gunster

Fast Capitalism

No abstract provided.

About The Authors, Fast Capitalism Editorial Team

Fast Capitalism

No abstract provided.

Full Issue, Fast Capitalism Editorial Team

Fast Capitalism

No abstract provided.

C. S. Lewis And Artificial Intelligence: An Ai Ethics Problem, Justin E. Edgerly

Sehnsucht: The C. S. Lewis Journal

This paper demonstrates that the quest for safe and ethical AI is undermined by much of the philosophy, implicit and explicit, in AI literature and undergirding AI research and development. C. S. Lewis’s writings provide a prescient and penetrating critique of this philosophy and point toward a “regenerate science” that addresses the present need for wisdom in AI development. This paper contributes to the field of AI ethics by presenting several Lewisian concerns about the nature, application, and undergirding philosophy of current and future AI technologies, as well as a Lewisian perspective on the requirements for safe and ethical AI.

Of Metaphors And Measurements: Cross-Disciplinary Learning In K-8 English Language Arts And Mathematics, Morgan Shiver, Janet Shiver

New Jersey English Journal

English Language Arts and mathematics may seem like an unlikely pair, but together, literature and math can foster meaningful cross-disciplinary learning. This article presents strategies for using literature in K-8 classrooms to meet both ELA and math standards, enhancing student engagement and comprehension.

Beyond Black And White: Embracing Every Hue Through Words, Stories, And Unapologetic Truths, Darius M. Phelps

New Jersey English Journal

Literacy shapes how students interpret and engage with the world, yet traditional education often compartmentalizes it. This article explores racial literacy and poetry as transformative, interdisciplinary tools for critical inquiry and identity formation. Grounded in scholarship and practical strategies, it calls for reimagining literacy instruction as empowerment across disciplines and lived experiences.

Moving Beyond Reading And Writing: Incorporating Historically Responsive Literacy Into Literacy Instruction In Content Area Classrooms, Andrea Lemahieu Glaws

New Jersey English Journal

This article describes the practices on teacher educator used to incorporate a historically responsive literacy framework into a disciplinary literacy course offered for pre-service teachers. This article begins with an overview of disciplinary literacy and Dr. Muhammad’s historically responsive literacy framework. Following, this article describes three assignments that the teacher educator used within her classroom to support pre-service teachers across multiple content areas in making connections between HRL and their content area discipline. These three assignments include: lab reflections, curriculum analysis, and mini-lesson facilitation. Connections to implications beyond teacher education are made.

Cover, Editors' Note, Front Matter, Susan Chenelle, Lauren Zucker

New Jersey English Journal

No abstract provided.

The Destiny Of The Mind, East And West, William S. Haas

Hannah Arendt Marginalia - All

London, Faber and Faber [1956]

Call #: B799 .H15 1956

Contais marginalia, underlining and marginal lining

PDF Information: 124 Pages - 63.1 MB

Scientific Foundations And Their Manifestations In Literary Criticism, Hamid Lahmidani

SOROUD: The journal of Literacy Criticism

The present study seeks to demonstrate the strong relationship between the various sciences and the practice of literary criticism, and to contribute to the shaping and development of critical programs. This occurs in parallel with the treatment of literary texts, the assimilation of their structural nature, and the subsequent uncovering of their allegorical and symbolic connotations. It has therefore been necessary to attend to the ways in which scientific disciplines contribute to the development of the mechanisms of literary criticism. Among these fertile sciences are mathematics, logic, and empirical forms of knowledge, followed by the human sciences such as history, …

Stylespade: Realistic Image Augmentation For Robust Infrastructure Crack Segmentation Via Ensemble Learning, Jaeung Sim, Menas Kafatos, Seung Hee Kim, Yangwon Lee

Institute for ECHO Articles and Research

The rapid deterioration of global infrastructure necessitates precise and automated crack detection technologies for proactive maintenance. However, deep learning-based segmentation models often suffer from a scarcity of diverse, high-quality labeled datasets. This study proposes StyleSPADE, a novel conditional image generation model that integrates semantic masks and style images to synthesize realistic crack data with diverse background textures while preserving precise geometric morphology. To validate the effectiveness of the generated data, we conducted extensive semantic segmentation tasks using Transformer-based (Mask2Former, Swin-UPerNet) and CNN-based (K-Net) models. Experimental results demonstrate that StyleSPADE-based augmentation significantly outperforms baseline models, achieving a Crack IoU of 0.6376 …

Africa's Global Influence, Faez Al-Haq - Abidemi Salami

Masters Theses

This thesis believes in the design and production of an interactive kids' coloring book on Africa's extensive influence on world cultures, history, economies, and artistic heritage. In a bid to reverse centuries of misrepresentation and large-scale miseducation regarding Africa within early childhood textbooks, this work aims to design an interactive, kid-friendly guide that informs young readers about the central role Africa plays in today's world. Informed by thorough literature review and referencing case studies of successful education and culture intervention, the proposal positions Africa's global reach, spanning from its precolonial trading networks, philosophic structures, diaspora contributions, art heritage, and cultural …

ℤ3-Graded Cartan Calculus On 𝒪(ℂQ1|1|1), Sultan Çeli̇k, Sali̇h Çeli̇k

Turkish Journal of Mathematics

After a brief introduction of the basic concepts of ℤ₃-grading, the paper continues by introducing ℤ₃-graded differential calculus and ℤ₃-graded Cartan calculus. Then, using a matrix R which is a solution of the Yang-Baxter equation, a new ℤ₃-graded quantum group and a ℤ₃-graded quantum space are introduced. The scheme of the ℤ₃-graded differential calculus developed on the algebra of functions on this quantum space is extended to the ℤ₃-graded Cartan calculus and all the results obtained are formulated using the matrix R.

High Thermoelectric Power Conversion Efficiency Of An Earth-Abundant Janus Silicon Oxy-Sulfide Monolayer: A First-Principles Study, Zakariae Darhi, Mounaim Bencheikh, Ravindra Pandey, Larbi El Farh

Michigan Tech Publications

The tunable properties of Janus monolayers, along with advances in their synthesis, make these low-symmetry materials excellent candidates for thermoelectric power generation. In this study, we systematically investigate the electronic and thermal properties of the Janus silicon oxy-sulfide monolayer. The results based on density functional theory reveal that the monolayer is stable. It exhibits a tunable direct band gap and strong covalent bonding. Its ultralow lattice thermal conductivity (< 0.38 W mK⁻¹ at 300 K) is attributed to the broken phonon selection rule for phonon–phonon scattering and a high level of anharmonicity, as reflected in the large Grüneisen parameter. Furthermore, the inclusion …