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Observational Diagnostics And Spectroscopic Detection Of Tropospheric Trace Gases And Oxidation Processes, Callum E. Flowerday

Theses and Dissertations

The troposphere is governed by photochemical and radical-mediated processes that control atmospheric oxidation capacity, secondary pollutant formation, and the chemical lifetime of gases. Quantitative understanding of these processes requires both robust observational frameworks capable of resolving complex precursor–product relationships and instrumentation with sufficient sensitivity and selectivity to detect reactive and low-concentration species. This dissertation advances atmospheric chemistry through the parallel development of quantitative observational methodologies and refined spectroscopic measurement techniques. The first component of this work evaluates atmospheric oxidation systems using long-term monitoring data and empirical diagnostics. Multi-year analyses of ozone and particulate matter trends were conducted to characterize variability …

Campak Dan Vaksinasi Campak Pada Orang Dewasa, Robert Sinto, Sukamto Koesnoe, Erni Juwita Nelwan, Alvina Widhani, Sharifah Shakinah, Adeline Pasaribu, Bernadine Gracia Duindrahajeng, Suhendro Suwarto, Leonard Nainggolan, Lie Khie Chen, Adityo Susilo, Suzy Maria, Anshari Saifuddin Hasibuan, Bramantya Wicaksana

Jurnal Penyakit Dalam Indonesia

Measles is a highly contagious viral infection that remains a significant global health problem despite the availability of an effective vaccine. Measles re-emergence is driven by gaps in immunization coverage, waning post-vaccination immunity, and increased population mobility. In adults, measles infection is associated with greater disease severity compared to children. This literature review was conducted by reviewing recent scientific publications addressing the epidemiology, pathogenesis, clinical manifestations, diagnosis, management, complications, and prevention of measles, with a focus on the adult population.  Measles is caused by an RNA virus of the Paramyxoviridae family and is transmitted through respiratory droplets and aerosols. Typical …

Variation Of Parameters And Holder-Type Stability In Unperturbed Matrix Differential Systems With Initial Time Difference, Dilara Karslıoglu, Coskun Yakar

Baku Mathematical Journal

In this study, we explore the connection between unperturbed matrix differential systems that exhibit variations in both their initial conditions and the starting time. Through the application of variation of parameters methods, we construct integral representations that reveal this relationship. To formulate Holder-type stability criteria under the presence of an initial time shift in nonlinear matrix differential systems, it is essential to employ the variational framework derived from the unperturbed matrix model.

Asymptotic Behaviour Of The Skewness Coefficient And Excess Kurtosis Of The Renewal-Reward Process With Dependent Components, Afaq E. Abdullayeva, Rovshan T. Aliyev

Baku Mathematical Journal

This paper investigates the skewness and excess kurtosis of renewal-reward process with dependent components, expanding upon classical renewal theory by incorporating dependency structures among the components. We goal to derive expressions for the skewness coefficient and excess kurtosis and explore how dependencies infuence the behavior of the renewal-reward process.

Inverse Problem Of Determining Initial Conditions In A Mixed Problem For A Two-Dimensional Hyperbolic Equation, Yashar T. Mehraliyev, Elvin I. Azizbayov

Baku Mathematical Journal

The article deals with the determination of initial conditions in a mixed problem for a two-dimensional hyperbolic equation. First, the uniqueness of the solution to the corresponding initial–boundary value problem is established. Then, by imposing certain restrictions on the given data, the existence of a solution to this problem is demonstrated. Furthermore, existence and uniqueness theorems are proved for the associated inverse problem of determining the initial conditions.

Grade 8 Mathematics Teachers’ Perceptions Of Students’ Low Performance In A Northeast U.S. State, Jheneal Dixon

Walden Dissertations and Doctoral Studies

The problem that was addressed through the study is that 82% of Grade 8 students score below proficiency on the end of year mathematics exam in a Northeast state. Grounded in Deci and Ryan’s self-determination theory, Maslow’s hierarchy of needs, and Gay’s culturally responsive theory, the purpose of this qualitative study was to explore Grade 8 mathematics teachers’ perceptions of the factors contributing to students’ low performance and the resources needed to support student success. For this basic qualitative design, semistructured interviews with 10 Grade 8 mathematics teachers were conducted. Through thematic analysis, the following four themes emerged: teachers were …

Approved Courses 3-31-26, Angela Brock

Individual Course Committee (ICC)

No abstract provided.

Emotional Intelligence Of Early College High School Juniors, Donna M. Besant

Morehead State Theses and Dissertations

A capstone submitted in partial fulfillment of the requirements for the degree of Doctor of Education in the Ernst and Sara Lane Volgenau College of Education at Morehead State University by Donna M. Besant on March 31, 2026.

Operating Fund Budget/ Expenditure Summary Report 3rd Quarter 2025-26, Csusb Budget Office

University Budget Office records

No abstract provided.

Finite Simple Groups In Which All Cyclic Subgroups Of Prime Power Order Are Ti-Subgroups, Yuexue Wang, Rulin Shen

Baku Mathematical Journal

In this paper, we prove that a finite non-abelian simple S is a PCTI-group if and only if S is or the Janko simple group J1.

The Boundedness Of Maximal Operators In Calderon Weighted B-Morrey Spaces, Sabina H. Kasumova, Sevinc Z. Khaligova

Baku Mathematical Journal

In this paper the boundedness of the B-maximal operator from the BMorrey space is proved.

F-Harmonic Vectors Fields With Potential, Ferdinand Hountondji Koudjo

Baku Mathematical Journal

The problem studied in this paper is related to the f-harmonicity with potential of a vector field from a Riemannian to its tangent bundle TM equipped with the Sasaki metric. We show that an f-harmonic vector field with potential is parallel if and only if f is constant function. We also characterize the f-harmonic vector fields with potential on some three Riemannian Lie groups.

Formulas For The Sums Of Some Conditionally Convergent Series, Bella D. Barmak

Baku Mathematical Journal

In this paper, we find formulas for the sums of two families of conditionally convergent series containing arbitrary real parameters, in terms of elementary functions.

Boundedness Of The Discrete Ahlfors-Beurling Transform On Discrete Weighted Lebesgue Spaces, Amil F. Jabiyev

Baku Mathematical Journal

The Ahlfors-Beurling transform is one of the important operators in complex analysis. This transform plays a crucial role in applications to the theory of quasiconformal mappings and to the Beltrami equation with discontinuous coefficients. The AhlforsBeurling transform has been studied on classical Lebesgue, Morrey, Sobolev, Besov, etc. spaces. However, its discrete version has not been well studied. In this paper, we prove that the discrete Ahlfors-Beurling transform is the bounded operator in discrete weighted Lebesgue spaces.

Application Of The Finite Integral Transformation Method To The Solution Of Mixed Problems For Antiparabolic Equations, Elmagha A. Gasymov

Baku Mathematical Journal

In the paper we study a mixed problem for an antiparabolic equation. Applying the finite integral transformation to the solution of the mixed problem under consideration, we obtain an appropriate spectral problem. Under certain conditions we study the spectral problem and establish some expansion formulas. Applying the inverse integral transformation, we obtain the analytic representation of the mixed problem under consideration.

The Uniqueness Of Reconstruction Of Diffusion Operators With Boundary Condition Depending Quadratically On The Spectral Parameter, Ibrahim M. Nabiev, Leyla I. Mammadova, Guldane S. Mammedzadeh

Baku Mathematical Journal

The article considers diffusion operators with non-separated boundary conditions, one of which contains a quadratic function of the spectral parameter. Some properties of the spectrum of the operators under consideration are given, uniqueness theorems for the solution of inverse problems of reconstruction of the corresponding boundary value problems are proved.

Quantum Superpositions Of Conscious States In A Minimal Integrated Information Model, Kelvin J. Mcqueen, Ian T. Durham, Markus P. Müller

Philosophy Faculty Articles and Research

Could there be quantum superpositions of conscious states, as suggested by the Wigner’s friend thought experiment? Mathematical theories of consciousness, notably integrated information theory (IIT), make this question more precise by associating physical systems with both quantitative amounts of consciousness and structural characterizations of conscious states. Motivated by a recent proposal that ties wave-function collapse to integrated information, we construct a simple quantum circuit that would, on that proposal, place a minimal system—a feedback dyad—into a superposition of states that differ in their associated conscious states. This “Schrödinger’s dyad” provides a controlled setting for evaluating a central desideratum of consciousness-based …

Beyond The Pipeline: First-Generation College Students’ Community Cultural Wealth And Stem Degree Pathways, Douglas Havard, Zahra Gholami, Jue Wu, Danette Y. Martinez, A. J. Balatico, Lara Perez-Felkner

Education Faculty Articles and Research

This study examines how first-generation college students (FGCS) and continuing-generation college students navigate STEM pathways by modeling four sequential milestones in the High School Longitudinal Study of 2009 (HSLS:09): high school graduation, college enrollment, STEM major selection, and STEM degree completion. Guided by Yosso’s Community Cultural Wealth framework, we use survey-weighted sequential logistic regression to estimate stage-specific associations between academic preparation, psychosocial resources, and institutional context, conditional on prior attainment. Results reveal distinct generational patterns of STEM progression. For FGCS, rigorous high school mathematics preparation exerts a powerful influence on high school completion, while later-developing math self-efficacy and science identity …

Saturated Hierarchical Atomic Incremental Learning (Shail): A Behavioral Learning Perspective On Staged Mastery And Saturation, Ernest Fokoue

Articles

We introduce Saturated Hierarchical Atomic Incremental Learning (sHAIL), a learning paradigm in which complex tasks are approached through a sequence of simpler atomic subtasks, each mastered to saturation before progression. The central mechanism is a saturation criterion that detects when learning dynamics enter a plateau region, triggering consolidation and subsequent ascent to a higher level of task complexity. We develop a theoretical framework for sHAIL and show that it naturally gives rise to \emph{staircased convergence}: alternating phases of rapid improvement and genuine plateau. Within each level, classical convergence guarantees apply under standard smoothness conditions, while the hierarchical transitions are driven …

No Intelligence Without Statistics: The Invisible Backbone Of Artificial Intelligence, Ernest Fokoue

Articles

The rapid ascent of artificial intelligence (AI) is often portrayed as a revolution born from computer science and engineering. This narrative, however, obscures a fundamental truth: the theoretical and methodological core of AI is, and has always been, statistical. This paper systematically argues that the field of statistics provides the indispensable foundation for machine learning and modern AI. We deconstruct AI into nine foundational pillars—Inference, Density Estimation, Sequential Learning, Generalization, Representation Learning, Interpretability, Causality, Optimization, and Unification—demonstrating that each is built upon century-old statistical principles. From the inferential frameworks of hypothesis testing and estimation that underpin model evaluation, to the …

Decorrelation, Diversity, And Emergent Intelligence: The Isomorphism Between Social Insect Colonies And Ensemble Machine Learning, Ernest Fokoue, Gregory Babbitt, Yuval Levental

Articles

Social insect colonies and ensemble machine learning methods represent two of the most successful examples of decentralized information processing in nature and computation respectively. Here we develop a rigorous mathematical framework demonstrating that ant colony decision-making and random forest learning are isomorphic under a common formalism of stochastic ensemble intelligence. We show that the mechanisms by which genetically identical ants achieve functional differentiation— through stochastic response to local cues and positive feedback—map precisely onto the bootstrap aggregation and random feature subsampling that decorrelate decision trees. Using tools from Bayesian inference, multi-armed bandit theory, and statistical learning theory, we prove that …

A General Weighting Theory For Ensemble Learning: Beyond Variance Reduction Via Spectral And Geometric Structure, Ernest Fokoue

Articles

Ensemble learning is traditionally justified as a variance-reduction strategy, explaining its strong performance for unstable predictors such as decision trees. This explanation, however, does not account for ensembles constructed from intrinsically stable estimators-including smoothing splines, kernel ridge regression, Gaussian process regression, and other regularized reproducing kernel Hilbert space (RKHS) methods whose variance is already tightly controlled by regularization and spectral shrinkage. This paper develops a general weighting theory for ensemble learning that moves beyond classical variance-reduction arguments. We formalize ensembles as linear operators acting on a hypothesis space and endow the space of weighting sequences with geometric and spectral constraints. …

On The Scientific Stature Of Data Science: The Epistemological Unicorn, Ernest Fokoue

Articles

Data Science has ignited unprecedented academic, industrial, and pedagogical fervor, yet its status as a \textit{science} in the classical sense---comparable to physics or biology---remains profoundly unsettled. This article interrogates the epistemological foundations of Data Science by examining its hybrid theoretical lineage, from the Universal Approximation Theorem to the No-Free-Lunch Theorems, with special emphasis on the fundamental Bayesian optimality results for both regression and classification. We argue that Data Science is in a vigorous \textit{gestational period}, characterized not by an absence of principles but by a creative tension between empirical pragmatism and deep mathematical theory. The Cross-Validation score emerges as the …

Employing Effective Solution Methods For Caputo-Based Sequential Fractional Models, Eman A. A. Ziada, Mohamed F. Abouelenein, Hijaz Ahmad, Monica Botros

Mathematical Modelling and Numerical Simulation with Applications

This paper investigates a class of nonlinear sequential singular fractional differential equations (FDEs) involving Caputo derivatives. This type of equation has several key advantages that enhance its value, such as capturing memory and hereditary effects. Viscoelastic materials and anomalous diffusion, as well as biological systems, can take advantage of this feature. In addition, fractional derivatives possess a sequential structure that enables the implementation of multiscale processes and hierarchical memory responses. Moreover, it provides an effective and flexible framework for solving differential equations compared to classical differential equations. It can therefore be used to model complex systems in physics, biology, and …

Optimal Control Strategies For Infectious Diseases: A Numerical Simulation Approach, M. Abu Salek, Jannatun Nayeem, Romana Yesmin, M. Haider Ali Biswas, M. Humayun Kabir

Mathematical Modelling and Numerical Simulation with Applications

Various infectious diseases, such as Tuberculosis and Hepatitis B virus (HBV), caused by Mycobacterium bacteria and hepatitis B virus, respectively, pose serious threats worldwide. This paper examines the spread of these diseases using a mathematical model that incorporates control measures, including vaccination and awareness programs. We use a system of differential equations with control variables and apply Pontryagin's principle to determine optimal control strategies. The stability of the Disease Free Equilibrium (DFE) has been analysed and demonstrated to be both locally and globally asymptotically stable when the basic reproduction number remains below unity, thereby ensuring disease elimination. Furthermore, the Endemic …

Vision Transformer Model For Multiclass Classification And Localization Of Thoracic Abnormalities In Chest X-Rays, Mohammed Ahmed Talab, Sumia Abdulhussien Razooqi Al-Obaidi, Othman I. Hammadi, Suryanti Awang, Nur Syafiqah Mohd Nafis, Hasan Kahtan

Mesopotamian Journal of Big Data

Chest X-rays (CXRs) have been utilized as an important tool for diagnosing thoracic diseases because of their cost-effectiveness and accessibility. However, subtle signs of diseases, anatomical overlap and lack of expert radiologist in certain areas lead to difficulty in reading the CXRs. This indicates the needs of automated diagnostic systems to be accurate. Existing deep learning methods have shortcomings because they require pixel-level annotations to train models well. To address this problem, this study proposes Vision Transformers (ViT) with transfer learning for multiclass classification and weakly supervised localization of thoracic diseases in chest X-ray images. The technique uses patching, positional …

The Effects Of Interactive Instruction In Medical Education On Learners' Motivation, Technology Acceptance, And Learning Satisfaction, Bo-Yuan Lin

Journal of Medical Education

Purpose: Medical education is characterized by complex content and high cognitive demands, which often challenge learners. motivation and engagement. With advances in educational technology, interactive teaching approaches have gained increasing attention for their potential to enhance learning experiences. This study aimed to investigate the effects of integrating an Interactive Response System (IRS) into a medical education course on learners. learning motivation, technology acceptance, and learning satisfaction.

Methods: A single-group posttest design was employed. Participants were 23 healthcare professionals specializing in respiratory therapy who attended a professional training course on the clinical application of high-frequency ventilators. During the 50-minute instructional session, …

On Links Between A Theorem Of Schoenberg, Rohlin Decompositions Of Measures, The Bochner-Minlos Theorem And The Fock Space, Daniel Alpay, Paula Cerejeiras, Palle Jorgensen, Uwe Kaehler

Mathematics, Physics, and Computer Science Faculty Articles and Research

The main goal of this paper is to gain new results in stochastics by drawing on, and combining, different areas that are normally not considered to be related. Thus, in this paper we extend the previous class of Gaussian-like functions ML which will allow for future generalized stochastic processes in infinite dimensional analysis. We show that an approach similar to the one by the classical Bochner-Minlos theorem for the white-noise case can be achieved by using Gaussian-like functions belonging to a large family -the ML_r classes (0 < r ≤∞). We show how Schoenberg’s theorem for positive definite functions on a Hilbert space allows to go beyond the classical setting of Bochner-Milnos theorem. Furthermore, we show that the application of the Rohlin’s disintegration theorem allows for a decomposition of the associated probability measures , see Theorems 3.2 and 4.3. We end this paper with several important examples of functions in these classes ML_r and provide some interesting counterexamples, e.g. Theorem 7.4, to get a …

Quantum Indiscernibility And Perspectivalism, Emily Adlam

Mathematics, Physics, and Computer Science Faculty Articles and Research

It has often been suggested that similar quantum particles may be a counterexample to the principle of the Identity of Indiscernibles. In this article, I discuss the status of indiscernibility in a perspectival approach to quantum mechanics. I argue that adopting an internal physical perspective can have the effect of making entities discernible even if they are not discernible relative to external reference frames, and thus perspectivalism offers a new way to understand the physical meaning of weak discernibility. I discuss whether this approach is circular, and I consider whether the reference frames involved are physically meaningful. I conclude that …

Approved Programs 3-31-26, Angela Brock

Programs Committee (PC)

No abstract provided.