Standing Waves Of Schrödinger Equation With Constant Magnetic Field And Combined Power Nonlinearities,
2025
The University of Texas Rio Grande Valley
Standing Waves Of Schrödinger Equation With Constant Magnetic Field And Combined Power Nonlinearities, Zhaosheng Feng, Yu Su
School of Mathematical & Statistical Sciences Faculty Publications
We study standing waves of the Schrödinger equation with constant magnetic field and combined power nonlinearities, which describes a single non-relativistic quantum particle in the presence of an electromagnetic field. We develop the local minima geometry method to establish the existence, estimates and mass collapse results for this equation, which generalize exiting results in the literature.
Enhancing Science Learning Outcomes With Sitaya Miniature Media: A Quantitative Study Of Elementary Education,
2025
Kuningan University
Enhancing Science Learning Outcomes With Sitaya Miniature Media: A Quantitative Study Of Elementary Education, Gilang Kripsiyadi Praramdana, Hamdan Hamdan, Agus Gunawan, Fauziah Dwi Hijriani
Jurnal Pendidikan Sains
This study investigates the impact of SITAYA Miniature media on the learning outcomes of grade VI students in science subjects at SDN 2 Darma. Conventional teaching methods, often less engaging for students, were identified as a significant factor contributing to low academic performance. The study employed a quantitative research approach, with a randomized sample of 43 students divided into an experimental group (24 students) and a control group (19 students). Pretest and posttest data were collected using a structured test instrument, and statistical analyses, including normality, homogeneity, t-tests, and N-Gain tests, were conducted to assess the effectiveness of SITAYA Miniature …
The 3d Double Spherical Pendulum: Modeling, Analysis, And Simulations,
2025
Taylor Center
The 3d Double Spherical Pendulum: Modeling, Analysis, And Simulations, Alexander Gofen
CODEE Journal
This paper presents an inquiry-based research project that develops and analyzes the system of ordinary differential equations governing the motion of the 3D double pendulum, blending computational experiments with applied and theoretical mathematics. We formulate the Lagrangian for the three-dimensional double spherical pendulum and use Maple to derive the four coupled ordinary differential equations (ODEs) in angular variables; for completeness, we also present an equivalent Cartesian formulation. We then compare and visualize the models using the Taylor Center high-order Taylor-series solver, which delivers high-accuracy trajectories and real-time animations in 2D and anaglyph 3D (red/blue). We place the system in context …
Applied Linear Regression Techniques To Biomedical Research And Detecting Change-Points To Enhance Model Flexibility By Improving Interpretability And Applicability,
2025
Arkansas State University
Applied Linear Regression Techniques To Biomedical Research And Detecting Change-Points To Enhance Model Flexibility By Improving Interpretability And Applicability, Hoang Vu
Student Theses and Dissertations
This thesis examines change-point detection in statistical models through the framework of two-way truncated linear regression with threshold effects. Our work is based on Two-Way Truncated Linear Regression Models with Extremely Thresholding Penalization (TWT-LR with ETP) by Teng and Zhang (2022) which is an innovative approach extends traditional linear regression by incorporating potential change-points in both intercept and slope parameters, effectively handling multiple change-points through a specialized penalization technique that shrinks small coefficients to zero. This methodology demonstrates remarkable effectiveness in identifying significant change-points while maintaining computational efficiency. We propose a framework that models both upper and lower thresholds in …
Extensions Of Multicurve Stabilizers Are Hierarchically Hyperbolic,
2025
Swarthmore College
Extensions Of Multicurve Stabilizers Are Hierarchically Hyperbolic, Jacob Russell
Mathematics & Statistics Faculty Works
For a closed and orientable surface S with genus at least 2, we prove that the π₁(S)-extensions of the stabilizers of multicurves on S are hierarchically hyperbolic groups. This answers a question of Durham, Dowdall, Leininger and Sisto. We also include an appendix that employs work of Charney, Cordes and Sisto to characterize the Morse boundaries of hierarchically hyperbolic groups whose largest acylindrical action on a hyperbolic space is on a quasitree.
Existence And Stability Theory Of A Neurologically Inspired Parabolic Pde Model With A Nonlinear Time-Delayed Boundary Condition,
2025
The University of Texas Rio Grande Valley
Existence And Stability Theory Of A Neurologically Inspired Parabolic Pde Model With A Nonlinear Time-Delayed Boundary Condition, Gangadhara Boregowda, Michael R. Lindstrom
School of Mathematical & Statistical Sciences Faculty Publications
In this paper, we establish the existence of a positive, bounded solution for a class of parabolic partial differential equations with nonlinear boundary conditions, where the boundary conditions depend on the solution on the boundary at a time 𝜏≥0 in the past. These equations model the production dynamics of a protein species by a single cell, where a feedback mechanism downregulates the protein’s production. Furthermore, we analyze the stability of a nontrivial steady-state solution and provide sufficient conditions on the nonlinearity parameter, boundary flux, and time-delay that ensure the occurrence of a Hopf bifurcation.
Long-Term Behavior Of Subordinated Branching Processes With Prevailing Emigration,
2025
The University of Texas Rio Grande Valley
Long-Term Behavior Of Subordinated Branching Processes With Prevailing Emigration, George Yanev
School of Mathematical & Statistical Sciences Faculty Publications
This paper deals into the long-term behavior of subordinated critical branching processes with migration. We focus on scenarios where emigration is the dominant factor and introduce additional randomness in timing through a subordination mechanism, involving renewal processes. The key findings highlight how the initial population size and the interarrival mean time influence both asymptotic behavior of the non-extinction probability and corresponding Yaglom type limit theorems. We also study an alternating regenerative process, when the population cycles between zero and positive states. This research complements previous studies for processes when immigration prevails over emigration.
Matrices Induced By Scaled Hypercomplex Numbers Over The Real Field R,
2025
Chapman University
Matrices Induced By Scaled Hypercomplex Numbers Over The Real Field R, Daniel Alpay, Ilwoo Choo
Mathematics, Physics, and Computer Science Faculty Articles and Research
In this paper, we construct, and study a certain type of definite, or indefinite inner product spaces over the real field R, induced by the scaled hypercomplex numbers Ht for a fixed scale t ∈ R, and some bounded operators acting on such vector spaces. In particular, we are interested in the vector spaces HNt consisting of all N-tuples of scaled hypercomplex numbers of Ht, and the (N x N)-matrices acting on HNt whose entries are from Ht, i.e., Ht-matrices, for all N ∈ N. For an arbitrarily fixed …
Quantization For The Mixtures Of Uniform Distributions On Connected And Disconnected Line Segments,
2025
The University of Texas Rio Grande Valley
Quantization For The Mixtures Of Uniform Distributions On Connected And Disconnected Line Segments, Asha Barua, Gustavo Fernandez, Ashley Gomez, Olga Lopez, Mrinal Kanti Roychowdhury
School of Mathematical & Statistical Sciences Faculty Publications
In this paper, we have studied various mixed distributions generated by two uniform distributions: first, where the supports are two connected line segments, and second, where the supports are two disconnected line segments. For these mixed distributions, we have determined the optimal sets of n-means and the corresponding nth quantization errors for all positive integers n. The methods developed in this paper can be applied more generally to investigate optimal quantization for any mixed distribution P:=pP1+(1−p)P2, where P1 and P2 are arbitrary probability distributions supported on either connected or disconnected line segments, and (p,1−p) is any probability …
How Many Symmetries Of The Regular N-Gon Are Even?,
2025
University of Houston Downtown
How Many Symmetries Of The Regular N-Gon Are Even?, Thi Mai Khoi Ha
Rose-Hulman Undergraduate Mathematics Journal
One of the simplest classes of finite groups used as a source of counterexamples in a first course of modern algebra is the class of finite dihedral groups. Among the subgroups of dihedral group, finding subgroups of index 2 is of interest in part because these subgroups are normal subgroups. In this article, we use the representations of the symmetries of the dihedral groups as permutations of the vertices and determine concretely all its subgroups of index 2. Under this representation or embedding, the article determines the intersection of the dihedral group with the corresponding alternating groups when they are …
Incremental Increases Between Successive Integers When Raised To The Nth Power,
2025
St. Christopher's School
Incremental Increases Between Successive Integers When Raised To The Nth Power, Sutton J. Olesen
Rose-Hulman Undergraduate Mathematics Journal
For thousands of years, the beautiful field of number theory has captivated mathematicians with its elegant simplicity. Positive integers continue to reveal properties and relationships that are a joy to uncover, and in this paper, we investigate a pattern involving exponents and factorials while exploring some common notations in the field of number theory. Combinatorics, the field dealing with the mathematics of counting and arranging, also holds a presence in this paper. Pascal’s Triangle–the foundation of binomial expressions, also comes into play due to its tight relationship with combinatorics. Pascal’s Identity, the property that builds the triangle, becomes very useful …
New Fiber And Graph Combinations Of Convex Bodies,
2025
Longwood University
New Fiber And Graph Combinations Of Convex Bodies, Steven Hoehner, Sudan Xing
Mathematical Sciences Faculty Publications and Presentations
Three new combinations of convex bodies are introduced and studied: the fiber, chord, and graph combinations. These combinations are defined in terms of the fibers and graphs of pairs of convex bodies, and each operation generalizes the classical Steiner symmetral, albeit in different ways. For the fiber and chord combinations, we derive Brunn-Minkowski-type inequalities and the corresponding Minkowski's first inequalities. We also prove that the general affine surface areas are concave (respectively, convex) with respect to the graph sum, thereby generalizing fundamental results of Ye (Indiana Univ. Math. J. 14 (2014), 1-19) on the monotonicity of the general affine surface …
Wave Intensity Analysis With Exercise Identifies Impairments In Pulmonary Hypertension,
2025
University of South Carolina
Wave Intensity Analysis With Exercise Identifies Impairments In Pulmonary Hypertension, Christopher G. Lechuga, Farhan Raza, Mitchel J. Colebank, Claudia E. Korcarz, Jens C. Eickhoff, Naomi C. Chesler
Faculty Publications
Wave intensity analysis provides a novel approach to understanding the dynamic interactions between the right ventricle and pulmonary vasculature, particularly in pulmonary hypertension, a condition characterized by elevated pulmonary arterial pressures and vascular remodeling. This prospective study used wave intensity analysis to evaluate right ventricular and pulmonary vascular mechanics in 22 participants with pulmonary hypertension (including precapillary, isolated postcapillary, and combined pre/postcapillary pulmonary hypertension), and three without pulmonary hypertension. Forward and backward compression and decompression waves were quantified at rest and during incremental exercise (25, 50, and 75 W). Relationships between metrics of wave intensity analysis, hemodynamics, right ventricular function, …
Improved Berezin Radius Inequalities For Functional Hilbert Space Operators,
2025
TÜBİTAK
Improved Berezin Radius Inequalities For Functional Hilbert Space Operators, Mojtaba Bakherad, Ulaş Yamanci, Mohammad W. Alomari
Turkish Journal of Mathematics
The Berezin number of an operator S is defined by ber(S) = supλ∈Θ |Ŝ(λ)| = supλ∈Θ |⟨Sĸ̂λ, ĸ̂λ⟩|, where Ŝ(λ) = ⟨Sĸ̂λ, ĸ̂λ⟩ (λ ∈ Θ) is the Berezin transform of an operator S on the functional Hilbert space ℋ = ℋ(Θ) and ĸ̂λ = ĸλ / ‖ĸλ‖ is the normalized reproducing kernel of ℋ. In this paper, we show an improvement of the classical Cauchy–Schwarz inequality involving the Berezin number. Moreover, some Berezin numbers inequalities are proven for invertible operators.
Application On Convolution For Fuzzy Differential Subordination Of Meromorphic Functions,
2025
TÜBİTAK
Application On Convolution For Fuzzy Differential Subordination Of Meromorphic Functions, Kholood Mohamed Alsager, Fethi̇ye Müge Sakar, Alina Alb Lupas, Sheza Mohamed El-Deeb
Turkish Journal of Mathematics
This paper investigates fuzzy differential subordinations involving meromorphic functions defined in the punctured unit disk. A novel operator based on the Hadamard product (also known as convolution) is introduced to establish new results in the theory of fuzzy differential subordination. This operator provides a generalized framework that extends classical analytic methods to the fuzzy setting, offering new insights into the geometric behavior of meromorphic functions under fuzzy conditions. Several sufficient conditions for fuzzy differential subordination are derived, and their connections to existing results are discussed. The findings contribute to the growing body of literature at the intersection of classical geometric …
(Α, Β)-Normal Differential Operators For First Order In Hilbert Spaces Of Vector-Functions,
2025
TÜBİTAK
(Α, Β)-Normal Differential Operators For First Order In Hilbert Spaces Of Vector-Functions, Zameddin I. Ismailov, Pembe İpek Al
Turkish Journal of Mathematics
In this article, the relationships between (α, β)-normality properties of the extensions of the minimal operator generated by the first-order differential operator expression in the Hilbert spaces of vector-functions in a finite interval and the variable operator coefficients of this differential operator expression are investigated. Then, the general form of all (α, β)-normal extensions of the minimal operator in these spaces is determined under the constraints obtained for the coefficient operators.
Applications Of A New Linear Operator Involving Dziok-Srivastava Operator And Bessel Function Of The First Kind,
2025
Department of Mathematics and Computer Science, University of Oradea, 1,Universitatii str., 410087 Oradea, Romania
Applications Of A New Linear Operator Involving Dziok-Srivastava Operator And Bessel Function Of The First Kind, Daniela Andrada Bardac-Vlada, Georgia Irina Oros
Turkish Journal of Mathematics
This study introduces a new linear operator constructed from the well-known Dziok–Srivastava linear hypergeometric operator, the Bessel function of the first kind, and convolution. Applying the new operator, a class of functions with positive real part is defined and investigated concerning inclusion relations, the necessary and sufficient conditions for functions to belong to this class, as well as starlikeness and convexity conditions. The properties of the new class to be convex of a certain order, close-to-convex and starlike of a certain order are highlighted and examples are also included to prove that the new outcome is applicable. The methods employed …
On Certain Subclasses Of Starlike And Convex Functions With Respect To T-Symmetric Points,
2025
TÜBİTAK
On Certain Subclasses Of Starlike And Convex Functions With Respect To T-Symmetric Points, Osman Altintaş, Ni̇zami̇ Mustafa
Turkish Journal of Mathematics
In this study, we defined for the first time a new subclass of stalike and convex functions in the open unit disk of the complex plane and we examined coefficiend upper bound estimates for this class.
On Multiplicative Order Convergence And Multiplicative Order Continuous Operators,
2025
TÜBİTAK
On Multiplicative Order Convergence And Multiplicative Order Continuous Operators, Hüma Gürkök, Bahri̇ Turan
Turkish Journal of Mathematics
Let A and B be two f-algebras. This paper establishes the theoretical framework for multiplicative order convergence, clarifying its definition, properties, and relations to other convergence types. This includes a detailed discussion on the conditions under which multiplicative order convergence and order convergence, as well as unbounded order convergence, mutually imply each other. We establish an extension theorem for multiplicative order continuous operators, similar to Veksler’s theorem for order continuous operators. As a result of this theorem, we derive the order structure of the space of multiplicative order continuous operators. We show that the space Lmo(A, …
Majorization Properties For Analytic Functions With Positive Real Part,
2025
Tekirdağ Namık Kemal University
Majorization Properties For Analytic Functions With Positive Real Part, Oya Mert
Turkish Journal of Mathematics
The majorization feature is important when investigating analytical functions’ geometric properties. The present work focuses on the majorization property for a general Ma-Minda type function class S*φ(γ, λ) of starlike functions of complex order, which is described with the Ruscheweyh differential operator. In the context of the main theorem, consequences are presented for various special functions φ having a positive real part. Furthermore, the Ruscheweyh differential operator extends a representation formula and investigates an upper-bound formula. Examples of upper bounds for analytic functions are also presented.
