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Math Success Center Achieves Level One Certification, Lindenwood University

Archived Lindenwood Press Releases

No abstract provided.

Brain Tumor Segmentation Based On Convolutional Neural Network And Integration Of Deep And Shallow Features, Rula Sami Aleesa

Baghdad Science Journal

Segmentation of Brain tumors refers to one of the most challenging problems in analyzing a medical image. To establish accurate brain tumor region delineation, brain tumor segmentation is used. Feature extraction refers to one of the basic steps in the processing of an image that aids classification. Various features’ kinds are extracted from MRI images. The traditional classifiers of Machine learning need hand-crafted features that are time-consuming and susceptible to errors made by humans. Against this, Deep learning is too powerful in terms of feature extraction and has already been extensively applied for the aims of classification. The presented technique …

G-Topological Groupoids, Osman Mucuk

Turkish Journal of Mathematics

In the groupoid theory, it is unclear that a topological groupoid's quotient groupoid with the quotient topology is topological.  In this paper, we approach this problem considering  G-methods and G-convergence. We define  G-topological groupoid, which agrees with the sequential version of a topological groupoid in the particular case G=lim, and give some counterexamples. Then, we extend the usual properties of topological groupoids to the G-topological groupoids. We also prove that a G-topological groupoid's quotient groupoid is  G-topological groupoid when a normal subgroupoid is suitably chosen. This result enables us to obtain examples of topological quotient groupoids in a particular case.

The Variation Of Eigenvalues Of The Two-Dimensional Magnetic Schrödinger Operator With Respect To The Angle Of A Flat Sector, Araz R. Aliev, Elshad H. Eyvazov

Turkish Journal of Mathematics

A two-dimensional Schrödinger operator with a spherically symmetric electric potential and an Aharonov Bohm magnetic field in a circular sector under Neumann boundary conditions is considered. The intervals of the angular variation of the flat region are found, where the eigenvalues of the Neumann problem for the Schrödinger operator with a spherically symmetric electric potential strictly decrease monotonically in the Aharonov-Bohm magnetic field.

Further Geometric Properties Of The Generalized K-Bessel Functions, Merve Görgülü, İbrahi̇m Aktaş

Turkish Journal of Mathematics

This study investigates certain geometric properties of the normalized k-Bessel function, which is a natural generalization of classical and modified Bessel functions of the first kind. These geometric properties include η-starlikeness, η-uniform convexity, starlikeness associated with exponential function and Bernoulli’s lemniscate, and convexity associated with exponential function and Bernoulli’s lemniscate. Moreover, certain corollaries related to classical and modified Bessel functions are presented by specialising parameters. In addition, some examples and their graphical representations are provided to support the findings of this study.

The Incorporation Of Ai-Enabled Culturally Relevant Narrative-Based Learning Pedagogy To Engage Students In A Diverse Stem Classroom, Nitin U. Jain, Eliza G. Braden

Faculty Publications

This study explores how AI-enabled, culturally relevant, narrative-based learning pedagogy influences engagement among ninth-grade students in an Earth Science course. Conducted in two classrooms in a southeastern U.S. school predominantly attended by African American and Latinx students, we developed lesson plans on Earth Systems and Climate Change. Using a qualitative case study design, we examined one educator's implementation of AI-enhanced lessons. Thematic analysis of exit surveys and students' artifacts revealed that narrative-based learning significantly increased students' desire, engagement, and confidence in scientific concepts compared to conventional methods. This approach allowed students to integrate local and global knowledge, fostering deep questions …

Some Methods For Finding The Number Of Partitions Of N With M−Parts, P(N, M), Yusuf Soyvural, Ali̇ Bülent Eki̇n

Turkish Journal of Mathematics

P(n, m) denotes the number of partitions of n with m parts, while P_m(n) denotes the number of partitions of n with parts at most m. It is a well-known result that the number of partitions of n ≥ 0 into m or fewer parts is equal to P_m(n). In the literature, there are some results for P(n, m) and P_m(n) for some values of m. In this work, we give more compact results for P(n …

On Almost Kenmotsu Manifolds Admitting Nearly Vacuum Static Equations With Applications, Uday Chand De, Krishnendu De, Sudhakar Kumar Chaubey

Turkish Journal of Mathematics

In this article, we study certain characteristics of nearly vacuum static equations on almost Kenmotsu manifolds. It is established that an η-Einstein almost Kenmotsu manifold allowing nearly vacuum static equations is of constant scalar curvature and either the solution is trivial or, the manifold reduces to an Einstein manifold. Next,  nearly vacuum static equations on (κ,μ)-almost Kenmotsu manifolds and generalized (κ,μ)'-nullity distribution are considered and we obtain several interesting results. Moreover, we illustrate that if a 3-dimensional Kenmotsu manifold allows nearly vacuum static equations, then the manifold is locally isometric to the hyperbolic space Η3(-1). After that, we investigate a …

Cover And Contents

Turkish Journal of Mathematics

No abstract provided.

Fubini Collocation Method For Numerical Solutions Of Differential Equations With Quadratic And Cubic Nonlinearities, Kübra Erdem Bi̇çer, Havva Türkhan

Turkish Journal of Mathematics

In this study, the Fubini collocation method is proposed for the approximate solution of nonlinear differential equations. The method utilizes fundamental relations involving Fubini polynomials and their derivatives, employing collocation points to enhance solution accuracy. Within this framework, the given differential equation is transformed into a system of nonlinear algebraic equations involving the unknown coefficients of the approximate solution. This resulting system is then solved using appropriate numerical techniques to obtain the approximate solution. The effectiveness of the proposed method is demonstrated through several test problems, with accuracy evaluated using absolute error functions. Furthermore, illustrative examples and residual-based error analysis …

The Derivative Of Spectral Function Of The Problem With The Boundary Condition Dependent On Spectral Parameter, Eli̇f Başkaya, Haskiz Coşkun

Turkish Journal of Mathematics

In this study, the computation of the derivative of the spectral function for Sturm-Liouville problem with eigenvalue dependent boundary condition at the finite left end is considered.

Distributed Model Predictive Control-Based Power Management Scheme For Grid-Integrated Microgrids, Sergio Escareno, Sijo Augustine, Liang Sun, Sathishkumar J. Ranade, Olga Lavrava, Enrico Pontelli, John Hedengren

Faculty Publications

Transitioning from traditional electrical grids to smart grids is currently an ongoing process that many nations are striving for due to their access to renewable resources. Energy management is one of the key parameters that decides the performance of such complex systems. Distributed Model Predictive Control (DMPC) is a promising technique that can be used to improve the energy management of grid-connected systems. This paper analyzes a grid-connected inverter system with DMPC that exchanges key operating parameters with the grid to optimize coordinated power sharing between its respective loads. The state-space model for the inverter is derived and verified to …

Representation Of Inverse Ordered Semigroups By Means Of Symmetric Inverse Semigroups On A Set, Michael Tsingelis

Turkish Journal of Mathematics

A partial one-to-one mapping on a set X is a mapping whose domain is a subset of X. The set of partial one-one mappings on a set X is an inverse semigroup (the symmetric inverse semigroup on X). An element x of an ordered semigroup (S, ·, ≤) is called an inverse element of α ∈ S if α ≤ xαx and x ≤ xαx. An inverse ordered semigroup is an ordered semigroup S for which every element of S possesses an inverse element and the inverse elements of any element of S are in …

Applications For The Quasi-Atomic Orbital And Constrained Density Functional Theory Methods On Catalytic Reactions, Alvaro David Loaiza Orduz

LSU Doctoral Dissertations

Selective activation of C–O, C–H, and C–C bonds underpins biomass upgrading, alkane functionalization, and CO₂ conversion. Despite their importance, the electronic factors governing catalytic performance remain incompletely understood, and many industrial processes still rely on empirical trends or material-specific observations. This dissertation addresses this gap by applying density functional theory (DFT), thermodynamic decomposition, and electronic-structure analysis to identify unifying principles of reactivity across transition-metal phosphides, vanadate oxides, copper-based electrocatalysts, and mixed IrO₂–RuO₂ layers. This work examines how charge transfer, orbital localization, and ligand-induced perturbations control reaction pathways in diverse catalytic systems. C–O bond scission in 2-methyltetrahydrofuran (MTHF) and methanol was …

Cospectrality Results For Signed Graphs With Two Eigenvalues Unequal To ±1, Willem H. Haemers, Hati̇ce Topcu

Turkish Journal of Mathematics

Recently the collection G of all signed graphs for which the adjacency matrix has all but at most two eigenvalues equal to ±1 has been determined. Here we investigate G for cospectral pairs, and for signed graphs determined by their spectrum (up to switching). If the order is at most 20, the outcome is presented in a clear table. If the spectrum is symmetric we find all signed graphs in G determined by their spectrum, and we obtain all signed graphs cospectral with the bipartite double of the complete graph. In addition we determine all signed graphs cospectral with the …

A248: A Dual-Path Mechanism Study Of Internalization Of Track And Field Hurdling Skills In Vr, Ke Wang

International Journal of Physical Activity and Health

Athletic hurdles, as a high-complexity perceptual-motor task, relies on the deep synergy between perceptual and motor systems for skill internalization. Traditional training methods have limitations in motor skill feedback, and virtual reality technology provides a new paradigm for perceptual-motor fitness research through multimodal interaction. However, the dynamic mechanism of the perceptual-action dual pathway (epiphenomenal cognitive pathway and implicit automation pathway) on the internalization of hurdling skills in VR environments has not yet been clarified, which hinders the precise optimization of VR training systems. This study aims to break through the venue limitation, reduce the learning risk of high-risk maneuvers, and …

A273: Coupling Dilemmas And Strategies Of Physical And Health Education In Chinese Schools Under Physical-Medical Integration, Wei Zhong, Youliang Xu, Wen Xiong, Zijun Yan

International Journal of Physical Activity and Health

"Physical-Medical Integration" combines sports science and medical disease prevention, supporting the "Healthy China 2030" strategy. Health education, originating from medicine, is vital for promoting youth health knowledge and is key to integrating with school sports. This study examines the challenges and solutions of combining school sports and health education under this integration. The study uses literature review, mathematical analysis, and logical reasoning. Core journal papers from databases like CNKI, Wanfang, and VIP were analyzed using keywords like "Physical-Medical Integration," "Health Education," and "School Sports" (2000-2025). CiteSpace is used for keyword clustering to support challenge diagnosis. The study also compares policy …

A277: Nanchang’S Adolescents Community Sports Under The "Double Reduction" Policy: Current Situation And Countermeasures, Xin Yu

International Journal of Physical Activity and Health

Recently, the "Double Reduction" policy has been introduced by the Central Committee of the Communist Party of China and the State Council. It has not only provided strong policy support for the promotion of sports and health for the whole society but also provided a "safety net" for the healthy development of children and adolescents. To some extent, it has curbed the continuous decline in the physical health of adolescents in China. However, the biggest weakness in the healthy growth of adolescents lies in the community， where there is often a lack of sufficient sports facilities and organized activities. Therefore, …

A266: A Study On The Health Promotion Mechanisms And Practical Paths Of Traditional Lion Dance Sports, Jiahao Leng, Jingshuo Wang

International Journal of Physical Activity and Health

As a living cultural heritage of Chinese traditional sports, lion dance combines physical exercise, cultural heritage, and social cohesion. Although its health value is widely recognized in folk practices, there is a lack of systematic and theoretical mechanism analysis in academia. This study aims to reveal the promotion mechanism of lion dance sport on individual physical and mental health and social adaptation through multi-dimensional analysis, and to propose its practical path in modern health governance. The literature method was used to systematically sort out the relevant literature during the period of 2006-2025 and establish a theoretical analysis framework. The expert …

A289: Challenges And Strategies For Pe Teachers In The Ai Era, Xiaoli Huang

International Journal of Physical Activity and Health

In the era of artificial intelligence (AI), physical education (PE) teachers face unprecedented challenges in integrating advanced technologies into their teaching practices. This study aims to identify the specific challenges PE teachers encounter in the AI era and propose practical strategies to enhance the quality and relevance of school-based physical education. This study employed a multi-method approach, including literature review, mathematical statistics, questionnaire surveys, and expert interviews. The participants were 120 PE teachers from urban and rural schools across different regions. The study began with a literature review to establish a theoretical foundation. Questionnaires were used to gather teachers' perceptions …

A037: Necessity Of Moderate Exercise For High School Girls During Menstruation, Meng Zheng

International Journal of Physical Activity and Health

To challenge the traditional belief that girls should not exercise during their menstrual period, this study aims to propose appropriate ways for high school girls to engage in sports during menstruation, enhance their overall health, and foster good exercise habits and a correct sports concept. Method: The literature method was employed, utilizing databases such as China Knowledge Network, Google Scholar, and Wanfang to search for relevant studies using keywords like “girls”, “physical exercise”, “sports participation”, and “physical activity”. This helped understand the current research status. Books were also consulted to provide analytical methods and theoretical foundations. The questionnaire method investigated …

A050: Research On Digital Empowerment Of Mass Sports Life Within The Context Of National Fitness, Yuanchao Li, Yifeng Li

International Journal of Physical Activity and Health

This study commences with a focus on national fitness, conducting an in-depth analysis of the conceptual significance of digital technology and the widespread implementation of mass sports. It elucidates their current developmental status and scrutinizes the practical challenges impeding the digitization of mass sports. Using digital technology as a springboard, this paper investigates the optimal trajectory for the advancement of digitized mass sports, with the aim of fostering superior development in this field. Methodology: This study examines the digital empowerment of mass sports within the framework of national fitness for all. Utilizing research methodologies such as expert interviews, mathematical statistics, …

A057: Research On High-Quality Development Path Of Sports Tourism Boutique Projects In The Yellow River Basin, Yan Wang, Jinsheng Liu

International Journal of Physical Activity and Health

Background/Purposes: The boutique sports tourism initiative in the Yellow River Basin constitutes a comprehensive regional development strategy that integrates competitive events, scenic attractions, and travel itineraries across nine provincial administrations. The study aims to reveal the spatial distribution characteristics and explore the path of high-quality development of sports tourism boutique projects in the Yellow River Basin. (1) Through using the methods of mathematical statistics, 129 projects were selected for analysis, categorized under “scenic spot”, “line”, “event”, and “destination” of sports tourism boutique projects. The data sourced from the “China Sports Tourism Boutique Project” announced by the State Sports General Administration, …

A061: Analysis Of The Current Situation Of Table Tennis Players' Burnout, Rongqing Yu

International Journal of Physical Activity and Health

Burnout is a significant issue among athletes, especially those undergoing high-intensity training and facing competitive pressures. Table tennis players, due to the demands of their sport, are particularly vulnerable. Burnout can impair performance, mental health, and lead to training interruptions or early career termination. This study investigates the prevalence of burnout among table tennis players, examining differences based on gender, age, sports grade, and training duration, to inform targeted interventions. Method: The study utilized a comprehensive approach to data collection and analysis. Firstly, a literature review was conducted to establish a theoretical framework for understanding athlete burnout. Subsequently, a questionnaire …

A210: The Influence Of Applications Of Digital Technology On The Effect Of Competitive Aerobics Training, Guangqi Yang, Fuzhou Zhang, Jiawen Ding

International Journal of Physical Activity and Health

In recent years, with the development of information technology, the application of digital means in the field of sports has become increasingly extensive and deep. Competitive aerobics, as a traditional advantage project in the high-level university sports team, the innovation of its training methods is of great significance for improving athletic performance. However, the traditional training methods still have problems, such as inefficient and insufficient pertinence, which makes it difficult to meet the needs of modern training. Therefore, this paper designs the training method of university competitive aerobics from a digital background, obtains a scientific training strategy of university competitive …

Methods For Radiation-Sparing Navigation In Endovascular And Spine Surgery, William Ross Warner

Dartmouth College Ph.D Dissertations

Modern surgical navigation systems improve procedural accuracy, limit complications, and can reduce reliance on intraoperative ionizing radiation, yet their adoption remains uneven across surgical domains. Informed by clinical immersion, this thesis identifies and addresses two unmet needs revealed through contrasting image-guidance practices in endovascular and spine surgery, where existing guidance techniques are costly, intermittent, or fundamentally limited. Specifically, these needs include (1) the absence of radiation-sparing navigation techniques for endovascular procedures, which rely heavily on 2D x-ray angiography, and (2) the need for dynamic registration methods in open spine surgery, where navigation accuracy can degrade after initial registration and intraoperative …

Protocol For The Development Of The Who Gestational Weight Gain Charts, Thais Rangel Bousquet Carrilho, Olufemi Taiwo Oladapo, Jennifer A. Hutcheon, Giovanna Gatica-Domínquez, Kathleen M. Rasmussen, Monica C. Flores-Urrutia, Richard Kumapley, Ӧzge Tunçalp, Dang Bahya-Batinda, Amel A. Fayed, Annick Bogaerts, Aris T. Papageorghiou, Cinthya Muñoz-Manrique, Dayana Rodrigues Farias, Eric Ohuma, Harshpal Sachdev, Hayfaa A. Wahabi, Helena J. Teede, Molin Wang, Nandita Perumal Phd

Faculty Publications

Introduction Gestational weight gain (GWG) is an important indicator of maternal nutrition to be monitored during pregnancy. However, there is no evidence-based tool that can be used to monitor it across all geographic locations and pre-pregnancy body mass index (BMI) categories. The WHO is undertaking a project to develop GWG charts by pre-pregnancy BMI category, and to identify GWG ranges associated with the lowest risks of adverse maternal and infant outcomes. This protocol describes all the steps that will be used to accomplish the development of these GWG charts.

Methods and analysis This project will involve the analysis of individual …

Design Of Nanomaterial-Based Sensors For Enhanced Halogen Bonding, Ben H. Edelman, Charles W. Sheppard, Lucas A. Chuidian, Arielle Vinnikov, Felix Bevc, Lillian B. Hughes, Carol A. Parish, Michael C. Leopold

Chemistry Faculty Publications

Halogen bonding is a highly directional, noncovalent, intermolecular interaction which has been harnessed for a variety of applications, including sensor design. A halogen bond (XB) is formed between a region of positive electrostatic potential on a halogen atom (X) and electron rich portions of target molecules. The strength of XB interactions relies on shorter XB bond distances and more linear R–X···B bond angles, which facilitate stronger, more negative binding energies. While prior studies have sought to maximize interactions, few have explored or experimentally demonstrated how geometries and bond angles can enhance XB interactions. Herein, fundamental studies are conducted at self-assembled …

Volumetric Wear Analysis Of Polyethylene Orthopedic Liners Using Point Clouds, Gabriel Landi

Dartmouth College Master’s Theses

In vivo wear of ultra-high molecular weight polyethylene (UHMWPE) orthopedic bearings represents a major problem in shoulder and knee arthroplasty, with significant amounts of devices failing due to the complication itself, and even more due to associated reasons for retrieval, including aseptic loosening. However, quantification of UHMWPE wear has largely been limited to linear and in vitro volumetric analyses, obscuring the understanding of the amount of clinically relevant material loss. This study proposes new methods to measure articular, rim, and backside surfaces of retrieved shoulder and knee UHMWPE liners, centered around the coordinate measuring machine (CMM)-based collection of high density …

Codazzi Normalized Null Hypersurfaces, Théophile Kemajou Mbiakop, Cyriaque Atindogbe, Ferdinand Ngakeu

Turkish Journal of Mathematics

We introduce a class of null hypersurfaces of Lorentzian manifolds, namely Codazzi normalized null hyper surfaces, whose (screen) shape operator associated with the rigged vector field is a Codazzi tensor. Several examples are given to support our study. Moreover, we investigate conditions implying that the induced Riemannian screen structure on a Codazzi-type normalized null hypersurface of a Lorentzian space is locally a nontrivial warped product.