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Cipropad Learning Model To Improve Elementary School Students’ Hots In Geometry, Ria J. Salman, Heris Hendriana, Masta Hutajulu Jul 2026

Cipropad Learning Model To Improve Elementary School Students’ Hots In Geometry, Ria J. Salman, Heris Hendriana, Masta Hutajulu

Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan

The latest digital technology developments demand innovative learning models that are able to integrate active learning approaches, problem-solving, and digital collaborative platforms. This study aims to develop a CIPROPAD (Circuit Learning, Problem-Based-Learning, Padlet) learning model designed to improve students' HOTS. This study uses the Borg and Gall R&D method which includes the stages of needs analysis, model design, initial product development, expert validation, limited trials, revisions, and field trials. The research subjects consisted of 74 elementary school students divided into experimental and control groups. The research instruments used included expert validation sheets, HOTS tests, student activity observation sheets, and student …


Three-Dimensional Surgical Orthodontic Management Of Pruzansky Iia Craniofacial Microsomia With Severe Facial Asymmetry And Obstructive Sleep Apnea, Hung-Wen Chiu, Cheng-Hui Lin, Yi-Hsuan Carol Chen Jul 2026

Three-Dimensional Surgical Orthodontic Management Of Pruzansky Iia Craniofacial Microsomia With Severe Facial Asymmetry And Obstructive Sleep Apnea, Hung-Wen Chiu, Cheng-Hui Lin, Yi-Hsuan Carol Chen

Taiwanese Journal of Orthodontics

Background: Craniofacial microsomia (CFM) is the second most common craniofacial anomaly with asymmetrical, congenital malformation. Treatment is challenging and requires interdisciplinary cooperation to restore function and facial esthetics. Objective: A CFM patient suffered from facial asymmetry, occlusal plane cant, malocclusion and severe obstructive sleep apnea, and a 3D surgical orthodontic treatment was planned. Case report: A 37-year-old male patient complained of small chin with deviation. Craniofacial microsomia grade IIa by Pruzansky system and S2A1T1 by SAT system was diagnosed. Clinical examination showed severe facial asymmetry, right microtia, chin deviation to right side 7.0 mm, occlusal plane cant, right Class …


Management Of Skeletal Class Iii Malocclusion With Deep Bite And Moderate Overjet Using Improved Super-Elastic Ti-Ni Alloy Wire (Isw), Wen-Hsuan Lin, Ching-Yu Yang, Yuan-Hou Chen, Jian-Hong Yu Jul 2026

Management Of Skeletal Class Iii Malocclusion With Deep Bite And Moderate Overjet Using Improved Super-Elastic Ti-Ni Alloy Wire (Isw), Wen-Hsuan Lin, Ching-Yu Yang, Yuan-Hou Chen, Jian-Hong Yu

Taiwanese Journal of Orthodontics

A 20-year-old female presented with concerns about poor dental alignment and a tendency to bite on her lip easily. Clinical examination revealed a concave and brachy facial profile, accompanied by a deep overbite and a moderate overjet. Radiographic examination showed skeletal Class III with a low mandibular plane angle. Correction of the deep bite was achieved by using the Improved Super-elastic Ti-Ni alloy Wire (ISW) and Intermaxillary elastics (IMEs). To correct the moderate overjet, interproximal reduction (IPR), the Multi-bend Edgewise Archwire (MEAW) technique, and arch lengthening of the lower arch were applied. The active treatment duration took approximately 54 months, …


Improved Super-Elastic Ti-Ni Alloy Wire For The Treatment Of Skeletal Class Iii Malocclusion With Anterior Crossbite And Missing Lower Molar, De-Lun Zhuang, Yuan-Hou Chen, Jian-Hong Yu Jul 2026

Improved Super-Elastic Ti-Ni Alloy Wire For The Treatment Of Skeletal Class Iii Malocclusion With Anterior Crossbite And Missing Lower Molar, De-Lun Zhuang, Yuan-Hou Chen, Jian-Hong Yu

Taiwanese Journal of Orthodontics

This case report describes the use of Improved Super-elastic Ti-Ni alloy wire (ISW), developed by Tokyo Medical and Dental University, in managing a skeletal Class III malocclusion with anterior crossbite and a missing lower molar. A 26-year-old female presented with a chief complaint of poor dental alignment. Clinical and radiographic evaluation revealed Angle Class III malocclusion, anterior crossbite, a missing mandibular first molar (36), and a centric occlusion–centric relation (CO–CR) functional shift, consistent with a skeletal Class III pattern. Treatment involved the use of ISW for leveling and alignment of both arches and correction of the anterior crossbite, while maintaining …


Inferior Alveolar Nerve Proximity In Mandibular Molar Distalization: Implications For Orthodontic Treatment Planning, Samantha Hsien-Chu Mao, Chia-Hsuan Chan, Yu-Jen Chang, Shiu-Shiung Lin, Chen-Feng Cheng, Te-Ju Wu Jul 2026

Inferior Alveolar Nerve Proximity In Mandibular Molar Distalization: Implications For Orthodontic Treatment Planning, Samantha Hsien-Chu Mao, Chia-Hsuan Chan, Yu-Jen Chang, Shiu-Shiung Lin, Chen-Feng Cheng, Te-Ju Wu

Taiwanese Journal of Orthodontics

Purpose: This study aimed to clarify the anatomical boundaries of mandibular molar distalization, emphasizing the risk of inferior alveolar nerve (IAN) contact. Patients and Methods: In total, 30 skeletal Class III patients undergoing orthognathic surgery (59 mandibular hemi-arches) were analyzed using pretreatment three-dimensional (3D) computed tomography scans. The shortest horizontal distance between the mandibular second molar and the inferior alveolar canal (M2-IAC) was measured at multiple depths below the cementoenamel junction, along with the distance to the lingual cortical plate (M2-MLC). Samples were categorized by vertical facial pattern (low-, normal-, and high-angle case). Simulated distalization cases predicting IAN contact were …


Comparative Evaluation Of Selected Properties Of Tetrahedral Amorphous Carbon (Ta-C) Coated And Uncoated Beta Titanium (Β-Ti) Archwires - An In Vitro Study, Abhinaya Jotheswaran, Kurunji Kumaran Navaneethakrishnan Jul 2026

Comparative Evaluation Of Selected Properties Of Tetrahedral Amorphous Carbon (Ta-C) Coated And Uncoated Beta Titanium (Β-Ti) Archwires - An In Vitro Study, Abhinaya Jotheswaran, Kurunji Kumaran Navaneethakrishnan

Taiwanese Journal of Orthodontics

Objective: The development of newer archwires can be achieved either by discovering novel materials or by modifying existing ones. The objective of the present study was to coat beta-titanium (β-Ti) archwires with tetrahedral amorphous carbon (ta-C)/hard carbon and to evaluate selected physical and mechanical properties. Methods: Hard carbon–coated (n = 5) and uncoated (n = 5) β-Ti wires were assessed for surface roughness, wear resistance, load-deflection characteristics, and friction using appropriate testing apparatus under dry in vitro conditions. Results: Compared to uncoated β-Ti wires, ta-C–coated β-Ti wires demonstrated a statistically significant reduction in surface roughness, increased wear resistance, and lower …


The Significance Of Medical Terminology In The Arabic 111 Course At King Saud Bin Abdulaziz University For Health Sciences (Ksau-Hs): An Analytical Pragmatic Study, Nuwair Abdullah Khalaf Al-Anzi Jul 2026

The Significance Of Medical Terminology In The Arabic 111 Course At King Saud Bin Abdulaziz University For Health Sciences (Ksau-Hs): An Analytical Pragmatic Study, Nuwair Abdullah Khalaf Al-Anzi

UB Journal for Humanities

Medical terminology in the “Arab 111” curriculum varies in its use within the educational context, which may affect students’ comprehension and understanding. Therefore, this study seeks to examine the suitability of these terms from a pragmatic perspective and their relationship to the effectiveness of scientific communication. Medical terminology possesses multiple contextual dimensions and is not confined solely to the scientific context among physicians, patients, and society. Pragmatics thus focuses on the way these terms are employed in everyday communication, since their circulation requires simplification to suit non-specialists. Moreover, misunderstanding medical terminology may lead to errors in diagnosis or treatment, making …


A Holistic Perspective On (In)Formal English Learning Through Mobile Apps, Gamification, And Virtual And Augmented Reality, Ahmed Abdullah Ahmed Alshehri Jul 2026

A Holistic Perspective On (In)Formal English Learning Through Mobile Apps, Gamification, And Virtual And Augmented Reality, Ahmed Abdullah Ahmed Alshehri

UB Journal for Humanities

Using digital tools such as Computer-Assisted Language Learning (CALL), Mobile-Assisted Language Learning (MALL), Virtual Reality (VR), Augmented Reality (AR), and gamification has remodeled language learning. Despite their advances and integration into language programs, gaps remain in personalization, accessibility, and skill development. This study aims to explore the impact of such tools on language learning outcomes in formal and informal settings, with a focus on mobile Apps, VR/AR, and gamification. A mixed-method approach was employed, interconnecting quantitative surveys with 150 participants and qualitative interviews. The former was used to assess tool usage, motivation, and proficiency, and the latter (qualitative data dealt …


Profiling Students’ Academic Language Readiness For English‑Medium Instruction In Saudi Higher Education, Hanan Sarhan Alsubaiai Jul 2026

Profiling Students’ Academic Language Readiness For English‑Medium Instruction In Saudi Higher Education, Hanan Sarhan Alsubaiai

UB Journal for Humanities

Saudi universities have been rolling out English‑Medium Instruction (EMI) at a fast pace. But no standardized and validated instrument currently exists to assess students’ readiness. The present study developed the Academic Language Readiness Test (ALRT), administered it to undergraduate students, and determined the score cut-offs distinguishing those who are Ready, Borderline, and those who are Not Ready. A crosssectional, multisite quantitative design was employed with 712 undergraduate students from seven colleges at Bisha University. The ALRT measured four subskills: academic listening, academic reading, academic vocabulary and grammar, and academic study skills (notetaking and visual data interpretation). Psychometric analysis combined Classical …


The Role Of E-Commerce Platforms In Increasing Donations For Charitable Organizations: A Case Study Of Bani Yazid Charitable Society For Holy Quran Memorization (2017–2025), Abdulrhman Mohmmad Said Alamoudi, Abdulrahman Ahmad M. Waly, Mohammed Salman S. Alyazidi, Saad Mohammed A. Alqarni, Atiah Saad A. Alghamdi Jul 2026

The Role Of E-Commerce Platforms In Increasing Donations For Charitable Organizations: A Case Study Of Bani Yazid Charitable Society For Holy Quran Memorization (2017–2025), Abdulrhman Mohmmad Said Alamoudi, Abdulrahman Ahmad M. Waly, Mohammed Salman S. Alyazidi, Saad Mohammed A. Alqarni, Atiah Saad A. Alghamdi

UB Journal for Humanities

This study aims to analyze the role of electronic stores in increasing donations and developing financial resources for charitable organizations, using the Charitable Society for the Memorization of the Holy Quran in Bani Yazid as a case study during the period 2017–2025. The study employed a descriptive-analytical approach alongside quantitative methods to analyze financial data, and relied for data collection on semi-structured interviews with the society’s key officials, as well as on the analysis of financial records, performance reports, and e-store data. Time series analysis, T-test procedures, and simple linear regression were used to measure the impact of activating the …


The Right To Worker’S Wages: A Comparative Study Between Saudi Labor Law And International Conventions In Light Of Islam, Anwar Bin Ali Al-Asiri Jul 2026

The Right To Worker’S Wages: A Comparative Study Between Saudi Labor Law And International Conventions In Light Of Islam, Anwar Bin Ali Al-Asiri

UB Journal for Humanities

This study addresses one of the fundamental rights of workers — the right to wages, which represents a cornerstone of the employment contract. This right has received significant attention and protection under Islamic law, as well as at the international level, where the International Labour Organization (ILO) has long worked through conventions and conferences to safeguard workers’ wage rights. It has also been emphasized by various governments in their legal systems, most notably the Kingdom of Saudi Arabia, which issued its Labor Law to ensure the protection of workers’ wages. This study highlights the legal dimension of this system in …


How Rude?: Prohibitions On Insults And Abuse In International Human Rights Complaint Proceedings, Lisa Reinsberg Jul 2026

How Rude?: Prohibitions On Insults And Abuse In International Human Rights Complaint Proceedings, Lisa Reinsberg

Northwestern Journal of Human Rights

May international human rights mechanisms close their doors to individuals who insult their members or Member States? Several do so, but the basis, scope, and impact of such rejections remain mostly unexamined. This article maps the relevant practices of regional and United Nations human rights bodies and compares them to other courts’ responses to contempt of court or vexatious litigation, to understand whether this admissibility criterion is a proper application of the prohibition on abuse of the right of petition or a legitimate exercise of a human rights body’s inherent powers. Three approaches emerge: ignore, balance, and punish. While the …


Overcoming Igf1r-Mediated Resistance To Oncolytic Hsv1 And Radiotherapy Via Triple Combination Therapy, Alexandra A Miller, Min-Hye Noh, Jin Muk Kang, Jiyeon Kim, Lily Nguyen, Amanda S Kouaho, Grace Nguyen, Minxin Huang, Stephanie M Bean, Joshua Davis, Matthew P Mullarkey, Sunil Krishnan, Zhongming Zhao, E Antonio Chiocca, Tae Jin Lee, Ji Young Yoo Jul 2026

Overcoming Igf1r-Mediated Resistance To Oncolytic Hsv1 And Radiotherapy Via Triple Combination Therapy, Alexandra A Miller, Min-Hye Noh, Jin Muk Kang, Jiyeon Kim, Lily Nguyen, Amanda S Kouaho, Grace Nguyen, Minxin Huang, Stephanie M Bean, Joshua Davis, Matthew P Mullarkey, Sunil Krishnan, Zhongming Zhao, E Antonio Chiocca, Tae Jin Lee, Ji Young Yoo

The Brown Foundation: Institute of Molecular Medicine

FDA-approved oncolytic herpes simplex virus-1 (oHSV) therapy has emerged as a promising viro-immunotherapy for solid tumors. However, tumor- and tumor microenvironment (TME)-associated adaptations following viral treatment, such as feedback immune suppression, neoangiogenesis, and enhanced tumor aggressiveness, often hinder complete tumor eradication. A deeper understanding of the molecular mechanisms underlying resistance to oHSV is crucial to enhancing its clinical impact. We recently discovered that oHSV induces Insulin-like growth factor 2 (IGF2) secretion, shaping an immunosuppressive TME. Similarly, radiotherapy (RTx) activates the IGF1/IGF1R and YAP1 signaling pathways, further promoting therapeutic resistance. In this study, we investigated how oHSV-induced Insulin-like growth factor 1 …


Blended Learning Development In Mongolian K-12 Education: A Systematic Review And Psychometric Study Of Teacher Readiness, Batbold Bukhchuluun Jul 2026

Blended Learning Development In Mongolian K-12 Education: A Systematic Review And Psychometric Study Of Teacher Readiness, Batbold Bukhchuluun

Theses and Dissertations

This dissertation examines blended learning (BL) in Asian K-12 education through a systematic review and an empirical validation study in Mongolia. The first study reviews peer-reviewed K-12 BL research published between 2000 and 2024 using PRISMA procedures. We analyzed 42 studies to identify publication trends, geographic representation, BL model adoption, articulation of physical and pedagogical design layers, implementation challenges, and reported outcomes. Findings indicate that BL research is concentrated in a limited number of countries, frequently employs flipped learning models, and often lacks detailed pedagogical specification. Common challenges include infrastructure limitations, teacher preparedness, and institutional support. The second study adapts …


Comparison Of Methods For Defatted Human Milk And Nutrient Composition: An Experimental Study, Kristin Cheng, Gina O'Toole, Stephanie Chang, Richard Chang, John Miklavcic Jul 2026

Comparison Of Methods For Defatted Human Milk And Nutrient Composition: An Experimental Study, Kristin Cheng, Gina O'Toole, Stephanie Chang, Richard Chang, John Miklavcic

Food Science Faculty Articles and Research

Background

Human milk is considered the gold standard for infant nutrition; however, it is often discontinued in chylothorax and severe very long-chain acyl-CoA dehydrogenase (VLCAD) deficiency. As an alternative to complete human milk restriction, defatted human milk may be fed, though it may not fully support optimal infant growth and development. This study aimed to assess the micronutrient profile of defatted human milk.

Methods

Human milk was obtained from UCSD Human Milk Research Biorepository (San Diego, CA). Thirty samples representing 10 independent expressions in the morning, afternoon, and evening were pooled for analysis. Fat removal was performed by centrifugation at …


Bull’S-Eye On Borrelia: A Commensal And Consequential Pathogen, Alan L. Gillen Jul 2026

Bull’S-Eye On Borrelia: A Commensal And Consequential Pathogen, Alan L. Gillen

Faculty Publications and Presentations

If Lyme disease causes such urgent and chronic disease issues, where do Borrelia bacteria and ticks fit into a very good creation (Genesis 1)? How did bacteria and ticks change to rely on different hosts and blood for survival? And how are these adaptations informing today’s research in bacteriology, immunology, entomology, and disease ecology? The purposeful placement of Borrelia (Fig. 1) is most likely in the gut of wild mice (Fig. 2), not domesticated mice nor man. The bacteria are communalistic in wild mice, where they may be probiotic for mutual good (Fig. 2)—the Creator made it for good at …


Agent Of The Wild Heart, Allison Whittenberg Jul 2026

Agent Of The Wild Heart, Allison Whittenberg

The Sucarnochee Review

No abstract provided.


Cover And Contents Jul 2026

Cover And Contents

Turkish Journal of Mathematics

No abstract provided.


Generalized Splines Over ℤ-Modules On Arbitrary Graphs, Gökçen Di̇laver, Selma Altinok Jul 2026

Generalized Splines Over ℤ-Modules On Arbitrary Graphs, Gökçen Di̇laver, Selma Altinok

Turkish Journal of Mathematics

Let [[EQUATION]] be a commutative ring with identity and [[EQUATION]] a graph.  Fix an [[EQUATION]]-module [[EQUATION]] for each vertex [[EQUATION]] of [[EQUATION]], an extending generalized spline on [[EQUATION]] is a vertex labeling [[EQUATION]], where for each edge [[EQUATION]] there exists an [[EQUATION]]-module [[EQUATION]] together with homomorphisms [[EQUATION]] and  [[EQUATION]] such that [[EQUATION]]. Extending generalized splines are further generalizations for generalized splines. They can also be considered as generalized splines over modules.In this paper, we prove that some of the results for splines can be extended to extending generalized splines when [[EQUATION]] for each vertex [[EQUATION]], and we define a method …


On Construction Of Mannheim Curves With Myller Configuration, Zehra İşbi̇li̇r, Bahar Doğan Yazici, Murat Tosun Jul 2026

On Construction Of Mannheim Curves With Myller Configuration, Zehra İşbi̇li̇r, Bahar Doğan Yazici, Murat Tosun

Turkish Journal of Mathematics

In this study, our aim is to strengthen the results of the existing literature on the concept of Mannheim curves by using the natural and idiosyncratic structure of Myller configuration. For this purpose, we examine Mannheim curves with Frenet-type frame in Myller configuration for Euclidean 3-space E3 and Euclidean 4-space E4. Since the classical Frenet frames in E3 and E4 are special cases of Frenet-type frames with Myller configuration in E3 and E4, and because of the special and natural structure of the Myller configuration, the Mannheim curves with Frenet frames in …


Biquandle Virtual Brackets And Virtual Knotoids, Nesli̇han Gügümcü, Hamdi̇ Kayaslan Jul 2026

Biquandle Virtual Brackets And Virtual Knotoids, Nesli̇han Gügümcü, Hamdi̇ Kayaslan

Turkish Journal of Mathematics

In this paper, we introduce invariants of virtual knotoids based on biquandles and biquandle virtual brackets. We show that one of these invariants, namely biquandle virtual bracket matrix, is a proper enhancement of the other invariants introduced in this paper.


Disjoint Supercyclic Pseudo-Shifts, Nurhan Çolakoğlu Jul 2026

Disjoint Supercyclic Pseudo-Shifts, Nurhan Çolakoğlu

Turkish Journal of Mathematics

We  give a characterization for disjoint supercyclicity of a finite number of unilateral pseudo-shift operators on [[EQUATION]]. We also characterize unilateral pseudo-shifts that satisfy the Disjoint Supercyclicity Criterion.


A New Characterization Of Globally Conformal Kenmotsu Manifolds And Lagrangian Submersions, Beran Pi̇ri̇nççi̇, Çağrihan Çi̇men, Deni̇z Ulusoy, Hakan Mete Taştan Jul 2026

A New Characterization Of Globally Conformal Kenmotsu Manifolds And Lagrangian Submersions, Beran Pi̇ri̇nççi̇, Çağrihan Çi̇men, Deni̇z Ulusoy, Hakan Mete Taştan

Turkish Journal of Mathematics

We give a characterization theorem for a globally conformal Kenmotsu manifold with an illustrative example. Then we study Riemannian, antiinvariant and Lagrangian submersions from globally conformal Kenmotsu manifolds. Initially, we show that the gradient vector field of the conformal transformation and the Lee vector field of the total manifold of a Riemannian submersion is horizontal when the characteristic vector field is a horizontal vector field. We give necessary and sufficient conditions for the integrability and totally geodesicness of vertical and horizontal distributions of antiinvariant and Lagrangian submersions whose total manifolds are globally conformal Kenmotsu. We also give a necessary and …


Biharmonic Curves In Warped Product Manifolds I ×FMN(C), Şaban Güvenç, Ci̇han Özgür Jul 2026

Biharmonic Curves In Warped Product Manifolds I ×FMN(C), Şaban Güvenç, Ci̇han Özgür

Turkish Journal of Mathematics

We explore the geometric properties of biharmonic curves in warped product manifolds of the form I ×f Mn(c), where I is an open interval and Mn(c) is a space of constant curvature. By establishing a main theorem, we analyze four distinct cases to reveal deeper curvature-related characteristics of these curves, including situations where they are slant. Finally, we construct three examples in I ×f S2(1).


Generalized Submaximality And Paracompactness In Ideal Topological Spaces Via Δβ*-𝔍-Open Sets, Chawalit Boonpok, Areeyuth Sama-Ae Jul 2026

Generalized Submaximality And Paracompactness In Ideal Topological Spaces Via Δβ*-𝔍-Open Sets, Chawalit Boonpok, Areeyuth Sama-Ae

Turkish Journal of Mathematics

This paper explores the notions of δβ*-𝔍-submaximality and δβ*-𝔍-paracompactness within ideal topological spaces, viewing them as natural generalizations of the traditional concepts of submaximality and paracompactness. These concepts arise naturally in the context of ideal topology, where an ideal 𝔍 on a topological space provides additional structure for analyzing topological properties. It focuses on the study of submaximal spaces by employing δβ*-𝔍-open sets, which serve as fundamental building blocks for understanding the topological behavior in ideal spaces. Furthermore, the work provides multiple characterizations of δβ*-𝔍-paracompact spaces and examines how this property behaves …


Impulsive Hahn--Sturm--Liouville Equations, Bi̇lender Paşaoğlu Allahverdiev, Hüseyi̇n Tuna, Hati̇ce Bulut Demi̇ralay Jul 2026

Impulsive Hahn--Sturm--Liouville Equations, Bi̇lender Paşaoğlu Allahverdiev, Hüseyi̇n Tuna, Hati̇ce Bulut Demi̇ralay

Turkish Journal of Mathematics

In this study, we investigate the Hahn--Sturm--Liouville problems with impulsive boundary conditions. The basic spectral properties of this type of equations are investigated.


The Kinematic Relationship Between Plücker Coordinates,  Moments Of Ruled Surfaces, And Real Quaternion Algebra, Selahatti̇n Aslan Jul 2026

The Kinematic Relationship Between Plücker Coordinates,  Moments Of Ruled Surfaces, And Real Quaternion Algebra, Selahatti̇n Aslan

Turkish Journal of Mathematics

This paper introduces a new kinematic method for generating ruled surfaces in Euclidean 3-space. We demonstrate that the Plücker coordinate method for straight lines can be extended to ruled surfaces. We prove that the moment of a ruled surface is a unique curve, which is independent of the chosen base curve. Moreover, we introduce a novel and distinctive base curve that is defined as the set of points on the rulings of the ruled surface such that these points are closest to the origin. Thus, we prove that each ruled surface can be generated using a real quaternion and a …


Pgl Orbits On Products Of Flag Varieties, Izzet Coşkun, Abuzer Gündüz Jul 2026

Pgl Orbits On Products Of Flag Varieties, Izzet Coşkun, Abuzer Gündüz

Turkish Journal of Mathematics

In this paper, we study the existence of a dense orbit for the diagonal [[EQUATION]] action on self-products of partial flag varieties. We determine when there exists a dense orbit for flag varieties of the form [[EQUATION]] when [[EQUATION]] or when [[EQUATION]] and [[EQUATION]] for some [[EQUATION]]. We also show that certain infinite families of products do not have a dense orbit.


On Statistical Multiplicative Uniform Convergence, Abdullah Aydin, Recep Türk, İrem Güler Jul 2026

On Statistical Multiplicative Uniform Convergence, Abdullah Aydin, Recep Türk, İrem Güler

Turkish Journal of Mathematics

This paper introduces a new concept of convergence, called statistical multiplicative uniform convergence, on Riesz algebras. This concept unifies three fundamental convergence types: statistical convergence, multiplicative convergence, and relatively uniform convergence. After establishing basic properties such as uniqueness, linearity, and compatibility with algebraic and lattice operations, we investigate its relationships with order convergence, statistical multiplicative order convergence, and relatively uniform convergence. In particular, we prove that statistical multiplica tive uniform convergence coincides with statistical multiplicative order convergence when an order unit exists. Moreover, for monotone sequences in Archimedean semiprime f-algebras, statistical multiplicative uniform convergence implies order convergence. We also study …


Notes On The Geometry Of Electromagnetic Fields And Maxwell’S Equations Along A Nonnull Curves In Nonflat-3d Space Forms MQ3(C), Fatma Almaz, Cumali̇ Eki̇ci̇ Jul 2026

Notes On The Geometry Of Electromagnetic Fields And Maxwell’S Equations Along A Nonnull Curves In Nonflat-3d Space Forms MQ3(C), Fatma Almaz, Cumali̇ Eki̇ci̇

Turkish Journal of Mathematics

In this paper, the directional derivatives in accordance with the orthonormal frame {T→, N→, B→} are defined in Mq3(c), the extended Serret-Frenet relations by using Frenet formulas are expressed. Furthermore, we express the bending elastic energy function for the same particle in Mq3(c) according to curve γ(s, ξ, η) and we tried to interpret it from a geometric perspective of the energy for unit vector fields. Also, Maxwell’s equations are expressed for the electric and magnetic field vectors …