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Articles 32131 - 32160 of 1820591
Full-Text Articles in Entire DC Network
Pentalogy Of Cantrell, Mohammed J. Aboud
Pentalogy Of Cantrell, Mohammed J. Aboud
Al-Qadisiyah Medical Journal
Pentalogy of Cantrell is a rare syndrome that consists of defects involving the diaphragm, abdominal wall, pericardium, heart and lower sternum. A 2 –day- old male neonate presented to the pediatric surgical unit in the Maternity and Child Teaching hospital\AL-diwaniya with abdominal wall defect,precious baby deliverd by C\S to the mother with history of primary infertility for more than 13 year, The first clinical evaluation revealed epigastric omphalocele ( liver ,spleen and transverse colon were exposed with rupture sac , sternal defect , and ectopia cordis. U\S ,echocardogram and radiological studies were done to exclude others associated anomalies , Staged …
Mental Retardation In Children, Causes &Prevention, Zuhair M. Al-Musawi
Mental Retardation In Children, Causes &Prevention, Zuhair M. Al-Musawi
Al-Qadisiyah Medical Journal
This study was conducted to know the definite & probable causes of mental retardation (M.R.) in children & how can we prevent some of the cases. Three hundred eighty three children with moderate to severe (M.R.) were studied in Kerbala Pediatric Hospital over two years from January 2003 to January 2005. The male to female ratio was 1.51:1. The etiology was known in151 patients (39.4%) & was unknown in 232 patients (60.6%). The probable preventable causes include kernicterus, hypoxic ischaemic encephalopathy, severe malnutrition, prematurity neonatal sepsis, hypothyroidism, encephalitis, meningitis, neural tube defect, galactossaemia, shaken baby syndrome & lead poisoning, constituting …
Discharging Open Mastoid Cavity Contributing Factors & Approach To Managemnt, Adel S. Al- Mayaly, Yasir Lafta Hassoun, Rajaa Jabar Kadhim
Discharging Open Mastoid Cavity Contributing Factors & Approach To Managemnt, Adel S. Al- Mayaly, Yasir Lafta Hassoun, Rajaa Jabar Kadhim
Al-Qadisiyah Medical Journal
Chronic ear discharge is one of the indications of mastoid surgery, however; this persistent discharge may be the outstanding feature of complicated surgery ““Discharging open mastoid cavityâ€. Discharging open mastoid cavity is defined as persistently discharging cavity following canal-wall down mastoidectomy for a period more than 3-6 months.The etiology of this discharging cavity is mutifactorial. This study focuses the light on the contributing factors of the persistence of ear discharge after canal-wall down mastoid surgery: surgical , bacteriological & structural ( Eustachian tube function).Fifty patients with discharging cavity & 40 patients with dry cavity were gathered from the outpatient department …
The Gci Vortex Spine: Integrated Vortex‑Induced Energy Platform Using Arachne V8.7 Smart‑Skin, Resonance‑Adaptive Logic, And Gyroid‑Lattice Structural Core, Michael Victor Caldwell Mr.
The Gci Vortex Spine: Integrated Vortex‑Induced Energy Platform Using Arachne V8.7 Smart‑Skin, Resonance‑Adaptive Logic, And Gyroid‑Lattice Structural Core, Michael Victor Caldwell Mr.
Defensive Publications Series
This disclosure describes the GCI “Vortex Spine,” a modular, solid‑state energy‑harvesting platform designed for long‑duration, low‑maintenance deployment in remote or resource‑limited environments. The system integrates three independently functional inventions: (1) a vortex‑induced vibration (VIV) mechanical tower with electromagnetic generation modules, (2) an adaptive resonance‑control logic engine, and (3) the Arachne v8.7 multi‑modal Smart‑Skin substrate. The mechanical subsystem uses a gyroid‑lattice structural core and helical J‑groove surface geometry to induce controlled vortex shedding at low wind speeds. The logic subsystem uses high‑frequency kinetic sensing and adaptive load modulation to maintain structural safety and optimize power output. The Arachne v8.7 Smart‑Skin provides …
Women’S Cardiovascular Health In 2025: Advancements Achieved, Challenges Ahead, Jamilah S. Alrahimi
Women’S Cardiovascular Health In 2025: Advancements Achieved, Challenges Ahead, Jamilah S. Alrahimi
Saudi Medical Journal
Cardiovascular disease (CVD) is the leading cause of death among women globally. Recognition of sex-specific risk factors, pathophysiology, and clinical presentations has established women's cardiovascular health as a research and clinical priority. Pregnancy complications, premature menopause, and autoimmune disease, are now identified as long-term contributors to cardiovascular risk, while female-predominant syndromes such as ischemia with non-obstructive coronary arteries and heart failure with preserved ejection fraction are increasingly acknowledged. Novel therapies and updated guidelines emphasize psychosocial determinants, reproductive history, and postpartum risk assessment in prevention and management. Despite these advances, women remain underdiagnosed, undertreated, and underrepresented in clinical trials. Diagnostic delays …
National Heart Center – Saudi Health Council Acute Myocardial Infarction-Related Cardiogenic Shock Consensus Document, Mirvat Alasnag, Abdulrahman Asiri, Hazim Alrahbi, Nhatem Aloui, Ashraf M Anwar, Saad Alhassani, Maryam Mohamed Alqaseer, Ismail Raid Raslan, Ibrahim Albakri, Ahmed Almustafa, Rowa Attar, Faisal Katbi, Feras Khaleil, Alyaa Elhazmi, Adel Tash, Jehad Alburaiki
National Heart Center – Saudi Health Council Acute Myocardial Infarction-Related Cardiogenic Shock Consensus Document, Mirvat Alasnag, Abdulrahman Asiri, Hazim Alrahbi, Nhatem Aloui, Ashraf M Anwar, Saad Alhassani, Maryam Mohamed Alqaseer, Ismail Raid Raslan, Ibrahim Albakri, Ahmed Almustafa, Rowa Attar, Faisal Katbi, Feras Khaleil, Alyaa Elhazmi, Adel Tash, Jehad Alburaiki
Saudi Medical Journal
Objective: Cardiogenic shock (CS) remains a serious complication of acute myocardial infarction (AMI) with persistently high mortality and significant variability in management across centers. Methods: A multidisciplinary panel convened by the National Heart Center used the GRADE framework to review evidence and develop consensus recommendations tailored to AMI-related CS. Results: The document emphasizes standardized CS definition and staging, prioritizing the SCAI classification. Key components include early recognition, haemodynamic assessment, lactate monitoring, and the central role of echocardiography. Recommendations support rapid culprit-vessel revascularization, early consideration of mechanical circulatory support, and structured Heart Team activation. The document also highlights the need for …
Evaluating The Diagnostic Accuracy Of Ultrasound And Clinical Predictors In Pediatric Acute Tip Appendicitis: A Retrospective Study From A Tertiary Center In Saudi Arabia, Abdullah M. Abu Qarnayn, Saud A. Aljadaan, Suliaman M. Alaqeel, Faisal S. Alshehri, Abdullrzak N. Algosear, Waleed A. Alharthi, Munirah A. Alsukait, Kholoud S Alshaya
Evaluating The Diagnostic Accuracy Of Ultrasound And Clinical Predictors In Pediatric Acute Tip Appendicitis: A Retrospective Study From A Tertiary Center In Saudi Arabia, Abdullah M. Abu Qarnayn, Saud A. Aljadaan, Suliaman M. Alaqeel, Faisal S. Alshehri, Abdullrzak N. Algosear, Waleed A. Alharthi, Munirah A. Alsukait, Kholoud S Alshaya
Saudi Medical Journal
Objective: To examines the diagnostic accuracy of ultrasound (US) and the clinical characteristics of pediatric ATA. Acute tip appendicitis (ATA), a rare form of appendiceal inflammation confined to the distal tip, presents with atypical symptoms and is difficult to diagnose. The Confirmation often relies on imaging and surgical pathology. Methods: A Retrospective cross-sectional study conducted at a tertiary hospital in Riyadh, Saudi Arabia, from 2020 to 2024. Among 4,224 pediatric patients with acute appendicitis under 14 years, and our sample size of 59 patients were diagnosed with ATA by US. Firth logistic regression was used to reduce bias in the …
Growing Evidence For Distinct Clinical Features And Early Diagnostic Age Of Cutaneous T-Cell Lymphoma In Saudi Arabia: A Retrospective Study In A Tertiary Care Center, Abdulhadi Jfri, Renad Fayez Alharthy, Mariya Yahya Ashqan, Hassan Omar Bogari, Al-Anoud Yousef Alkhashan
Growing Evidence For Distinct Clinical Features And Early Diagnostic Age Of Cutaneous T-Cell Lymphoma In Saudi Arabia: A Retrospective Study In A Tertiary Care Center, Abdulhadi Jfri, Renad Fayez Alharthy, Mariya Yahya Ashqan, Hassan Omar Bogari, Al-Anoud Yousef Alkhashan
Saudi Medical Journal
Objectives: To examine trends in Cutaneous T-cell Lymphoma (CTCL) disease presentation in the Western Region of the Kingdom of Saudi Arabia (KSA). Cutaneous T-cell lymphomas (CTCLs) have heterogeneous clinical presentation, and disease characteristics can vary between regions and ethnic groups. Methods: We conducted a local observational study at the Princess Noorah Oncology Center and King Abdulaziz Medical City, Jeddah, with CTCL patients referred to and treated in the Saudi Arabian National Guard facilities from January 2017 to December 2023. Medical records of included patients were retrospectively reviewed. Main outcome measures were demographics and clinical characteristics. Results: The cohort comprised 69 …
Incidence And Risk Factors For Post-Thyroidectomy Hypocalcemia: A National Study From Saudi Arabia, Saad M. Alqahtani, Bader E. Alsharari, Abdulaziz H. Al-Shahrani, Shehata F. Shehata, Moneer E. Almadani, Yousef S. Alalawi
Incidence And Risk Factors For Post-Thyroidectomy Hypocalcemia: A National Study From Saudi Arabia, Saad M. Alqahtani, Bader E. Alsharari, Abdulaziz H. Al-Shahrani, Shehata F. Shehata, Moneer E. Almadani, Yousef S. Alalawi
Saudi Medical Journal
Objectives: Post-thyroidectomy hypocalcemia is the leading cause of post-thyroidectomy hospitalization, adversely affecting patient quality of life. The current study sought to determine the incidence of post-thyroidectomy hypocalcemia, identify risk factors and their clinical significance, and provide an overview of the incidence in different Saudi Arabian cities. Methods: This retrospective analysis included all patients who underwent thyroidectomies at King Salman Armed Forces Hospital Northwestern Region, Tabuk, Saudi Arabia between 2015 and 2021 and had available pre- and post-operative calcium levels and clinical, surgical, and pathological data. Various risk factors were evaluated using binary logistic regression to determine their impact on the …
An Examination Of The Effect On Health Protective Behaviour Of Diabetes And Obesity Awareness And Personal Characteristics In Adults: Structural Equation Modeling, Ayşe Soylu, Pinar Şahin
An Examination Of The Effect On Health Protective Behaviour Of Diabetes And Obesity Awareness And Personal Characteristics In Adults: Structural Equation Modeling, Ayşe Soylu, Pinar Şahin
Saudi Medical Journal
Objectives: The World Health Organization has reported that obesity-related diabetes cases are increasing rapidly. The aim of this study was to examine the effect on health protective behaviour of diabetes and obesity awareness and personal characteristics in adults. Method: This descriptive, cross-sectional, correlational study was conducted with 1241 participants. Data were collected using a Personal Information Form, the Diabetes and Obesity Awareness Scale and Health Protective Behaviour Scale. Data analysis was performed with IBM SPSS vn.23 and IBM AMOS vn.24 software. STROBE was used in reporting. Results: Of the total participants, 45.4% had no diabete and obesity awareness and in …
Brief Geriatric Assessment (Bga): An Evidence-Based Tool For Improving Care Of Older Adults, Assim M. Alabdulkader
Brief Geriatric Assessment (Bga): An Evidence-Based Tool For Improving Care Of Older Adults, Assim M. Alabdulkader
Saudi Medical Journal
The Brief Geriatric Assessment is an approach for rapidly identifying high-risk older adults and guiding timely interventions in busy clinical settings. Unlike the Comprehensive Geriatric Assessment, albeit the gold standard, which is resource-intensive, the Brief Geriatric Assessment offers a scalable alternative by using validated, time-efficient tools to screen for common geriatric syndromes. This narrative state-of-the-art review synthesizes the evidence and best practices regarding the concept, structure, and clinical application of the Brief Geriatric Assessment. It compares the Brief Geriatric Assessment and Comprehensive Geriatric Assessment from theoretical and practical perspectives and outlines how the former can be integrated into healthcare settings, …
Sleep Disorder Phenotypes And The Risk Of Incident Heart Failure: A Meta-Analysis With Mendelian Randomization Validation, Fang Yan, Lihua Fan, Yunhu Chen
Sleep Disorder Phenotypes And The Risk Of Incident Heart Failure: A Meta-Analysis With Mendelian Randomization Validation, Fang Yan, Lihua Fan, Yunhu Chen
Saudi Medical Journal
Objectives: To quantify how specific sleep-disorder phenotypes are related to incident heart failure (HF) using a meta-analysis of cohort data and to probe causal relevance via 2-sample Mendelian randomization (MR). Methods: Fourteen cohorts comprised of participants without HF at baseline were pooled (49,501 exposed; 337,317 controls). A random effects meta-analysis produced pooled hazard ratios (HRs) with 95% confidence intervals (CIs). A bidirectional two-sample MR was used to evaluate the causal effects of sleep phenotypes on HF. Results: Overall, sleep disorders were linked to a higher incidence of HF (pooled HR 1.46; 95% CI 1.30–1.63; pp < 0.001), whereas insomnia was not independently associated with HF (pooled HR 1.11; 95% CI 0.75–1.62; p = 0.609). The …
Addendum No. 5: Fog Integration, Vesa Olavi Lius
Addendum No. 5: Fog Integration, Vesa Olavi Lius
Defensive Publications Series
Abstract
Addendum 4 analysed ALLFROMAIR® system performance under clear-sky conditions using passive radiative cooling. A critical operational extension is fog — a phenomenon occurring several hours per day across a wide range of climates, including coastal deserts. During fog periods, the wire-forest electrode structure already present in the system functions directly as a high-efficiency fog collector, while the DEP field actively directs droplets toward the electrode surface and vibration-desorption ensures continuous drainage.
Calculations show that ALLFROMAIR® v2 achieves 0.26–0.97 L/m²/h during fog periods (Q = η × LWC_median × v × 3.6, η = 0.72), compared with 0.07–0.35 L/m²/h for …
Addendum No. 4: Radiative Hybrid Cooling, Vesa Olavi Lius
Addendum No. 4: Radiative Hybrid Cooling, Vesa Olavi Lius
Defensive Publications Series
Abstract
This addendum introduces a critical architectural extension of the ALLFROMAIR® system: the integration of passive radiative cooling directly into the electrode structure. Analysis of the original wire-forest configuration demonstrated that the Modified Kelvin-Thomson (MKT) effect at operational field strengths (E ≈ 1.67 MV/m) produces a vapour-pressure reduction of approximately 0.0007% — insufficient as the sole condensation driving force in sub-saturated air. The solution presented here is to supply a temperature gradient through passive infrared radiative cooling of the electrode surface, requiring no moving parts and consuming no electrical energy.
Calculations demonstrate that a SiO₂/HfO₂ selective radiative coating on an …
Omni‑Vortex Kinetic Stack: Non‑Rotational Atmospheric Energy Harvester Using Gyroid‑Lattice Core And Helical Vortex‑Induction Geometry, Michael Victor Caldwell Mr.
Omni‑Vortex Kinetic Stack: Non‑Rotational Atmospheric Energy Harvester Using Gyroid‑Lattice Core And Helical Vortex‑Induction Geometry, Michael Victor Caldwell Mr.
Defensive Publications Series
This disclosure describes GCI #11, the Omni‑Vortex Kinetic Stack, a non‑rotational atmospheric energy harvester designed for long‑duration operation in remote or resource‑limited environments. The system replaces traditional turbine blades with a resonant vertical mast that uses controlled vortex shedding to induce mechanical oscillation. A gyroid‑lattice structural core provides high strength‑to‑weight performance and passive thermal airflow. Electrical energy is produced through linear electromagnetic generators positioned at structural anti‑nodes. Aerodynamic stabilization is achieved through adaptive boundary‑control tabs. The system integrates with Arachne v8.7 Smart‑Skin for multi‑modal harvesting and with APR AI (Invention #44) for resonance control and structural protection. This disclosure defines …
Walking The Ancient Path: Theology Course Prepares Students For Camino De Santiago, Elisabeth Watson
Walking The Ancient Path: Theology Course Prepares Students For Camino De Santiago, Elisabeth Watson
College of Arts and Sciences Newsroom
UD's annual Camino de Santiago program includes a spring course to prepare students for the physical and spiritual trek across Spain.
Polypeptide Sequence Effects On Virus Thermostability In Complex Coacervate Formulations, Pratik U. Joshi, Claire Decker, Arvind Sathyavageeswaran, Xianci Zeng, Hong Liu, Milad Kheirvari, Ebenezer Tumban, Lynn M. Manchester, Idris Tohidian, Eduardo Barbieri, Sarah L. Perry, Caryn Heldt
Polypeptide Sequence Effects On Virus Thermostability In Complex Coacervate Formulations, Pratik U. Joshi, Claire Decker, Arvind Sathyavageeswaran, Xianci Zeng, Hong Liu, Milad Kheirvari, Ebenezer Tumban, Lynn M. Manchester, Idris Tohidian, Eduardo Barbieri, Sarah L. Perry, Caryn Heldt
Michigan Tech Research Data
Current vaccine formulations heavily rely on cold chains to avoid
degradation during transportation and storage. Vaccines typically degrade
when exposure to temperature outside of 2 – 8°C range, leading to waste and
logistical challenges, particularly in rural areas. This study investigates
the ability of poly(lysine)- and poly(glutamate)-based peptide coacervates
to improve the thermal stability of porcine parvovirus (PPV), a model
non-enveloped viral vaccine. We hypothesized that both the length and
specific amino acid sequence of the peptides forming the coacervates would
influence the stability of PPV. Long polypeptides (400–800 mers) provided
significant protection, slowing PPV inactivation at 60°C for up …
A General Predictive And Conceptual Model For Repulsive Electronic States In Valence Ionized Molecules, Luka Dockx, Bálint Sztáray, Anthony Dutoi
A General Predictive And Conceptual Model For Repulsive Electronic States In Valence Ionized Molecules, Luka Dockx, Bálint Sztáray, Anthony Dutoi
College of the Pacific Faculty Articles
Valence photoionization generates photoions with excess internal energy, often resulting in statistical dissociation, well described by RRKM theory. Yet, numerous small photoions with electronegative substituents (e.g., F, Cl, Br, OH) have been shown to exhibit nonstatistical behavior, undergoing direct dissociation from repulsive electronic states to yield radicals such as F• or OH•, along with their corresponding fragment ions. Here, we present a general, predictive model that rationalizes this mechanism and extends it to molecules bearing electronegative substituents capable of forming 2P (F•, Cl•, Br•) or 2Π (OH•, SH•, N3•, NCO•) radicals. Nonstatistical dissociation arises from ionization of p- or π-localized …
Improving Immigrant Families Health: Screening For Adverse Childhood Experiences, Felicia Vanessa Zimmerman
Improving Immigrant Families Health: Screening For Adverse Childhood Experiences, Felicia Vanessa Zimmerman
Creating Healthy Work Environments (CHWE)
Objective: Adverse Childhood Experiences (ACEs) are associated with physical and mental health conditions and linked to chronic health conditions among adults who have experienced trauma or toxic stress. ACEs are associated with severe health and social difficulties among children and adults, such as low productivity, mental health, substance abuse, chronic diseases, and short life expectancy. One in four children in the U.S. between the ages of 12 and 17 has at least experienced two or more ACEs. ACEs are more prevalent among underserved and ethnic minority groups. Immigrant children are affected more than non-immigrants; 42% of Hispanic children have higher …
Παράδοσις: A Comparative Analysis Of Paul And Oneness Pentecostals, John Calvin Carroll
Παράδοσις: A Comparative Analysis Of Paul And Oneness Pentecostals, John Calvin Carroll
Masters Theses
Tradition is an inescapable element of institutional life, including religious institutions. Traditions inevitably emerge whether in churches, corporations, families, or nations. Within the Christian faith, the critical issue is not the presence of tradition, but the authority and function ascribed to it. This study concerns itself with the role of tradition in both individual and communal expressions of Christianity. Traditions can foster cohesion and identity within Christian communities. However, their specific forms often vary across cultural contexts—for instance, between churches in North America and other continents worldwide. Traditions about men’s and women’s modesty may take on different forms between North …
The Degree Of Nondensifiability In Hausdorff Locally Convex Topological Vector Spaces And Applications, Gonzalo Garcia
The Degree Of Nondensifiability In Hausdorff Locally Convex Topological Vector Spaces And Applications, Gonzalo Garcia
Turkish Journal of Mathematics
The so called degree of nondensifiability, DND, has been studied in Banach spaces through several studies, and some fixed point results using the DND have been proved. In the present paper, we extend the concept of DND to a Hausdorff locally convex topological vector space (LCTVS). Its main properties, as well as the differences between the DND in Banach spaces and the DND in a LCTVS, are analyzed. Furthermore, under suitable conditions, we provide some fixed point results in a LCTVS by using the DND, and as an application, we prove the existence of solutions of certain Volterra integral equations.
Existence Of Positive Periodic Solutions For A First-Order Semilinear Functional Differential Equation With An Iterative Source Term, Ahlème Bouakkaz, Rabah Khemis
Existence Of Positive Periodic Solutions For A First-Order Semilinear Functional Differential Equation With An Iterative Source Term, Ahlème Bouakkaz, Rabah Khemis
Turkish Journal of Mathematics
In this paper, we will establish the existence of positive periodic solutions for a class of first order iterative functional differential equations by using a powerful and effective technique based on the Krasnoselskii fixed point theorem together with some useful properties of a Green's function. The obtained results that complement some previous works, are illustrated with an example.
Simplicity In Le-Semigroups Via Partitions Of Full Words, And Its Applications To Regularity Conditions Induced By Linear Inequalities, Nareupanat Lekkoksung
Simplicity In Le-Semigroups Via Partitions Of Full Words, And Its Applications To Regularity Conditions Induced By Linear Inequalities, Nareupanat Lekkoksung
Turkish Journal of Mathematics
The concept of simplicity in le-semigroups has been used to characterize the coincidence of ideal elements and to study Khayopulu–Green’s relations. Several types of simplicities are known, including two-sided simplicity, left simplicity, right simplicity, bisimplicity, quasisimplicity, and biinterior simplicity. A natural question arises: are there further notions of simplicity for le-semigroups? If so, how are they related? By employing the notion of partition ideal elements, we observe that several potential simplicities have not yet been explored. In this paper, we introduce new forms of simplicity in le-semigroups defined via partitions of full words, and we investigate the …
On The Semigroups Of Order-Preserving And Orientation-Preserving Full Contraction Mappings On A Finite Chain, Gonca Ayik, Hayrullah Ayik
On The Semigroups Of Order-Preserving And Orientation-Preserving Full Contraction Mappings On A Finite Chain, Gonca Ayik, Hayrullah Ayik
Turkish Journal of Mathematics
Let OPCTn (OCTn) denote the semigroup consisting of all orientation-preserving (order-preserving) full contraction mappings on the finite chain Xn = {1 < ··· < n}, and let OPDCTn (ODCTn) denote the subsemigroup of OPCTn (OCTn) consisting of all order-decreasing transformations. The purpose of this paper is to determine the cardinalities of OPCTn, OPDCTn, N(ODCTn), and N(OPDCTn), and to identify generating sets of minimal size, thereby determining their ranks. Moreover, the number of idempotents of OPDCTn is determined.
A Geometric Property Characterizing The 3d-Generalized Clothoids, Pascual Lucas, José-Antonio Ortega-Yagües
A Geometric Property Characterizing The 3d-Generalized Clothoids, Pascual Lucas, José-Antonio Ortega-Yagües
Turkish Journal of Mathematics
In this paper, we study 3D-generalized clothoids, defined as curves for which there exists another distinct curve, with proportional arclength parameter, such that the Darboux lines of both curves at corresponding points are the same. We prove that these curves are those for which the ratio of torsion and curvature τ/κ is a linear rational function of the arclength. We also show that any 3D-generalized clothoid can be constructed from a rectifying curve, which is of constant curvature in the case of a 3D-clothoid.
Multiplicative Lorentz Matrix Multiplication And The Motion On Multiplicative Lorentz Plane, Osman Keçi̇li̇oğlu, İlayda Durmaz, Hali̇t Gündoğan
Multiplicative Lorentz Matrix Multiplication And The Motion On Multiplicative Lorentz Plane, Osman Keçi̇li̇oğlu, İlayda Durmaz, Hali̇t Gündoğan
Turkish Journal of Mathematics
In this paper, we define the multiplicative determinant for general n×n matrices, extending previous studies that were limited to lower-dimensional cases. Additionally, we introduce a novel matrix multiplication operation based on the multiplicative Lorentz inner product and conduct a thorough investigation of its algebraic properties. Furthermore, we explore rotational and reflectional transformations in the two-dimensional multiplicative Lorentz space L*2, supported by illustrative examples of these geometric motions.
Investigation Of The Behavior Of Biparametric Potentials Associated With The Laplace-Bessel Differential Operator In Weighted Lebesgue Spaces, Çağla Seki̇n
Turkish Journal of Mathematics
In this article, we investigate the mapping properties of potential-type operators of the form Jαβ = (E + (−Δν)β/2)−α/β, (β, α > 0), where Δν is the Laplace-Bessel differential operator. We establish norm inequalities that describe the boundedness of the operator Jαβ from Lp,ν to Lq,ν under suitable conditions on α, β, p and q. The results extend and unify the known estimates for classical potential operators. In particular, the cases β = 1 and β = 2 correspond to the modified Flett and Bessel potentials, respectively.
On Fredholm Type Integral Equations In H\"{O}Der Spaces: Existence Of Solutions, Yasemi̇n Başci, Adi̇l Misir, Süleyman Öğrekçi̇
On Fredholm Type Integral Equations In H\"{O}Der Spaces: Existence Of Solutions, Yasemi̇n Başci, Adi̇l Misir, Süleyman Öğrekçi̇
Turkish Journal of Mathematics
In this study, we investigate the existence of solutions for a quadratic integral equation of the Fredholm type. The analysis is conducted on a finite interval bounded by two arbitrary constants, where the unknown function is associated with a prescribed kernel and two operators satisfying specific regularity and boundedness conditions. The methodological framework of this work is built upon the classical Schauder fixed point theorem, complemented by the structural properties of Hölder spaces. The results obtained not only encompass but also extend several previous contributions in the literature, as the discussion is carried out within a generalized setting over the …
Exploring Topological And Game-Theoretic Properties Of Selective Covering Bispaces, Selma Özçağ
Exploring Topological And Game-Theoretic Properties Of Selective Covering Bispaces, Selma Özçağ
Turkish Journal of Mathematics
This paper considers set selectively star countable chain condition in a bitopological setting, exploring its fundamental topological properties and its relationships with the existing selective covering properties. Furthermore we investigate a game-theoretic characterizations of the selectively countable chain condition property in bitopological spaces.
The Killing Magnetic Curves In The Anti-De Sitter Space H31, Uğur Dursun
The Killing Magnetic Curves In The Anti-De Sitter Space H31, Uğur Dursun
Turkish Journal of Mathematics
In this paper, we study space-like, time-like and light-like Killing magnetic curves derived from Killing magnetic vector fields of the anti-de Sitter space H31 by using the half-space model H31 of H31. We find the first integrals of the system of nonlinear differential equations that describe the Killing magnetic curves corresponding to some Killing vector fields of H31, and then we give some particular solutions to obtain space-like, time-like and light-like magnetic curves of H31. Also, we calculate the curvature and torsion of some space-like and time-like …