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Morphometric And Reproductive Divergence Of Deep-Water Shrimps Plesionika Martia (A. Milne-Edwards, 1883) And P. Heterocarpus (A. Costa, 1871) Along A Depth Gradient In The Eastern Aegean Sea, Murat Özbek, Cengi̇z Koçak, Zafer Tosunoğlu
Morphometric And Reproductive Divergence Of Deep-Water Shrimps Plesionika Martia (A. Milne-Edwards, 1883) And P. Heterocarpus (A. Costa, 1871) Along A Depth Gradient In The Eastern Aegean Sea, Murat Özbek, Cengi̇z Koçak, Zafer Tosunoğlu
Turkish Journal of Zoology
This study provides a comparative analysis of two deep-water pandalid shrimp species, Plesionika martia and P. heterocarpus, based on monthly samples collected over one year in the Eastern Aegean Sea. Specimens were obtained from species-specific depth zones (550 m for P. martia and 350 m for P. heterocarpus) to examine morphometric traits, sexual dimorphism, and reproductive patterns. A total of 4419 individuals were analyzed. Females were significantly larger and more abundant than males (K–S test, p < 0.05), indicating pronounced sexual dimorphism. Length–weight relationships revealed negative allometric growth in both species, confirmed by t-tests (p < 0.05). Reproductive activity differed markedly: P. martia showed a short and distinct spawning period peaking in late autumn, whereas P. heterocarpus displayed a prolonged, bimodal cycle with peaks in spring and summer. The gonadosomatic index (GSI) and the proportion of ovigerous females varied significantly by season and species. A strong positive correlation between carapace length and gonad weight was found, with a more linear relationship in P. martia and greater variability in P. heterocarpus. Size at first maturity (L₅₀) was estimated at 22.3 mm CL for P. heterocarpus but could not be reliably determined for P. martia due to limited small size data, likely reflecting ontogenetic depth segregation. The consistent bathymetric separation between these species—also reported in the Western Mediterranean—suggests ecological niche differentiation. Species-specific management measures, including depth-based fishing restrictions and temporal closures during reproductive peaks, are recommended to support the sustainable exploitation of deep sea shrimp stocks in the region.
Frequencies And Roles Of Plants In The Diet Of Three Mesocarnivores (Canis Lupaster, Genetta Genetta, And Herpestes Ichneumon): Implications For Forest Regeneration In A North African Hot Spot (Algeria), Messaoud Bensidhoum, Abdelkrim Limane, Larbi Khifer, Ania Ben Ammar, Lylia Amrouche
Frequencies And Roles Of Plants In The Diet Of Three Mesocarnivores (Canis Lupaster, Genetta Genetta, And Herpestes Ichneumon): Implications For Forest Regeneration In A North African Hot Spot (Algeria), Messaoud Bensidhoum, Abdelkrim Limane, Larbi Khifer, Ania Ben Ammar, Lylia Amrouche
Turkish Journal of Zoology
The Djurdjura National Park (PND, Algeria) is part of one of the world’s 36 biodiversity hot spots, recognised by the United Nations as a national biosphere reserve. It contains the Darna primary forest, a key habitat for several mesocarnivore mammals, including the golden wolf (Canis lupaster), the common genet (Genetta genetta) and the ichneumon mongoose (Herpestes ichneumon). Although their diets are primarily based on animal prey, these carnivores exhibit both qualitative and quantitative reliance on plants, a pattern that merits thorough documentation. We analysed 30 scats per species per month over four years (1440 scats per species). More than 35% …
Species Identification Using Otolith Morphometry Of Four Gurnards (Family: Triglidae) From Edremit Bay (Aegean Sea), Ahmet Mert Şenbahar, Di̇lek İlhan, Aydin Ünlüoğlu, Sencer Akalin
Species Identification Using Otolith Morphometry Of Four Gurnards (Family: Triglidae) From Edremit Bay (Aegean Sea), Ahmet Mert Şenbahar, Di̇lek İlhan, Aydin Ünlüoğlu, Sencer Akalin
Turkish Journal of Zoology
Shape and size analyses of otoliths are widely considered appropriate tools for distinguishing between fish species and for assessing populations and stocks. The present study aims to distinguish four gurnard species collected from Edremit Bay (Aegean Sea) based on variations in their otolith shape morphology. A total of 60 specimens of Eutrigla gurnardus, 64 of Chelidonichthys lastoviza, 60 of Chelidonichthys lucerna, and 60 of Lepidotrigla cavillone were analyzed. No significant intraspecific differences were noted in the morphology of the left and right otoliths, and so only the left sagittal otoliths were subjected to further analysis. Otolith shape was quantified using …
Latest Sightings Of The Striped Hyena In North Africa: Major Threats And Conservation Actions, Abderrazak El Alami, Abderrazzak Fattah, Ilyas El Alami, Ziad El Alami
Latest Sightings Of The Striped Hyena In North Africa: Major Threats And Conservation Actions, Abderrazak El Alami, Abderrazzak Fattah, Ilyas El Alami, Ziad El Alami
Turkish Journal of Zoology
The striped hyena (Hyaena hyaena) is widely distributed across the northern half of Africa, the Middle East, the Arabian Peninsula, and parts of Asia. However, numerous studies indicate that this carnivore is in decline, and it is currently classified as near threatened on the IUCN Red List of threatened species. In North Africa, the Hyaena hyaena barbara subspecies has been extirpated from many areas. This article summarizes data collected from observations of the striped hyena in North Africa between 2004 and 2024. Among the 418 striped hyenas recorded in North Africa between 2004 and 2024, 18.4% (n = 77) were …
Geochemistry Of The Upper Jurassic–Lower Cretaceous Limestone Of The Bilecik Formation In The Dümrek Area (Eskişehir, Western Central Anatolia): Implications For Depositional Environment And Paleotemperature, Asuman Kahya, Meti̇n Bağci
Geochemistry Of The Upper Jurassic–Lower Cretaceous Limestone Of The Bilecik Formation In The Dümrek Area (Eskişehir, Western Central Anatolia): Implications For Depositional Environment And Paleotemperature, Asuman Kahya, Meti̇n Bağci
Turkish Journal of Earth Sciences
Upper Jurassic–Lower Cretaceous limestones of the Bilecik Formation are exposed near the village of Dümrek (Eskişehir Province) within the Sakarya Zone. Mineralogical analyses reveal that these limestones are predominantly composed of calcite and include intraclasts, fossil shell fragments, ooids, and peloids, cemented by sparry and micritic calcite. The U/Th, Ni/Co, V/(V+Ni), V/Cr, and Ce/Ce* ratios indicate that these carbonates were deposited in an oxic environment. Furthermore, the Mn/Sr ratios imply no diagenetic alteration, indicating preservation of the original geochemical signature. The PAAS-normalized REE+Y patterns of these limestones display depletion in light rare earth elements, a pronounced positive La anomaly (La/La* …
Neotectonics Of The Malatya Basin, Se Türkiye; Implications Of The Reactivations Of The Faults Of The Basin During 6 February 2023 Earthquakes Of The East Anatolian Fault System, Yaşar Ergun Gökten, Doğan Kalafat
Neotectonics Of The Malatya Basin, Se Türkiye; Implications Of The Reactivations Of The Faults Of The Basin During 6 February 2023 Earthquakes Of The East Anatolian Fault System, Yaşar Ergun Gökten, Doğan Kalafat
Turkish Journal of Earth Sciences
The Malatya Basin (MB) is a fault-controlled superimposed sedimentary basin situated in the SE of Anatolia, near and to the north of the East Anatolian Fault System (EAFS). The rock units ranging from the Permo–Carboniferous to the Upper Miocene form the basin’s basement. The thickening of the Upper Cretaceous–Upper Miocene sequence toward the Malatya Fault (MF), the basin’s northwestern boundary, indicates a dip-slip-dominated character for the MF and its control on the first-step sedimentation of the basin. The MF changes its character from dip-slip normal to the strike-slip in the Late Pliocene, and today presents a 1700-m left lateral offset, …
Numerical Study Of Porosity Effects On Temperature And Fluid Flow In Black Sea Gas Hydrates, Bahar Güvem, Doğa Doğan
Numerical Study Of Porosity Effects On Temperature And Fluid Flow In Black Sea Gas Hydrates, Bahar Güvem, Doğa Doğan
Turkish Journal of Earth Sciences
Numerical temperature and fluid flow simulations were conducted using ANSYS Fluent to investigate the influence of porosity variations on the temperature distribution within the gas hydrate layer. The study was carried out in the Black Sea region, where the gas hydrate deposits are of particular interest due to their potential for energy resources. The simulations explored various porosity levels within the hydrate layer to observe their effect on thermal behavior and fluid dynamics. The results revealed that porosity plays a significant role in modulating the temperature distribution within the gas hydrate layer, with lower porosity models exhibiting higher temperatures compared …
Effects Of Seismic Filters On Pretrained Cnn Models For Fault Detection: Application To The Delft 3d Seismic Volume, The Netherlands, Süleyman Alemdar, Ertan Pekşen
Effects Of Seismic Filters On Pretrained Cnn Models For Fault Detection: Application To The Delft 3d Seismic Volume, The Netherlands, Süleyman Alemdar, Ertan Pekşen
Turkish Journal of Earth Sciences
Accurate mapping of faults from 3D seismic volumes is critical for identifying structural traps, assessing reservoir compartmentalization, and guiding drilling decisions. This study evaluates how common seismic conditioning filters affect both the visual quality of a production Delft 3D poststack time-migrated volume and the outputs of two pretrained 3D CNN fault detectors: UNet3D and FaultNet. Seven filters were applied independently—AJAX, DeSmile, SimpleDenoise, Dip-Steered Median Filter (DSMF), Edge-Preserving Smoother (EPS), Fault Enhancement, and Ridge Enhancement—and results were inspected across inline, crossline, time-slice, and full-cube perspectives. The analysis is image-driven, supported by high-resolution comparison figures and view-specific interpretations.Filters that suppress incoherent noise …
Integrated Dinsar And Hvsr Microtremor Analysis For Understanding Ground Deformation And Site Effects: Case Study Of The Bawean Earthquake (M6.5), Joshua Purba, Muhammad Fikri Hayqal Hiola, Ramadhan Priadi, Riska Yulinda, Iham Ilham, Rosa Amelia
Integrated Dinsar And Hvsr Microtremor Analysis For Understanding Ground Deformation And Site Effects: Case Study Of The Bawean Earthquake (M6.5), Joshua Purba, Muhammad Fikri Hayqal Hiola, Ramadhan Priadi, Riska Yulinda, Iham Ilham, Rosa Amelia
Turkish Journal of Earth Sciences
This study investigates the seismic hazards of Bawean Island following a recent M6.5 earthquake using an integrated approach combining differential interferometric synthetic aperture radar (DInSAR) and horizontal-to-vertical spectral ratio (HVSR) methodologies. The DInSAR analysis revealed ground deformation characterized by subsidence up to 10 cm and uplift up to 8 cm, correlating with the region’s strike-slip fault dynamics. HVSR analysis provided insights into site amplification effects, identifying zones with low Vs30 values (153.77–454.72 m/s), high amplification factors (A0), and elevated seismic vulnerability index values (Kg). The dominant frequency (f0) on Bawean Island ranges from 0.64 to 17.76 Hz, with most areas …
Burdigalian–Langhian Flora Of The Çan–Etili (Çanakkale) Basin, Compared With Those Of Western Türkiye, Sari̇ye Duygu Durak, Mehmet Serkan Akki̇raz
Burdigalian–Langhian Flora Of The Çan–Etili (Çanakkale) Basin, Compared With Those Of Western Türkiye, Sari̇ye Duygu Durak, Mehmet Serkan Akki̇raz
Turkish Journal of Earth Sciences
A palaeofloristic study was carried out on Lower–Middle Miocene deposits of western Türkiye (Çan–Etili Basin). The sediments of the Çan–Etili Basin, which were obtained from measured sections, were deposited in a continental environment. The palaeovegetation of the Çan–Etili Basin (Kazım Oğlak and Keçiağılı successions) during the Early–Middle Miocene was mainly made up of evergreen and deciduous mixed forests (Castanea–Castanopsis, Cyrillaceae–Clethraceae, Engelhardia, Quercus evergreen-type, Quercus deciduous-type), riparian vegetation with high quantities of Alnus and conifers such as Pinus haploxylon-type, Pinus diploxylon-type, and undifferentiated Pinaceae. The reconstructed palaeoclimate data from the palaeoflora (pollen and leaves) imply a warm and temperate climate, with …
Enhanced Antenna Selection Techniques For Energy-Efficient Code Index Modulation Aided Spatial Modulated Wireless Communication Systems, Fati̇h Çögen, Burak Ahmet Özden, Erdoğan Aydin
Enhanced Antenna Selection Techniques For Energy-Efficient Code Index Modulation Aided Spatial Modulated Wireless Communication Systems, Fati̇h Çögen, Burak Ahmet Özden, Erdoğan Aydin
Turkish Journal of Electrical Engineering and Computer Sciences
This study proposes an integrated multiple-input multiple-output (MIMO) transceiver framework, termed CIM-HQAM-SM, which combines code index modulation (CIM) and spatial modulation (SM) with energy-efficient hexagonal quadrature amplitude modulation (HQAM). In the proposed bit mapping, the information bits jointly select (i) the active transmit-antenna index, (ii) the Walsh–Hadamard spreading-code indices for the in-phase and quadrature branches, and (iii) an HQAM symbol. Hence, the payload is conveyed through the constellation symbol as well as through antenna and code indices. For the considered Rayleigh-fading scenarios and matched spectral-efficiency settings, the proposed framework offers BER improvements over conventional SM and quadrature SM (QSM), while …
An Ensembled Two-Phase Deep Learning Approach For A Psychiatric Disorder Detection, Prajna Paramita Debata, Midhun Chakkaravarthy, Brojo Kishore Mishra
An Ensembled Two-Phase Deep Learning Approach For A Psychiatric Disorder Detection, Prajna Paramita Debata, Midhun Chakkaravarthy, Brojo Kishore Mishra
Turkish Journal of Electrical Engineering and Computer Sciences
Computational Psychiatry represents a burgeoning realm within scientific inquiry, delving into the intricate interplay of neurobiology within the brain. The escalating prevalence of mental illness underscores the urgency to confront this challenge. Among the prevalent disorders, Schizophrenia and Bipolar Disorder loom large, affecting a significant portion of the population at some point in their lives. However, pinpointing psychiatric disorders poses a formidable challenge. Genetic predispositions significantly influence the development of mental illnesses, with intriguing overlaps observed among certain disorders. This convergence complicates accurate diagnosis. Here, a deep learning approach is considered for significant gene biomarker identification and classification of Schizophrenia …
Sentisec: Combining Keyword Heuristics And Sentiment Modeling For Ai-Powered Threat Detection, Ridho Surya Kusuma, Erum Ashraf, Selvakumar Manickam, Shankar Karuppayah
Sentisec: Combining Keyword Heuristics And Sentiment Modeling For Ai-Powered Threat Detection, Ridho Surya Kusuma, Erum Ashraf, Selvakumar Manickam, Shankar Karuppayah
Turkish Journal of Electrical Engineering and Computer Sciences
This work presents SENTISEC, a hybrid LLM-based threat detection framework designed to classify security logs by integrating keyword heuristics, domain-adapted sentiment scoring, and Retrieval-Augmented Generation (RAG). The system achieves an overall accuracy of 93.67%, with 91.46% macro recall, 89.07% macro F1, and 95.15% threat recall, while maintaining a low false-positive rate of 1.68%. Its methodology incorporates strict keyword and IOC matching, a domain-tuned DistilBERT sentiment module, hybrid BM25–MiniLM retrieval enhanced with BGE reranking, adaptive quantile-based threshold calibration, and SHAP-based explainability. Comparative evaluations against keyword-only, sentiment-only, classical machine-learning models, and DistilBERT-only baselines show that SENTISEC consistently improves both true-positive and true-negative …
Optimal Network Reconfiguration Based On Discrete Metaheuristic Techniques For Reduction Of Power Loss And Carbon Emission In Distribution Networks, Asad Ali, Hazlie Mokhlis, Nurulafiqah Nadzirah Mansor, Hussain Shareef, Hasmaini Mohamad, Munir Azam Muhammad
Optimal Network Reconfiguration Based On Discrete Metaheuristic Techniques For Reduction Of Power Loss And Carbon Emission In Distribution Networks, Asad Ali, Hazlie Mokhlis, Nurulafiqah Nadzirah Mansor, Hussain Shareef, Hasmaini Mohamad, Munir Azam Muhammad
Turkish Journal of Electrical Engineering and Computer Sciences
Power distribution systems play a crucial role in transmitting electrical power from generation sources to end users. During transmission, significant power losses occur in the form of heat as the current flowing along the lines/cables has resistance. To minimize power losses, distribution network reconfiguration (DNR) has been widely adopted. This paper proposes optimal DNR based on metaheuristic techniques with discrete mutation feature targeting active power loss reduction, which subsequently lowers carbon emissions and operational costs. Through the discrete mutation feature, computational time to find optimal solution has been reduced significantly with fewer iterations compared to conventional mutation techniques. The proposed …
Sgsc-Kko-Lstm: A Deeplearning Classifier Model For Smart Grid, Dushmanta Kumar Das, Samaniba Imchen
Sgsc-Kko-Lstm: A Deeplearning Classifier Model For Smart Grid, Dushmanta Kumar Das, Samaniba Imchen
Turkish Journal of Electrical Engineering and Computer Sciences
Maintaining smart grid stability is crucial for the reliable operation of decentralized electricity networks, especially as the energy sector becomes more complex. The process of ensuring grid stability begins with collecting consumer data and comparing it to power supply requirements. Ultimately, consumers receive a report showing their energy use and pricing details. However, this process is time-consuming and can be improved by leveraging artificial intelligence to predict smart grid stability more efficiently. Specifically, an optimized Long Short-Term Memory (LSTM) network is proposed to predict smart grid stability, addressing the challenges associated with traditional data collection and evaluation methods. Simulations from …
Reducing Complexity In Versatile Video Coding Intra-Coding Through Machine Learning-Based Optimization Of Partitioning And Prediction, Amina Kessentini, Amna Maraoui, Imen Werda, Fatma Ezahra Sayadi
Reducing Complexity In Versatile Video Coding Intra-Coding Through Machine Learning-Based Optimization Of Partitioning And Prediction, Amina Kessentini, Amna Maraoui, Imen Werda, Fatma Ezahra Sayadi
Turkish Journal of Electrical Engineering and Computer Sciences
The escalating demand for high-resolution multimedia content has necessitated more efficient video compression solutions. The Versatile Video Coding (VVC) standard, despite achieving remarkable compression gains, introduces significant computational complexity, primarily due to its exhaustive Rate-Distortion Optimization (RDO) process. To address this, we propose an intelligent approach leveraging supervised machine learning techniques to streamline the VVC encoding process. Specifically, we introduce a Lightweight Neural Network (LNN) for efficient coding unit partitioning decisions and a Decision Tree (DT) classifier for optimizing the intra prediction process. This dual-method framework, tailored for All Intra coding configuration, significantly reduces encoder complexity while maintaining compression performance …
Designing Risk-Aware Mixed-Mode Evacuation Strategies For Tsunamis: Insights From İstanbul, Vedat Bayram, Doruk Ergez, Ada Arikanoğlu
Designing Risk-Aware Mixed-Mode Evacuation Strategies For Tsunamis: Insights From İstanbul, Vedat Bayram, Doruk Ergez, Ada Arikanoğlu
Turkish Journal of Electrical Engineering and Computer Sciences
Tsunamis pose severe and time-critical risks to densely populated coastal cities, where limited warning times and infrastructure constraints demand carefully coordinated evacuation strategies. This study develops an integrated, risk-aware optimization framework that jointly considers vertical and horizontal sheltering options together with mixed pedestrian-vehicular evacuation dynamics. The proposed mixed-integer second-order cone programming (MISOCP) model simultaneously determines vertical shelter location, evacuee assignment, road-use designation for pedestrians and vehicles, and route selection under congestion, capacity, and budget constraints. Vehicle travel times incorporate congestion effects through a convex flow-dependent function, while pedestrian routing ensures convergent and conflict free evacuation paths. A risk-minimization objective accounts …
Cover And Contents
Turkish Journal of Electrical Engineering and Computer Sciences
No abstract provided.
A Joint Optimization-Based Novel Attack For Genomic Beacon Reconstruction, Kousar Saleem, Si̇nem Sav
A Joint Optimization-Based Novel Attack For Genomic Beacon Reconstruction, Kousar Saleem, Si̇nem Sav
Turkish Journal of Electrical Engineering and Computer Sciences
Genomic data sharing has become an essential component of biomedical research, enabling large-scale collaborations and accelerating discoveries in human genetics. To balance the need for accessibility with privacy concerns, several controlled-access mechanisms have been proposed, including genomic beacons. Genomic beacons answer simple presence/absence queries about specific genetic variants. However, prior work has demonstrated that beacons remain vulnerable to genome reconstruction attacks, where an adversary can recover large portions of participants’ genomes using summary statistics. Building on insights from prior reconstruction attacks, we introduce an approach that unifies SNP correlation and allele frequency alignment objectives within a single-stage joint optimization framework. …
Automated Software Size Measurement Using Multilingual Domain-Adapted Language Models, Samet Tenekeci̇, Hüseyi̇n Ünlü, Burak Keçeci̇, Muhammed Efe İnci̇r, Onur Demi̇rörs
Automated Software Size Measurement Using Multilingual Domain-Adapted Language Models, Samet Tenekeci̇, Hüseyi̇n Ünlü, Burak Keçeci̇, Muhammed Efe İnci̇r, Onur Demi̇rörs
Turkish Journal of Electrical Engineering and Computer Sciences
Software Size Measurement (SSM) is crucial for estimating required project effort as well as budget and schedule. However, many small and medium-sized companies struggle to apply objective SSM due to limited resources and lack of expertise. This often leads to inaccurate estimates and project overruns. There is a need for practical, low-resource solutions that support these tasks without requiring expert involvement. Motivated by this challenge, this study proposes an automated software size measurement approach that formulates the measurement task as supervised regression over natural language requirements, using domain-adapted transformer models. We construct large-scale Turkish and English software engineering corpora to …
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.