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Observational Constraints On The Structure-Induced Dark Energy Model, Ali̇ Kazim Çamlibel
Observational Constraints On The Structure-Induced Dark Energy Model, Ali̇ Kazim Çamlibel
Turkish Journal of Physics
A new phenomenological dark energy model, originally associated with large-scale structure formation and proposed as a solution to the fine-tuning and coincidence problems related to the cosmological constant, was analyzed within the framework of General Relativity in a Friedmann-Robertson-Walker spacetime and its model parameters were estimated using cosmic chronometers and recent DESI data. It turns out that the proposed model can serve as an alternative evolving dark energy model with a novel equation of state function. Given the form of this phenomenological energy density ansatz, which rises with the nonlinear structure growth in the universe and declines as cosmic voids …
On Cosmological Equation Of State From The First Law Of Thermodynamics, Ch'ng Han Siong
On Cosmological Equation Of State From The First Law Of Thermodynamics, Ch'ng Han Siong
Turkish Journal of Physics
We derive several equations of state for different types of energy from the first law of thermodynamics. We derive the equation of state of a Machian universe from the well-known energy formulaE=mc2. This equation of state is consistent with previously reported results. We then propose hypothetical forms of energy that lead to the equations of state of the Chaplygin gas, generalized Chaplygin gas, and modified Chaplygin gas. We also obtain the energy density of the Chaplygin gas by dividing the hypothetical energy by the volume of the universe, and find that it is consistent with previously reported results. Finally, we …
Design And Fabrication Of Petri Dish Optimized For High-Frequency Acoustic Microscopy Using 3d Printing, Tuna Pesen, Beyza Ceren Eren, Arda İnanç, Bora Akgün
Design And Fabrication Of Petri Dish Optimized For High-Frequency Acoustic Microscopy Using 3d Printing, Tuna Pesen, Beyza Ceren Eren, Arda İnanç, Bora Akgün
Turkish Journal of Physics
High-frequency imaging in acoustic microscopy requires the use of Petri dishes with thin and acoustically transparent bottoms to minimize signal attenuation and distortion. Commercially available options suitable for this purpose are often expensive or limited in compatibility with custom setups. Here, we present a cost-effective and easily customizable alternative developed in our laboratory, consisting of a 3D-printed frame combined with commercially available stretch film. The stretch film serves as an ultrathin (8 µm thickness) base that supports efficient high-frequency acoustic transmission, enabling clear and reliable imaging. Beyond acoustic microscopy, the adaptable design is also compatible with other modalities such as …
Generalized Splines Over ℤ-Modules On Arbitrary Graphs, Gökçen Di̇laver, Selma Altinok
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
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
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
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
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
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
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
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
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
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
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
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 …
Analysis And Categorization Of Second-Order Linear Partial Dynamic Equations On Time Scales, Svetlin G. Georgiev, Jervin Zen Lobo, Sanket Tikare
Analysis And Categorization Of Second-Order Linear Partial Dynamic Equations On Time Scales, Svetlin G. Georgiev, Jervin Zen Lobo, Sanket Tikare
Turkish Journal of Mathematics
In this paper, we obtain the canonical form of second-order linear partial dynamic equations in two independent variables on time scales, together with the identity for the characteristic quadratic form. This is then used to classify these equations as hyperbolic, elliptic, or parabolic. We deduce the characteristic equations in each case, determine their roots, and provide the corresponding characteristic curves. In one case, we derive the generalized Beltrami equations on time scales. Suitable examples involving equations of interest are explored, and the developed theory is illustrated through these examples.
Del Pezzo Surfaces Of Degree One And Examples Of Zariski Multiples, Ichiro Shimada
Del Pezzo Surfaces Of Degree One And Examples Of Zariski Multiples, Ichiro Shimada
Turkish Journal of Mathematics
We construct examples of Zariski N-tuples with large N using the monodromy action of the Weyl group of type E8 on the set of 240 lines in a del Pezzo surface of degree one.
Warped Product Ptr-Submanifolds In A Kähler Manifold, Firat Yerli̇kaya, Bayram Şahi̇n
Warped Product Ptr-Submanifolds In A Kähler Manifold, Firat Yerli̇kaya, Bayram Şahi̇n
Turkish Journal of Mathematics
Recently, the PTR-submanifold of an almost Hermitian manifold has been defined and studied as a large class including CR-submanifolds, hemi-slant submanifolds, and pointwise hemi-slant submanifolds, which are well-known in the literature. This novel category of submanifolds comprises two distributions, one of which is antiinvariant while the complementary distribution is arbitrary. This paper discusses the case of a PTR-submanifold being a warped product. It is first shown that there are no such warped product submanifolds for the case where the first factor is antiinvariant. Therefore, warped product PTR-submanifolds whose second factor is antiinvariant are examined. A characterization is given for this …
A Late Holocene (Late Bronze Age) Record Of The Syrian Elephant (Elephas Maximus Asurus) From Gavur Lake Swamp (Kahramanmaraş, Türkiye), Serdar Mayda, Yarenkür Alkan
A Late Holocene (Late Bronze Age) Record Of The Syrian Elephant (Elephas Maximus Asurus) From Gavur Lake Swamp (Kahramanmaraş, Türkiye), Serdar Mayda, Yarenkür Alkan
Turkish Journal of Earth Sciences
The Syrian elephant (Elephas maximus asurus Deraniyagala, 1951) constitutes the extinct westernmost population of the Asian elephant and occupied parts of the Near East until the early first millennium BCE. Although historical, iconographic, and dental evidence for this population has been discussed extensively, its postcranial anatomy remains poorly documented. We present a revised osteological and morphometric study of cranial and postcranial remains recovered from the Late Bronze Age Gavur Lake Swamp assemblage (ca. 1650–1400 cal BCE) in Kahramanmaraş, southeastern Türkiye, during rescue excavations conducted in 2021 and 2022. The material derives from a natural swamp deposit rather than from an …
Nonmarine Ostracods Of Northern Cyprus: Diversity, Ecology, And Global Island Comparisons, Ahmet Özdi̇lek, Okan Külköylüoğlu
Nonmarine Ostracods Of Northern Cyprus: Diversity, Ecology, And Global Island Comparisons, Ahmet Özdi̇lek, Okan Külköylüoğlu
Turkish Journal of Zoology
There is a notable paucity of detailed information regarding the distribution and ecological characteristics of nonmarine Ostracoda in Northern Cyprus. Furthermore, a comprehensive assessment of their distribution across islands in the Northern and Southern Hemispheres is incomplete. To advance our understanding of ostracod diversity, distribution, and ecological preferences, a total of 79 aquatic sites in Northern Cyprus were randomly sampled between 18 May and 12 August 2022. A total of 64 ostracod taxa were identified, comprising 28 living species and 36 subfossils, with 18 species representing new records for the island. Additionally, five ostracod species were reported for the first …
Dietary Stability Of The Eurasian Beaver Revealed By Hair Stable Isotopes, Linas Balčiauskas, Rasa Vaitkevičiūtė Koklevičienė, Andrius Garbaras, Inga Garbarienė, Laima Balčiauskienė
Dietary Stability Of The Eurasian Beaver Revealed By Hair Stable Isotopes, Linas Balčiauskas, Rasa Vaitkevičiūtė Koklevičienė, Andrius Garbaras, Inga Garbarienė, Laima Balčiauskienė
Turkish Journal of Zoology
The Eurasian beaver (Castor fiber) is a keystone ecosystem engineer whose expanding populations increasingly occupy agricultural landscapes. Hair stable isotope analysis was applied to reconstruct assimilated diet in 56 legally hunted beavers in Lithuania in 2024–2025. Stable carbon isotope values were tightly clustered (–25.53 ± 0.10‰ SE), while those for nitrogen showed greater variability (5.38 ± 0.20‰ SE), indicating limited interindividual dietary differentiation. Generalized linear models revealed no significant effects of sex, year, or month, and age-related differences were limited to the youngest individuals. Comparison with published Polish data showed no significant differences in mean isotope values. Overall, the results …
From Introduction To Biomass Dominance: The Invasive Fish Striped Piggy (Pomadasys Stridens) Reshaping Demersal Assemblages In The Eastern Mediterranean, Mehmet Cengi̇z Deval
From Introduction To Biomass Dominance: The Invasive Fish Striped Piggy (Pomadasys Stridens) Reshaping Demersal Assemblages In The Eastern Mediterranean, Mehmet Cengi̇z Deval
Turkish Journal of Zoology
Rapid increases in the abundance and biomass of nonindigenous species have the potential to profoundly reshape demersal fish assemblages in the Eastern Mediterranean Sea, yet quantitative evidence from long-term standardized surveys remains scarce. In the present study, temporal changes in biomass dynamics and community structure were assessed using fishery-independent trawl surveys conducted on the continental shelf of Antalya Bay (GSA 24) during two periods a decade apart (2009–2010 and 2020–2021), with particular focus on the Lessepsian striped piggy Pomadasys stridens. Based on the second survey, in which both daytime and nocturnal sampling were conducted, the biomass index (BI) differed significantly …
Comparative Cytogenetics Of Four Phelsuma Species: Insights Into Chromosome Evolution In Malagasy Gekkonidae, Marcello Mezzasalma, Gaetano Odierna, Fabio Maria Guarino, Elvira Brunelli
Comparative Cytogenetics Of Four Phelsuma Species: Insights Into Chromosome Evolution In Malagasy Gekkonidae, Marcello Mezzasalma, Gaetano Odierna, Fabio Maria Guarino, Elvira Brunelli
Turkish Journal of Zoology
Karyotype diversification and chromosome mutations (or macromutations) such as inversions, fusions, and fissions represent understudied factors of biological evolution. We present in this study one of the first experimental cytogenetic analyses on the Malagasy day geckos of the genus Phelsuma. A molecular analysis was performed using a trait of the mitochondrial 12S and a comparative chromosome study with traditional Giemsa coloration, Ag-NOR staining and sequential C-banding (C-banding + Giemsa + fluorochromes) on nine individuals of Phelsuma from different localities. The molecular analysis allowed unambiguous identification of three species (P. lineata, P. laticauda, and P. standingi), while two additional samples likely …
Paleoseismological Study Of The Active Faults Of Northern Cyprus, Hasan Elmaci, Şule Gürboğa, Seli̇m Özalp, Hasret Ozan Avci, Hakan Aydoğan, Ayhan Yavuzoğlu, Ali̇ Atalay Yüce, Meryem Kara, Ahmet Rasi̇mcan Öztürker
Paleoseismological Study Of The Active Faults Of Northern Cyprus, Hasan Elmaci, Şule Gürboğa, Seli̇m Özalp, Hasret Ozan Avci, Hakan Aydoğan, Ayhan Yavuzoğlu, Ali̇ Atalay Yüce, Meryem Kara, Ahmet Rasi̇mcan Öztürker
Turkish Journal of Earth Sciences
The tectonic framework of Northern Cyprus is presented in this study based on integrated fieldwork and paleoseismology. We identified multiple fault systems including the 214-km Dardere (Ovgos) Fault Zone (with seven segments), the Haspolat Transfer Fault, Mersinlik Fault, Yamaçköy Fault Zone, Boğazköy Fault, Alsancak Fault, and Geçitköy-Koruçam Fault Zone. Eleven paleoseismological trenches were excavated, with six yielding reliable results in terms of dating and stratigraphy. The results indicate recurrence intervals exceeding ~2500 years across different fault segments. The Dardere (Ovgos) Fault Zone shows the potential to generate earthquakes of up to Mw 7.80 with evidence of Holocene activity. The Haspolat …
Integrated Edge Detection Of Gravity Data And Seismicity Approach For Mapping Potential Faults In The Bolu Region, Hazel Deni̇z Toktay, Burçi̇n Di̇dem Tamtaş
Integrated Edge Detection Of Gravity Data And Seismicity Approach For Mapping Potential Faults In The Bolu Region, Hazel Deni̇z Toktay, Burçi̇n Di̇dem Tamtaş
Turkish Journal of Earth Sciences
The Bolu region, situated along the western–central segment of the North Anatolian Fault Zone (NAFZ), is characterized by a complex fault architecture in which multiple overlapping strike-slip segments and associated subsurface structures accommodate active crustal deformation. Although the principal fault strands of the NAFZ have been well mapped, several clusters of seismicity are observed in areas without clear surface fault expression, indicating the presence of subsurface or poorly expressed fault zones. In this study, we integrated edge detection methods with a seismicity approach to delineate active and buried structural features across the Bolu region. Bouguer gravity anomalies derived from the …
The Harmancık “Purple Jade”: A Unique Blueschist-Facies Metatrachyte With Significant Geoarchaeological Value, Gülteki̇n Topuz, Aral I. Okay, Constantinos Mavrogonatos, Osman Candan, Michael Brandl, Onur Bamyaci, Serap Ala Çeli̇k, Frederik Vingaard, Warren Thompson, Peter Christian Toft, Benjamin Dominguez Heredia, Tonny Bernt Thomsen, Lasse Vilien Sørensen
The Harmancık “Purple Jade”: A Unique Blueschist-Facies Metatrachyte With Significant Geoarchaeological Value, Gülteki̇n Topuz, Aral I. Okay, Constantinos Mavrogonatos, Osman Candan, Michael Brandl, Onur Bamyaci, Serap Ala Çeli̇k, Frederik Vingaard, Warren Thompson, Peter Christian Toft, Benjamin Dominguez Heredia, Tonny Bernt Thomsen, Lasse Vilien Sørensen
Turkish Journal of Earth Sciences
The so-called Harmancık “purple jade” from the Bursa region of northwestern Türkiye has attracted attention as a gemstone; however, its geological characteristics and provenance have long remained uncertain. This short communication presents new field observations along with mineralogical and petrological data concerning the provenance, metamorphic evolution, and geoarchaeological relevance of this unique rock type. The rock occurs as loose boulders scattered across cultivated fields in the villages of Akpınar, Kocapınar, and Gedikören, where it was previously interpreted either as part of Neogene sedimentary successions or as a high-pressure metamorphic rock affected by contact metamorphism. Our detailed mapping and field observations …
Efficient Edge Implementation Of Midasnet For Real-Time Depth Estimation In Indoor Robotics, Muhammed Yasi̇n Adiyaman, İsmai̇l Fai̇k Başkaya
Efficient Edge Implementation Of Midasnet For Real-Time Depth Estimation In Indoor Robotics, Muhammed Yasi̇n Adiyaman, İsmai̇l Fai̇k Başkaya
Turkish Journal of Electrical Engineering and Computer Sciences
Real-time depth estimation is crucial in many vision-related tasks, including autonomous driving, 3D reconstruction, robotics, and simultaneous localization and mapping. In recent years, many methods have been proposed to solve depth maps from images by utilizing different modality setups like monocular vision, binocular vision, or sensor fusion. However, for real-time deployment on edge devices, complex methods are not suitable due to latency constraints and limited computation capacity. For edge implementation, models should be simple, minimal in size, and hardware-friendly. Considering these factors, we implemented MiDaSNet, which works on the simplest setup of monocular vision and utilizes hardware-friendly convolutional neural network-based …