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Tectonic Geomorphology Of The South-Eastern Section Of The Burdur-Fethiye Shear Zone, Western Taurides: Morphotectonic Framework Of The Eşen Basin, İrem Eli̇tez, Cenk Yaltirak Jul 2024

Tectonic Geomorphology Of The South-Eastern Section Of The Burdur-Fethiye Shear Zone, Western Taurides: Morphotectonic Framework Of The Eşen Basin, İrem Eli̇tez, Cenk Yaltirak

Turkish Journal of Earth Sciences

The Eşen Basin is a transtensional basin located in the south-eastern section of the Burdur-Fethiye Shear Zone and includes a part of the Western Taurides to the east. This tectonically complex area is bounded by the back-arc region of the Hellenic Arc, the offshore Anaximander Mountains, the offshore Rhodes and Finike basins, the extensional Western Anatolian region, and the compressional regions of the Western Taurides. In this study, in order to characterise the recent tectonic activity of the Eşen Basin, 101 drainage basins and 41 mountain fronts were analysed in terms of the longitudinal river profiles and the application of …


Eocene Magmatism Related To Postcollisional Extension In The Eastern Pontides (Ne Türkiye): 40ar-39ar Geochronology, Geochemistry, And Whole-Rock Sr-Nd-Pb-Hf Isotopes, Emre Aydinçakir, Cem Yücel, Abdullah Kaygusuz, Özgür Bi̇li̇ci̇, Si̇nan Yilmazer, Gilles Ruffet Jul 2024

Eocene Magmatism Related To Postcollisional Extension In The Eastern Pontides (Ne Türkiye): 40ar-39ar Geochronology, Geochemistry, And Whole-Rock Sr-Nd-Pb-Hf Isotopes, Emre Aydinçakir, Cem Yücel, Abdullah Kaygusuz, Özgür Bi̇li̇ci̇, Si̇nan Yilmazer, Gilles Ruffet

Turkish Journal of Earth Sciences

The mineral chemistry, whole-rock geochemistry, 40Ar / 39Ar dating and Sr-Nd-Pb-Hf isotopes of the Eocene Narman (Erzurum) Volcanic rocks in the southeast of the Eastern Pontides Orogenic Belt (EPOB, NE Türkiye) were investigated. The Narman Volcanites consist of basaltic dyke, basaltic lava, and basaltic volcanic breccia facies. Volcanites contain plagioclase (An34-80), clinopyroxene (Wo38-47En41-50Fs5-18), and olivine (Fo68-90) as phenocrystals with magnetite/titanomagnetite microphenocrysts. New 40Ar-39Ar ages suggest that these volcanic rocks erupted between 44.5 ± 0.1 and 43.4 ± 0.1 Ma, within the Middle Eocene (Lutetian). Narman Volcanites have calc-alkaline character, with medium-high K content. Volcanites are enriched in large ion lithophile …


Evaluation Of Gis-Based Spatial Interpolation Methods For Groundwater Level: A Case Study Of Türkiye, Ni̇lüfer Ti̇rol Kirçi̇çek, Alper Baba, Ayhan Koçbay, Murat Mert Toklu Jul 2024

Evaluation Of Gis-Based Spatial Interpolation Methods For Groundwater Level: A Case Study Of Türkiye, Ni̇lüfer Ti̇rol Kirçi̇çek, Alper Baba, Ayhan Koçbay, Murat Mert Toklu

Turkish Journal of Earth Sciences

Groundwater is a valuable and universally distributed resource on Earth. Understanding the spatial and temporal dynamics of groundwater is of utmost importance for effective management. Normally, groundwater levels are recorded at arbitrary points, but groundwater modeling requires interpolating the measured values at specific grid nodes. The aim of this study was to identify and evaluate the geographical variations of groundwater levels in Türkiye using three geostatistical interpolation techniques. Data from 355 groundwater wells from 1970 to 2019 were used for this purpose. In addition, an investigation of changes in annual average temperature and precipitation was conducted for two different time …


Facies Architecture And Depositional Evolution Of The Middle Eocene Mass Flow-Dominated Fan Delta Complex In The Multifeeder Areas: Elazığ Marine Basin (Eastern Türkiye), Onur Alkaç Jul 2024

Facies Architecture And Depositional Evolution Of The Middle Eocene Mass Flow-Dominated Fan Delta Complex In The Multifeeder Areas: Elazığ Marine Basin (Eastern Türkiye), Onur Alkaç

Turkish Journal of Earth Sciences

The mass flow-dominated fan delta complex is developed by the rapid deposition of coarse-grained materials in front of uplifted areas under the influence active tectonism. This is important for providing clues about the first opening stages of marine basins. The study aims to shed light on the fact that mass flow-dominated fan delta complexes play an active role in determining the characterization of tectonism controlling basin opening. In the study area, mass flow-dominated deposits of the Deliktaş Fan Delta Complex (DFDC) represent the first deposits of the southern part of the Middle Eocene Elazığ Marine Basin, whose development is controlled …


Spatial And Temporal Nesting Pattern Of Sea Turtles In Alas Purwo National Park, And Itsimplications For Conservation Management Practices, Nia Kurniawan, Novita Kusuma Wardani, Noviyani Utami, Muhammad Asyraf Rijalullah, Miftah Farid Assiddiqy, Awang Gitayana, Hartono Hartono, Muhammad Fathoni, Andreas Bandang Hardian Jul 2024

Spatial And Temporal Nesting Pattern Of Sea Turtles In Alas Purwo National Park, And Itsimplications For Conservation Management Practices, Nia Kurniawan, Novita Kusuma Wardani, Noviyani Utami, Muhammad Asyraf Rijalullah, Miftah Farid Assiddiqy, Awang Gitayana, Hartono Hartono, Muhammad Fathoni, Andreas Bandang Hardian

Turkish Journal of Zoology

As a sea turtle conservation area, Alas Purwo National Park (APNP) shows different patterns in the four species of turtles thathave nesting records, such as an increase in Olive Ridley Turtle (Lepidochelys olivacea), stability in Green Turtle (Chelonia mydas), anda decline in Hawksbill Turtle (Eretmochelys imbricata) and Leatherback Turtle (Dermochelys coriacea). During the survey, which lastedfrom January to July 2023, we discovered that each type of sea turtle preferred nesting sites at specific hypothetical stations, except forthe L. olivacea, which nested at all hypothetical stations along Pancur-Cungur Coast. We also discovered that it is highly encouragedto continue relocations that have …


Cover And Contents Jul 2024

Cover And Contents

Turkish Journal of Mathematics

No abstract provided.


Positive And Decreasing Solutions For Higher Order Caputo Boundary Valueproblems With Sign-Changing Green’S Function, Rian Yan, Yige Zhao, Xuan Leng, Yabing Li Jul 2024

Positive And Decreasing Solutions For Higher Order Caputo Boundary Valueproblems With Sign-Changing Green’S Function, Rian Yan, Yige Zhao, Xuan Leng, Yabing Li

Turkish Journal of Mathematics

In this paper, Caputo boundary value problems of order 3 < ζ ≤ 4 are investigated on the interval [0, 1] .By Guo-Krasnoselskii fixed point theorem, some criteria of existence and multiplicity of positive and decreasing solutionsare established. The main novelty of the paper lies in its capability to achieve positive solutions while the correspondingGreen’s function changes sign. Finally, two examples are provided to illustrate the application of these results.


Stacks In Einstein Gravity, Kadri̇ İlker Berktav Jul 2024

Stacks In Einstein Gravity, Kadri̇ İlker Berktav

Turkish Journal of Mathematics

In this paper, we examine stacky structures in certain Einstein gravity theories. In brief, using the classicalformulation of (vacuum) gravity, with vanishing cosmological constant, we first construct the stack of solutions to Einsteinfield equations on any given fixed manifold. Using a similar approach and setup, we also study Einstein’s gravity onfamilies of manifolds and define another stack encoding this situation. Later on, we focus on the gauge theoreticalinterpretation of 3D gravity and provide a natural stack associated with that interpretation. Finally, in a particularsetup, we give a natural morphism between the two stacks arising from different descriptions of 3D gravity.


Curves As Slant Submanifolds Of An Almost Product Riemannian Manifold, Pablo Alegre, Alfonso Carriazo Jul 2024

Curves As Slant Submanifolds Of An Almost Product Riemannian Manifold, Pablo Alegre, Alfonso Carriazo

Turkish Journal of Mathematics

In this paper, we show that in an almost product manifold there exist curves that are slant submanifolds. Wecharacterize these curves and study them in two and three-dimensional locally product manifolds. Finally, we constructcurves in a hypersurface of a Kaehler manifold.


Properties Of Gyrogroups Induced By Groups Whose Central Quotients Being 2-Engel, Jaturon Wattanapan, Teerapong Suksumran Jul 2024

Properties Of Gyrogroups Induced By Groups Whose Central Quotients Being 2-Engel, Jaturon Wattanapan, Teerapong Suksumran

Turkish Journal of Mathematics

A group Γ is said to be CCII if the quotient Γ/Z(Γ) is 2-Engel or, equivalently, commutator-inversion invariant, where Z(Γ) is the center of Γ. In this article, we prove algebraic and topological properties of gyrogroups that are induced by CCII groups. Then, using a classification of non-abelian groups of order n with n < 32, we determine all finite CCII groups of order less than 32.


The Flow-Geodesic Curvature And The Flow-Evolute Of Spherical Curves, Mircea Crasmareanu Jul 2024

The Flow-Geodesic Curvature And The Flow-Evolute Of Spherical Curves, Mircea Crasmareanu

Turkish Journal of Mathematics

We introduce and study a deformation of the geodesic curvature for a given spherical curve γ . Also, wedefine a new type of evolute and two Fermi-Walker type derivatives for γ . Some concrete examples are detailed with aspecial attention towards space curves with a constant torsion.


Interior Schauder-Type Estimates For M − Th Order Elliptic Operators Inrearrangement-Invariant Sobolev Spaces, Emi̇nağa M. Mamedov, Şeyma Çeti̇n Jul 2024

Interior Schauder-Type Estimates For M − Th Order Elliptic Operators Inrearrangement-Invariant Sobolev Spaces, Emi̇nağa M. Mamedov, Şeyma Çeti̇n

Turkish Journal of Mathematics

In this study, we investigate the m-th order elliptic operators on n-dimensional bounded domain Ω ⊂ Rnwith discontinuous coefficients in the rearrangement-invariant Sobolev space WmX (Ω). In general, the consideredrearrangement-invariant spaces are not separable, so the use of classical methods in these spaces requires substantialmodification of classical methods and a lot of preparation, concerning correctness of substitution operator, problemsrelated to the extension operator in such spaces, etc. For this purpose, the corresponding separable subspaces of thesespaces, in which the set of compact supported infinitely differentiable functions is dense, are introduced based on theshift operator. We establish interior Schauder-type estimates in …


On Vietoris’ Hybrid Number Sequence, Nurten Gürses, Gülsüm Yeli̇z Saçli, Sali̇m Yüce Jul 2024

On Vietoris’ Hybrid Number Sequence, Nurten Gürses, Gülsüm Yeli̇z Saçli, Sali̇m Yüce

Turkish Journal of Mathematics

This work is intended to establish a relation between Vietoris’ sequence, which is a rational sequence, andhybrid numbers. Then it provides some characteristic properties of the hybrid numbers with Vietoris’ number coefficients.Some relations between this hybrid number and its norm, the recurrence relations, the generating function, Binet-likeformula and Catalan-like identities are also indicated. Furthermore, a determinantal approach is presented to obtainelements of Vietoris’ hybrid number sequence.


Some Qualitative Results For Nonlocal Dynamic Boundary Value Problem Of Thermistor Type, Svetlin G. Georgiev, Mahammad Khuddush, Sanket Tikare Jul 2024

Some Qualitative Results For Nonlocal Dynamic Boundary Value Problem Of Thermistor Type, Svetlin G. Georgiev, Mahammad Khuddush, Sanket Tikare

Turkish Journal of Mathematics

This paper is concerned with second-order nonlocal dynamic thermistor problem with two-point boundary conditions on time scales. By utilizing the fixed point theorems due to Schaefer and Rus, we establish some sufficient conditions for the existence and uniqueness of solutions. Further, we discuss the continuous dependence of solutions and four types of Ulam stability. We provide examples to support the applicability of our results.


On A Class Of Permutation Trinomials Over Finite Fields, Burcu Gülmez Temür, Buket Özkaya Jul 2024

On A Class Of Permutation Trinomials Over Finite Fields, Burcu Gülmez Temür, Buket Özkaya

Turkish Journal of Mathematics

In this paper, we study the permutation properties of the class of trinomials of the form f(x) = x4q+1 +λ1xq+4 +λ2x2q+3 ∈ Fq2 [x] , where λ1, λ2 ∈ Fq and they are not simultaneously zero. We find all necessary and sufficientconditions on λ1 and λ2 such that f(x) permutes Fq2 , where q is odd and q = 22k+1, k ∈ N.


New Oscillation Criteria For First-Order Differential Equations With General Delay Argument, Emad R. Attia, Irena Jadlovska Jul 2024

New Oscillation Criteria For First-Order Differential Equations With General Delay Argument, Emad R. Attia, Irena Jadlovska

Turkish Journal of Mathematics

This paper is concerned with the oscillation of solutions to a class of first-order differential equations withvariable coefficients and a general delay argument. New oscillation criteria are established, which improve and extendmany known results reported in the literature. A couple of illustrative examples are given to show the efficiency of thenewly obtained results. In particular, it is shown that our criteria partially fulfill a remaining gap in a recent sharp resultby Pituk et al. [31].


Bernstein-Nikol’Skii-Markov-Type Inequalities For Algebraic Polynomials In Aweighted Lebesgue Space In Regions With Cusps, Uğur Değer, Fahreddi̇n Abdullayev Jul 2024

Bernstein-Nikol’Skii-Markov-Type Inequalities For Algebraic Polynomials In Aweighted Lebesgue Space In Regions With Cusps, Uğur Değer, Fahreddi̇n Abdullayev

Turkish Journal of Mathematics

In this paper, we study Bernstein-Nikol’skii-Markov type inequalities for arbitrary algebraic polynomials withrespect to a weighted Lebesgue space, where the weight functions have some singularities on a given contour. We considercurves which can contain a finite number of exterior and interior corners with power law tangency of the boundary arcs atthose points where the weight functions have both zeros and poles of finite order. The estimates are given for the growthof the module of derivatives for algebraic polynomials on the closure of a region bounded by a given curve, dependingon the behavior of weight functions, on the property of curve, …


Senggani Fruit (Melastoma Malabathricum Linn.) Extract As A Natural Indicator In Ph-Responsive Pva-Taro Starch Plastic Packaging, Rika Risma Dewi, Intan Syahbanu, Winda Rahmalia Jun 2024

Senggani Fruit (Melastoma Malabathricum Linn.) Extract As A Natural Indicator In Ph-Responsive Pva-Taro Starch Plastic Packaging, Rika Risma Dewi, Intan Syahbanu, Winda Rahmalia

Turkish Journal of Chemistry

Polyvinyl alcohol (PVA)-starch-based bioplastics are widely used in many applications. pH-responsive plastic packaging was produced through the incorporation of senggani (Melastoma malabathricum Linn.) fruit extract into PVA-taro starch-based plastic packaging. The objective of this research was to examine the characteristics of senggani fruit extract under different pH conditions and explore its application as a pH indicator in intelligent packaging. The senggani fruit was extracted through the maceration method using a solvent comprising 96% ethanol and 3% citric acid, with a ratio of 85:15 (v/v). The senggani fruit extract solution underwent color changes, appearing pink at pH levels below 6, pale …


Rapid Synthesis Of Azoindolizine Derivatives Via Aryldiazonium Salts, Ferruh Lafzi̇ Jun 2024

Rapid Synthesis Of Azoindolizine Derivatives Via Aryldiazonium Salts, Ferruh Lafzi̇

Turkish Journal of Chemistry

A practical, rapid, and efficient method for the synthesis of azoindolizine derivatives via aryldiazonium salts with excellent yields was reported. Firstly, the corresponding aniline derivatives were synthesized via a simple and rapid method. Then, the optimal reaction conditions were investigated using a variety of protic and aprotic solvents that demonstrating the robustness of the approach. Finally, the applicability of this method to various sources of indolizine and phenyldiazonium tetrafluoroborate salts was expanded.


Antiviral And Cytotoxic Activities And Chemical Profiles Of Two Species Of Abies Nordmanniana From Türkiye, Nazli Sarikahya, Gaye Sümer Okkali, Furkan Ozan Çöven, Sevda Zeinali̇, Gülce Gucur, Ayşe Di̇la Çağlar, Ece Uyar, Ahmet Ceyhan Gören, Ayşe Nalbantsoy Jun 2024

Antiviral And Cytotoxic Activities And Chemical Profiles Of Two Species Of Abies Nordmanniana From Türkiye, Nazli Sarikahya, Gaye Sümer Okkali, Furkan Ozan Çöven, Sevda Zeinali̇, Gülce Gucur, Ayşe Di̇la Çağlar, Ece Uyar, Ahmet Ceyhan Gören, Ayşe Nalbantsoy

Turkish Journal of Chemistry

Abies is an important genus of the family Pinaceae, with about 50 species found in the highlands of Asia, Europe, North Africa, and North and Central America. The principal aim of the present work was to investigate the chemical content and biological potential of the resin and cone from Abies nordmanniana subsp. bornmulleriana and Abies nordmanniana subsp. equi-trojani, respectively. The flavonoid and phenolic contents of the resin and cones were evaluated using liquid chromatography-high resolution mass spectrometry (LC-HRMS). Additionally, the essential oil and fatty acid compositions were analyzed using gas chromatography-mass spectrometry (GC-MS) and gas chromatography-flame ionization detector (GC-FID).. Cytotoxicity …


Theoretical Study On The Insertion Reaction Of The Stannylenoid H2snlif With X-H Bonds (X = N, O, F), Shuo Wu, Bingfei Yan, Shaoli Liu, Wenzuo Li Jun 2024

Theoretical Study On The Insertion Reaction Of The Stannylenoid H2snlif With X-H Bonds (X = N, O, F), Shuo Wu, Bingfei Yan, Shaoli Liu, Wenzuo Li

Turkish Journal of Chemistry

The insertion reactions of p-complex (RP) and three-membered ring configuration (RS) of stannylenoid H2SnLiF with NH3, H2O and HF have been studied theoretically by quantum chemical calculation. The structures of reactants, precursors, transition states, intermediates and products have been fully optimized at the M06-2X/def2-TZVP level. The single point energy of all fixed points were calculated using the QCISD method. The calculation results show that the three-membered ring configuration is easier to conduct the insertion reaction. Comparing the reaction energy barriers of RP, RS to NH3, H2O and HF, we found that the difficulty of the insertion reaction is NH3 > H2O …


Effect Of Quince Seed Gum (Qsg) On The Performance Of Injectable Hyaluronic Acid Hydrogels In Terms Of The Rheological, Morphological, And Mechanical Aspect, Serdar Kolay, Ni̇lhan Kayaman Apohan, Erdi̇nç Babuç, Gökay Gün Jun 2024

Effect Of Quince Seed Gum (Qsg) On The Performance Of Injectable Hyaluronic Acid Hydrogels In Terms Of The Rheological, Morphological, And Mechanical Aspect, Serdar Kolay, Ni̇lhan Kayaman Apohan, Erdi̇nç Babuç, Gökay Gün

Turkish Journal of Chemistry

Injectable hydrogels play an important role in tissue engineering as a filling and repairing material. This study aimed to develop a new injectable hydrogel based on hyaluronic acid (HA) and quince seed gum (QSG) and investigate the effect of QSG on hydrogel performance. The amount of unreacted 1,4-Butanediol diglycidyl ether (BDDE) is maintained at an undetectable level for HA-QSG hydrogels. Amino acid analysis showed that the HA-QSG hydrogel had rich amino acid concentrations of leucine, arginine, and valine. After thermal sterilization, the elastic modulus of HA-QSG gels for dermal and intra-articular filler applications is 63 Pa and 92 Pa respectively. …


Dft Modeling Of Water-Assisted Hydrogen Peroxide Formation From A C(4a)-(Hydro)Peroxyflavin, Yilmaz Özkiliç Jun 2024

Dft Modeling Of Water-Assisted Hydrogen Peroxide Formation From A C(4a)-(Hydro)Peroxyflavin, Yilmaz Özkiliç

Turkish Journal of Chemistry

The cofactor of a class A monooxygenase is reduced at an external location of the enzyme and is subsequently pulled back into the active site after the reduction. This observation brings the question; is there any defense mechanism of the active site of a monooxygenase against the formation of the harmful hydrogen peroxide from the reactive C(4a)-(hydro)peroxide intermediate? In this study, the barrier energies of one to three water molecule-mediated uncoupling reaction mechanisms in water exposed reaction conditions were determined. These were found to be facile barriers. Secondly, uncoupling was modeled in the active site of kynurenine 3-monooxygenase complex which …


Design And Characterization Of Phosphonic Acid-Functionalized Grafted Sepiolite Nanohybrids And Their Adsorption Studies For Removal Of Copper Ions From Aqueous Solution, Mehwish Tahir, Asif Raza, Amara Nasir, Tariq Yasin, Shamila Imtiaz Jun 2024

Design And Characterization Of Phosphonic Acid-Functionalized Grafted Sepiolite Nanohybrids And Their Adsorption Studies For Removal Of Copper Ions From Aqueous Solution, Mehwish Tahir, Asif Raza, Amara Nasir, Tariq Yasin, Shamila Imtiaz

Turkish Journal of Chemistry

In this study, we synthesized novel, economically efficient phosphonic acid-functionalized grafted sepiolite nanohybrids for selective elimination of copper ions from water. These nanohybrids were prepared by graft polymerization of glycidyl methacrylate onto sepiolite. We utilized free radical graft polymerization to graft glycidyl methacrylate (GMA) onto silanized sepiolite. The nanohybrids obtained exhibited a grafting percentage of 479% at 0.3 g of KPS initiator, 15% GMA monomer, and after 4 h of reaction. In pursuit of selectively removing metal ions from water, the nanohybrid with the highest grafting (PGE3) was chemically treated with phosphoric acid to introduce phosphonic acid groups on it. …


Mechanical Calculations On Atomically Thin Membranes, Burak Aslan Jun 2024

Mechanical Calculations On Atomically Thin Membranes, Burak Aslan

Turkish Journal of Physics

No abstract provided.


Weyl Tensor Decomposition To The Formation Of Black Hole, Gauree Shanker, Zakia Issa Ndidi Jun 2024

Weyl Tensor Decomposition To The Formation Of Black Hole, Gauree Shanker, Zakia Issa Ndidi

Turkish Journal of Physics

No abstract provided.


Comparative Study Of Α-Α Interaction Potentials Constructed Using Various Phenomenological Models, Ayushi Awasthi, O S K S Sastri Jun 2024

Comparative Study Of Α-Α Interaction Potentials Constructed Using Various Phenomenological Models, Ayushi Awasthi, O S K S Sastri

Turkish Journal of Physics

No abstract provided.


Axion Dark Matter With Not Quite Black Hole Domination, Ufuk Aydemi̇r Jun 2024

Axion Dark Matter With Not Quite Black Hole Domination, Ufuk Aydemi̇r

Turkish Journal of Physics

No abstract provided.


Application Of Some Artificial Intelligence Optimization Methods To Determine The Freshness Of Eggs, Hasan Alp Şahi̇n, Hasan Önder Jun 2024

Application Of Some Artificial Intelligence Optimization Methods To Determine The Freshness Of Eggs, Hasan Alp Şahi̇n, Hasan Önder

Turkish Journal of Veterinary & Animal Sciences

Egg quality, can be divided into two groups as internal and external, is evaluated using various methods whether breaking eggs. Image processing makes digital images usable for various purposes such as image compression, image editing, object recognition, face recognition, medical imaging, and many other areas such as the automotive industry. This study aimed to determine the freshness of eggs using different artificial intelligence optimization methods with image processing without breaking the eggs. Artificial neural networks (ANNs), artificial bee colony, particle swarm optimization, and genetic algorithms were compared using classification coefficients. As a result of the study, it was determined that …


Enhanced Dip Angle Map Using Kuwahara And Gaussian Filters: An Example From Burdur Region, Türkiye, Özkan Kafadar, Erdi̇nç Öksüm May 2024

Enhanced Dip Angle Map Using Kuwahara And Gaussian Filters: An Example From Burdur Region, Türkiye, Özkan Kafadar, Erdi̇nç Öksüm

Turkish Journal of Earth Sciences

Recently, many edge detection and enhancement techniques have been used to transform geophysical data into a more suitable form for interpretation. The dip angle, a surface-derived attribute that has been frequently used in the interpretation of seismic data, is one of these transforms, and recently, it has started to be utilized as an edge detector in the interpretation of potential field data. In this study, it is proposed to use the potential field data filtered using the Kuwahara and Gaussian filters to obtain clearer and more detailed edges from both the conventional dip angle and its rescaled version. Two synthetic …