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A Real-Time Embedded System Designed For Nilm Studies With A Novel Competitive Decision Process Algorithm, Sai̇d Mahmut Çinar, Rasi̇m Doğan, Emre Akarslan
A Real-Time Embedded System Designed For Nilm Studies With A Novel Competitive Decision Process Algorithm, Sai̇d Mahmut Çinar, Rasi̇m Doğan, Emre Akarslan
Turkish Journal of Electrical Engineering and Computer Sciences
This paper explores the determination of any load or load combination in a power system at any moment. This process requires measurements at the main electric utility service entry of a house, known as nonintrusive measurement. To accurately identify loads, total harmonic distortion, RMS, third harmonic currents, and power consumption are considered their fingerprints. Based on these fingerprints, an algorithm called the competitive decision process is developed and integrated into an embedded system. This algorithm has a two-level decision mechanism. In the first stage, the winner loads with the highest similarity scores from each feature are determined, and the loads …
Multi-Label Voice Disorder Classification Using Raw Waveforms, Gökay Di̇şken
Multi-Label Voice Disorder Classification Using Raw Waveforms, Gökay Di̇şken
Turkish Journal of Electrical Engineering and Computer Sciences
Automated voice disorder systems that distinguish pathological voices from healthy ones have been developed with the aid of machine learning methods. Both clinicians and patients can benefit from these systems as they provide many advantages, compared to the invasive techniques. These systems can produce binary (healthy/pathological) or multi-class (healthy/selected pathologies) decisions. However, multiple disorders might exist in an individual’s voice. Multi-label classification should be considered in such cases. By this time, only a single report is available on this topic, where hand-crafted features were used, and a data augmentation technique was utilized to overcome class imbalances. In this study, a …
Network Intrusion Detection Based On Machine Learning Strategies: Performance Comparisons On Imbalanced Wired, Wireless, And Software-Defined Networking (Sdn) Network Traffics, Hi̇lal Hacilar, Zafer Aydin, Vehbi̇ Çağri Güngör
Network Intrusion Detection Based On Machine Learning Strategies: Performance Comparisons On Imbalanced Wired, Wireless, And Software-Defined Networking (Sdn) Network Traffics, Hi̇lal Hacilar, Zafer Aydin, Vehbi̇ Çağri Güngör
Turkish Journal of Electrical Engineering and Computer Sciences
The rapid growth of computer networks emphasizes the urgency of addressing security issues. Organizations rely on network intrusion detection systems (NIDSs) to protect sensitive data from unauthorized access and theft. These systems analyze network traffic to detect suspicious activities, such as attempted breaches or cyberattacks. However, existing studies lack a thorough assessment of class imbalances and classification performance for different types of network intrusions: wired, wireless, and software-defined networking (SDN). This research aims to fill this gap by examining these networks’ imbalances, feature selection, and binary classification to enhance intrusion detection system efficiency. Various techniques such as SMOTE, ROS, ADASYN, …
Efficient Deep Neural Network Compression For Environmental Sound Classification On Microcontroller Units, Shan Chen, Na Meng, Haoyuan Li, Weiwei Fang
Efficient Deep Neural Network Compression For Environmental Sound Classification On Microcontroller Units, Shan Chen, Na Meng, Haoyuan Li, Weiwei Fang
Turkish Journal of Electrical Engineering and Computer Sciences
Environmental sound classification (ESC) is one of the important research topics within the non-speech audio classification field. While deep neural networks (DNNs) have achieved significant advances in ESC recently, their high computational and memory demands render them highly unsuitable for direct deployment on resource-constrained Internet of Things (IoT) devices based on microcontroller units (MCUs). To address this challenge, we propose a novel DNN compression framework specifically designed for such devices. On the one hand, we leverage pruning techniques to significantly compress the large number of model parameters in DNNs. To reduce the accuracy loss that follows pruning, we propose a …
Early Frasnian (Upper Devonian) Genundewa Event In The Bolshaya Nadota River Section Of The Subpolar Urals (Russia), Marina Soboleva, Denis Gruzdev, Dmitry Sobolev, Andrey Zhuravlev
Early Frasnian (Upper Devonian) Genundewa Event In The Bolshaya Nadota River Section Of The Subpolar Urals (Russia), Marina Soboleva, Denis Gruzdev, Dmitry Sobolev, Andrey Zhuravlev
Turkish Journal of Earth Sciences
Evidence of the Frasnian Genundewa Event at the FZ 2 – FZ 3 boundary interval has been detected in the facies of the isolated carbonate platform in Subpolar Urals. The preserved traces of the Genundewa Event represent micritic microlaminated carbonates, which manifests a short-term deepening episode in an extremely shallow water background. From the onset of this deep-water deposition there is a dominance of Polygnathus, Ancyrodella, and Mesotaxis whereas in the underlying shallow water deposits, the genus Polygnathus clearly predominated. No specific features of the Genundewa Event were observed in the C-isotope record. The mean δ13Ccarb value is approximately 2‰ …
Corrigendum To “Two New Species Of Inocybe (Inocybaceae: Agaricomycetes) From Türkiye Based On Morphological Characteristics And Phylogenetic Evidence [Turkish Journal Of Botany 48 (3) 2024 145-154 ], Oğuzhan Kaygusuz, Ditte Bandini, Henning Knudsen, Meike Piepenbring
Corrigendum To “Two New Species Of Inocybe (Inocybaceae: Agaricomycetes) From Türkiye Based On Morphological Characteristics And Phylogenetic Evidence [Turkish Journal Of Botany 48 (3) 2024 145-154 ], Oğuzhan Kaygusuz, Ditte Bandini, Henning Knudsen, Meike Piepenbring
Turkish Journal of Botany
This corrigendum is to address an issue regarding the manuscript's previous publication, specifically Fig. 5.Regrettably, the authors have noticed that the Figure 5 is missing among the figures although there is an incite reference within the text. To rectify this oversight and ensure the accuracy of the published work, the Figure 5 is included for your reference.
Link to the original article: https://journals.tubitak.gov.tr/botany/vol48/iss3/3/
Novelties In Funalia And The Status Of Fomitella (Polyporaceae, Basidiomycota), Virton Rodrigo Targino De Oliveira, Paulo Roberto De Assis Alves, Nelson Correia De Lima-Júnior, Carla Santos, Nelson Lima, Leif Ryvarden, Josef Vlasák, Tatiana Baptista Gibertoni
Novelties In Funalia And The Status Of Fomitella (Polyporaceae, Basidiomycota), Virton Rodrigo Targino De Oliveira, Paulo Roberto De Assis Alves, Nelson Correia De Lima-Júnior, Carla Santos, Nelson Lima, Leif Ryvarden, Josef Vlasák, Tatiana Baptista Gibertoni
Turkish Journal of Botany
During studies on the taxonomical delimitation of some species of Funalia, some inconsistencies were observed in the genus. Based on morphological and phylogenetic analyses, Fomitella supina was positioned within the Funalia clade, thus the synonymization of the genus and the new combination of F. supina are proposed. Funalia glabrorigens is also combinated in the genus, while Coriolopsis hainanensis is suggested as a synonym of F. floccosa and F. rigida is assumed as a distinct species from F. floccosa. A table with morphological comparison of the 10 Funalia species confirmed by molecular analyses is also presented.
Mattiastrum Pulumurense (Cynoglossinae, Boraginaceae), A New Endemic Species From Türkiye, Asli Doğru Koca, Mustafa Gökmen, Gülderen Yilmaz, Mehmet Yavuz Paksoy
Mattiastrum Pulumurense (Cynoglossinae, Boraginaceae), A New Endemic Species From Türkiye, Asli Doğru Koca, Mustafa Gökmen, Gülderen Yilmaz, Mehmet Yavuz Paksoy
Turkish Journal of Botany
A new species, Mattiastrum pulumurense, has been described from Tunceli in eastern Turkey. It is generally distinguished from other species (except M. racemosum var. scabridum) by a sparsely hairy or glabrescent above-ground part. It is most similar morphologically to M. longipes, M. calycinum and Paracaryum hedgei (P. hedgei is potential a member of the genus Mattiastrum). However, it differs from M. longipes and M. calycinum by its 3-3.5 mm long and linear lanceolate scales, 2.5-4.5 mm long anthers, and 10-15 mm long styles; it differs from Paracaryum hedgei by its 3-3.5 mm long scales, 2.5-4.5 mm long anthers. In addition, …
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
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
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
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
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 …
Limited Thermal Plasticity In High Mountain Tropical Water Bear, Juan Manuel Carvajalino-Fernández, Valentina Diaz-Galvis, Alan Dante Torres-Jaramillo
Limited Thermal Plasticity In High Mountain Tropical Water Bear, Juan Manuel Carvajalino-Fernández, Valentina Diaz-Galvis, Alan Dante Torres-Jaramillo
Turkish Journal of Zoology
Tardigrades, a phylum of microscopic organisms well known for their resistance to extreme conditions thanks to adaptations such as cryptobiosis, in which they are able to suspend their metabolism until more favorable conditions arise. These organisms are found in a wide range of environments, and high Andean mountains are not the exception, even though weather conditions are highly variable during the day, let alone a month. An experiment was thus conducted at 2600m in Bogotá, Colombia to evaluate the resistance of Macrobiotus sp. found on trees, three sets of fifteen tardigrades were exposed to 20 °C, 30 °C and 40 …
Artificial Light At Night On Nesting Beaches Of The Green Turtle, Chelonia Mydas, In The Eastern Mediterranean And Its Possible Effect On Populations, Noam Leader, Yaniv Levy, Oğuz Türkozan
Artificial Light At Night On Nesting Beaches Of The Green Turtle, Chelonia Mydas, In The Eastern Mediterranean And Its Possible Effect On Populations, Noam Leader, Yaniv Levy, Oğuz Türkozan
Turkish Journal of Zoology
Artificial light associated with coastal development is becoming one of the major threats to coastal biodiversity. Sea turtles are coastal breeders, and it is well-known that hatchlings tend to move toward lighter objects on the beach, which prevents them from reaching the sea. It is, therefore, essential to identify the impact of artificial light at night (ALAN) on the nesting beaches. Here, we investigated ALAN levels using imagery from satellites at important green turtle (Chelonia mydas) nesting beaches in the Mediterranean. Mean August radiance levels at nesting beaches ranged from 0.00473 nW/cm2sr (Northern Cyprus-South Karpaz Beach) to 14.44 nW/cm2sr (Turkey …
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
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 …
Modeling Habitat Suitability And Current Distribution Of The Relicted Maghreb Magpie (Pica Mauritanica), Kamel Eddine Mederbal, Mohcen Menaa, Abdallah Aouadi, Lamia Boutabia, Lamia Bensaâd-Bendjedid, Khalladi Mederbal, Amira Bouderbala, Abderrahmane Chebli, Salah Telailia
Modeling Habitat Suitability And Current Distribution Of The Relicted Maghreb Magpie (Pica Mauritanica), Kamel Eddine Mederbal, Mohcen Menaa, Abdallah Aouadi, Lamia Boutabia, Lamia Bensaâd-Bendjedid, Khalladi Mederbal, Amira Bouderbala, Abderrahmane Chebli, Salah Telailia
Turkish Journal of Zoology
The Maghreb Magpie (Pica mauritanica) is an endemic bird to North Africa, encompassing Algeria, Morocco, and Tunisia. Unfortunately, its population is facing a significant decline primarily attributed to habitat loss and fragmentation resulting from urbanization and agricultural practices. Due to the lack of studies on habitat requirements of Pica mauritanica on a large scale, investigating the habitat preferences of this species and thereby understanding the potential threats, remains crucial for effective conservation strategies. We performed species distribution modeling (SDM), incorporating both occurrence records and predictor variables, to investigate the potentially suitable habitat and the factors influencing the distribution of the …
Identification Of Blood Meals In Field Collected Culex Pipiens, Anopheles Sacharovi And Culex Tritaeniorhynchus (Diptera: Culicidae) Using The Elisa Method, Fatma Bursali, Gi̇zem Anti̇ka, Sare İlknur Yavaşoğlu, Fati̇h Mehmet Şi̇mşek
Identification Of Blood Meals In Field Collected Culex Pipiens, Anopheles Sacharovi And Culex Tritaeniorhynchus (Diptera: Culicidae) Using The Elisa Method, Fatma Bursali, Gi̇zem Anti̇ka, Sare İlknur Yavaşoğlu, Fati̇h Mehmet Şi̇mşek
Turkish Journal of Zoology
Information obtained about the blood feeding behavior of mosquito populations in nature is important for understanding their vectorial capacity and evaluating their potential role in the transmission of vector-borne diseases. This study investigated the feeding patterns of Culex pipiens, Anopheles sacharovi and Culex tritaeniorhynchus by using ELISA method. A total of 435 blood-fed females were collected from the Aegean and Mediterranean regions of Türkiye between May 2021-September 2023. The types and numbers of potential domestic animal hosts were recorded in each village. Of the 372 blood meals tested, 348 gave a single host positive result mainly on bovine and human, …
Positive And Decreasing Solutions For Higher Order Caputo Boundary Valueproblems With Sign-Changing Green’S Function, Rian Yan, Yige Zhao, Xuan Leng, Yabing Li
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
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
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
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
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
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
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
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
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.