Recent Submissions

  • Quasi-equivalence of bases in some Whitney spaces 

    Goncharov, Alexander; Şengül, Yasemin (Cambridge University Press, 2021-05-18)
    If the logarithmic dimension of a Cantor-type set K is smaller than 1 , then the Whitney space E(K) possesses an interpolating Faber basis. For any generalized Cantor-type set K, a basis in E(K) can be presented by ...
  • Lines in supersingular quartics 

    Degtyarev, Alex (Nihon Sugakkai,Mathematical Society of Japan, 2021-10-19)
    We show that the number of lines contained in a supersingular quartic surface is 40 or at most 32, if the characteristic of the field equals 2, and it is 112, 58, or at most 52, if the characteristic equals 3. If the quartic ...
  • Cyclicity of elliptic curves modulo primes in arithmetic progressions 

    Yıldırım, Akbal; Güloğlu, Ahmet M. (Cambridge University Press, 2021-05-03)
    We consider the reduction of an elliptic curve defined over the rational numbers modulo primes in a given arithmetic progression and investigate how often the subgroup of rational points of this reduced curve is cyclic.
  • “Books i used as a child were mathematically incorrect”: reasons to use children’s shape-related books as a resource to improve mathematical knowledge for teaching 

    Alexander, Anita N.; Nurnberger-Haag, Julie; Singh, Rashmi; Wernet, Jamie L. W. (Modestum Publishing Ltd., 2021-04-05)
    Some goals of mathematics teacher education include ensuring that pre-service teachers (PSTs) have strong content knowledge, the skill to anticipate and interpret student thinking, the ability to plan how to respond, and ...
  • On the influence of the fixed points of an automorphism to the structure of a group 

    Kızmaz, Muhammet Yasir (Academic Press, 2021-01-06)
    Let α be a coprime automorphism of a group G of prime order and let P be an α-invariant Sylow p-subgroup of G. Assume that p∉π(CG(α)). Firstly, we prove that G is p-nilpotent if and only if CNG(P)(α) centralizes P. In the ...
  • Stabilization of higher order Schrödinger equations on a finite interval: part II 

    Özsarı, Türker; Yılmaz, K. C. (AIMS Press, 2021-07)
    Backstepping based controller and observer models were designed for higher order linear and nonlinear Schrödinger equations on a finite interval in [3] where the controller was assumed to be acting from the left endpoint ...
  • Correction to: Modelling personal cautiousness during the COVID-19 pandemic: a case study for Turkey and Italy 

    Bulut, H.; Gölgeli, M.; Atay, Fatihcan M. (Springer, 2021-06-14)
    Although policy makers recommend or impose various standard measures, such as social distancing, movement restrictions, wearing face masks and washing hands, against the spread of the SARS-CoV-2 pandemic, individuals follow ...
  • A short note on generic initial ideals 

    Danış, Bekir (TÜBİTAK, 2021-04-19)
    The definition of a generic initial ideal includes the assumption x1 > x2 > · · · > xn . A natural question is how generic initial ideals change when we permute the variables. In the article [1, §2], it is shown that the ...
  • Kelvin-Möbius-invariant harmonic function spaces on the real unit ball 

    Kaptanoğlu, Hakkı Turgay; Üreyen, A. E. (Elsevier, 2021-05-07)
    We define the Kelvin-Möbius transform of a function harmonic on the unit ball of Rn and determine harmonic function spaces that are invariant under this transform. When n ≥ 3, in the category of Banach spaces, the minimal ...
  • Shift operators on harmonic Hilbert function spaces on real balls and von Neumann inequality 

    Alpay, D.; Kaptanoğlu, H. Turgay (Elsevier, 2021-04-22)
    On harmonic function spaces, we define shift operators using zonal harmonics and partial derivatives, and develop their basic properties. These operators turn out to be multiplications by the coordinate variables followed ...
  • Dade groups for finite groups and dimension functions 

    Gelvin, Matthew; Yalçın, Ergün (Academic Press, 2021-06-15)
    Let G be a finite group and k an algebraically closed field of characteristic p > 0. We define the notion of a Dade kG-module as a generalization of endo-permutation modules for p-groups. We show that under a suitable ...
  • Logarithmic dimension and bases in Whitney spaces 

    Goncharov, Alexander; Şengül Tezel, Yasemin (Scientific and Technical Research Council of Turkey - TUBITAK,Turkiye Bilimsel ve Teknik Arastirma Kurumu, 2021-07-27)
    We give a formula for the logarithmic dimension of the generalized Cantor-type set K . In the case when the logarithmic dimension of K is smaller than 1, we construct a Faber basis in the space of Whitney functions E(K).
  • Hilbert series of tangent cones for Gorenstein monomial curves in A4(K) 

    Katsabekis, Anargyros (Scientific and Technical Research Council of Turkey - TUBITAK,Turkiye Bilimsel ve Teknik Arastirma Kurumu, 2021-01-21)
    In this paper, we study the Hilbert series of the tangent cone of Gorenstein monomial curves in the 4- dimensional affine space. We give an explicit formula for the reduced Hilbert series of the tangent cone of a ...
  • On the extremal points of the Λ-polytopes and classical simulation of quantum computation with magic states 

    Okay, Cihan; Zurel, M.; Raussendorf, R. (Rinton Press, Inc., 2021-11)
    We investigate the Λ-polytopes, a convex-linear structure recently defined and applied to the classical simulation of quantum computation with magic states by sampling. There is one such polytope, Λn, for every number n ...
  • Conics in sextic K3-Surface in P4 

    Degtyarev, Alex (Cambridge University Press, 2021-11-29)
    We prove that the maximal number of conics in a smooth sextic K3-surface X ⊂ P4 is 285, whereas the maximal number of real conics in a real sextic is 261. In both extremal configurations, all conics are irreducible.
  • Ricci solitons on singly warped product manifolds and applications 

    De, U. C.; Mantica, C. A.; Shenawy, S.; Ünal, Bülent (Elsevier BV * North-Holland, 2021-08)
    The purpose of this article is to study implications of a Ricci soliton warped product manifold to its base and fiber manifolds. First, it is proved that if a warped product manifold is Ricci soliton then its factors are ...
  • Duo property for rings by the quasinilpotent perspective 

    Harmancı, A.; Kurtulmaz, Yosum; Üngör, B. (Vasyl Stefanyk Precarpathian National University, 2021-03-16)
    In this paper, we focus on the duo ring property via quasinilpotent elements, which gives anew kind of generalizations of commutativity. We call this kind of ringsqnil-duo. Firstly, someproperties of quasinilpotents in a ...
  • φ (Ric)-vector fields on warped product manifolds and applications 

    Chand De, U.; Shenawy, S.; Ünal, Bülent (Springer, 2021-11)
    Sufficient and necessary conditions are provided on warped product manifolds and their base and fiber manifolds for a vector field φj to be a φ(Ric)-vector field , that is, ∇iφj=μRij where Rij is the Ricci tensor of M and ...
  • Daylight Saving Time policy and energy consumption 

    Küfeoğlu, S.; Üçler, Ş.; Eskicioğlu, F.; Öztürk, E. Büşra; Chen, H. (Elsevier BV, 2021-11)
    Daylight Saving Time is argued to be effective in saving energy. Turkey is one of the few countries that annulled the clock changes and remained in the summertime zone in 2016. Therefore, the country provides a unique ...
  • On the discretization of Darboux integrable systems admitting the second-order integrals 

    Zheltukhin, Kostyantyn; Zheltukhina, Natalya (Rossiiskaya Akademiya Nauk Ufimskii Nauchnyi Tsentr, Institut Matematiki s Vychislitel'nym Tsentrom, 2021)
    We consider a discretization problem for hyperbolic Darboux integrable systems. In particular, we discretize continuous systems admitting 𝑥- and 𝑦-integrals of the first and second order. Such continuous systems were ...

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