Yazar "Işık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümü" için listeleme
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Bicocycle double cross constructions
Esen, Oğul; Guha, Partha; Sütlü, Serkan (World Scientific, 2023-12-01)We introduce the notion of a bicocycle double cross product (sum) Lie group (algebra), and a bicocycle double cross product bialgebra, generalizing the unified products. On the level of Lie groups the construction yields ... -
Cohomologies and generalized derivations of n-Lie algebras
Ateşli, Begüm; Esen, Oğul; Sütlü, Serkan (Electronic Journals Project, 2022)A cohomology theory associated to an n-Lie algebra and a representation space of it is introduced. It is shown that this cohomology theory classifies generalized derivations of n-Lie algebras as 1-cocycles, and inner ... -
Constant angle surfaces in the Lorentzian warped product manifold I ×f E²1
Dursun, Uğur (Tübitak, 2022-09-14)Let I ×f E²1 be a 3-dimensional Lorentzian warped product manifold with the metric g˜ = dt² + f² (t)(dx² − dy² ), where I is an open interval, f is a strictly positive smooth function on I, and E²1 is the Minkowski 2-plane. ... -
Graph surfaces invariant by parabolic screw motions with constant curvature in H²×R
Dursun, Uğur (DergiPark, 2023-04-30)In this work we study vertical graph surfaces invariant by parabolic screw motions with pitch ℓ > 0 and constant Gaussian curvature or constant extrinsic curvature in the product space H² × R. In particular, we determine ... -
Harmonic resonance phenomena on nonlinear SH waves
Ahmetolan, Semra; Özdemir, Neşe; Peker Dobie, Ayşe; Demirci, Ali (Işık University Press, 2023-04)The interaction of shear horizontal (SH) waves in a two layered elastic medium and its mth harmonic component is studied. The dispersion relation is analysed to obtain the wave number-phase velocity pairs where the third ... -
Matching of cocycle extensions for second tangent groups
Uçgun, Filiz Çağatay; Esen, Oğul; Sütlü, Serkan (American Institute of Physics Inc., 2022-11-07)We present the second-order tangent group of a Lie group as a cocycle extension of the first-order tangent group. We exhibit matching of the second-order tangent groups of two mutually interacting Lie groups. We examine ... -
Modeling repair demand in existence of a nonstationary installed base
Hekimoğlu, Mustafa; Karlı, Deniz (Elsevier B.V., 2023-09)Life cycles of products consist of 3 phases, namely growth, maturity, and decline phases. Modeling repair demand is particularly difficult in the growth and decline stages due to nonstationarity. In this study, we suggest ... -
On Caputo fractional Bertrand curves in E3 and E31
Taşdemir, Mert; Canfes, Elif Özkara; Uzun, Banu (Univ Nis, Fac Sci Math, 2024)In this article, we examine Bertrand curves in E3 and E31 by using the Caputo fractional derivative which we call alpha-Bertrand Curves. First, we consider alpha-Bertrand curves in E3 and we give a characterization of them. ... -
Optimization of wastewater treatment systems for growing industrial parks
Savun Hekimoğlu, Başak; İşler, Zülal; Hekimoğlu, Mustafa; Burak, Selmin; Karlı, Deniz; Yücekaya, Ahmet; Akpınar, Ersin; Ediger, Volkan Ş. (Elsevier B.V., 2023-12-20)Wastewater treatment is one of the crucial functions of industrial parks as wastewater from industrial facilities usually contains toxic compounds that can cause damage to the environment. To control their environmental ... -
Tulczyjew's triplet with an Ehresmann connection I: Trivialization and reduction
Esen, Oğul; Kudeyt, Mahmut; Sütlü, Serkan (World Scientific, 2023-03-30)We study the trivialization and the reduction of Tulczyjew's triplet, in the presence of a symmetry and an Ehresmann connection associated to it. We thus establish a geometric pathway for the Legendre transformations on ...