http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Karpuz, Basak,Ocalan, Ozkan Korean Mathematical Society 2010 대한수학회보 Vol.47 No.2
In this paper, we introduce an iterative method to study oscillatory properties of delay difference equations of the following form ${\nabla}_{\alpha}\;[x(t)\;-\;r(t)x(t\;-\;k)]\;+\;p(t)x(t\;-\;{\tau})\;-\;q(t)x(t\;-\;{\sigma})\;=\;0$, $t\;{\geq}\;t_0$, where $t_0\;{\in}\;\mathbb{R}$, t varies in the real interval ($t_0,\;{\infty}$), $\alpha$ > 0, $\kappa$, $\tau$, ${\sigma}\;{\geq}\;0$, $r\;{\in}\;C\;([t_0-{\alpha},\;{\infty}),\;\mathbb{R}^+$, p, $q\;{\in}\;C\;([t_0,\;{\infty}),\;\mathbb{R}^+)$ and ${\nabla}_{\alpha}x(t)\;=\;x(t)\;-\;x(t\;-\;{\alpha})$ for $t\;{\geq}\;t_0$.
BasŞak Karpuz,Özkan Öcalan 대한수학회 2010 대한수학회보 Vol.47 No.2
In this paper, we introduce an iterative method to study oscillatory properties of delay difference equations of the following form ∇α [x (t) − r (t) x (t − κ)] + p (t) x (t − τ) − q (t) x (t − σ) = 0, t ≥ t0,where t0 ∈ R, t varies in the real interval [t0,∞), α > 0, κ, τ, σ ≥ 0,r ∈ C([t0 − α,∞) ,R+), p, q ∈ C([t0,∞) ,R+) and ∇αx (t) = x (t) −x (t − α) for t ≥ t0.
On the solvability of word problem by Adian graphs
E. G. Karpuz,A. S. Çevik 장전수학회 2012 Advanced Studies in Contemporary Mathematics Vol.22 No.2
The purpose of this paper is to determine some forms of the relations in a nite semigroup presentation with zero deciency which have solvable word problem via Adian graphs.
Gröbner-Shirshov bases and embedding of a semigroup in a group
E. G. Karpuz,A. S. Cevik,F. Ates,J. Koppitz 장전수학회 2015 Advanced Studies in Contemporary Mathematics Vol.25 No.4
The main goal of this paper is to show that if a group G has a Gröbner-Shirshov basis that satisfies the condition R+, then the semigroup P having positive rules in < as a dening relation embeds in this group G. As a corollary of our result, we obtain that the semigroup B+ n+1 of braids can be embedded in the braid group. The main goal of this paper is to show that if a group G has a Grobner-Shirshov basis that satisfies the condition R+, then the semigroup P having positive rules in < as a dening relation embeds in this group G. As a corollary of our result, we obtain that the semigroup B+ n+1 of braids can be embedded in the braid group.
Salih Çölmekçi,Ali Karpuz,Hakan Köçkar 한국화학공학회 2022 Korean Journal of Chemical Engineering Vol.39 No.7
Nickel-containing magnetic films have become the focus of attention due to their outstanding properties. These films are produced by many methods, including the sputtering technique. In this study, structural and magneticproperties of Ni/Cu multilayer films with different (from 92.5 nm to 17.5 nm) thicknesses of the Ni layers were investigated. The magnetron sputtering process was used to produce the Ni/Cu multilayer films. X-ray diffraction analysisshowed that the films have a face-centered cubic structure with (111) plane. According to the scanning electron microscopeimages, while the films with the Ni layers thicknesses of 92.5 nm and 42.5 nm have some cracks and row structureson their surfaces, the films with lower thicknesses of the Ni layers have relatively more regular surfaces. As the Nilayers thickness decreased, the saturation magnetization (Ms) decreased from 617 emu/cm3 to 387 emu/cm3. Althoughthe Ni/Cu multilayer with the Ni layer thickness of 92.5 nm had the highest atomic Ni content (76%); its coercivity (Hc)value was also the highest with 144 Oe. There was a decrease in the Hc value and grain size with decreasing the Nilayer thickness and the change in the Hc value can be related to the film content and surface morphology. The remanentmagnetization (Mr) value changed between 492 emu/cm3 and 105 emu/cm3 with the reducing the Ni layers thickness. The highest Mr value and the highest Mr/Ms ratio were obtained for the Ni/Cu film with the Ni layers thickness of42.5 nm. This Ni/Cu film has also the highest magnetization energy. The detected magnetic properties make this filmdesirable for permanent magnet and magnetic recording applications among the investigated Ni/Cu multilayers.
ON THE GEOMETRY OF THE CROSSED PRODUCT OF GROUPS
Ates, Firat,Cevik, Ahmet Sinan,Karpuz, Eylem Guzel Korean Mathematical Society 2021 대한수학회보 Vol.58 No.5
In this paper, firstly, we work on the presentation of the crossed product of groups of general types. After that we find the generating pictures (Second Homotopy Group) of this product by looking the relations from a geometric viewpoint. Finally, we give some applications.