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A NEW DESCRIPTION OF SPHERICAL IMAGES ASSOCIATED WITH MINIMAL CURVES IN THE COMPLEX SPACE ℂ4

  • Yilmaz, Suha;Unluturk, Yasin
    • Honam Mathematical Journal
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    • v.44 no.1
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    • pp.121-134
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    • 2022
  • In this study, we obtain the spherical images of minimal curves in the complex space in ℂ4 which are obtained by translating Cartan frame vector fields to the centre of hypersphere, and present their properties such as becoming isotropic cubic, pseudo helix, and spherical involutes. Also, we examine minimal curves which are characterized by a system of differential equations.

COINCIDENCE POINT RESULTS FOR (𝜙, 𝜓)-WEAK CONTRACTIVE MAPPINGS IN CONE 2-METRIC SPACES

  • Islam, Ziaul;Sarwar, Muhammad;Tunc, Cemil
    • Honam Mathematical Journal
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    • v.43 no.2
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    • pp.305-323
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    • 2021
  • In the present paper, utilizing (𝜙, 𝜓)-weak contractive conditions, unique fixed point and some coincidence point results have been studied in the context of cone 2- metric spaces. Also, our obtained results generalize some results from cone metric space to cone 2-metric space. For the authenticity of the presented work, a non trivial example is also provided.

CHEN INEQUALITIES ON LIGHTLIKE HYPERSURFACES OF A LORENTZIAN MANIFOLD WITH SEMI-SYMMETRIC NON-METRIC CONNECTION

  • Poyraz, Nergiz (Onen)
    • Honam Mathematical Journal
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    • v.44 no.3
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    • pp.339-359
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    • 2022
  • In this paper, we investigate k-Ricci curvature and k-scalar curvature on lightlike hypersurfaces of a real space form ${\tilde{M}}$(c) of constant sectional curvature c, endowed with semi-symmetric non-metric connection. Using this curvatures, we establish some inequalities for screen homothetic lightlike hypersurface of a real space form ${\tilde{M}}$(c) of constant sectional curvature c, endowed with semi-symmetric non-metric connection. Using these inequalities, we obtain some characterizations for such hypersurfaces. Considering the equality case, we obtain some results.

DISCUSSION ON b-METRIC SPACES AND RELATED RESULTS IN METRIC AND G-METRIC SPACES

  • Bataihah, Anwar;Qawasmeh, Tariq;Shatnawi, Mutaz
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.2
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    • pp.233-247
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    • 2022
  • In the present manuscript, we employ the concepts of Θ-map and Φ-map to define a strong (𝜃, 𝜙)s-contraction of a map f in a b-metric space (M, db). Then we prove and derive many fixed point theorems as well as we provide an example to support our main result. Moreover, we utilize our results to obtain many results in the settings of metric and G-metric spaces. Our results improve and modify many results in the literature.

Quantum transport of doped rough-edged graphene nanoribbons FET based on TB-NEGF method

  • K.L. Wong;M.W. Chuan;A. Hamzah;S. Rusli;N.E. Alias;S.M. Sultan;C.S. Lim;M.L.P. Tan
    • Advances in nano research
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    • v.17 no.2
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    • pp.137-147
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    • 2024
  • Graphene nanoribbons (GNRs) are considered a promising alternative to graphene for future nanoelectronic applications. However, GNRs-based device modeling is still at an early stage. This research models the electronic properties of n-doped rough-edged 13-armchair graphene nanoribbons (13-AGNRs) and quantum transport properties of n-doped rough-edged 13-armchair graphene nanoribbon field-effect transistors (13-AGNRFETs) at different doping concentrations. Step-up and edge doping are used to incorporate doping within the nanostructure. The numerical real-space nearest-neighbour tight-binding (NNTB) method constructs the Hamiltonian operator matrix, which computes electronic properties, including the sub-band structure and bandgap. Quantum transport properties are subsequently computed using the self-consistent solution of the two-dimensional Poisson and Schrödinger equations within the non-equilibrium Green's function method. The finite difference method solves the Poisson equation, while the successive over-relaxation method speeds up the convergence process. Performance metrics of the device are then computed. The results show that highly doped, rough-edged 13-AGNRs exhibit a lower bandgap. Moreover, n-doped rough-edged 13-AGNRFETs with a channel of higher doping concentration have better gate control and are less affected by leakage current because they demonstrate a higher current ratio and lower off-current. Furthermore, highly n-doped rough-edged 13-AGNRFETs have better channel control and are less affected by the short channel effect due to the lower value of subthreshold swing and drain-induced barrier lowering. The inclusion of dopants enhances the on-current by introducing more charge carriers in the highly n-doped, rough-edged channel. This research highlights the importance of optimizing doping concentrations for enhancing GNRFET-based device performance, making them viable for applications in nanoelectronics.

Speed Sensorless DC Motor Using Kalman Filter

  • Whamook, Naramit;Yimman, Surapan;Puangpool, Manoon;Chivapreecha, Sorawat;Dejhan, Kobchai
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.561-564
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    • 2004
  • This paper proposes a new application of Kalman filter to estimate speed sensorless DC motor. Kalman filter can estimate the system state variables accurately; even the system input is disturbed with noise. In the design, the mathematical model of DC motor in discrete state-space form will be created; the speed of DC motor which is considered as state variable and can be estimated by using Kalman filter. In the experiment; TMS320C31 floating point digital signal processor is used for hardware implementation, the input is disturbed with/and without white noise in the experiment. The experimental results show the speed of DC motor which is estimated by Kalman filter has good accuracy when compared with the results from tacho-meter.

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Study on Neutralization Progress Model of Concrete with Coating Finishing Materials in Outdoor Exposure Conditions Based on the Diffusion Reaction of Calcium Hydroxide

  • Park, Jae-Hong;Hasegawa, Takuya;Senbu, Osamu;Park, Dong-Cheon
    • International Journal of Concrete Structures and Materials
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    • v.6 no.3
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    • pp.155-163
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    • 2012
  • In order to predict the neutralization of concrete which is the reaction of carbonation dioxide from the outside and cement hydration product, such as calcium hydroxide and C-S-H, it was studied the numerical analysis method considering change of the pore structure and relative humidity during the neutralization reaction. Diffusion-reaction neutralization model was developed to predict the neutralization depth of concrete with coating finishing material. In order to build numerical analysis models considering outdoor environment and finishing materials, the adaption of proposed model was shown the results of existing outdoor exposure test results and accelerated carbonation test.

CHARACTERIZATION OF RELATIVELY DEMICOMPACT OPERATORS BY MEANS OF MEASURES OF NONCOMPACTNESS

  • Jeribi, Aref;Krichen, Bilel;Salhi, Makrem
    • Journal of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.877-895
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    • 2018
  • In this paper, we show that an unbounded $S_0$-demicompact linear operator T with respect to a bounded linear operator $S_0$, acting on a Banach space, can be characterized by the Kuratowskii measure of noncompactness. Moreover, some other quantities related to this measure provide sufficient conditions to the operator T to be $S_0$-demicompact. The obtained results are used to discuss the connection with Fredholm and upper Semi-Fredholm operators.

Management of obstructive sleep apnea in a Treacher Collins syndrome patient using distraction osteogenesis of the mandible

  • Damlar, Ibrahim;Altan, Ahmet;Turgay, Berk;Kilic, Soydan
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • v.42 no.6
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    • pp.388-392
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    • 2016
  • In this study, we present the surgical treatment of obstructive sleep apnea in a child with Treacher Collins syndrome. A 10-year-old girl with a past history of Treacher Collins syndrome presented to our clinic with her parents for respiratory distress and insomnia. The patient was referred to a sleep laboratory where she was diagnosed with obstructive sleep apnea, which was a consequence of her Treacher Collins syndrome. The patient underwent mandibular distraction osteogenesis under general anesthesia. The mandible was expanded by 15 mm using internal bilateral distractors. After distraction osteogenesis, the patient's respiratory problems resolved, and she was able to sleep comfortably. Distraction osteogenesis was an effective method of advancing the mandible, increasing the upper airway space and ultimately preventing obstructive sleep apnea syndrome in patients with Treacher Collins syndrome.

Electrical Conduction and Resistance Switching Mechanisms of Ag/ZnO/Ti Structure

  • Nguyen, Trung Do;Pham, Kim Ngoc;Tran, Vinh Cao;TuanNguyen, Duy Anh;Phan, Bach Thang
    • Journal of IKEEE
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    • v.17 no.3
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    • pp.229-233
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    • 2013
  • We investigated electrical conduction and resistance switching behavior of the Ag/ZnO/Ti structures for random access memory devices. These films were prepared on glass substrate by dc sputtering technique at room temperature. The resistance switching follows unipolar switching mode with small switching voltages (0.4 V - 0.6 V). Two electrical conduction mechanisms dominating the LRS and HRS are Ohmic and trap-controlled space charge limited current, respectively. These both conductions are consistent with the filamentary model. Based on the filamentary model, the switching mechanism was also interpreted.