• Title/Summary/Keyword: Modified C-space

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Comparison of access window created by cervical ventral slot and modified slanted ventral slot in canine cadaver

  • Kang, Ho Young;Kang, Jinsu;Lee, Haebeom;Kim, Namsoo;Heo, Suyoung
    • Korean Journal of Veterinary Research
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    • v.60 no.3
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    • pp.139-144
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    • 2020
  • Ten cadavers were studied to compare the accessibility of cervical vertebral canal with conventional standard ventral slot and modified slanted ventral slot. One group performed standard ventral slot procedures at the C3-4, C5-6. The other group performed modified slanted ventral slot with inverted cone technique procedures at the C3-4, C5-6 computed tomography was performed before and after surgery. The accessibility of cervical vertebral canal with conventional standard ventral slot and modified slanted ventral slot using computed tomography in C3-4 and C5-6 intervertebral space was compared. Although smaller ostectomy was performed in the modified slanted ventral slot, some lesions were more accessible but limitations were obvious in C3-4 and C5-6 intervertebral disk space. After the disc material has been identified through accurate preoperative diagnostic imaging, less morbidity and complications can be expected if the appropriate surgical method is selected based on the lesion of compression.

GENERALIZED WHITE NOISE FUNCTIONALS ON CLASSICAL WIENER SPACE

  • Lee, Yuh-Jia
    • Journal of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.613-635
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    • 1998
  • In this note we reformulate the white noise calculus on the classical Wiener space (C', C). It is shown that most of the examples and operators can be redefined on C without difficulties except the Hida derivative. To overcome the difficulty, we find that it is sufficient to replace C by L$_2$[0,1] and reformulate the white noise on the modified abstract Wiener space (C', L$_2$[0, 1]). The generalized white noise functionals are then defined and studied through their linear functional forms. For applications, we reprove the Ito formula and give the existence theorem of one-side stochastic integrals with anticipating integrands.

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STRONG CONVERGENCE OF MODIFIED ISHIKAWA ITERATES FOR ASYMPTOTICALLY NONEXPANSIVE MAPS WITH NEW CONTROL CONDITIONS

  • Eldred, A. Anthony;Mary, P. Julia
    • Communications of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.1271-1284
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    • 2018
  • In this paper, we establish strong convergence of the modified Ishikawa iterates of an asymptotically non expansive self-mapping of a nonempty closed bounded and convex subset of a uniformly convex Banach space under a variety of new control conditions.

STRONG CONVERGENCE OF THE MODIFIED HYBRID STEEPEST-DESCENT METHODS FOR GENERAL VARIATIONAL INEQUALITIES

  • Yao, Yonghong;Noor, Muhammad Aslam
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.179-190
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    • 2007
  • In this paper, we consider the general variational inequality GVI(F, g, C), where F and g are mappings from a Hilbert space into itself and C is the fixed point set of a nonexpansive mapping. We suggest and analyze a new modified hybrid steepest-descent method of type method $u_{n+l}=(1-{\alpha}+{\theta}_{n+1})Tu_n+{\alpha}u_n-{\theta}_{n+1g}(Tu_n)-{\lambda}_{n+1}{\mu}F(Tu_n),\;n{\geq}0$. for solving the general variational inequalities. The sequence $\{x_n}\$ is shown to converge in norm to the solutions of the general variational inequality GVI(F, g, C) under some mild conditions. Application to constrained generalized pseudo-inverse is included. Results proved in the paper can be viewed as an refinement and improvement of previously known results.

S-ITERATION PROCESS FOR ASYMPTOTIC POINTWISE NONEXPANSIVE MAPPINGS IN COMPLETE HYPERBOLIC METRIC SPACES

  • Atsathi, Thikamporn;Cholamjiak, Prasit;Kesornprom, Suparat;Prasong, Autchara
    • Communications of the Korean Mathematical Society
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    • v.31 no.3
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    • pp.575-583
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    • 2016
  • In this paper, we study the modified S-iteration process for asymptotic pointwise nonexpansive mappings in a uniformly convex hyperbolic metric space. We then prove the convergence of the sequence generated by the modified S-iteration process.

Effects of Pre-formed Space Charges by Negative DC Voltages on PD Characteristics in XLPE (부극성 직류전압에 의해 사전 형성된 공간전하가 XLPE의 부분방전특성에 미치는 영향)

  • 황보승;이준호
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.52 no.7
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    • pp.310-313
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    • 2003
  • The purpose of this paper is to evaluate the effects of pre-formed space charges by DC stress on partial discharge(PD) characteristics in XLPE. We have suggested a modified pulsed electro-acoustic(PEA) method and successfully measured both space charge distribution and current simultaneously. It has been demonstrated that the PD patterns are strongly influenced by the pre-formed space charge distributions, which are hardly disappeared up to AC 8㎸ in electrode configuration including air gap between XLPE layer and electrode. From the results, it could be said that the pre-formed space charges by DC stress can play harmful and dangerous roles in insulating system under AC operating voltages because of the field distortion and localization due to the pre-formed space charge.

BOUNDARY-VALUED CONDITIONAL YEH-WIENER INTEGRALS AND A KAC-FEYNMAN WIENER INTEGRAL EQUATION

  • Park, Chull;David Skoug
    • Journal of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.763-775
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    • 1996
  • For $Q = [0,S] \times [0,T]$ let C(Q) denote Yeh-Wiener space, i.e., the space of all real-valued continuous functions x(s,t) on Q such that x(0,t) = x(s,0) = 0 for every (s,t) in Q. Yeh [10] defined a Gaussian measure $m_y$ on C(Q) (later modified in [13]) such that as a stochastic process ${x(s,t), (s,t) \epsilon Q}$ has mean $E[x(s,t)] = \smallint_{C(Q)} x(s,t)m_y(dx) = 0$ and covariance $E[x(s,t)x(u,\upsilon)] = min{s,u} min{t,\upsilon}$. Let $C_\omega \equiv C[0,T]$ denote the standard Wiener space on [0,T] with Wiener measure $m_\omega$. Yeh [12] introduced the concept of the conditional Wiener integral of F given X, E(F$\mid$X), and for case X(x) = x(T) obtained some very useful results including a Kac-Feynman integral equation.

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HADAMARD-TYPE FRACTIONAL CALCULUS

  • Anatoly A.Kilbas
    • Journal of the Korean Mathematical Society
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    • v.38 no.6
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    • pp.1191-1204
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    • 2001
  • The paper is devoted to the study of fractional integration and differentiation on a finite interval [a, b] of the real axis in the frame of Hadamard setting. The constructions under consideration generalize the modified integration $\int_{a}^{x}(t/x)^{\mu}f(t)dt/t$ and the modified differentiation ${\delta}+{\mu}({\delta}=xD,D=d/dx)$ with real $\mu$, being taken n times. Conditions are given for such a Hadamard-type fractional integration operator to be bounded in the space $X^{p}_{c}$(a, b) of Lebesgue measurable functions f on $R_{+}=(0,{\infty})$ such that for c${\in}R=(-{\infty}{\infty})$, in particular in the space $L^{p}(0,{\infty})\;(1{\le}{\le}{\infty})$. The existence almost every where is established for the coorresponding Hadamard-type fractional derivative for a function g(x) such that $x^{p}$g(x) have $\delta$ derivatives up to order n-1 on [a, b] and ${\delta}^{n-1}[x^{\mu}$g(x)] is absolutely continuous on [a, b]. Semigroup and reciprocal properties for the above operators are proved.

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Distalization with a modified C-palatal plate for severe upper crowding and a missing lower incisor

  • Park, Jae Hyun;Saito, Traci;Yoo, Sun Kyong;Alfaifi, Mohammed;Kook, Yoon-Ah
    • The korean journal of orthodontics
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    • v.50 no.1
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    • pp.52-62
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    • 2020
  • This case report presents the orthodontic treatment of a 25-year-old patient with skeletal Class II and severe maxillary arch crowding, moderate mandibular arch crowding, anterior crossbite, and a missing lower incisor. He was treated with molar distalization using a modified C-palatal plate and temporary anchorage devices to create sufficient space for retraction. The total treatment duration was 21 months. After treatment, his occlusion and smile esthetics showed significant improvement. The modified C-palatal plate represents a treatment modality that enhances the prospects of non-extraction treatment and reduces the need for extraction.

RCS Numerical Simulation of Stealth Modified Three-Surface Aircraft

  • Cheng, Liangliang;Yue, Kuizhi;Xing, CuiFang;Yu, Dazhao
    • International Journal of Aeronautical and Space Sciences
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    • v.17 no.1
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    • pp.101-108
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    • 2016
  • The RCS characteristics of stealth modified three-surface aircraft are analyzed in this paper. Prototype A is built with CATIA software and the three-dimensional digital models of modified stealth three-surface B and C are also designed based on carrier-based aircraft Su-33; the numerical simulation of RCS characteristics of three-surface aircraft is conducted with RCSAnsys software based on physical optics method and the method of equivalent currents; The following results are obtained by comparative analysis and mathematical statistics: (1) by the use of physical optics method and equivalent electromagnetic current method, the scattering intensity for each part of the model and RCS characteristic of the aircraft can be analyzed efficiently and accurately; (2) compared with model A, the mean RCS value of model B is reduced to 14.1% in forward direction and 48.1% in lateral direction; (3) compared with model A, the mean RCS value of model C decreases to 11.4% in forward direction and 21.6% in lateral direction. The results are expected to provide theoretical basis and technical support to the conceptual design of aircraft and stealth technology research.