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ON THE OSCILLATION OF SECOND-ORDER NONLINEAR DELAY DYNAMIC EQUATIONS ON TIME SCALES

  • Zhang, Quanxin;Sogn, Xia;Gao, Li
    • Journal of applied mathematics & informatics
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    • v.30 no.1_2
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    • pp.219-234
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    • 2012
  • By using the generalized Riccati transformation and the inequality technique, we establish some new oscillation criterion for the second-order nonlinear delay dynamic equations $$(a(t)(x^{\Delta}(t))^{\gamma})^{\Delta}+q(t)f(x({\tau}(t)))=0$$ on a time scale $\mathbb{T}$, here ${\gamma}{\geq}1$ is the ratio of two positive odd integers with $a$ and $q$ real-valued positive right-dense continuous functions defined on $\mathbb{T}$. Our results not only extend and improve some known results, but also unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation.

Real-Time Surface Interpolator for Multiple Surface Machining Based on a Surface Cycle Command (복합 사이클 코드 지령 방식의 다중곡면 가공을 위한 실시간 곡면 보간기)

  • Koo, Tae-Hoon;Jee, Sung-Chul
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.8 s.197
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    • pp.97-107
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    • 2007
  • The present CNC machining system if without any CAM software has been limited to 2D or 2.5D plane cut using lines, arcs and curves. If the CNC is equipped with a surface interpolation module and a surface reorganizing module inside it, we can easily try 3D surface machining without aid of CAM software. The existing NURBS surface interpolator is simple and direct to use for a unit surface. However, it enables only machining of each reference surface individually even when machining a simple composite surface. In this paper, we propose a method which can unify and reorganize various reference surfaces with a newly defined NURBS surface cycle command: a multi-repetitive cycle command such as in a CNC turning center. We also introduce a reorganizing rule for reference surfaces using NURBS properties. The usefulness of the proposed method is verified through computer simulation.

A Study of Permanent Form System by Thin Precast Concrete Panel (II) (박판 프리캐스트 콘크리트 영구거푸집 시스템 연구 (II))

  • 남기룡;정문영;정문열;서치호;김윤일
    • Proceedings of the Korea Concrete Institute Conference
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    • 1997.10a
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    • pp.749-754
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    • 1997
  • Nowadays domestic building market has undergone several changes. Labor costs are too high and materials are in short supply. These raised building costs and therefore lowered productivity. At this point it is the best way to reduce manual labor and find alternative materials that can improve productivity. In the building process form work take the most part of it. So many formwork systems were developed to reduce the construction period and labor cost. But their technical improvements just limited to adjust form shape-the role of form is not changed. This research developed a new formwork systems that can function to unify or minimze the unit process with cast-in-place type permanent form. In former study (reported in '97 spring seminar), we did the assembling test with column and beam clamps. Furthermore, In this paper, we examined the total systems of form erections and evaluated the structural performances.

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WAVEs: A Novel and Promising Weapon in the Cancer Therapy Tool Box

  • Sakthivel, K.M.;Prabhu, V. Vinod;Guruvayoorappan, C.
    • Asian Pacific Journal of Cancer Prevention
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    • v.13 no.5
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    • pp.1719-1722
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    • 2012
  • The Wiskott-Aldrich Syndrome Protein family Verprolin - homologous proteins (WAVEs), encoded by a metastasis promoter gene, play considerable roles in adhesion of immune cells, cell proliferation, migration and destruction of foreign agents by reactive oxygen species. These diverse functions have lead to the hypothesis that WAVE proteins have multi-functional roles in regulating cancer invasiveness, metastasis, development of tumor vasculature and angiogenesis. Differentials in expression of WAVE proteins are associated with a number of neoplasms include colorectal cancer, hepatocellular cancer, lung squamous cell carcinoma, human breast adenocarcinoma and prostate cancer. In this review we attempt to unify our knowledge regarding WAVE proteins, focusing on their potentials as diagnostic markers and molecular targets for cancer therapy.

A Batch Arrival Queue with Bernoulli Vacation Schedule under Multiple Vacation Policy

  • Choudhury Gautam;Madan Kailash C.
    • Management Science and Financial Engineering
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    • v.12 no.2
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    • pp.1-18
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    • 2006
  • We consider an $M^x/G/1$ queueing system with Bernoulli vacation schedule under multiple vacation policy. where after each vacation completion or service completion the server takes sequence of vacations until a batch of new customer arrive. This generalizes both $M^x/G/1$ queueing system with multiple vacation as well as M/G/1 Bernoulli vacation model. We carryout an extensive analysis for the queue size distributions at various epochs. Further attempts have been made to unify the results of related batch arrival vacation models.

A Batch Arrival Queue with a Random Setup Time Under Bernoulli Vacation Schedule

  • Choudhury, Gautam;Tadj, Lotfi;Paul, Maduchanda
    • Management Science and Financial Engineering
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    • v.15 no.2
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    • pp.1-21
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    • 2009
  • We consider an $M^x/G/1$ queueing system with a random setup time under Bernoulli vacation schedule, where the service of the first unit at the completion of each busy period or a vacation period is preceded by a random setup time, on completion of which service starts. However, after each service completion, the server may take a vacation with probability p or remain in the system to provide next service, if any, with probability (1-p). This generalizes both the $M^x/G/1$ queueing system with a random setup time as well as the Bernoulli vacation model. We carryout an extensive analysis for the queue size distributions at various epochs. Further, attempts have been made to unify the results of related batch arrival vacation models.

APPROXIMATION OF NEAREST COMMON FIXED POINTS OF ASYMPTOTICALLY I-NONEXPANSIVE MAPPINGS IN BANACH SPACES

  • Cho, Yeol-Je;Hussain, Nawab;Pathak, Hemant Kumar
    • Communications of the Korean Mathematical Society
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    • v.26 no.3
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    • pp.483-498
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    • 2011
  • In this paper, we introduce a new class of uniformly point-wise R-subweakly commuting self-mappings and prove several common fixed point theorems and best approximation results for uniformly point-wise R-subweakly commuting asymptotically I-nonexpansive mappings in normed linear spaces. We also establish some results concerning strong convergence of nearest common fixed points of asymptotically I-non-expansive mappings in reflexive Banach spaces with a uniformly G$\^{a}$teaux differentiable norm. Our results unify and generalize various known results given by some authors to a more general class of noncommuting mappings.

ON SOLVABILITY OF GENERALIZED NONLINEAR VARIATIONAL-LIKE INEQUALITIES

  • Zhang, Lili;Liu, Zeqing;Kang, Shin-Min
    • Journal of the Korean Mathematical Society
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    • v.45 no.1
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    • pp.163-176
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    • 2008
  • In this paper, we introduce and study a new class of generalized nonlinear variational-like inequalities. By employing the auxiliary principle technique we suggest an iterative algorithm to compute approximate solutions of the generalized nonlinear variational-like inequalities. We discuss the convergence of the iterative sequences generated by the algorithm in Banach spaces and prove the existence of solutions and convergence of the algorithm for the generalized nonlinear variational-like inequalities in Hilbert spaces, respectively. Our results extend, improve and unify several known results due to Ding, Liu et al, and Zeng, and others.

RESOURCE ORIENTED ARCHITECTURE FOR MUTIMEDIA SENSOR NETWORKS IWAIT2009

  • Iwatani, Hiroshi;Nakatsuka, Masayuki;Takayanagi, Yutaro;Katto, Jiro
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2009.01a
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    • pp.456-459
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    • 2009
  • Sensor network has been a hot research topic for the past decade and has moved its phase into using multimedia sensors such as cameras and microphones [1]. Combining many types of sensor data will lead to more accurate and precise information of the environment. However, the use of sensor network data is still limited to closed circumstances. Thus, in this paper, we propose a web-service based framework to deploy multimedia sensor networks. In order to unify different types of sensor data and also to support heterogeneous client applications, we used ROA (Resource Oriented Architecture [2]).

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A Study on Uniformity of Current Distribution in Hull Cell (Hull Cell에서 전류분포의 균일화에 관한 연구)

  • 여운관
    • Journal of the Korean institute of surface engineering
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    • v.27 no.6
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    • pp.340-346
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    • 1994
  • The method of uniforming current distribution in Hull cell are studied by using auxiliary anode, current shield bipolar electrode, and combinings bipolar electrode with current shield in order to find a way of uni-form deposition. The current density distributions are measured by each ammeter of the same inner resistance connected to divided cathode pannel respectively. The current density distributions of cathode electrode divided into five sections with 5mm width have a tendency of linear inclination, and that of twenty sections have a tendency of smoother curve than the curve of original Hull cell pannel. Their results showed lower value on the high current density portion and higher value on the low portion than that original Hull cell pannel. The current distribution in Hull cell is able to unify by using auxiliary anode, or combining bipo-lar electrode with current shield, but not efficient in using one of both individually.

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