• Title/Summary/Keyword: smooth

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CONVERGENCE OF DOUBLE SERIES OF RANDOM ELEMENTS IN BANACH SPACES

  • Tien, Nguyen Duy;Dung, Le Van
    • Journal of the Korean Mathematical Society
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    • v.49 no.5
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    • pp.1053-1064
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    • 2012
  • For a double array of random elements $\{X_{mn};m{\geq}1,n{\geq}1\}$ in a $p$-uniformly smooth Banach space, $\{b_{mn};m{\geq}1,n{\geq}1\}$ is an array of positive numbers, convergence of double random series ${\sum}^{\infty}_{m=1}{\sum}^{\infty}_{n=1}X_{mn}$, ${\sum}^{\infty}_{m=1}{\sum}^{\infty}_{n=1}b^{-1}_{mn}X_{mn}$ and strong law of large numbers $$b^{-1}_{mn}\sum^m_{i=1}\sum^n_{j=1}X_{ij}{\rightarrow}0$$ as $$m{\wedge}n{\rightarrow}{\infty}$$ are established.

ITERATIVE REWEIGHTED ALGORITHM FOR NON-CONVEX POISSONIAN IMAGE RESTORATION MODEL

  • Jeong, Taeuk;Jung, Yoon Mo;Yun, Sangwoon
    • Journal of the Korean Mathematical Society
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    • v.55 no.3
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    • pp.719-734
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    • 2018
  • An image restoration problem with Poisson noise arises in many applications of medical imaging, astronomy, and microscopy. To overcome ill-posedness, Total Variation (TV) model is commonly used owing to edge preserving property. Since staircase artifacts are observed in restored smooth regions, higher-order TV regularization is introduced. However, sharpness of edges in the image is also attenuated. To compromise benefits of TV and higher-order TV, the weighted sum of the non-convex TV and non-convex higher order TV is used as a regularizer in the proposed variational model. The proposed model is non-convex and non-smooth, and so it is very challenging to solve the model. We propose an iterative reweighted algorithm with the proximal linearized alternating direction method of multipliers to solve the proposed model and study convergence properties of the algorithm.

SOME RESULTS ON STABLE f-HARMONIC MAPS

  • Embarka, Remli;Cherif, Ahmed Mohammed
    • Communications of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.935-942
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    • 2018
  • In this paper, we prove that any stable f-harmonic map from sphere ${\mathbb{S}}^n$ to Riemannian manifold (N, h) is constant, where f is a smooth positive function on ${\mathbb{S}}^n{\times}N$ satisfying one condition with n > 2. We also prove that any stable f-harmonic map ${\varphi}$ from a compact Riemannian manifold (M, g) to ${\mathbb{S}}^n$ (n > 2) is constant where, in this case, f is a smooth positive function on $M{\times}{\mathbb{S}}^n$ satisfying ${\Delta}^{{\mathbb{S}}^n}(f){\circ}{\varphi}{\leq}0$.

Development of Multi-Porous Diamond Wheel for Smooth and Mirror Finishing of Die Materials (금형재료의 정밀연삭을 위한 다기공 다이아몬드 숫돌의 개발)

  • 허성중
    • Journal of the Korean Professional Engineers Association
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    • v.30 no.6
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    • pp.144-152
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    • 1997
  • Development of diamond wheel with fine grains and multi-pore structures were newely attempted to be studied in this paper. Wheels, that are employed for the smooth and mirrow finishing of die materials such as tungsten carbide alloy using tool and die materials, must have both performances to remove tool marks efficiently and to contact elastically with curved surfaces. Diamond abrasive grains were bonded firmly by a melamine to prevent the decrease of machining efficiency due to grain sinking within the bond materials. Also, highly foamed structures were developed to increase the flexibility of the wheel, and to induce active self-sharpening by increasing contact pressure between the wheel and work sufaces. In this paper, melamine-bonded diamond wheels are trial manufactured, then the forming method of wheels are explained.

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A Hydraulic-Oil Pump System using SR Drive with a Direct Torque Control Scheme

  • Lee, Dong-Hee;Kim, Tae-Hyoung;Ahn, Jin-Woo
    • Journal of Power Electronics
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    • v.9 no.3
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    • pp.491-498
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    • 2009
  • The hydraulic-oil pump is widely used for building machinery, brake systems of vehicles and automatic control systems due to its high dynamic force and smooth linear force control performance. This paper presents a novel direct instantaneous pressure control of the hydraulic pump system with SRM drive. The proposed hydraulic pump system embeds the pressure controller and direct instantaneous torque controller. Due to the proportional relationship between pump pressure and torque, pressure can be controlled by the motor torque directly. The proposed direct torque controller can reduce inherent torque ripple of SRM, and develop a smooth torque, which can increase the stability of the hydraulic pump. The proposed hydraulic pump system has also fast step response and load response. The proposed hydraulic pump system is verified by computer simulation and experimental results.

Inhibitory Effect of Rat Aortic Vascular Smooth Muscle Cell Proliferation by Luteolin

  • Kim, Jin-Ho;Kim, Soo-Yeon;Lim, Yong;Park, Byeoung-Soo;Pyo, Hyeong-Bae;Yoo, Hwan-Soo;Yun, Yeo-Pyo
    • Proceedings of the PSK Conference
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    • 2003.04a
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    • pp.136.2-137
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    • 2003
  • It was previously reported that luteolin, a flavone compound, displayed the potent anti-oxidant and anti-inflammatory effects, which have also been successful in reducing vascular smooth muscle cells(VSMCs) proliferation after arterial injury. Proliferation of VSMCs plays an important role in development of astherosclerosis. In this study, a possible anti-proliferative effect and its mechanism on rat aortic VSMCs by luteolin was investigated. (omitted)

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Characteristics of Fluid Flow in the Fluidized Bed Shell and Tube Type Heat Exchanger with Corrugated Tubes

  • Ahn Soo Whan;Bae Sung Taek;Kim Myoung Ho
    • International Journal of Air-Conditioning and Refrigeration
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    • v.12 no.4
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    • pp.198-205
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    • 2004
  • An experimental study was carried on the characteristics of fluid flow and heat transfer in a fluidized bed shell-and-tube type heat exchanger with corrugated tubes. Seven different solid particles having same volume were circulated in the tubes. The effects of vari­ous parameters such as water flow rates, particle geometries and materials, and geometries of corrugated tubes on relative velocities and drag coefficients were investigated. The present work showed that the drag force coefficients of particles in the corrugated tubes were usually lower than those in the smooth tubes, meanwhile the relative velocities between particles and water in the corrugated tubes were little higher than those in the smooth tubes except the particles of glasses.

Experiments on Condensation Heat Transfer Characteristics and Flow Regime Inside Microfin Tubes (마이크로핀관내 유동 양식과 응축 열전달 특성 연구)

  • 한동혁;이규정
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.13 no.7
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    • pp.602-611
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    • 2001
  • Experiments on the condensation heat transfer characteristics inside a smooth and a microfin tube with R410A/R22 are performed in this study. The test tubes 7/9.52 mm in outside diameters and 3m in length are used. Varying the mass flux of the refrigerant and the condensation temperatures, the average heat transfer coefficients and pressure drop are investigated. Most flows in this study are in the annular and/or wavy flow regime. It is shown that the heat transfer is enhanced and the pressure drops are larger in the microfin tube than the smooth tube. From the heat transfer enhancement coefficients and the pressure drops, it is found that the high heat transfer enhancement factors are obtained in the range of small mass flux while the penalty factors are almost equal. Experiments results show that average heat transfer coefficients of R410A is larger than that of R22 and pressure drop of R410A is less than R22.

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CAD for styling design

  • Park, Sehyung;Lee, Chong-won;Kim, Jin-oh
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10a
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    • pp.780-785
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    • 1987
  • The measuring point data of clay model are widely used to design parts whose external features are important design factor such as automobiles and general die products. This paper presents a method for improving the process to generate smooth surfaces from the measuring point data using turnkey CAD/CAM system. The process of smooth-surface generation involves several steps: styline finding, curve fairing, surface generation and filleting. The process is improved by automatic curve fairing, local correction of surface and multi-boundary surface treatment. An automobile bumper and a telephone receiver are measured and modeled to test the new method. Significant time saving is resulted by changing interactive mode to automatic mode and eliminating inefficient loop of surface generation process.

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Automatic Generation of Analysis Model Using Multi-resolution Modeling Algorithm (다중해상도 알고리즘을 이용한 자동 해석모델 생성)

  • Kim M.C.;Lee K.W.;Kim S.C.
    • Korean Journal of Computational Design and Engineering
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    • v.11 no.3
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    • pp.172-182
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    • 2006
  • This paper presents a method to convert 3D CAD model to an appropriate analysis model using wrap-around, smooth-out and thinning operators that have been originally developed to realize the multi-resolution modeling. Wrap-around and smooth-out operators are used to simplify 3D model, and thinning operator is to reduce the dimension of a target object with simultaneously decomposing the simplified 3D model to 1D or 2D shapes. By using the simplification and dimension-reduction operations in an appropriate way, the user can generate an analysis model that matches specific applications. The advantage of this method is that the user can create optimized analysis models of various simplification levels by selecting appropriate number of detailed features and removing them.