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WEAK AND STRONG CONVERGENCE OF MANN'S-TYPE ITERATIONS FOR A COUNTABLE FAMILY OF NONEXPANSIVE MAPPINGS

  • Song, Yisheng;Chen, Rudong
    • Journal of the Korean Mathematical Society
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    • v.45 no.5
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    • pp.1393-1404
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    • 2008
  • Let K be a nonempty closed convex subset of a Banach space E. Suppose $\{T_{n}\}$ (n = 1,2,...) is a uniformly asymptotically regular sequence of nonexpansive mappings from K to K such that ${\cap}_{n=1}^{\infty}$ F$\(T_n){\neq}{\phi}$. For $x_0{\in}K$, define $x_{n+1}={\lambda}_{n+1}x_{n}+(1-{\lambda}_{n+1})T_{n+1}x_{n},n{\geq}0$. If ${\lambda}_n{\subset}[0,1]$ satisfies $lim_{n{\rightarrow}{\infty}}{\lambda}_n=0$, we proved that $\{x_n\}$ weakly converges to some $z{\in}F\;as\;n{\rightarrow}{\infty}$ in the framework of reflexive Banach space E which satisfies the Opial's condition or has $Fr{\acute{e}}chet$ differentiable norm or its dual $E^*$ has the Kadec-Klee property. We also obtain that $\{x_n\}$ strongly converges to some $z{\in}F$ in Banach space E if K is a compact subset of E or there exists one map $T{\in}\{T_{n};n=1,2,...\}$ satisfy some compact conditions such as T is semi compact or satisfy Condition A or $lim_{n{\rightarrow}{\infty}}d(x_{n},F(T))=0$ and so on.

Evaluation of Fire Characteristics for Particle-board with Exfoliated Graphite Nanoplatelets Added (탄소재료의 적용 방법에 따른 파티클 보드의 연소 특성)

  • Seo, Hyun Jeong;Jo, Jeong Min;Hwang, Wuk;Lee, Min Chul
    • Journal of the Korean Society of Combustion
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    • v.22 no.4
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    • pp.1-8
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    • 2017
  • This study was conducted to evaluate the fire retardant performance of exfoliated graphite nanoplatelets (xGnP) applied for particleboard. This work measured heat release rate(HRR), total heat release(THR) and smoke production rate(SPR) of xGnP added particleboard, using cone calorimeter to assess its fire characteristics according to the KS F ISO 5660-1 standard code. Heat release rates of all specimens treated by xGnP were less than the $200kW/m^2$ for a total experiment period of five minutes. Heat release rates of the specimens coated with xGnP were lower than those of the specimens made by mixing wood particles with xGnP directly. Meanwhile, the total heat release rates of xGnP coated specimen maintained quite lower level than the uncoated so the xGnP coating were effective in improving the fire retardant performance of particleboard. However, the smoke emission peaking problem at the initial combustion period, which was caused by adding base coating materials, should be resolved for further satisfaction as a fire retardant materials.

Cancellation of MRI Motion Artifact in Image Plane

  • Kim Eung-Kyeu
    • Journal of the Institute of Convergence Signal Processing
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    • v.1 no.1
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    • pp.49-57
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    • 2000
  • In this study, a new algorithm for canceling a MRI artifact due to the translational motion In the image plane is described. Unlike the conventional iterative phase retrieval algorithm, in which there is no guarantee for the convergence, a direct method for estimating the motion is presented. In previous approaches, the motions in the x(read out) direction and the y(phase encoding) direction were estimated simultaneously. However, the feature of x and y directional motions are different from each other. By analyzing their features, each x and y directional motion is canceled by the different algorithms in two steps. First, it is noticed that the x directional motion corresponds to a shift of the x directional spectrum of the MRI signal, and the non-zero area of the spectrum just corresponds to the projected area of the density function on the x axis. So the motion is estimated by tracing the edges between non-zero area and zero area of the spectrum, and the x directional motion is canceled by shifting the spectrum in an reverse direction. Next, the y directional motion is canceled by using a new constraint condition, with which the motion component and the true image component can be separated. This algorithm is shown to be effective by using a phantom image with simulated motion.

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The Study on Composition ratio of Iodine in Hybrid X-ray Sensor (혼합형 X선 센서에서 a-Se 의 Iodine 첨가비 연구)

  • Gong, Hyung-Gi;Park, Ji-Koon;Choi, Jang-Yong;Moon, Chi-Wung;Nam, Sang-Hee
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2002.11a
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    • pp.366-369
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    • 2002
  • At present, the study of direct digital X-ray detector and indirect digital X-ray detector proceed actively. But it needs high thickness and high voltage in selenium for high ionization rate. Therefore, we carried out the study of electric characteristics of a-Se with additive ratio of Iodine in drafting study for developing Hybrid X -ray Sensor for complementing direct digital X -ray detector and indirect digital X-ray detector in this paper. On this, there are formed Amorphous selenium multi-layers by sticking phosphor layer$(Gd_{2}O_{2}S(Eu^{2+}))$ using optical adhesives of EFIRON Co. Amorphous selenium multi-layers having dielectric layer(parylene) has characteristics of low dark-current, high X-ray sensitivity. So we can acquired a enhanced signal to noise ratio. We make Amorphous selenium multi-layers with $30{\mu}m$ thickness on glass.

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Effects of MH, FA, Flumetralin and Butralin Applications on Sucker Control of Flue-cured Tobacco (황색종 담배에서 MH, FA, Flumetralin 및 Butralin의 처리방법이 곁순억제에 미치는 영향)

  • 류명현;김용암
    • Journal of the Korean Society of Tobacco Science
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    • v.23 no.1
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    • pp.5-11
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    • 2001
  • Experiments were conducted to evaluated the sucker control efficiency of several suckercides and their combinations for flue-cured tobacco in Korea. In 1999, Flumetralin(Prime+, P+), Butralin(B), Fatty alcohol(FA, n-decanol 85%), pottasium salt of maleic hydrazide(MH), tank mix of MH with P+ (MH·P+), and another tank mix of MH with FA(MH·FA) were applied after topping, respectively, then sucker number and sucker dry weight were investigated on the 30th and 50th day from treatment. Sucker number and dry weight were significantly lowered by P+, B, FA and MH·P+ applications compared with those of MH and MH·FA for both investigated periods. A significant reduction in sucker number and dry weight was observed in P+, B, and MH·P+ applications. FA treatment was not so much effective in sucker control as P+. In 1999 and 2000, several suckercides and tank mixes of their combinations were applied first at button stage and second after topping, respectively, to compare the effects of sucker control on yield, price index and chemical components of cured leaves. Compared to the standard method of FA 30x at button stage followed by MH40x application after topping(FA 30x + MH 40x), sucker number and dry weight decreased by [FA 30x (or P+ 1%] or [FA 30x(or B 1.5%) + MH 60x·B 1.5%] treatments, even at reduced MH levels. But yield, price index and chemical components of cured leaves were not differed among treatments.

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A Novel Approach to Enhance Dual-Energy X-Ray Images Using Region of Interest and Discrete Wavelet Transform

  • Ullah, Burhan;Khan, Aurangzeb;Fahad, Muhammad;Alam, Mahmood;Noor, Allah;Saleem, Umar;Kamran, Muhammad
    • Journal of Information Processing Systems
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    • v.18 no.3
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    • pp.319-331
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    • 2022
  • The capability to examine an X-ray image is so far a challenging task. In this work, we suggest a practical and novel algorithm based on image fusion to inspect the issues such as background noise, blurriness, or sharpness, which curbs the quality of dual-energy X-ray images. The current technology exercised for the examination of bags and baggage is "X-ray"; however, the results of the incumbent technology used show blurred and low contrast level images. This paper aims to improve the quality of X-ray images for a clearer vision of illegitimate or volatile substances. A dataset of 40 images was taken for the experiment, but for clarity, the results of only 13 images have been shown. The results were evaluated using MSE and PSNR metrics, where the average PSNR value of the proposed system compared to single X-ray images was increased by 19.3%, and the MSE value decreased by 17.3%. The results show that the proposed framework will help discern threats and the entire scanning process.

The Effect of Concentration of Glucose and Salts on both the Growth and the production of Lipid and DHA of Thraustochytrium aureum ATCC 34304 (당농도 및 염농도가 해양미생물 Thraustochytrium aureum ATCC 34304의 성장 및 지질과 DHA 생성에 미치는 영향 규명)

  • Kim Won-Ho;Jeong Young-Su;Park Chun-Ik;Hur Byung-Ki
    • KSBB Journal
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    • v.20 no.4
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    • pp.271-277
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    • 2005
  • The polyunsaturated fatty acids (PUFAs) are mostly synthesized by the marine original microorganisms. In this study, the effect of concentrations of glucose, NaCl, and $MgSO_4{\cdot}7H_2O$ on both the growth and the production of lipid and Docosahexaenoic acid (DHA) was investigated using Thraustochytrium aureum ATCC 34304. $Y_{Lipid/X}\;and\;Y_{DHA/Lipid}$ increased according to the increase of initial glucose concentration until 15 g/L of glucose. The maximum values of $Y_{Lipid/X}\;and\;Y_{DHA/Lipid}$ were 0.18 g/g and 0.41 g/g respectively at 15 g/L of glucose. The biomass yield, $Y_{x/s}$, however, was constant as 0.378 g/g regardless of initial glucose concentrations in the range of 5 g/L to 25 g/L. The specific growth rate of T. aureum increased also with initial glucose concentration from 5 g/L and 15 g/L. The maximum value was $0.79\;day^{-1}$ at 15 g/L of glucose, and the growth rate decreased to $0.57\;day^{-1}$ and remained constant according to initial sugar concentration in the range of higher than 15 g/L of glucose. The concentration of NaCl was changed from 0 g/L to 48 g/L, in order to study the characteristics of the growth and the production of lipid and DHA according to NaCl concentration. The growth and the production of lipid as well as DHA stopped all at 0 g/L of NaCl and the maximum values of all the three variables occurred at 24 g/L. The effect of $MgSO_4{\cdot}7H_2O$ concentration was also investigated not to find the growth and the production of lipid and DHA at 0 g/L. However, the growth and the Production with $MgSO_4{\cdot}7H_2O$ concentration increased to reach the maximum values at 18 g/L of $MgSO_4{\cdot}7H_2O$.

Performance of the combined ${\bar{X}}-S^2$ chart according to determining individual control limits (관리한계 설정에 따른 ${\bar{X}}-S^2$ 관리도의 성능)

  • Hong, Hwi Ju;Lee, Jaeheon
    • The Korean Journal of Applied Statistics
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    • v.33 no.2
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    • pp.161-170
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    • 2020
  • The combined ${\bar{X}}-S^2$ chart is a traditional control chart for simultaneously detecting mean and variance. Control limits for the combined ${\bar{X}}-S^2$ chart are determined so that each chart has the same individual false alarm rate while maintaining the required false alarm rate for the combined chart. In this paper, we provide flexibility to allow the two charts to have different individual false alarm rates as well as evaluate the effect of flexibility. The individual false alarm rate of the ${\bar{X}}$ chart is taken to be γ times the individual false alarm rate of the S2 chart. To evaluate the effect of selecting the value of γ, we use the out-of-control average run length and relative mean index as the performance measure for the combined ${\bar{X}}-S^2$ chart.

The Study of the Geometric Structure Optimization for the Stereo X-ray Inspection System Using the Calibration (Calibration을 통한 스테레오 X-ray 검색장치의 기하구조 최적화 연구)

  • Hwang, Young-Gwan;Lee, Nam-Ho;Lee, Seung-Min;Park, Jong-Won
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.9
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    • pp.3422-3427
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    • 2010
  • In this paper, we presents a sensor calibration technique using stereo X-ray images to provide efficient inspection of fast moving cargo objects. Stereo X-ray scanned images are acquired from a specially designed equipment which consists of a X-ray source, dual-linear array detector, and a conveyor system. Dual detector is installed so that rectified stereo X-ray images of objects are acquired. Using the stereo X-ray images, we carry out a sensor calibration to find the correspondences between the images and reconstruct 3-D shapes of real objects. Using the Image acquired from the stereo detectors with varying distances, we calculated the GCP(ground control point)of the image. And we figure out the error by comparing calculated GCP and GCP of the real object. The experimental results show the proposed technique can enhance the accuracy of stereo matching and give more efficient visualization for cargo inspection image.

Effect of Initial Toluene Concentration on the Photooxidation of Toluene -NOx- Air Mixture - I. Change of Gaseous Species (초기 톨루엔 농도가 톨루엔 -NOx- 공기 혼합물의 광산화 반응에 미치는 영향 - I. 가스상 물질의 변화)

  • Lee Young-Mee;Bae Gwi-Nam;Lee Seung-Bok;Kim Min-Cheol;Moon Kil-Choo
    • Journal of Korean Society for Atmospheric Environment
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    • v.21 no.1
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    • pp.15-26
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    • 2005
  • An experimental investigation of the gas-phase photooxidation of toluene-NO$_{x}$-air mixtures at sub-ppm concentrations has been carried out in a 6.9 m3, indoor smog chamber irradiated by blacklights. Measured parameters in the toluene-NO$_{x}$ experiments included $O_3$, NO, NO$_2$, NO$_{x}$, CO, SO$_2$ toluene, and air temperature. The initial toluene concentration ranged from 225 ppb to 991 ppb and the initial concentration ratio of toluene/NO$_{x}$ in ppbC/ppb was in the range of 5~20. It was found that the variation of gaseous species with irradiation time caused by the photooxidation of toluene-NO$_{x}$-air mixtures depended on the initial toluene concentration for similar concentration ratio of toluene/NO$_{x}$. The dependency of initial toluene concentration on the photooxidation of toluene-NO$_{x}$-air mixtures for toluene/NO$_{x}$=5~6 seemed to be opposite to that for toluene/NO$_{x}$=10~11. The arriving time at maximum ozone concentration depended on both initial toluene concentration and initial concentration ratio of toluene/NO$_{x}$. However, the maximum concentration of ozone formed by photooxidation depended only on the initial toluene concentration.luene concentration.