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STRUCTURE OF IDEMPOTENTS IN POLYNOMIAL RINGS AND MATRIX RINGS

  • Juan Huang;Tai Keun Kwak;Yang Lee;Zhelin Piao
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.5
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    • pp.1321-1334
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    • 2023
  • An idempotent e of a ring R is called right (resp., left) semicentral if er = ere (resp., re = ere) for any r ∈ R, and an idempotent e of R∖{0, 1} will be called right (resp., left) quasicentral provided that for any r ∈ R, there exists an idempotent f = f(e, r) ∈ R∖{0, 1} such that er = erf (resp., re = fre). We show the whole shapes of idempotents and right (left) semicentral idempotents of upper triangular matrix rings and polynomial rings. We next prove that every nontrivial idempotent of the n by n full matrix ring over a principal ideal domain is right and left quasicentral and, applying this result, we can find many right (left) quasicentral idempotents but not right (left) semicentral.

Measurement of Shoulder Length and Slope of Women's University Students (여자 대학생의 어깨길이와 어깨경사각의 측정)

  • Jang, Su-Jeong;Jeong, Yeon;Seong, Su-Gwang
    • Journal of the Ergonomics Society of Korea
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    • v.18 no.2
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    • pp.11-24
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    • 1999
  • The purpose of this study was to obtain the basic data for sound wear design. The objects' of this study were 331 women's university students. The eight items were the shoulder length, shoulder slope, height, weight, chest girth, neck girth, back length, and back shoulder width. The shoulder length and slopes were measured, compared with the right, the left, and other items. The results were as follows; The difference between the right and left shoulder length did not nearly appear. The mean of the right shoulder slopes was $21.3^{\circ}$, and that of the left was $21.9^{\circ}$. According to increase of the age, the right and left shoulder slope tends to be higher. The maximum distribution was $20.7^{\circ}$. According to increase of the age, the maximum distribution tends to be higher. The left compared with the right shoulder length, the right shoulder length of 90.3% objects' was longer than that of the left. The right and left shoulder length of 4.2% objects' were same. The left shoulder length of 5.4% objects' was longer than that of the right. The left compared with the right shoulder slopes, the right shoulder slopes of 12.7% objects' were higher than those of the left. The both size of 20.5% objects' were equal. The left slopes of 66.8% objects' was higher than those of the right.

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Optimal Design of the Signalized Intersection in Pusan Area using the Protected-Permissive Left-Turn Signal System (보호.비보호 혼용좌회전 신호체계를 고려한 부산지역 신호교차로의 최적설계에 관한 연구)

  • Kim, B.C.;Kim, T.G.
    • Journal of Korean Port Research
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    • v.11 no.1
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    • pp.29-44
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    • 1997
  • The purpose in this study was to review the travel characteristics of the left-turn signal system on the signalized intersections under the study in Pusan area, construct the appropriate transportation systems under the different left-turn signal system : Protected Left-Turn signal system, Permissive Left-Turn signal system, and Protected-Permissive Left-Turn signal system based upon the travel characteristics reviewed, and finally suggest the optimal left-turn signal system which could reduce traffic delay and fuel consumption. and also improve traffic safety on the signalized intersections based upon the optimal transportation system constructed. Based upon the results, it was concluded that the Protected-Permissive Left-Turn signal system would be better and safer than the Permissive Left-Turn signal system in the aspects which could reduce decrease delay and fuel consumption, and simultaneously increase traffic safety on the signalized intersections, even if the optimal Permissive Left Turn signal system was found to be the best left-turn signal system in the aspects of the Measures of Effectiveness(MOE) on the intersections under the study.

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Development of motor representation brain mechanism VR system using IMRI study: A Pilot Study (운동 표상과 관련된 뇌 메커니즘을 알아보기 위한 VR 시스템 개발 및 이를 이용한 fMRI 연구: 예비 실험)

  • Lee, Won-Ho;Ku, Jeong-Hun;Cho, Sang-Woo;Lee, Hyeong-Rae;Han, Ki-Wan;Park, Jin-Sick;Kim, Jae-Jin;Kim, In-Young;Kim, Sun-I.
    • 한국HCI학회:학술대회논문집
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    • 2008.02a
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    • pp.728-732
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    • 2008
  • In this study, we developed motor representation brain mechanism system using fMRI and pilot study is performed, fMRI task were composed two tasks, which provided visual feedback and hid visual feedback. Left superior orbital gyrus, bilateral precentral gyrus, left superior occipital gyrus, left supplementary motor area, right thalamus, right postcentral gyrus and right superior parietal lobule activated with visual feedback. Left precuneus, right middle temporal gyrus, bilateral supplementary motor area, right anterior cingulate cortex, left Inferior temporal gyrus, left insula lobe, right superior parietal lobule, bilateral postcentral gyrus and left precentral gyrus activated without visual feedback. We could found brain mechanism of motor representation using without visual feedback.

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A Study on Left-turn Queues Analysis using Queueing Theory under Permissive Left-turn Signal System (비보호좌회전 신호체계운영에 따른 좌회전 대기행렬분석에 관한 연구)

  • Kim, Kap Soo;Jung, Ja Young
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.5D
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    • pp.663-669
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    • 2011
  • In this study, the optimal length of left-turn lane in permissive left-turn signal system at the signalized intersection which has a left-turn bay is estimated. It is a simulation analysis using the queueing theory that estimate the length of left-turn lane. Traffic density conform to the standards of operating a permissive left-turn system of the Practical Manual Traffic Safety Facilities. And each of a left-turn arrival rate, a left-turn service rate, left-turn average queueing time, for green time average queueing vehicle, for red time average queueing vehicle and average queueing vehicle cycle is calculated. As a result of this study, we would learn how much the space should be secured at the signalized intersection which has a left-turn bay. The methodology using the queueing theory to work out the optimal length of waiting lane in the permissive left-turn signal system was presented.

Effects of anesthesia on echocardiograms in myocardial infarcted dogs (심근경색 유발견에서 마취가 심초음파에 미치는 영향)

  • Yoon, Jung-hee;Sung, Jai-ki
    • Korean Journal of Veterinary Research
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    • v.37 no.3
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    • pp.669-685
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    • 1997
  • The present study was performed to evaluate the effects of xylazine and tiletamine + zolazepam on echocardiograms before and after experimental myocardial infarctions in clinically normal dogs taken preliminary examinations related to cardiac function. The results are as follows. With xylazine administration, left ventricle end-diastolic dimension, left ventricle end-systolic dimension, left atrium/aorta, ejection time and velocity of circumferential fiber shortening increased and mitral valve CD slope, % delta D decreased(p<0.01). In tiletamine+zolazepam administered group, interventricular septum amplitude(p<0.01), mitral valve DE slope(p<0.05) and ejection time(p<0.01) decreased and left atrium/aorta, ejection time also decreased compared with xylazine group(p<0.01). In 48 hours after experimental myocardial infarction group, anterior aortic wall amplitude decreased compared with control, xylazine, tiletamine + zolazepam group, respectively(p<0.01). Posterior aortic wall amplitude decreased compared with control(p<0.01). Left ventricle end systolic dimension increased compared with control and tiletamine + zolazepam group, respectively(p<0.01). Left ventricular posterior wall end systolic dimension decreased compared with control(p<0.01). Left ventricular posterior wall amplitude decreased compared with control and tiletamine+zolazepam group(p<0.01). Left atrium/aorta decreased compared with xylazine group(p<0.01). % thickening left ventricular posterior wall decreased compared with control(p<0.05). % delta D decreased compared with control and tiletamine+zolazepam group(p<0.01). Ejection time decreased compared with xylazine(p<0.01). Velocity of circumferential fiber shortening increased compared with control and tiletamine + zolazepam group(p<0.01). With xylazine administration 48 hours after experimental myocardial infarction, anterior aortic wall amplitude, posterior aortic wall amplitude decreased compared with control(p<0.01). Left ventricle end-diastolic dimension increased compared with control(p<0.01). Left ventricle end-systolic dimension increased compared with control and tiletamine + zolazepam group, respectively(p<0.01). Left ventricular posterior wall end-systolic dimension and left ventricular posterior wall end-diastolic dimension decreased compared with control(p<0.01). Left atrium/aorta decreased compared with xylazine group(p<0.01). % thickening left ventricular posterior. wall(p<0.05) and % delta D(p<0.01) decreased compared with control. Velocity of circumferential fiber shortening increased compared with tiletamine + zolazepam group(p<0.01). With tiletamine + zolazepam administration 48 hours after experimental myocardial infarction, anterior aortic wall amplitude decreased compared with control, xylazine and tiletamine+zolazepam group, respectively(p<0.01). Posterior aortic wall amplitude decreased compared with control(p<0.01). Left ventricle end-systolic dimension increased compared with control and tiletamine+zolazepam group(p<0.01). Left ventricular posterior wall end-systolic dimension, left ventricular posterior wall end-diastolic dimension and interventricular septum amplitude decreased compared with control(p<0.01). Left atrium/aorta decreased compared with xylazine group(p<0.01). % delta D decreased compared with control and tiletamine + zolazepam group(p<0.01). Ejection time decreased compared with xylazine group and velocity of circumferential fiber shortening increased compared withtiletamine+zolazepam group(p<0.01). Conclusively, echocardiography was proved to be a useful, diagnostic, non-invasive and simple method for establishing the diagnosis of myocardial infarction and evaluating the effects of drug on cardiac function before and after myocardial infarction.

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Alterations in Left ventricular End-systolic Wall Stress During Short-term Follow-up After Correction of Isolated Congenital Aortic Stenosis (선천성 대동맥 협착증의 술전 및 술후 단기간의 수축말기 좌심실 내벽 스트레스의 변화)

  • 김시호
    • Journal of Chest Surgery
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    • v.33 no.10
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    • pp.777-784
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    • 2000
  • Congenital aortic stenosis in children is characterized by "excessive" left ventricular hypertrophy with reduced left ventricular systolic wall stress that allows for supernormal ejection performance. We hypothesized that left ventricular wall stress was decreased immediately after surgical correction of pure congenital aortic stenosis. Also measuring postoperative left ventricular wall stress was a useful noninvasive measurement that allowed direct assessment for oxygen consumption of myocardium than measuring the peak systolic pressure gradient between ascending aorta and left ventricle for the assessment of surgical results. Material and Method: Between September 1993 and August 1999, 8 patients with isolated congenital aortic stenosis who underwent surgical correction at Yonsei cardiovascular center were evaluated. There were 6 male and 2 female patients ranging in age from 2 to 11 years(mean age, 10 years). Combined Hemodynamic-Ultrasonic method was used for studying left ventricular wall stress. We compared the wall stress peak systolic pressure gradient and ejection fraction preoperatively and postoperatively. Result: After surgical correction peak aortic gradient fell from 58.4${\pm}$17.6, to 23.7${\pm}$17.7 mmHg(p=0.018) and left ventricular ejection fraction decreased but it is not statistically significant. In the consideration of some factors that influence left ventricular end-systolic wall stress excluding one patient who underwent reoperation for restenosis of left ventricular outflow tract left ventricular end-systolic pressure and left ventricular end-systolic dimension were fell from 170.6${\pm}$24.3 to 143.7${\pm}$27.1 mmHg and from 1.78${\pm}$0.4 to 1.76${\pm}$0.4 cm respectively and left ventricular posterior wall thickness was increased from 1.10${\pm}$0.2, to 1.27${\pm}$0.3cm but it was not statistically singificant whereas left ventricular end-systolic wall stress fell from 79.2${\pm}$24.9 to 57.1${\pm}$27.6 kdynes/cm2(p=0.018) in 7 patients. For one patient who underwent reoperation peak aortic gradient fell from 83.0 to 59.7 mmHg whereas left ventricular end-systolic wall stress increased from 67.2 to 97.0 kdynes/cm2 The intervals did not change significnatly. Conclusion ; We believe that probably some factors that are related to left ventricular geometry influenced the decreased left ventricular wall stress immediately after surgical correction of isolated congenital aortic stenosis. Left ventricular wall stress is a noninvasive measurement and can allow for more direct assesment than measuring peak aortic gradient particularly in consideration of the stress and oxygen consumption of the myocardium therefore we can conclude it is a useful measurement for postoperative assessment of congenital aortic stenosis.

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A Design of Frequency Multipliers Using λ/4 Open Composite Right/Left Handed Stub and Left Handed Transmission Line (λ/4 개방형 CRLH 스터브와 LH 전송 선로를 이용한 주파수 체배기 설계)

  • Seo, Su-Jin;Park, Sang-Keun;Choi, Heung-Jae;Jeong, Yong-Chae;Lim, Jong-Sik
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.18 no.11
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    • pp.1271-1278
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    • 2007
  • A novel frequency multiplier using composite right/left-handed transmission line is proposed. The left-handed transmission line in the proposed frequency multiplier suppresses the fundamental component($f_0$), while the composite right/left-handed ${\lambda}/4$ open stub diminishes unwanted harmonics. Due to the combination of the left-handed transmission line and composite right/left-handed ${\lambda}/4$ open stub, the only desirable multiplied frequency component such as 3 $f_0$ and 4 $f_0$ are obtained at the output port excellently. For the example of the proposed design, frequency multipliers are designed at 1 GHz of $f_0$ and measured. The measured output power of 3 $f_0$ and 4 $f_0$ is -5.67 dBm and -6.43 dBm, respectively, when the fundamental input power was 0 dBm.

Emotional experiences of baseball fans at winning and losing games: An fMRI approach (경기 승패에 따른 야구팬들의 정서경험: fMRI연구)

  • Park, Hye-Ju;Yoo, Ho-Sang
    • Korean Journal of Cognitive Science
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    • v.21 no.3
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    • pp.429-446
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    • 2010
  • This study is to examine if emotional valance depending upon the result of baseball game(losing or winning) of subjects' favorite team yields hemispheric asymmetry measured by fMRI. Subjects were twelve fans of the Samsung Lions baseball team. The brain activations have been observed while they watched winning and losing scenes of their favorite team. As a results of the experiment, those who watched winning scenes showed the activation of the left and right cuneus, right inferior occipital gyrus, right inferior frontal gyrus, left amygdala, right parahippocampal gyrus, left uncus, left cingulate gyrus, left inferior temporal gyrus, right middle temporal gyrus, left declive, left culmen. On the contrary, those who watched losing scenes showed the activation in the right middle frontal gyrus, left anterior cingulate, left sub-gyral, left lentifomrm nucleus, left thalamus, left claustrum, left insula. The evidence of hemispheric asymmetry from this study has not been demonstrated and activation in amygdala observed during watching winning scene has not been observed in losing scene. Therefore more in-dept research is required about defeat stimuli induction.

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