• Title/Summary/Keyword: Convex space

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Extended Three Region Partitioning Method of Loops with Irregular Dependences (비규칙 종속성을 가진 루프의 확장된 세지역 분할 방법)

  • Jeong, Sam-Jin
    • Journal of the Korea Convergence Society
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    • v.6 no.3
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    • pp.51-57
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    • 2015
  • This paper proposes an efficient method such as Extended Three Region Partitioning Method for nested loops with irregular dependences for maximizing parallelism. Our approach is based on the Convex Hull theory, and also based on minimum dependence distance tiling, the unique set oriented partitioning, and three region partitioning methods. In the proposed method, we eliminate anti dependences from the nested loop by variable renaming. After variable renaming, we present algorithm to select one or more appropriate lines among given four lines such as LMLH, RMLH, LMLT and RMLT. If only one line is selected, the method divides the iteration space into two parallel regions by the selected line. Otherwise, we present another algorithm to find a serial region. The selected lines divide the iteration space into two parallel regions as large as possible and one or less serial region as small as possible. Our proposed method gives much better speedup and extracts more parallelism than other existing three region partitioning methods.

A GENERAL ITERATIVE ALGORITHM FOR A FINITE FAMILY OF NONEXPANSIVE MAPPINGS IN A HILBERT SPACE

  • Thianwan, Sornsak
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.13-30
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    • 2010
  • Let C be a nonempty closed convex subset of a real Hilbert space H. Consider the following iterative algorithm given by $x_0\;{\in}\;C$ arbitrarily chosen, $x_{n+1}\;=\;{\alpha}_n{\gamma}f(W_nx_n)+{\beta}_nx_n+((1-{\beta}_n)I-{\alpha}_nA)W_nP_C(I-s_nB)x_n$, ${\forall}_n\;{\geq}\;0$, where $\gamma$ > 0, B : C $\rightarrow$ H is a $\beta$-inverse-strongly monotone mapping, f is a contraction of H into itself with a coefficient $\alpha$ (0 < $\alpha$ < 1), $P_C$ is a projection of H onto C, A is a strongly positive linear bounded operator on H and $W_n$ is the W-mapping generated by a finite family of nonexpansive mappings $T_1$, $T_2$, ${\ldots}$, $T_N$ and {$\lambda_{n,1}$}, {$\lambda_{n,2}$}, ${\ldots}$, {$\lambda_{n,N}$}. Nonexpansivity of each $T_i$ ensures the nonexpansivity of $W_n$. We prove that the sequence {$x_n$} generated by the above iterative algorithm converges strongly to a common fixed point $q\;{\in}\;F$ := $\bigcap^N_{i=1}F(T_i)\;\bigcap\;VI(C,\;B)$ which solves the variational inequality $\langle({\gamma}f\;-\;A)q,\;p\;-\;q{\rangle}\;{\leq}\;0$ for all $p\;{\in}\;F$. Using this result, we consider the problem of finding a common fixed point of a finite family of nonexpansive mappings and a strictly pseudocontractive mapping and the problem of finding a common element of the set of common fixed points of a finite family of nonexpansive mappings and the set of zeros of an inverse-strongly monotone mapping. The results obtained in this paper extend and improve the several recent results in this area.

A Study on the Interpretation of Amenity Structure for the Creation of Urban Landscape (쾌적한 도시환경의 창출을 위한 도시 어메니티 구조에 관한 연구)

  • 김승환;변문기
    • Journal of the Korean Institute of Landscape Architecture
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    • v.18 no.4
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    • pp.101-115
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    • 1991
  • A study on the method of evaluation the urban amenity structure in Pusan city was established. Finally a survey sites out of 41 regions were selected on the basis of questionnaires : Taejong-dae and Haeun-dae as a seascape, Pumosa and Daesin-park as a mountain, Daechong-park and Seongjigok-park as a mixed, and Chungryulsa, Yongdoosan-park and U. N. Cemetry as a urban type. The abstracted results of amenity elements were revealed as natural environments including convex type as beach, reservoir, valley and mountain, and plant elements including woods and flower beds which raised amenity. The elements of social surroundings including children's playing, the aged's rest, and elements of structures including historic and memorial structures and high buildings. Amenity element made up of each space by region were abstracted from the Semantic Differential method. According to the factor analysis on the ground SD scale values, Kaiser's measure of sampling adequacy for 24 variables is 08602 and very high. Four factors including pleasantness, healthiness, convenience and safety showed 54.42 percent for total variance. By means of multiple regression, the model was as follows : Y=1.6636+0.3684X4+0.1955X11+0.1614X15-0.1688X23+0.1468X24. Therefore, Y:amenity, X4:beautiful-ugly, X11:clean-dirty, X15:creative-imitative, X23:cozy-dreary, X24:free-restrained. All variables in the model were significant at 0.001 level. According to the results of regression on satisfaction, the variables of satisfaction affecting amenity are the size of green space, the condition of management and the harmony with the surroundings. I think the considerating on the above could improve amenity of each region and further Pusan city.

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Study on Spray Phenomena and Optimal Design of Injector for Improving Small Thruster Performance (소형 추력기의 성능 개선을 위한 액체 추진제 주입기 최적 설계 및 추진제 거동 연구)

  • Kim, Ki-Ro;Kim, Su-Kyum;Byun, Do-Young;Lee, Se-Min;Jung, Kang-Su;Park, Soo-Hyung;Kim, Sung-Kyun;Yu, Myoung-Jong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.4
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    • pp.341-347
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    • 2011
  • This work studies the performance of an injector for a monopropellant thruster, comparing a conventional and new injector types. The conventional injector consists of 8 nozzles on a convex surface allowing the jet to be diverged. The new injector, we suggested, is an impinging type with nozzle holes on a concave surface. The fuel streams through the nozzle holes are collide at a point on an axial direction, which allow to atomize the liquid streams and to spray more uniformly along circular direction. The performance of the injectors is investigated by using computational fluid dynamics, particle image velocimetry and high speed camera visualization.

Experimental study on the ground arching depending on the deformation type of the crown in the shallow tunnel (얕은터널에서 천단의 변형형태에 따른 그라운드 아칭에 관한 실험적 연구)

  • Yim, Il Jae;Lee, Sang Duk
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.19 no.5
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    • pp.733-747
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    • 2017
  • In the shallow tunnel, the surrounding ground could be loosened and deformed, which could be the cause of stress change in the ground. Terzaghi has clarified the development of a ground arching induced by the deformation of a tunnel crown in the trap door tests. However, he considered only the case in which that the tunnel crown deformed uniformly. He did not consider the effect of deformation shapes. Therefore, the relation between the shape of the ground relaxation above the tunnel crown and the deformation shape of the tunnel crown is not clear yet. In this study, model tests were performed for the three types of the tunnel crown, such as uniform, concave and convex shapes. As results, it was found that the vertical load would be transferred in various types depending on the deformation shapes of the tunnel crown.

$H_2$, $H_{\infty}$, and mixed $H_2/H_{\infty}$ FIR Filters for Discrete-time State Space Models

  • Lee, Young-Sam;Jung, Soo-Yul;Seo, Joong-Eon;Han, Soo-Hee;Kwon, Wook-Hyun
    • Proceedings of the IEEK Conference
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    • 2003.11a
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    • pp.401-404
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    • 2003
  • In this paper, $H_2$, $H_{\infty}$, and mixed $H_2/H_{\infty}$ FIR filters are newly proposed for discrete-time state space signal models. The proposed filters require linearity, unbiased property, FIR structure, and independence of the initial state information in addition to the performance criteria in both $H_2$ and $H_{\infty}$ sense. It is shown that $H_2$, $H_{\infty}$, and mixed $H_2/H_{\infty}$ FIR filter design problems can be converted into convex programming problems via linear matrix inequalities (LMIs) with a linear equality constraint. Simulation studies illustrat that the proposed FIR filter is more robust against uncertainties and has faster convergence than the conventional IIR filters. the conventional IIR filters.

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A Study on the relationship in spatial structure of senior Center in Seoul (서울시 노인종합복지관의 공간 구조적 연결 관계에 관한 연구)

  • Kim, Jin-A;Byun, Dae-Joong
    • Korean Institute of Interior Design Journal
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    • v.21 no.3
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    • pp.182-193
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    • 2012
  • The percentage of senior citizens is increasing in Korea and it is expected to become an "aging society". Problems with the elderly are becoming a big concern, such as physical and mental illness, losing their jobs and having difficulties at home. But, the silver generation, as they are being known, has changed a lot these days. With the aid of medical developments, the elderly's lifespan has become longer, making them more independent and active. Senior Welfare Center's are places where the elderly can spend their golden years in comfort, meaningfully. Senior Welfare Center's these days provide many different programs, which naturally lead to an increase in elderly users. With the rise in welfare centers and users, research on the subject also grew. As this topic has only recently become an issue, there were not many spatial structure studies considering elderly movement. Therefore, there should be spatial structure research that considers older users space awareness and how it can be managed effectively. The goal of this study is to present basic resources for providing a comfortable senior welfare center for elders. This will be based on quantitative analysis derived from spatial structure research along with special construction characteristics based on the institution's general plan. As a research method, Senior Welfare Center's will be categorized into corridor type, hall type, and hybrid types which then be reproduced into a j-graph. Based on this, special structure characteristics and connection links will be comprehended. Then the connection link will be analyzed based on the space syntax result calculated from each type's integration, connectivity, control value, and intelligibility. The analysis result shows that Senior Welfare Center j-graph's average arrangement is hybrid>corridor>hall types. Those elders lacking awareness need easily perceivable spatial structure's and hall type's would be the best choice to increase their awareness as it has high articulation. However, hall type's would be difficult to construct with the size increase, so hybrid type would be the next logical solution. Space with relatively high articulation will need to be planned in hybrid type's where rest areas can be created within the halls in the Welfare Center in connection to its corridors.

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Ultrastructure of the Hindgut Epithelial Cells in the Cockroach, Blattella germanica L. (바퀴의 後腸 上皮細胞들에 대한 微細構造)

  • Yu, Chai Hyeock
    • The Korean Journal of Zoology
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    • v.28 no.1
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    • pp.44-59
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    • 1985
  • The epithelium of the hindgut in the german cockroach, Blattella germanica Linne, was observed with electron microscope. The epithelium of the ileum, which is located at the anterior hindgut, is composed of a single layer of squamous and cuboidal cells. The liminal surface of the epithelium is lined with the cuticular intima. The epithelial cells contain cell organelles expected to be found in absorptive cells, and some epithelial cells have numerous lamelated crystals, the "spherites". The rectal epithelium of posterior hindgut is composed of rectal pads which are covered with cuticular intima on the luminal side. The rectal pads are composed of columnar absorptive cells and basal cells. The apical plasma membrane of columnar cell is made of microvilli, where mitochondria associated with some of the microvilli. The lateral plasma membrane is highly infolded and space is an uniform width of approximately 200$\\AA$. Well developed mitochondria are found closely associated with the infoldings and this is referred to as the "mitochondrial-scalariform complex". A septate junction is found near the apical zone between the columnar absorptive cells, whereas many desmosomes and intercellular spaces are formed between the columnar cells. Basal cells are bowl-shaped where the convex surface is inlaid into the basal surface of the columnar cells while the concave surface faces the basal lamina. The cytoplasm of the basal cell is electron dense and contains well developed cell organelles. The basal sheath is located between the basal membrane and basal lamina, providing barrier between the epithelium and the hemolymph. The epithelium is surrounded by the subepithelial space and muscles. The subepithelial space, which is composed of fibrous connective tissue, is innervated by many tracheoles and axons.

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Fundamental Studies on the Ultrasonographic Diagnosis in Korean Native Cattle (한우에서의 초음파화상진단에 관한 연구)

  • Kim Myung-cheol;Park Kwan-ho
    • Journal of Veterinary Clinics
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    • v.12 no.1
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    • pp.861-876
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    • 1995
  • This study was carried out to get fundamental information about the normal ultrasonogram of the liver and heart in Korean native cattle and calves. The interventricular septum, left ventricular internal diameter, left ventricular free wall thickness, aortic diameter, left atrial diameter, and right ventricular internal diameter of hear in 10 Korean native calves were determined at 4-5 right intercostal spare by use of ultrasonography. The caudal vena cava, portal vein, gallbladder, liver of 9 Korean native cattle and 10 calves were determined at 12, 11 and 10th intercostal spares by use of ultrasonography. Cursor-directed M-mode and gray-scale, B-mode ultrasonograms were obtained with electronic scanning ultrasound equipment with a 3.5 or 5.0-MHz convex transducer. The results obtained through the experiments were summarized as follows: 1. The result of ultrasonographic examination of the korean native calves' heart 1) Interventricular septum in systole and diastole was 1.23 and 0.81 cm, respectively(vc=28.84, 17.4). 2) Ventricular internal diameter in systole and diastole was 2.50 and 4.91 cm, respectively(vc=17.44, 12.73). 3) Left ventricular free was thickness in systole and diastole was 1.44 and 0.92 cm, respectively(vc=26.85, 23.54). 4) Aortic diameter was 2.69.m, .rspectevely(vc=11.29). 5) Left atrial diameter was 1.82 cm(vc=15.31). 6) Right ventricular internal diameter in systole and diastole was 1.12 and 1.9 cm, respectively(vc=33.71, 24.43). 3. Ultrasonographic measurments of caudal vena cava, portal vein, gallbladder of Korean native calves 1) Dorsal margin of caudal vena cava at the 12, 11 and 10th intercostal space was 13.5, 15.3 and 18.1 cm, respectively(p<0.01). 3) Depth of caudal vena cava at the 12, 11 and 10th intercostal space was 4.4, 4.5 and 4.6 cm, respectively. 3) Diameter of caudal vena cava at the 12, 11 and 10th intercostal space was 11.6, 1.7 and 1.6 cm, respectively. 4) Dorsal margin of portal vein at the 12, 11 and 10th intercostal space was 16.2, 18.6 and 21.4 cm, respectively(p<0.01) 5) Depth of portal vein at the 12, 11 and 10th intercostal spare was 4.5, 4.4 and 3.9 cm respectively. 6) Diameter of portal vein at the 13, 11 and 10th intercostal space was 2.1, 2.2 and 1.9 cm respectively. 7) Dorsal margin of gallbladder at the 11 and 10th intercostal space was 23.6 and 23.9 cm, respectively(p<0.01), 8) Longitudinal diameter of gallbladder at the 11 and 10th intercostal space was 7.1 and 5.9 cm, respectively(p<0.05). 9) Transverse diameter of gallbladder at the 11 and 10th intercostal space was 2.4 and 2.1 cm respectively(p<0.01). 3. Ultrasonographic measurments of caudal vena cava, portal vein, gallbladder of Korean native cattle 1) Dorsal margin of caudal vena cava at the 12 and 11th intercostal space was 22.2, and 25.4 cm, respectively(p<0.01). 2) Depth of caudal vena cava at the 12 and 11th intercostal space was 103 and 11.1 cm, respectively(p<0.01). 3) Diameter of caudal vena cava at the 12 and 11th intercostal space was 3.1 and 3.0 cm, respectively. 4) Dorsal margin of portal vein at the 12 and 11th intercostal space was 29.3 and 32.9 cm, respectively(p<0.01). 5) Depth of portal vein at the 12 and 11th intercostal space was 9.6, and 9.2 cm, respectively. 6) Diameter of portal vein at the 12 and lith intercostal space was 3.4 and 3.3 cm, respectively. 7) Dorsal margin of gallbladder at the 11 and 10th intercostal space was 43.1 and 45.5 cm, respectively(p<0.01). 8) Longitudinal diameter of gallbladder at the 11 and 10th intercostal space was 10.1 and 9.4 cm, respectively. 9) Transverse diameter of gallbladder at the 11 and 10th intercostal space was 4.0 and 3.7 cm, respectively. 4, Ultrasonogaphic measurments of dorsal margin, ventral margin, size and angles of the Korean native calves' liver. 1) Dorsal margin of liver at the 12, 11 and 10th intercostal space was 11.0, 9.6, and 12.4 cm, respectively(p<0.01). 2) Ventral margin of liver at the 12, 11 and 10th intercostal spate was 20, 24 and 26.1 cm, respectively(p<0.01). 3) Size of the liver at the 12, 11 and 10th intercostal space was 9.0, 14.6 and 13.8 cm, respectively(p<0.01). 4) Angle of liver at the 12, 11 and 10th intercostal space was 40, 46 and 37, respectively(p<0.01). 5. Ultrasonographic measurmants of dorsal margin, ventral margin, size and anglses of the korean native cattle's liver 1) Dorsal margin of the liver at the 12, 11 and 10th intercostal space was 14.4, 18.2 and 26, 3 cm, respectively. 2) Ventral margin of liver at the 12, 11 and 10th intercostal space was 41.1, 46.4 and 49.3 cm, respectively(p<0.01). 3) Size of the liver at the 12, 11 and 10th intercostal space was 26.8, 28.2 and 23.2 cm, respectively(p<0.01). 4) Angel of liverat the 15, 11 and 10 intercostal space was 41, 40.6 and 35.7, respectively(p<0.05). It was concluded that the ultrasonographic values oletermined in this study can be used as references for the diagnosis of morphologic changes in the hear and liver in korean native calves, and in the liver in korean native rattle.

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A Study on Behavior Characteristics of Reinforcement Zone of Block Type Mechanically Stabilized E arth Wall by Field Measurement in Curved Section (현장 계측을 통한 블록형 보강토옹벽 곡선부 보강 영역의 거동 특성 연구)

  • Lee, So-Yeon;Kim, Young-Je;Oh, Dong-Wook;Lee, Yong-Joo;Jung, Hyuk-Sang
    • Journal of the Korean Geosynthetics Society
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    • v.18 no.2
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    • pp.23-36
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    • 2019
  • In this paper, field measurement of the Block Type Mechanically Stabilized Earth (MSE) wall curved section was performed, and the reinforced area of the curved part is studied through the result. MSE method has been applied to various fields because of easy construction and excellent economic efficiency, so that it can be easily access in our life. However due to lack of compaction and stress concentration phenomenon, cracks and collapse occur in the curve of MSE wall, which is important for safety. The cause of collapse is lack of research on curved section, lack of design criteria, lack of construction due to economical efficiency and shortening of construction period, insufficient compaction space. In this study, therefore, it was examined the existing design and construction standards, analyzed the cause through accident examples of the curved section of the Block Type MSE wall. As a result, the horizontal displacement of the curved section was 90% higher than that of the straight section and 60% higher than that of the concave section. In the case of the convex section in the curved section reinforcement region, the maximum displacement is shown in the H/2 section in the horizontal direction from the center of the MSE wall, and the range of influence from H is shown. In the case of the concave section, the maximum displacement is shown in the center, The minimum displacement was confirmed in H/4 section in the horizontal direction from the center of the MSE wall. As a basic study on the reinforcement area rehabilitation through the actual construction of block type MSE wall, the behaviors of the straight part and the curved part were compared and analyzed. And analyzed the reinforced area in order to reduce the damage of the stress concentration phenomenon and secure the safety.