• Title/Summary/Keyword: Extension dimension

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ON THE COHOMOLOGICAL DIMENSION OF FINITELY GENERATED MODULES

  • Bahmanpour, Kamal;Samani, Masoud Seidali
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.1
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    • pp.311-317
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    • 2018
  • Let (R, m) be a commutative Noetherian local ring and I be an ideal of R. In this paper it is shown that if cd(I, R) = t > 0 and the R-module $Hom_R(R/I,H^t_I(R))$ is finitely generated, then $$t={\sup}\{{\dim}{\widehat{\hat{R}_p}}/Q:p{\in}V(I{\hat{R}}),\;Q{\in}mAss{_{\widehat{\hat{R}_p}}}{\widehat{\hat{R}_p}}\;and\;p{\widehat{\hat{R}_p}}=Rad(I{\wideha{\hat{R}_p}}=Q)\}$$. Moreover, some other results concerning the cohomological dimension of ideals with respect to the rings extension $R{\subset}R[X]$ will be included.

LOCAL-GLOBAL PRINCIPLE AND GENERALIZED LOCAL COHOMOLOGY MODULES

  • Bui Thi Hong Cam;Nguyen Minh Tri;Do Ngoc Yen
    • Communications of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.649-661
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    • 2023
  • Let 𝓜 be a stable Serre subcategory of the category of R-modules. We introduce the concept of 𝓜-minimax R-modules and investigate the local-global principle for generalized local cohomology modules that concerns to the 𝓜-minimaxness. We also provide the 𝓜-finiteness dimension f𝓜I (M, N) of M, N relative to I which is an extension the finiteness dimension fI (N) of a finitely generated R-module N relative to I.

The Effect on Appendage muscle strength due to Increase in Occlusal Vertical Dimension (수직적 교합고경의 증가가 사지 근력에 미치는 영향에 관한 연구)

  • An, Su-Jin;Lee, Sung-Bok
    • Journal of Dental Rehabilitation and Applied Science
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    • v.17 no.4
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    • pp.231-244
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    • 2001
  • This study was conducted to observe the effect on appendage muscle strength according to increase in occlusal vertical dimension. For this study, ten males with a mean age of 21 were selected. The subjects had a complete or almost complete set of natural teeth and reported no subjected symptoms of pain or dysfunction in the masticatory system. The tested occlusal splints were made at the position of increased occlusal vertical dimension of 2mm, 3.5mm, and 5mm from the ICP. Before and after wearing occlusal splints, the appendage muscle strength were tested by CybexII Dynamometer in each subject. The results were as follows : 1. When occlusal vertical dimension was increased, most of mean muscular strength values were increased except for those of supination and pronation of forearm at the position of 5mm increased occlusal vertical dimension. 2. The statistical analyses demonstrated that the increased occlusal vertical dimension position to be significantly stronger than intercuspal position for the muscle strength of the flexion and extension of hip, supination of forearm, external and internal rotation of knee, dorsiflexion and plantarflexion of ankle (p<0.05). 3. At the position of 3.5mm increased vertical dimension displayed the highest mean muscluar strength value than other positions. 4. Statistically demonstrated values, except for supination of forearm, internal rotation of shoulder, were related to lower appendage. Therefore splint was more effective on lower appendage than upper appendage to make muscle strength increased. 5. The mean increased rate of muscular strength tested on knee(57%), ankle(42%), and wrist(20%) were higher than hip(31%), elbow(14%), and shoulder(17%).

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Design and Implementation of Spatiotemporal Query Extension on ORDBMS (ORDBMS 기반 시공간 질의 확장의 설계 및 구현)

  • Yun, Sung Hyun;Nam, Kwang Woo
    • Journal of the Korean Association of Geographic Information Studies
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    • v.6 no.4
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    • pp.37-50
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    • 2003
  • In the paper, we describe the query extension techniques for spatiotemporal query functionalities on object-relational DBMS. The spatial objects in real world change the shapes over time. Spatiotemporal databases support to manage a temporal dimension as well as a spatial dimension for history of the objects. The proposed techniques can make conventional object-relational databases to support spatiotemporal databases system by the implementation and inheritance of abstract data types. We define and implement spatial and temporal classes as superclass. And, spatiotemporal classes inherits and extends the classes. The proposed extensions make it easy that conventional database systems not only are transformed into the spatiotemporal database systems, but also do not need to be changed to support spatiotemporal applications.

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Comparison of morphometric traits between small yellow croaker (Larimichthys polyactis) and yellow croaker(L. crocea) (참조기(Larimichthys polyactis)와 부세(L. crocea) 간의 외부계측형질 비교)

  • Park, In-Seok;Oh, Ji Su
    • Korean Journal of Environmental Biology
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    • v.38 no.4
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    • pp.507-517
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    • 2020
  • Several methods including morphometric analysis were used to distinguish small yellow croaker (Larimichthys polyactis) from yellow croaker (Larimichthys crocea), which have very similar external shapes. Morphometric analysis showed four considerable differences (p<0.05) among the total 48 morphometric dimensions, but no differences were seen in the classical dimensions (p>0.05). Rather, significant differences were seen in two truss dimensions: Insertion of dorsal fin base - origin of pectoral fin base and origin of anal fin base - origin of pectoral fin base, and two head part dimension: most anterior extension of the head - above of eye and above of eye - posterior aspect of operculum(p<0.05). However, the yellow croaker had higher values than the small yellow croaker in the other three morphometric dimensions except for the head part dimension of above of eye - posterior aspect of operculum of the four morphometric dimensions (p<0.05). The X-ray photographs indicated that the small yellow croaker (45.1±2.34°) had 8.4% more curved vertebral column than the yellow croaker(38.4±1.82°). A diamond-shaped cranium was found when the skin was peeled off from both fish but the commonly held fact that only the small yellow croaker has a diamond-shaped cranium is not accurate. Our results confirmed that the two fish could be definitely distinguished by their external body shape.

7×7 MIMO System Using Extended 13-Element ESPAR Antenna (확장 13-Element EPSAR 안테나를 사용한 7×7 MIMO 시스템)

  • Bok, Junyeong;Lee, Seung Hwan;Ryu, Heung-Gyoon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39A no.2
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    • pp.69-76
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    • 2014
  • Multiple-input and multiple-output (MIMO) technique is used in many communication fields in order to increase the channel capacity. However, this MIMO system has difficulty of miniaturization of antenna size due to the multiple RF chains Also, multiple RF chain raises some problems which increase power consumption at RF circuit and degrade the system performance due to the interference between RF chains. Because of these reasons, beamspace MIMO (BS-MIMO) technique with only single RF chain was proposed for MIMO transmission. This BS-MIMO system basically uses electronically steerable parasitic array radiator (ESPAR) antenna. Existing ESPAR antenna has a 5-element structure. So, it is possible to do only $3{\times}3$ MIMO transmission. Therefore, in order to extend BS-MIMO dimension, extension of ESPAR antenna structure is essential. In this paper, we show that BS-MIMO dimension can be increased according to the extension of structure of the ESPAR antenna, as in the conventional MIMO techniques. For example, we show that it is possible to design the $7{\times}7$ BS-MIMO transmissions with the 13-element ESPAR antenna. Also, when the number of parasitic elements of ESPAR antenna increases by two elements, MIMO dimension is expanded by 1.

Motion Change of the Trunk and Upper Extremity Segment to Putting the Wrist Support on Throwing in Bowling (볼링 투구 동작 시 손목 지지대 착용에 따른 몸통과 상지 분절의 움직임 변화)

  • Kim, Tae-Sam;Lee, Hoon-Pyo;Han, Hee-Chang
    • Korean Journal of Applied Biomechanics
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    • v.16 no.3
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    • pp.33-41
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    • 2006
  • This study was to analysis three dimension angle of the upper extremity segment and trunk to putting the protector in women bowlers. For this study, the subjects selected 4 players of national and university team. All subjects putted in the same wrist support to satisfy the experiment conditions. To get three dimensions position coordination of swing motion used for 6 ProReflex MCU 240 camera produced by Qualisys. After position coordination calculation, Three dimension angle of the trunk and the upper extremity segment calculated for Matlab 6.5. the result is following; In the trunk motion, there were little differences among the subjects in a flexion and extension change. There were a lot of differences in motion change of the abduction-adduction and internal-external rotation, but the motion types translated to the adduction-abduction-adduction and from the internal rotation toward the external rotation. In the upper arm segment the Flexion and extension showed a consistent motion in the down swing and up swing phase. And the motion change of abduction-adduction and pronation-supination showed a abduction-adduction-abduction and pronation-supination change during swing phase. In the forearm segment changes, it showed a lot of differences among the subjects and a similar change with the upper arm segment. Especially, the hand segment showed a supination motion from the backswing apex to release phase, but for increasing a rotation velocity of ball, the hand segment translated toward pronation in follow throw phase.

A Study on Organistic Line Extension on Digital Space - Focus on NOX digital space - (디지털 공간에 나타난 선의 유기체적 확장성에 관한 연구 - NOX 디지털 공간을 중심으로 -)

  • Yu, Mi-Yeon;Yoon, Jae-Eun
    • Korean Institute of Interior Design Journal
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    • v.17 no.3
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    • pp.148-155
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    • 2008
  • The following research focuses on the formation method of digital space by organistic line extension among various digital formation methods. The paper reflects on the meaning and concept of today's digitalism which enables the application of complex organistic system on space through advanced technology. It also explores the concept of a line in topology which differs in assumptive meaning from traditional Euclidian geometry. The findings of the research are that first, digital space is not optimized, but is a tentative formation in process. A digital space encompasses characteristics such as infinity, possibility, potential, asymmetry, and the force of virtuality such characteristics are expressed through a moving surface constantly changing with direction. Second, a digital space formed by line extension is inseparable and durable since no measurement or dimension is predetermined. Furthermore, its sense of direction and flexibility gives it a feeling of a living organism. Third, a Euclidian methodology called 'NURBS' is being developed to express such a dynamic digital space; this is reflected through three elements, control point, weights, and knots to effectively reflect the characteristics of virtuality. The opportunities of digital space are infinite, and the possibilities of formation methods likewise vast.

The Text Analysis of Plasticity Expressed in the Modern Art to Wear (Part II) - Focused on the West Art Works since 1980s - (현대 예술의상에 표현된 조형성의 텍스트 분석 (제2보) - 1980년대 이후 서구 작가 작품을 중심으로 -)

  • Seo, Seung-Mi;Yang, Sook-Hi
    • Journal of the Korean Society of Clothing and Textiles
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    • v.29 no.7 s.144
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    • pp.926-937
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    • 2005
  • The analysis category of Art to Wear was text analyzed from the research material of 100 projects put together by fashion specialist. The conclusion of Art to Wear was comprehended the general features of it were compared and analyzed from a semiotics context. According to this analysis, the formative features of modern Art to Wear is categorized into three different dimensions from a semiotics light. The formative features of modem Art to Wear in the light of syntactic dimension was divided as an open constructed shape of Space Extension, non-typical Deformation, Geometrical Plasticity. The formative features of modem Art to Wear in the light of semantic dimension express symbolic meaning through metaphorical sign. These sign reflect the body image of the life and death and its objective of Abjection, Hybrid of discultural appearance and the image of Hyper-reality, which are features used to comprehend the inner meaning. The formative features of modem Art to Wear in the light of pragmatic dimension divided the artist emotion and meaning system delivered by Emotive Image, the Phatic Image that arouse inner signification and the Poetic Image which contain artistic and aesthetic meaning within it.

Education Contents Development that Use Thermoelectric Power Plant Generation Facility Third Dimensional Model (3차원 모델을 활용한 발전설비 교육컨텐츠 개발)

  • Kim, Seok-B.;Back, Nam-H.;Son, Kwang-S.;Kim, Joo-Seok;Moon, Seung-Jae;Lee, Jae-Heon
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.362-368
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    • 2008
  • The purpose of this is providing employees who take charge of operation and maintenance at power plant with education contents that can be used for self-studying and on the job training through their computers. We developed the education contents for making actually application possible using this piping and instrument diagram(P&ID), operation and maintenance procedure, unit specification and material of 500MW thermal power plant those include unit equipment 3-dimension animation, character and narration performance considering making teaching plan, flexibility, extension, reuse, maintenance and focusing on user. Specially, we developed the flash type education contents about power plant operation based on the plant 3-dimension animation and the spot real picture concerned about new generation trend for power plant incoming employees actual knowledge. in addition, this contents apparently contributed to improve the level of employees technical power as distributed to employees.

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