• 제목/요약/키워드: normal map

검색결과 384건 처리시간 0.021초

ASYMPTOTIC DIRICHLET PROBLEM FOR HARMONIC MAPS ON NEGATIVELY CURVED MANIFOLDS

  • KIM SEOK WOO;LEE YONG HAH
    • 대한수학회지
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    • 제42권3호
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    • pp.543-553
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    • 2005
  • In this paper, we prove the existence of nonconstant bounded harmonic maps on a Cartan-Hadamard manifold of pinched negative curvature by solving the asymptotic Dirichlet problem. To be precise, given any continuous data f on the boundary at infinity with image within a ball in the normal range, we prove that there exists a unique harmonic map from the manifold into the ball with boundary value f.

A Study of Cave in NewZealand

  • Emberson, R.;Cody, A.;Kermode, L.
    • 동굴
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    • 제8호
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    • pp.19-42
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    • 1998
  • The Bullock Creek Caves are located adjacent to the usually dry river bed of Bullock Creek, which reaches the sea about a kilometer north of Punakaiki. The caves have been comprehensively written up by Rodgers(972). Under conditions of normal water flow Bullock Creek submerges where the stream meets limestone on the west side of their Punakaiki syncline. In flood conditions it overflows the first submergence and progressively floods a series of smaller submergences down valley until it comes to the caves shown on the map. All these with the exception of Wazpretti Cave and Dry Valley Cave are probably more or less flooded during and after heavy rain.(omitted)

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가토의 급성 뇌경색에서 관류 및 확산강조 자기공명영상 (Acute Cerebral Infarction in a Rabbit Model: Perfusion and Diffusion MR Imaging)

  • 허숙희;임남열;정광우;윤웅;김윤현;정용연;정태웅;김정;박진균;강형근;서정진
    • Investigative Magnetic Resonance Imaging
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    • 제7권2호
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    • pp.116-123
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    • 2003
  • 목적 : 가토 모델을 이용한 급성 허혈성 뇌경색에서 확산강조 자기공명영상과 관류자기공명영상의 유용성에 대해 알아보고자 하였다. 대상 및 방법 : 여섯 마리의 순계 가토의 경동맥에 히스토아크릴글루와 리피오돌 및 텅스텐 파우더를 동맥내 주입하여 뇌경색을 유발한 후 1시간 내에 고식적인 T1 및 T2 강조영상, 그리고 확산강조 자기공명영상과 관류자기공명영상을 획득하였다. 관류자기공명영상은 측내실 수준과 대뇌기저핵의 1cm 상방에서 각각 얻었고, 이 영상을 특수 영상 소프트웨어로 후처리하여 뇌혈류 용적 , 뇌혈류양 및 평균 조영제 통과시간을 포함한 관류 영상을 획득하였다. 뇌경색 부위는 각각의 관류 지도와 확산강조 자기공명영상으로 평가하였다. 뇌경색 부위와 반대편 정상 부위에서 조영제 평균 통과시간 차이를 측정하였다. 결과 : 모든 가토에서 T2 강조영상상 비정상 신호강도는 없었으나 확산강조 자기공명영상에서 고신호강도의 뇌경색 병변을 확인할 수 있었다. 상대적 뇌혈류용적, 뇌혈류양 및 평균 조영제 통과시간을 포함한 관류자기공명영상에서 모두 관류 결손을 인지할 수 있었다. 뇌혈류양과 평균 조영제 통과시간 지도에서 관류결손지역으로 나타난 면적의 비교는 6예 중 4예에서 평균 조영제 통과시간 지도가 뇌혈류양 지도보다 면적이 크게 나왔으며, 2예는 같았다. 평균 조영제 통과시간 지도의 관류결손 면적이 뇌혈류양 지도보다 작게 나온 경우는 없었다. 또한 뇌혈류양 지도에서 병변의 면적은 확산강조 자기공명영상에서의 병변의 면적보다 3예에서 넓게 나타났고, 3예에서 같게 나타났다. 평균 조영제 통과시간 지도에서 병변의 면적은 확산강조 자기공명영상에서의 병변의 면적보다 모두 크게 나타났다. 평균 조영제 통과시간 지도에서 병변의 면적이 뇌혈류양 지도에서 병변의 면적보다 크면서 확산강조 자기공명영상에서와 같은 경우가 3예, 뇌혈류양 지도에서 병변의 면적이 확산강조 자기공명영상에서와 같으며 평균 조영제 통과시간 지도에서 병변의 면적보다 작은 경우가 3예, 그리고 평균 조영제 통과시간 지도에서 병변의 면적이 뇌혈류양 지도의 병변의 면적보다 크면서 확산강조 자기공명영상에서의 면적이 가장 적은 경우가 1예 있었다. 결론 : 확산강조 자기공명영상과 관류자기공명영상은 가토에서 초급성 뇌경색을 진단하고 뇌혈류 역학상태를 평가하는데 유용한 기법이라고 생각된다.

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ALGEBRAIC STRUCTURES IN A PRINCIPAL FIBRE BUNDLE

  • Park, Joon-Sik
    • 충청수학회지
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    • 제21권3호
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    • pp.371-376
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    • 2008
  • Let $P(M,G,{\pi})=:P$ be a principal fibre bundle with structure Lie group G over a base manifold M. In this paper we get the following facts: 1. The tangent bundle TG of the structure Lie group G in $P(M,G,{\pi})=:P$ is a Lie group. 2. The Lie algebra ${\mathcal{g}}=T_eG$ is a normal subgroup of the Lie group TG. 3. $TP(TM,TG,{\pi}_*)=:TP$ is a principal fibre bundle with structure Lie group TG and projection ${\pi}_*$ over base manifold TM, where ${\pi}_*$ is the differential map of the projection ${\pi}$ of P onto M. 4. for a Lie group $H,\;TH=H{\circ}T_eH=T_eH{\circ}H=TH$ and $H{\cap}T_eH=\{e\}$, but H is not a normal subgroup of the group TH in general.

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사전위치정보를 이용한 도심 영상의 의미론적 분할 (Semantic Segmentation of Urban Scenes Using Location Prior Information)

  • 왕정현;김진환
    • 로봇학회논문지
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    • 제12권3호
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    • pp.249-257
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    • 2017
  • This paper proposes a method to segment urban scenes semantically based on location prior information. Since major scene elements in urban environments such as roads, buildings, and vehicles are often located at specific locations, using the location prior information of these elements can improve the segmentation performance. The location priors are defined in special 2D coordinates, referred to as road-normal coordinates, which are perpendicular to the orientation of the road. With the help of depth information to each element, all the possible pixels in the image are projected into these coordinates and the learned prior information is applied to those pixels. The proposed location prior can be modeled by defining a unary potential of a conditional random field (CRF) as a sum of two sub-potentials: an appearance feature-based potential and a location potential. The proposed method was validated using publicly available KITTI dataset, which has urban images and corresponding 3D depth measurements.

ON SOME PROPERTIES OF MALCEV-NEUMANN MODULES

  • Zhao, Renyu;Liu, Zhongkui
    • 대한수학회보
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    • 제45권3호
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    • pp.445-456
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    • 2008
  • Let M be a right R-module, G an ordered group and ${\sigma}$ a map from G into the group of automorphisms of R. The conditions under which the Malcev-Neumann module M* ((G)) is a PS module and a p.q.Baer module are investigated in this paper. It is shown that: (1) If $M_R$ is a reduced ${\sigma}$-compatible module, then the Malcev-Neumann module M* ((G)) over a PS-module is also a PS-module; (2) If $M_R$ is a faithful ${\sigma}$-compatible module, then the Malcev-Neumann module M* ((G)) is a p.q.Baer module if and only if the right annihilator of any G-indexed family of cyclic submodules of M in R is generated by an idempotent of R.

ANALYSIS OF A STAGE-STRUCTURED PREDATOR-PREY SYSTEM WITH IMPULSIVE PERTURBATIONS AND TIME DELAYS

  • Song, Xinyu;Li, Senlin;Li, An
    • 대한수학회지
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    • 제46권1호
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    • pp.71-82
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    • 2009
  • In this paper, a stage-structured predator-prey system with impulsive perturbations and time delays is presented to investigate the ecological problem of how a pest population and natural enemy population can coexist. Sufficient conditions are obtained using a discrete dynamical system determined by a stroboscopic map, which guarantee that a 'predator-extinction' periodic solution is globally attractive. When the impulsive period is longer than some time threshold or the impulsive harvesting rate is below a control threshold, the system is permanent. Our results provide some reasonable suggestions for pest management.

TiN 박막의 탄소성 유한요소해석 (Elastic-Plastic Finite Element Analysis of TiN Thin Film)

  • 김정실;김석삼
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2001년도 제34회 추계학술대회 개최
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    • pp.331-340
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    • 2001
  • Elastic-Plasitc Finite element analysis is peformed about the TiN coated medium. The normal contact is simulated by a rigid asperity pressing the surface of an elastic-plastic half-surface. The case of a surface film stiffer than the substrate is considered, and general solutions for the subsurface stress and deformation fields are presented for several coating thickness. Additionally, the critical normal loads for deformation in the substrate and coating fracture are calculated when the yield of TiN film follows the Maximum Principal Stress Theory and Von Mises Theory. The results can be subsumed in failure maps for TiN thin film on steel.

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자기조직화 지도를 이용한 반도체 패키지 내부결함의 패턴분류 알고리즘 개발 (The Development of Pattern Classification for Inner Defects in Semiconductor packages by Self-Organizing map)

  • 김재열;윤성운;김훈조;김창현;송경석;양동조
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2002년도 추계학술대회 논문집
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    • pp.80-84
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    • 2002
  • In this study, researchers developed the est algorithm for artificial defects in the semic packages and performed to it by pattern recogn technology. For this purpose, this algorithm was I that researcher made software with matlab. The so consists of some procedures including ultrasonic acquistion, equalization filtering, self-organizing backpropagation neural network. self-organizing ma backpropagation neural network are belong to metho neural networks. And the pattern recognition tech has applied to classify three kinds of detective pa semiconductor packages. that is, crack, delaminat normal. According to the results, it was found estimative algorithm was provided the recognition r 75.7%( for crack) and 83.4%( for delamination) 87.2 % ( for normal).

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THE KERNELS OF THE LINEAR MAPS OF FINITE GROUP ALGEBRAS

  • Dan Yan
    • 대한수학회보
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    • 제61권1호
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    • pp.45-64
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    • 2024
  • Let G be a finite group, K a split field for G, and L a linear map from K[G] to K. In our paper, we first give sufficient and necessary conditions for Ker L and Ker L ∩ Z(K[G]), respectively, to be Mathieu-Zhao spaces for some linear maps L. Then we give equivalent conditions for Ker L to be Mathieu-Zhao spaces of K[G] in term of the degrees of irreducible representations of G over K if G is a finite Abelian group or G has a normal Sylow p-subgroup H and L are class functions of G/H. In particular, we classify all Mathieu-Zhao spaces of the finite Abelian group algebras if K is a split field for G.