• Title/Summary/Keyword: 텐서

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Closed-form Expressions of Magnetic Field and Magnetic Gradient Tensor due to a Circular Disk (원판형 이상체에 의한 자력 및 자력 변화율 텐서 반응식)

  • Rim, Hyoungrea
    • Geophysics and Geophysical Exploration
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    • v.25 no.1
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    • pp.38-43
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    • 2022
  • In case axial symmetrical bodies with varying cross sections such as volcanic conduits and unexploded ordnance (UXO), it is efficient to approximate them by adding the response of thin disks perpendicular to the axis of symmetry. To compute the vector magnetic and magnetic gradient tensor respones by such bodies, it is necessary to derive an analytical expression of the circular disk. Therefore, in this study, we drive closed-form expressions of the vector magnetic and magnetic gradient tensor due to a circular disk. First, the vector magnetic field is obtained from the existing gravity gradient tensor using Poisson's relation where the gravity gradient tensor due to the same disk with a constant density can be transformed into a magnetic field. Then, the magnetic gradient tensor is derived by differentiating the vector magnetic field with respect to the cylindrical coordinates converted from the Cartesian coordinate system. Finally, both the vector magnetic and magnetic gradient tensors are derived using Lipschitz-Hankel type integrals based on the axial symmetry of the circular disk.

Extraction of Text Alignment by Tensor Voting and its Application to Text Detection (텐서보팅을 이용한 텍스트 배열정보의 획득과 이를 이용한 텍스트 검출)

  • Lee, Guee-Sang;Dinh, Toan Nguyen;Park, Jong-Hyun
    • Journal of KIISE:Software and Applications
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    • v.36 no.11
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    • pp.912-919
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    • 2009
  • A novel algorithm using 2D tensor voting and edge-based approach is proposed for text detection in natural scene images. The tensor voting is used based on the fact that characters in a text line are usually close together on a smooth curve and therefore the tokens corresponding to centers of these characters have high curve saliency values. First, a suitable edge-based method is used to find all possible text regions. Since the false positive rate of text detection result generated from the edge-based method is high, 2D tensor voting is applied to remove false positives and find only text regions. The experimental results show that our method successfully detects text regions in many complex natural scene images.

Measuring Deformation of Cable in the Tensegrity Structure by Optical FBG Sensor (FBG센서를 이용한 텐서그리티 구조의 변형 계측)

  • Lee, Seung-Jae;Lee, Chang-Woo;Ju, Gi-Su
    • Proceeding of KASS Symposium
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    • 2008.05a
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    • pp.189-194
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    • 2008
  • The main object of this paper is that it's possible to monitoring the deformation of cable in the tensegrity structure. always monitoring system of Fiber Bragg Grating(FBG)Sensor is described. The measurement of parts on the cable is very important. We make an experiment with measuring deformation of cable in the tensegrity structure to the pressure conditions. In the result of experiment, the fiber sensors showed good response to the pressure conditions. Therefore, We could calculate the deformation of cable structure and be possible health monitoring of the tensegrity structure.

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금산지역 균열암반 대수층에서의 수리이방성 해석

  • 강철희;이철우;김용제;김구영;조용찬
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2003.04a
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    • pp.221-224
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    • 2003
  • 이 연구는 국내의 균열암반에 대한 지하수 유동 연구가 대수층이 등방이라는 가정하에 진행피고 있는 방법에서 벗어나 대수층이 이방성을 띤다는 가정하에 대수층의 수리적 이방성을 해석하는데 중점을 두었다. 수리시험은 30.91 $m^3$/day로 BH-1공에서 300분간 양수였으며, 각각의 관측공 BH-2, BH-3, BH-4, 및 BH-5공에서 시간에 따른 수위강하를 관측하였다. 수리시험에 의해 얻어진 시간별 수위강하 자료를 이용하여 Jacob(1950)의 직선법에 의해서 직선의 기울기(m)와 수위강하가 영이 되는 지점에서의 시간( $t_{0}$)을 계산하였다. 대수층의 수리학적 이방성 텐서 (tensor) 즉, 최대투수량계수텐서 ( $T_{ξξ}$)와 최소투수량계수텐서 ( $T_{ηη}$)를 산출하기 위해서 Stewart(1973)에 의해서 정립된 정규최소제곱(Ordinary least-square)방법을 적용하였으며, 이 방법은 관측공이 최소한 4개를 필요로 한다. 그 결과로, $T_{ξξ}$는 12.21 $m^2$/day이고 $T_{ηη}$는 10.47 $m^2$/day로 산출되었다. 최대투수량계수텐서의 방향은 Nl9.13$^{\circ}$E 이고 이방성율은 1.17로 산출되었다. BH-1공에서 수리시험시 대수층의 이방성은 등방성에 가깝게 표현되었다. 이는 연구지역 대수층이 다수의 균열에 의해서 수리적 상호연결성이 고루 분포된 것으로 판단된다.

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이방성대수층에서의 투수량계수 텐서

  • 강철희;이대하;이철우;김용제;채병곤;우남칠
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2001.09a
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    • pp.172-175
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    • 2001
  • 이 연구에서는 5개의 시추공에 대한 양수시험을 실시하여 대수층의 수리학적 이방성과 지하수의 주 유동방향을 규명하고자 하였다. 코아검층 및 초음파주사검층을 통해 각각의 공에 대한 균열방향을 결정하고 이를 토대로 통합해본 결과 크게 세 방향의 균열군이 집중성을 보였다. 가장 빈도가 높은 균열의 방향은 N0$^{\circ}$~40$^{\circ}$E/30$^{\circ}$~50$^{\circ}$SE 그리고 N30$^{\circ}$~ 80 $^{\circ}$W/20$^{\circ}$~50$^{\circ}$ NE이 방향이 함께 나타났으며 두 번째 균열의 방향은 N0$^{\circ}$ ~50$^{\circ}$E/60$^{\circ}$ ~80$^{\circ}$NW로 나타났다. 세 번째 방향은 N30$^{\circ}$~50 $^{\circ}$W/70$^{\circ}$~80$^{\circ}$SW방향의 균열로 구성된다. 이처럼 지표하에서는 크게 세 방향의 균열이 다른 방향을 보이는 균열에 비해 상대적으로 큰 빈도를 가지며 발달하고 있음을 알 수 있다. 대수층이 이방성이고 균질하다는 가정하에 양수시험을 실시하여 각각의 공에 대한 최대 투수량계수 ( $T_{{\varepsilon}{\varepsilon}}$)와 최소 투수량계수 ( $T_{ηη}$)값을 산출하고 주 텐서방향 ($\theta$)을 결정하였다. 그 결과 BH-1, BH-4, BH=5공을 제외한 BH-2, BH-3호공에서의 이방성 투수량계수텐서값은 이 논문의 가정인 대수층이 이방성이고 균질하다는 가정에 일치하지 않았다. 따라서 원형좌표계에 도시하였을 때 다른 공에 비해서 비균질성이 심한 결과로 인해 이방성타원체 에서 많이 벗어남을 보였다. 이로인해 3개의 공 BH-1, BH-4, BH-5호공을 사용하여 대수층의 이방성을 분석하여 보았다. BH-1호공에서의 $T_{{\varepsilon}{\varepsilon}}$는 171.90 $m^2$/day, $T_{ηη}$는 71.0l $m^2$/day이고 주 텐서방향은 Nl5.39$^{\circ}$ E로 나타났다. BH-4호공의 $T_{{\varepsilon}{\varepsilon}}$는 268.20 $m^2$/day, $T_{ηη}$는 28.75 $m^2$/day이고 주 텐서방향은 N7.55$^{\circ}$E이며 BH-5호공에서의 $T_{{\varepsilon}{\varepsilon}}$는 168.40 $m^2$/day, $T_{ηη}$는 66.80 $m^2$/day이고 주 텐서방향은 N76.59$^{\circ}$E로 나타났다. 이처럼 연구지역에서의 각각의 공에 대한 투수량계수텐서는 서로 다르게 나타났으며 이에 따른 주 텐서방향도 서로 다름을 알 수 있다.

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Determination of the Location of a Line Source using Gravity Gradient Tensor (중력 변화율 텐서를 이용한 선형 이상체 위치 결정)

  • Park, Changseok;Rim, Hyoungrea
    • Journal of the Korean earth science society
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    • v.38 no.4
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    • pp.263-268
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    • 2017
  • The determination algorithm of the location of a line source with strike and dip using the gravity gradient tensor on a single profile is proposed. We already proposed the determination of strike and dip in the previous paper and then, now we improved the algorithm to locate a line source after determining strike and dip. The strike and dip of the line source can be determined by rotating the gravity gradient tensor matrix as reducing 2 independent components. Using the ratio of remaining 2 components, the location can be determined by the least square manner of the pointing vectors on each observation point. A synthetic model is tested for proving the usefulness of the proposed algorithm.

A Study on Reformability and Application of Tensegrity Modules (텐서그러티 모듈의 변형 및 응용에 관한 연구)

  • Choi, Sun-Young;Park, Sun-Woo;Park, Chan-Soo
    • Journal of Korean Association for Spatial Structures
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    • v.5 no.2 s.16
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    • pp.73-79
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    • 2005
  • Tensegrity is a relatively new structural system based on the use of continuous tension-discontinuous compression. Of course, a much more detailed structural investigation would be necessary, but at least in order to achieve the intended purpose, it is essential to understand the structural principles and the fundamental forces of tensegrity. Once this point is established, the applications of them to architecture are described, as well as the characteristics of these structures. Then, in spite of the controversial definitions to explain these systems, several examples of tensegrity prototypes or modules constructed in iESD(Institute of Environmental Structure Design) are presented to illustrate the feasibility of tensegrity as a lightweight structure. In this work, consequently, the reformability and application of tensegrity modules have also been researched in architecture, after the patterns of basic module as well as fundamental definition are introduced.

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Automatic Expansion of ConceptNet by Using Neural Tensor Networks (신경 텐서망을 이용한 컨셉넷 자동 확장)

  • Choi, Yong Seok;Lee, Gyoung Ho;Lee, Kong Joo
    • KIPS Transactions on Software and Data Engineering
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    • v.5 no.11
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    • pp.549-554
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    • 2016
  • ConceptNet is a common sense knowledge base which is formed in a semantic graph whose nodes represent concepts and edges show relationships between concepts. As it is difficult to make knowledge base integrity, a knowledge base often suffers from incompleteness problem. Therefore the quality of reasoning performed over such knowledge bases is sometimes unreliable. This work presents neural tensor networks which can alleviate the problem of knowledge bases incompleteness by reasoning new assertions and adding them into ConceptNet. The neural tensor networks are trained with a collection of assertions extracted from ConceptNet. The input of the networks is two concepts, and the output is the confidence score, telling how possible the connection between two concepts is under a specified relationship. The neural tensor networks can expand the usefulness of ConceptNet by increasing the degree of nodes. The accuracy of the neural tensor networks is 87.7% on testing data set. Also the neural tensor networks can predict a new assertion which does not exist in ConceptNet with an accuracy 85.01%.

Analysis of Tensor Processing Unit and Simulation Using Python (텐서 처리부의 분석 및 파이썬을 이용한 모의실행)

  • Lee, Jongbok
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.19 no.3
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    • pp.165-171
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    • 2019
  • The study of the computer architecture has shown that major improvements in price-to-energy performance stems from domain-specific hardware development. This paper analyzes the tensor processing unit (TPU) ASIC which can accelerate the reasoning of the artificial neural network (NN). The core device of the TPU is a MAC matrix multiplier capable of high-speed operation and software-managed on-chip memory. The execution model of the TPU can meet the reaction time requirements of the artificial neural network better than the existing CPU and the GPU execution models, with the small area and the low power consumption even though it has many MAC and large memory. Utilizing the TPU for the tensor flow benchmark framework, it can achieve higher performance and better power efficiency than the CPU or CPU. In this paper, we analyze TPU, simulate the Python modeled OpenTPU, and synthesize the matrix multiplication unit, which is the key hardware.

Effects of 3-D Fracture Tensor Parameters on Deformability of Fractured Rock Masses (삼차원 절리텐서 파라미터가 절리성 암반의 변형특성에 미치는 영향)

  • Ryu, Seongjin;Um, Jeong-Gi
    • Tunnel and Underground Space
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    • v.31 no.1
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    • pp.66-81
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    • 2021
  • The effects of directional fracture tensor components and first invariant of fracture tensor on deformation moduli and shear moduli of fractured rock masses is analyzed based on regression analysis performed between 3-D fracture tensor parameters and deformability of DFN blocks. Using one or two deterministic joint sets, a total of 224 3-D discrete fracture network (DFN) cube blocks were generated with various configurations of deterministic density and probabilistic size distribution. The fracture tensor parameters were calculated for each generated DFN systems. Also, deformability moduli with respect to three perpendicular direction of the DFN cube blocks were estimated based on distinct element method. The larger the first invariant of fracture tensor, the smaller the values for the deformability moduli of the DFN blocks. These deformability properties present an asymptotic pattern above the certain threshold. It is found that power-law function describes the relationship between the directional deformability moduli and the corresponding fracture tensor components estimated in same direction.