• 제목/요약/키워드: Vector

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EXISTENCE RESULTS FOR VECTOR NONLINEAR INEQUALITIES

  • Lee, Suk-Jin;Lee, Byung-Soo
    • 대한수학회논문집
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    • 제18권4호
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    • pp.737-743
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    • 2003
  • The purpose of this paper is to consider some existence results for vector nonlinear inequalities without any monotonicity assumption. As consequences of our main result, we give some existence results for vector equilibrium problem, vector variational-like inequality problem and vector variational inequality problems as special cases.

EUCLIDEAN SUBMANIFOLDS WITH CONFORMAL CANONICAL VECTOR FIELD

  • Chen, Bang-Yen;Deshmukh, Sharief
    • 대한수학회보
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    • 제55권6호
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    • pp.1823-1834
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    • 2018
  • The position vector field x is the most elementary and natural geometric object on a Euclidean submanifold M. The position vector field plays very important roles in mathematics as well as in physics. Similarly, the tangential component $x^T$ of the position vector field is the most natural vector field tangent to the Euclidean submanifold M. We simply call the vector field $x^T$ the canonical vector field of the Euclidean submanifold M. In earlier articles [4,5,9,11,12], we investigated Euclidean submanifolds whose canonical vector fields are concurrent, concircular, torse-forming, conservative or incompressible. In this article we study Euclidean submanifolds with conformal canonical vector field. In particular, we characterize such submanifolds. Several applications are also given. In the last section we present three global results on complete Euclidean submanifolds with conformal canonical vector field.

전기강판의 벡터 자기특성 모델링을 위한 개선된 E&S Vector Hysteresis Model (Improved E&S Vector Hysteresis Model for the Precise Modeling of Vector Magnetic Properties of Electrical Steel Sheet)

  • 송민호;윤희성;고창섭
    • 전기학회논문지
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    • 제60권9호
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    • pp.1684-1692
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    • 2011
  • Recently, several vector hysteresis models such as vector Preisach, vector Jiles-Atherton and dynamic E&S model have been proposed to describe vector magnetic properties of electrical steel sheets. However, it is still difficult to find an adequate vector hysteresis model in finite element application for both the Non-oriented and Grain-oriented electrical steel sheets under alternating and rotating field conditions. In this paper, an improved E&S vector hysteresis model is suggested to describe the vector magnetic properties of both Non-oriented and Grain-oriented electrical steel sheets under various magnetic field conditions including alternating and rotating magnetic field conditions. The validity of the proposed model is tested through comparisons with the experimental results under various magnetic field conditions.

원 위에서의 Nontrivial Complex Equivariant Vector Bundle (Nontrivial Complex Equivariant Vector Bundles over $S^1$)

  • 김성숙
    • 자연과학논문집
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    • 제10권1호
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    • pp.13-16
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    • 1998
  • 원 위에서의 모든 복소 vector bundle은 line bundle로 나누어지며 첫째 Chern class는 복소 line bundle을 분류한다. 이것은 원위에서의 모든 복소 vector bundle은 trivial 하다는 것을 의미한다. 이 논문에서는 군작용이 있을 경우에는 원위에서의 복소 vector bundle중에 trivial하지 않는 bundle이 존재함을 보였다.

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On vector Quasivariational-like inequality

  • Lee, Gue-Myung;Kim, Do-Sang;Lee, Byung-Soo
    • 대한수학회보
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    • 제33권1호
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    • pp.45-55
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    • 1996
  • Recently, Giannessi [1] introduced a vector variational inequalityy for vector-valued functions in an Euclidean space. Since then, Chen et al. [2-6], Lee et al. [7], and Yang [8] have intensively studied vector variational inequalities for vector-valued functions in abstract spaces.

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A Note on Support Vector Density Estimation with Wavelets

  • Lee, Sung-Ho
    • Journal of the Korean Data and Information Science Society
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    • 제16권2호
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    • pp.411-418
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    • 2005
  • We review support vector and wavelet density estimation. The relationship between support vector and wavelet density estimation in reproducing kernel Hilbert space (RKHS) is investigated in order to use wavelets as a variety of support vector kernels in support vector density estimation.

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Investigation on the Effect of Multi-Vector Document Embedding for Interdisciplinary Knowledge Representation

  • 박종인;김남규
    • 지식경영연구
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    • 제21권1호
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    • pp.99-116
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    • 2020
  • Text is the most widely used means of exchanging or expressing knowledge and information in the real world. Recently, researches on structuring unstructured text data for text analysis have been actively performed. One of the most representative document embedding method (i.e. doc2Vec) generates a single vector for each document using the whole corpus included in the document. This causes a limitation that the document vector is affected by not only core words but also other miscellaneous words. Additionally, the traditional document embedding algorithms map each document into only one vector. Therefore, it is not easy to represent a complex document with interdisciplinary subjects into a single vector properly by the traditional approach. In this paper, we introduce a multi-vector document embedding method to overcome these limitations of the traditional document embedding methods. After introducing the previous study on multi-vector document embedding, we visually analyze the effects of the multi-vector document embedding method. Firstly, the new method vectorizes the document using only predefined keywords instead of the entire words. Secondly, the new method decomposes various subjects included in the document and generates multiple vectors for each document. The experiments for about three thousands of academic papers revealed that the single vector-based traditional approach cannot properly map complex documents because of interference among subjects in each vector. With the multi-vector based method, we ascertained that the information and knowledge in complex documents can be represented more accurately by eliminating the interference among subjects.

Park's Vector 기법을 이용한 소형 3상 유도 전동기의 권선 고장 진단 (Stator Winding Fault Diagnosis in Small Three-Phase Induction Motors by Park's Vector Approach)

  • 박규남;한민관;우혁재;송명현
    • 한국정보통신학회논문지
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    • 제7권6호
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    • pp.1291-1296
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    • 2003
  • 본 연구는 3상 소형 유도전동기의 고정자 권선 고장의 효과적인 진단을 위하여 고정자 전류에 대하여 Park's Vector 기법을 적용하였다. 본 기법은 고정자 3상 전류를 측정하여 Park's vector 변환을 통하여 직축, 횡축 전류로 변환하고, 이를 이용하여 고장 진단을 위한 Park's Vector Pattern을 얻어 정상 상태 패턴과 고장 권선 패턴을 비교하였다. 고정자 권선 한 상에 2턴, 10턴, 그리고 20 턴의 단락고장을 발생시켜 정격부하의 25%, 50%, 100% 부하변동에 따른 각각의 Park's Vector Pattern을 비교하여 얻은 실험 결과는 제안한 방법의 유용성을 보여준다.