• Title/Summary/Keyword: correspondence

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ON IDEALS, FILTERS AND CONGRUENCES IN INCLINES

  • Yao, Wei;Han, Song-Chol
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.3
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    • pp.591-598
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    • 2009
  • This paper studies the relations between ideals, filters, regular congruences and normal congruences in inclines. It is shown that for any incline, there are a one-to-one correspondence between all ideals and all regular congruences and a one-to-one correspondence between all filters and all normal congruences.

COMPARISON OF MIRROR FUNCTORS OF ELLIPTIC CURVES VIA LG/CY CORRESPONDENCE

  • Lee, Sangwook
    • Journal of the Korean Mathematical Society
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    • v.57 no.5
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    • pp.1135-1165
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    • 2020
  • Polishchuk-Zaslow explained the homological mirror symmetry between Fukaya category of symplectic torus and the derived category of coherent sheaves of elliptic curves via Lagrangian torus fibration. Recently, Cho-Hong-Lau found another proof of homological mirror symmetry using localized mirror functor, whose target category is given by graded matrix factorizations. We find an explicit relation between these two approaches.

ON CERTAIN HYPERPLANE ARRANGEMENTS AND COLORED GRAPHS

  • Song, Joungmin
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.375-382
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    • 2017
  • We exhibit a one-to-one correspondence between 3-colored graphs and subarrangements of certain hyperplane arrangements denoted ${\mathcal{J}}_n$, $n{\in}{\mathbb{N}}$. We define the notion of centrality of 3-colored graphs, which corresponds to the centrality of hyperplane arrangements. Via the correspondence, the characteristic polynomial ${\chi}{\mathcal{J}}_n$ of ${\mathcal{J}}_n$ can be expressed in terms of the number of central 3-colored graphs, and we compute ${\chi}{\mathcal{J}}_n$ for n = 2, 3.

An Empirical Study on Mobile Advertisement Business(S Telecom Case)

  • Koh, Bong-Sung;Lee, Seok-Won
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.1
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    • pp.81-96
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    • 2007
  • The headline of advertisements holds the important position in advertisement recognition and receptivity. In this paper, we classified the headlines as several types with measuring the response effects for purpose of understanding the customer's behavior. Also we conducted the decision tree analysis and correspondence analysis. The decision tree shows the difference between responders and non-responders, and the correspondence analysis shows the relationship between the sales and the customer's demographic information.

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stereo vision for monochromatic surface recognition based on competitive and cooperative neural network

  • Kang, Hyun-Deok;Jo, Kang-Hyun
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.41.2-41
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    • 2002
  • The stereo correspondence of two retinal images is one of the most difficult problems in stereo vision because the reconstruction of 3-D scene is a typical visual ill-posed problem. So far there still have been many unsolved problems, one of which is to reconstruct 3-D scene for a monochromatic surface because there is no clue to make a correspondence between two retinal images. We consider this problem with two layered self-organization neural network to simulate the competitive and cooperative interaction of binocular neurons. A...

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Comparison of Variability in SCA Maps Using the Procrustes Analysis

  • Yun, Woo-Jung;Choi, Yong-Seok
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.05a
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    • pp.163-165
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    • 2003
  • Some multivariate analyses provide configurations for variables or objects in low dimensional space because we can see easily their relation. In particular, in simple correspondence analysis(SCA), we can obtain the various configurations which are called SCA Maps based on the algebraic algorithms. Moreover, it often occur the variability among them. Therefore, in this study, we will give a comparison of variability of SCA maps using the procrustes analysis which is a technique of comparing configurations in multidimensional scaling.

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Stereopsis with cellular neural networks (국소적인 연결을 갖는 신경회로망을 이용한 스테레오 정합)

  • 박성진;채수익
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.12
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    • pp.124-131
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    • 1994
  • In this paper, we propose a new approach of solving the stereopsis problem with a discrete-time cellular neural network(DTCNN) where each node has connections only with its local neithbors. Because the matching process of stereo correspondence depends on its geometrically local characteristics, the DTCNN is suitable for the stereo correspondence. Moreover, it can be easily implemented in VLSI. Therefore, we employed a two-layer DTCNN with dual templates, which are determined with the back propagation learning rule. Based on evaluation of the proposed approach for several random-dot stereograms, its performance is better than that of the Marr-Poggio algorithm.

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