• Bulletin of the Korean Mathematical Society
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• v.53 no.1
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• pp.83-90
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• 2016

We show that any orthogonal almost complex structure on a warped product Riemannian manifold of an oriented closed surface with nonnegative Gaussian curvature and a round 4-sphere is never integrable. This provides a partial answer to a question raised by E. Calabi.

• Journal of the Korean Mathematical Society
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• v.50 no.2
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• pp.231-240
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• 2013

We discuss the integrability of orthogonal almost complex structures on Riemannian products of even-dimensional round spheres and give a partial answer to the question raised by E. Calabi concerning the existence of complex structures on a product manifold of a round 2-sphere and of a round 4-sphere.

• KIPS Transactions on Software and Data Engineering
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• v.9 no.8
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• pp.243-250
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• 2020

Knowledge graph-based question answering not only requires deep understanding of the given natural language questions, but it also needs effective reasoning to find the correct answers on a large knowledge graph. In this paper, we propose a deep neural network model for effective reasoning on a knowledge graph, which can find correct answers to complex questions requiring multi-hop inference. The proposed model makes use of highly expressive bilinear graph neural network (BGNN), which can utilize context information between a pair of neighboring nodes, as well as allows bidirectional feature propagation between each entity node and one of its neighboring nodes on a knowledge graph. Performing experiments with an open-domain knowledge base (Freebase) and two natural-language question answering benchmark datasets(WebQuestionsSP and MetaQA), we demonstrate the effectiveness and performance of the proposed model.

• Journal of the Korean Mathematical Society
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• v.37 no.2
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• pp.285-295
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• 2000

It is well-known that there is no analogue to the Riemann mapping theorem in the higher dimensional case. Therefore, it would be an interesting question to find sufficient conditionsl for domains to be biholomorphically equivalent to the unit bal. In this paper, we investigate this questionin the case where the given domains are generalized complex ellipsoids with spherical boundary points.

• Bulletin of the Korean Mathematical Society
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• v.39 no.2
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• pp.289-297
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• 2002

It was shown by L. Polterovich ([3]) that if L is a totally real submanifold of a symplectic manifold $(M,\omega)$ and L is parallelizable then L is normal. So we try to find an answer to the question of whether there is a compatible almost complex structure J on the symplectic vector bundle $TM$\mid$_{L}$ such that $TL{\cap}JTL=0$ assuming L is normal and parallelizable. Although we could not reach an answer, we observed that the claim holds at the vector space level. And related to the question, we showed that for a symplectic vector bundle $(M,\omega)$ of rank 2n and $E=E_1{\bigoplus}E_2$, where $E=E_1,E_2$are Lagrangian subbundles of E, there is an almost complex structure J on E compatible with ${\omega}$ and $JE_1=E_2$. And finally we provide a necessary and sufficient condition for a given embedding into a symplectic manifold to be normal.

• Journal of the Korean Mathematical Society
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• v.49 no.2
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• pp.251-263
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• 2012

A CW complex B is said to be I-trivial if there does not exist a $\mathbb{Z}_2$-map from $S^{i-1}$ to S(${\alpha}$) for any vector bundle ${\alpha}$ over B a any integer i with i > dim ${\alpha}$. In this paper, we consider the question of determining whether $\Sigma^k\mathbb{R}P^n$ is I-trivial or not, and to this question we give complete answers when k $\neq$ 1, 3, 8 and partial answers when k = 1, 3, 8. A CW complex B is I-trivial if it is "W-trivial", that is, if for every vector bundle over B, all the Stiefel-Whitney classes vanish. We find, as a result, that $\Sigma^k\mathbb{R}P^n$ is a counterexample to the converse of th statement when k = 2, 4 or 8 and n $\geq$ 2k.

• CELLMED
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• v.5 no.2
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• pp.9.1-9.14
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• 2015

The so-called "Needham's Grand Question" (NGQ) can be formulated as why modern science was developed in Europe despite the earlier successes of science and technology in ancient China. Numerous answers have been proposed. In this review, it will be pointed out that traditional Chinese natural philosophy (TCNP) and traditional Chinese medicine (TCM) are in fact dealing with problems of highly complex dynamical systems of Nature and human beings. Due to the lack of mathematical machinery in dealing with such complex phenomena, a holistic approach was taken by ancient Chinese instead. It was very successful for the first eighteen centuries. In the recent three centuries, however, the reductionist and mechanistic viewpoints of Western natural philosophy, sciences, and medicine have been prevalent all over the world up to now. The main obstacle in preventing the advancement of TCM, TCNP and its sciences is actually the lacking of proper mathematical tools in dealing with complex dynamical systems. Fortunately, the tools are now available and a "chaotic wave theory of fractal continuum" has been proposed recently. To give the theory an operational meaning, three basic laws of TCNP are outlined. These three laws of wave/field interactions contrast readily with those of Newton's particle collisions. Via the proposed three laws, TCM, TCNP and its sciences can be unified under the same principles. Finally, an answer to NGQ can be accurately given. It is hoped that this review will help promoting a genuine understanding of natural philosophy, sciences, and medicine in an ecumenical way.

• Journal of the Korean housing association
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• v.17 no.1
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• pp.145-153
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• 2006

Making of agreement with participation subjects is important process laying stress on presentation and a reasonable design guide line to form space order grant and synthetic space in Housing Complex plan. This study analyzed residing application specific character of design guide line that is presented to architects in general planning laying stress on plan only of 'Bongmu-dong town house' and design agreement of by architectural result that appear analyze. Result that analyze is as following: 1) Confer in 18 plan contents and integrate design or was adjusted. Being main conduct and unit plan and residing only in plan many negotiations accomplish. Architect who confer most Designs of 5 architects is 'Jean Michel Wilmott' and 'Shigeru Ban' 2) contents that confer much in plan main conduct and unit generation were details plan. Contents that is conferred with many architects are about door/core/rooftop be and asked a question about proper size of entrance. Negotiation about size was expose to the tribe of knowledge about element that do furniture and detail of necessary each space in life style of our country. We must present furnitures or detail element that appear by emotion of our country and detailed item of furnitures' size etc.. in guide line. It is immediate that creation of guide that architects can approach easily for lacking abroad architects of interests by code difference in each country is pressing. 3) In residing plan 4 architects of 5 architects applied similarly guide line in design. Most architects look by active support that make synthetic housing complex. and this is construed that act positively to make by unified residing. That plan of woods or landscape architecture and security of green area space are thing to approach on 'Environment-friendly mode of life residing only' that is general planning subject of 'Bongmu-dong town house'. 4) common question items of architects guide line of though is refered definitely when make out effective interests plan. So that can overcome legislation difference, countermeasure to make understood construction code of our country is pressing

• Proceedings of the Korea Information Processing Society Conference
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• 2018.10a
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• pp.621-624
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• 2018

최근 지식 베이스의 발전과 함께 지식 베이스 기반의 질의 응답에 관한 연구가 많은 관심을 받고 있다. 특히 지식 베이스상의 여러 개의 사실이 필요한 복합 질의에 대한 처리의 중요성이 높아지고 있다. 그러나 기존 연구에서는 일반적인 지식을 묻는 질의 처리에만 집중하여, 그 외의 다른 유혀을 갖는 복합 질의에 대한 처리의 연구는 시작 단계에 머물러 있다. 이에 본 논문은 질의 유형 분류기를 활용한 지식 베이스 기반의 복합 질의 응답 시스템을 제안한다. 복합 질의 응답 시스템은 단순 질의를 포함하여 다양한 유형(일반형, 판정형, 비교형)을 갖는 복합 질의를 처리한다. 우리는 실험을 통해서 질의 유형 분류기가 복합 질의 응답 시스템의 정답률을 높임을 보였다.

• Journal of the Economic Geographical Society of Korea
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• v.25 no.1
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• pp.41-59
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• 2022

Does the industrial complex of Korea leading the growth in manufacturing industry play the role of intensifying agglomeration effects? To answer this question, this study empirically analyzes the moderating effects of industrial complex on the relation between agglomeration externalities and regional productivity, which has not been covered by previous researches. To do so, analysis of panel data has been conducted using the regional level data for the period of 2010 to 2019. Empirical results are provided at different levels including the whole country, capital region and non-capital region. As a result, it was found that in non-capital region, environments to strengthen positive agglomeration externalities stemming from specialization and diversity in manufacturing through industrial complex whithin the region are built up. However, moderating effects of industrial complex is quite limited in capital region. This implies that the role of industrial complex needs to be importantly reconsidered in the perspective of maximization of agglomeration effects in manufacturing, revitalization of non-capital area and manufacturing innovation.