• 대한수학회보
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• 제53권1호
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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.

• 대한수학회지
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• 제50권2호
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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.

• 정보처리학회논문지:소프트웨어 및 데이터공학
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• 제9권8호
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• pp.243-250
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• 2020

지식 그래프 기반의 질문 응답 문제는 자연어 질문들에 대한 깊은 이해뿐만 아니라, 대규모 지식 그래프 상에서 올바른 답변을 찾기 위한 효과적인 추론 능력을 필요로 한다. 본 논문에서는 다중 홉 추론을 요구하는 복잡한 자연어 질문에 대해 연관 지식 그래프 위에서 답변 추론을 효과적으로 수행할 수 있는 심층 신경망 모델을 제안한다. 제안 모델에서는 지식 그래프 상의 각 개체 노드와 이웃 노드 간의 양방향 특징 전파를 허용할뿐만 아니라, 두 이웃 노드 쌍 간의 맥락 정보까지 활용할 수 있는, 표현력이 뛰어난 쌍 선형 그래프 신경망(BGNN)을 이용한다. 본 논문에서는 오픈 도메인의 지식 베이스인 Freebase, 자연어 질문 응답을 위한 벤치마크 데이터 집합들인 WebQuestionsSP와 MetaQA를 이용한 실험들을 통해, 제안 모델의 효과와 우수성을 확인하였다.

• 대한수학회지
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• 제37권2호
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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.

• 대한수학회보
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• 제39권2호
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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.

• 대한수학회지
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• 제49권2호
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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.

• 셀메드
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• 제5권2호
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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.

• 한국주거학회논문집
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• 제17권1호
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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

• 한국정보처리학회:학술대회논문집
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• 한국정보처리학회 2018년도 추계학술발표대회
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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.

• 한국경제지리학회지
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• 제25권1호
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• pp.41-59
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• 2022

우리나라 제조업 성장을 견인해 온 산업단지는 지역 단위에서 제조업 집적의 외부효과를 강화하는 수단으로서 기능하는가? 본 연구는 질문의 답을 위해 제조업 집적과 지역경제 생산성 간 관계에서 산업단지 조절효과를 분석함으로써 기존 선행연구에서 다루지 않은 집적효과 논의를 수행하였다. 2010-2019년 기간의 전국 시군구를 대상으로 한 불균형패널자료를 활용하여 패널분석을 실시하였으며, 전국, 수도권 그리고 비수도권을 구분하여 추정한 결과를 제시하였다. 분석 결과 비수도권의 경우 제조업 특화와 다양성 증가에 따른 긍정적 외부효과가 산업단지를 통해 더욱 강화되어 나타나는 환경이 조성된 반면 수도권에서는 산업단지의 조절효과가 제한적인 것으로 나타났다. 이러한 결과는 제조업 집적효과 극대화, 비수도권의 경제 활성화, 제조업 혁신을 위한 정책수단으로서 산업단지 역할을 재조명할 수 있는 측면에서 시사하는 바가 크다.