• 대한수학회보
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• 제57권3호
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• pp.569-581
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• 2020

In this paper, we introduce the new general concept of usual expansiveness which is called "positively weak measure expansiveness" and study the basic properties of positively weak measure expansive C¹-differentiable maps on a compact smooth manifold M. And we prove that the following theorems. (1) Let 𝓟𝓦𝓔 be the set of all positively weak measure expansive differentiable maps of M. Denote by int(𝓟𝓦𝓔) is a C¹-interior of 𝓟𝓦𝓔. f ∈ int(𝓟𝓦𝓔) if and only if f is expanding. (2) For C¹-generic f ∈ C¹ (M), f is positively weak measure-expansive if and only if f is expanding.

• 대한수학회보
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• 제52권1호
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• pp.69-83
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• 2015

In this paper we introduce and study the separable weak bounded approximation properties which is strictly stronger than the approximation property and but weaker than the bounded approximation property. It provides new sufficient conditions for the metric approximation property for a dual Banach space.

• 충청수학회지
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• 제3권1호
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• pp.33-40
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• 1990

We prove that if a $weak^*$-measurable function f defined on a finite measure space into a dual Banach space is separable-like, then for every measurable set E, the $weak^*$ core of f over E is the $weak^*$ convex closed hull of the $weak^*$ essential range of f over E.

• 충청수학회지
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• 제3권1호
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• pp.121-124
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• 1990

In this paper, we introduce the notion of the compact range property and $weak^*$ Radon Nikodym property. We prove that the compact range property, weak Radon Nikodym property and $weak^*$ Radon Nikodym property in dual Banach space are all equivalent. Other related results and discussed.

• 충청수학회지
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• 제26권3호
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• pp.547-556
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• 2013

We investigate complemented Banach sublattices of the Banach envelope of $WeakL^1$. In particular, the Banach envelope of $WeakL^1$ contains a complemented Banach sublattice that is isometrically isomorphic to a separable reflexive Banach lattice.

• 대한수학회논문집
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• 제38권1호
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• pp.97-112
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• 2023

In this paper, we introduce and study the u-S-weak global dimension u-S-w.gl.dim(R) of a commutative ring R for some multiplicative subset S of R. Moreover, the u-S-weak global dimensions of factor rings and polynomial rings are investigated.

• Korean Journal of Mathematics
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• 제21권3호
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• pp.351-363
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• 2013

We study the properties of weak extended order algebras having adjoint pairs (triples) or Galois pairs. In particular, we investigate the various laws on weak extended order algebras.

• 충청수학회지
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• 제21권2호
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• pp.287-292
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• 2008

We introduce jointly weak subnormal operators. It is shown that if $T=(T_1,T_2)$ is subnormal then T is weakly subnormal and if f $T=(T_1,T_2)$ is weakly subnormal then T is hyponormal. We discuss the flatness of weak subnormal operators.

• 천문학회보
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• 제39권2호
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• pp.45.2-45.2
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• 2014

To measure the mass distribution of galaxy systems weak-lensing analysis has been widely used because it directly measures the total mass of a system regardless of its baryon content and dynamical state. However, the weak-lensing only provides a map of projected surface mass density. On the other hand, galaxy redshift surveys provide a map of the three-dimensional galaxy distribution. It thus can resolve the structures along the line of sight projected in the weak-lensing map. Therefore, the comparison of structures identified in the weak-lensing maps and in the redshift surveys is an important test of the issues limiting applications of weak-lensing to the identification of galaxy clusters. Geller et al. (2010) and Kurtz et al. (2012) compared massive clusters identified in a dense redshift survey with significant weak-lensing map convergence peaks. Both assessments of the efficiency of weak-lensing map for cluster identification did not draw a general conclusion, because the sample is so small. Thus, we additionally perform deep imaging observations of fields in a dense galaxy redshift survey that contain galaxy clusters at z~0.2-0.5, using CFHT Megacam.

• 기술혁신학회지
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• 제12권1호
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• pp.189-211
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• 2009

본 연구에서는 최근 변화무쌍한 미래 환경에 대처하기 위한 세부적인 환경분석 방법론의 하나로 활발하게 연구되고 있는 weak signal에 대한 탐색 프로세스를 체계화 하고자 하였다. 또한 글로벌 모니터링, 트렌드 분석, 브레인스토밍, 델파이 등의 기법을 토대로 한 정성적 방법과 weak signal tracking board의 개발을 통한 정량적인 방법을 적용하여, 미시적인 환경변화 분석 프로세스(NEST : New & Emerging Signals of Trends)와 이를 적용한 KISTI 이머징 시그널 분석 결과를 제시 하고자 하였다. 구체적으로 환경변화 관련 씨앗 정보를 탐색하기 위한 글로벌 모니터링 체제, weak signal 트래킹 보드를 활용한 약한 신호 분석 단계, study-watch 프레임워크를 토대로 한 up-coming trend 스캐닝 단계, 연구 결과의 객관화를 위한 전문가들의 델파이 평가 단계 등으로 세부 모듈을 설계하였다. 본 프로세스의 결과물인 미래에 큰 변화를 가져올 가능성이 있는 유망기술의 씨앗정보인 weak signal과 새로운 트렌드의 형성 가능 초기조짐정보인 up-coming trend는 우리나라의 차세대 수종 산업(유망기술)을 선정하는 데 활용가능하다. 특히 NEST 프로세스는 소규모 인력으로도 효율성을 발휘할 수 있는 weak signal 탐색 체제로 기술혁신 기업들도 독자적인 NEST 프로세스 개발이 가능할 것이다.