• 대한수학회보
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• 제42권3호
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• pp.453-467
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• 2005

Let K be an algebraic number field. If k is the maximal cyclotomic subextension in K then the Schur K-group S(K) is obtained from the Schur k-group S(k) by scalar extension. In the paper we study projective Schur group PS(K) which is a generalization of Schur group, and prove that a projective Schur K-algebra is obtained by scalar extension of a projective Schur k-algebra where k is the maximal radical extension in K with mild condition.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2000년도 추계학술대회 학술발표 논문집
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• pp.67-70
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• 2000

We introduce the concept of double fuzzy topological spaces as a generalization of intuitionistic fuzzy topological spaces and smooth topological spaces and then investigate some of their properties. Also we introduce the notions of fuzzy (${\gamma}$,s)-interiors and fuzzy (${\gamma}$,s)-closures in double fuzzy topological spaces.

• Korean Journal of Mathematics
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• 제28권1호
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• pp.9-15
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• 2020

In 2012, Sulaiman [7] proved integral inequalities concerning reverse of Holder's. In this paper two results are given. First one is further improvement of the reverse Hölder inequality. We note that many existing inequalities related to the Hölder inequality can be proved via obtained this inequality in here. The second is further generalization of Sulaiman's integral inequalities concerning reverses of Holder's [7].

• 대한수학회보
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• 제28권2호
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• pp.225-229
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• 1991

Our final purpose may be to introduce generalized differential forms on the space Map(S, M) of mappings from a manifold S into a manifold M and discuss the differential geometry of the space Map(S, M) from the point of the generalized forms. Here we take a subspace X of the space Map(S,M) and we introduce the generalized differential forms on X, taking the dual to the chain space with the flat norm. This method of construction allows us to discuss a sufficient condition for a subspace Y of X to admit the generalized differential forms and the natural integration as the dual operation.

• Kyungpook Mathematical Journal
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• 제48권4호
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• pp.585-591
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• 2008

In 1981, Sen [4] have introduced the concept of $\Gamma$-semigroups. We have known that $\Gamma$-semigroups are a generalization of semigroups. In this paper, we introduce the concepts of the extensions of s-prime ideals, prime ideals, s-semiprime ideals and semiprime ideals in $\Gamma$-semigroups and characterize the relationship between the extensions of ideals and some congruences in $\Gamma$-semigroups.

• Kyungpook Mathematical Journal
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• 제50권1호
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• pp.131-152
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• 2010

In this paper, by introducing some parameters we establish an extension of Hardy-Hilbert's integral inequality and the corresponding inequality for series. As an application, the reverses, some particular results and their equivalent forms are considered.

• 충청수학회지
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• 제22권3호
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• pp.353-358
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• 2009

In [6], the author introduced the concepts of $s\gamma$-open sets and $s\gamma$-continuous functions. In this paper, we introduce the concept of weak $s\gamma$-continuity which is a generalization of $s\gamma$-continuity and weak continuity and investigate characterizations for such functions.

• 지능정보연구
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• 제14권4호
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• pp.1-18
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• 2008

사례 기반 계획 시스템은 과거의 유사한 사례 계획들을 이용함으로써 새로운 문제를 위한 계획을 효율적으로 생성 할 수 있다. 하지만 대부분의 기존 사례 기반 계획 시스템들은 사례 검색 및 사례 일반화를 위한 제한적 기능들만을 제공할 뿐만 아니라, 계획 생성과정에 사용자의 참여를 허용하지 않는다. 본 논문에서 제안하는 JCBP 시스템은 효율적인 메모리 사용과 사례 검색을 위해 각 도메인의 동일한 작업 목표를 가진 사례들을 개별 사례 베이스로 그룹화하고, 이들에 대한 색인을 유지한다. 또 이 시스템은 문제모델로부터 자동으로 추출한 휴리스틱 지식을 사례 적응 단계에 이용하며, 목표 회귀를 통한 사례 일반화 기능도 제공한다. 또한 JCBP 시스템은 대화형 모드를 통한 혼합 주도 계획 생성 기능도 제공한다. 이와 같이 JCBP 시스템은 문제 해결을 위해 사용자의 기호와 지식을 이용함으로써 사용자의 요구를 더 잘 만족하는 해 계획을 생성할 수 있을 뿐 아니라 계획 생성의 복잡도도 줄일 수 있다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1991년도 추계학술대회 논문집 학회본부
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• pp.55-58
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• 1991

A generalization to the Digital Prolate Spheroidal Sequences is investigated, so that the Generalized Digital Prolate Spheroidal Sequences(GDPSS's) can be used as a powerful time window with many desirable properties. The GDPSS's in the form of the time window has 3 parameters with which we can control the shape of the window freely. Hence, GDPSS's can be used as the very useful time windows especially for digital distance protection.

• East Asian mathematical journal
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• 제24권3호
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• pp.289-293
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• 2008

We recently showed in [5] a semilocal convergence theorem that guarantees convergence of Newton's method to a locally unique solution of a nonlinear equation under hypotheses weaker than those of the Newton-Kantorovich theorem [7]. Here, we first weaken Miranda's theorem [1], [9], [10], which is a generalization of the intermediate value theorem. Then, we show that operators satisfying the weakened Newton-Kantorovich conditions satisfy those of the weakened Miranda’s theorem.