• Korean Journal of Mathematics
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• v.6 no.2
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• pp.323-329
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• 1998

In this paper, we introduce a new class of sets, called $m$-sets, and the notion of $m$-continuity. In particular, $m$-sets and $m$-continuity are used to extend known results for ${\alpha}$-continuity and semi-continuity and precontinuity.

• Journal of the Chungcheong Mathematical Society
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• v.4 no.1
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• pp.55-59
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• 1991

We consider perturbation problems and Lagrangians for convex set function optimization problems. In particular, we prove that the Lagrangian $L({\Omega},y)$ is a convex set function in ${\Omega}$ for each y if the perturbation function is convex.

• Korean Journal of Mathematics
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• v.19 no.2
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• pp.211-217
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• 2011

In this paper we study some properties on regular homomorphisms. In particular, we investigate the equivalent conditions for the homomorphism of minimal sets to be regular.

• Journal of the Korean Mathematical Society
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• v.37 no.5
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• pp.871-884
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• 2000

Polyharmonic operator with Dirichlet boundary condition is considered in a n-dimensional cone. The regularity properties of weak solutions are studied. In particular, it is proved the Holder contionuity of solutions near the vertex of the cone for dimensions n=2m+3,2m+4, where 2m is the order of the polyharmonic operator.

• Kyungpook Mathematical Journal
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• v.60 no.2
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• pp.349-359
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• 2020

We study perfect 2-colorings of regular graphs. In particular, we consider the 4-regular case. We obtain a characterization of perfect 2-colorings of toroidal grids.

• Journal of the Korean Mathematical Society
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• v.32 no.3
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• pp.563-571
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• 1995

The recent work of Hopkins, Kuhn and Ravenel [H-K-R] indicates the Morava K-theory, $K(n)^*(-)$, occupy an important and fundamental place in homology theory. In particular $K(n)^*(BG)$ for classifying spaces of finite groups are studied by many authors [H-K-R], [R], [T-Y 1, 2] and [Hu].

• 전기의세계
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• v.28 no.8
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• pp.34-44
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• 1979

The article is organized as follows: In Section 2, the functions involved in the total design process are discussed in terms of five phases and the term IGCAD (interactive graphic computer aided design) is introduced. Section 3 is devoted to the discussion of the IGCAD system and turns out to be the longest section. We discuss two particular examples of IGCAD applications and the benefits of IGCAD methodology in Section 4.

• Proceedings of the Korean Fiber Society Conference
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• 2003.10a
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• pp.3-4
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• 2003

The recent aspects of eco-friendly textile processing, in particular bio-scouring of cotton and shrinkproofing of wool are described.

• Journal of the Korean Institute of Intelligent Systems
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• v.8 no.6
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• pp.48-52
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• 1998

We introduce the concepts of fuzzy s-continuous mappings, s-open mappings, and s-closed mappings. We investigate several properties of such mappings. In particular, we study the relation between fuzzy s-continuous mappings and fuzzy s-open mappings(s-closed mappings).

• The Pure and Applied Mathematics
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• v.13 no.2 s.32
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• pp.71-94
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• 2006

In this paper we study lattice valued fuzzy gradation of openness so that fuzzy gradation of openness [13] could be obtained as a particular case. Some of its properties are studied. We also give definitions of lattice valued graded fuzzy filters, graded, fuzzy grills, graded fuzzy preproximities and proximities.