• Proceedings of the Korea Water Resources Association Conference
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• 2005.09a
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• pp.70-71
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• 2005

• Bulletin of the Korean Mathematical Society
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• v.32 no.2
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• pp.145-152
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• 1995

From now on, we assume that a ring R has an identity 1. We have the following Lemma from Park[2].

• Journal of the Korean Mathematical Society
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• v.36 no.4
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• pp.679-679
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• 1999

• Kyungpook Mathematical Journal
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• v.63 no.1
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• pp.11-13
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• 2023

We give a new proof for the full form of Hilbert's Nullstellensatz based on on integral extension and Noether's Normalization Lemma.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.40 no.1
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• pp.103-112
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• 1995

Six African rice varieties, two each from three types having the characteristics of partially, irregularly, and completely developed abscission layers, were selected and grown 1） to investi-gate the histological differences during the formation and development of the abscission layers and 2） to evaluate the changes in the breaking tensile strength required to detach a grain from its pedicel dur-ing ripening period in relation with developmental stage of the abscission layers. In African rice, the panicle and spikelet grew rapidly from 15 days before heading and almost completely grown in length at five days before heading. The abscission regions were recognized at 15 days before heading. However, any apparently developed abscission layers were not recognized in the lemma side for partially developed abscission layers. A group of parenchymatous cells could be observed sporadically in the abscission layers of the lemma side for irregularly developed ab-scission layers. At ten days before heading, abscission layers consisting of one or two layers of parenchymatous cells were clearly distinguished from neighboring cells due to thickened and lignified cell walls. There were a number of individual parenchymatous cells scattered sporadically in the lemma side of partially developed abscission layers, and a number of grouped parenchymatous cells scattered randomly in the lemma side of irregularly developed abscission layers. At two weeks after heading, the grains became almost fully filled. The cracking of abscission layers between rachilla and pedicel was observed, and the breaking tensile strength required to detach a grain from its pedicel was as low as that at harvest time.

• Journal of the Korean Mathematical Society
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• v.42 no.5
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• pp.1057-1069
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• 2005

In this article, we prove the existence of two embedded minimal annuli in a slab which are all bounded by a Jordan convex curve and a straight line.

• Communications of the Korean Mathematical Society
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• v.20 no.3
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• pp.511-520
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• 2005

In this article, we prove the existence of a minimal annulus bounded by a Jordan curve and a straight line.

• Proceedings of the Korean Statistical Society Conference
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• 2000.11a
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• pp.115-118
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• 2000

In this paper we establish limit results on the increments of (N, d)-Gaussian processes with independent components, via estimating upper bounds of large deviation probabilities on the suprema of (N, d)-Gaussian processes.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.4 no.1
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• pp.133-142
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• 2000

In this note we define typical set and differential entropy for continuous random variables. Using Markov chain, we show that the various properties of the mutual information and entropies (theorems 3.2 and 3.4 ) and show the properties of typical set in continuous random variables( lemma 4.2 and theorem 4.3.)

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.4 no.1
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• pp.39-48
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• 2000

In this paper we define T-fuzzy integrals of set-valued mappings, which are extensions of fuzzy integrals of the single-valued functions defined by Sugeno. And we discuss their properties.