• Korean Journal of Mathematics
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• v.27 no.1
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• pp.1-8
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• 2019

We will deal with an n locus model in which mutation and gene conversion are taken into consideration. Also random partitions of the number n determined by chromosomes with n loci should be investigated. The diffusion process describes the time evolution of distributions of the random partitions. In this paper, we find the probability of distribution of the diffusion process with special diffusion operator $L_1$ and we show that the average probability of genes at different loci on one chromosome can be described by the rate of gene frequency of mutation and gene conversion.

• Bulletin of the Korean Mathematical Society
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• v.59 no.1
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• pp.15-25
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• 2022

In 1963, Graham introduced a problem to find integer partitions such that the reciprocal sum of their parts is 1. Inspired by Graham's work and classical partition identities, we show that there is an integer partition of a sufficiently large integer n such that the reciprocal sum of the parts is 1, while the parts satisfy certain congruence conditions.

• Bulletin of the Korean Mathematical Society
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• v.59 no.1
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• pp.111-117
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• 2022

Let p_a,b,m(n) be the number of integer partitions of n with more parts congruent to a modulo m than parts congruent to b modulo m. We prove that p_a,b,m(n) ≥ p_b,a,m(n) whenever 1 ≤ a < b ≤ m. We also propose some conjectures concerning series with nonnegative coefficients in their expansions.

• Kyungpook Mathematical Journal
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• v.11 no.1
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• pp.17-20
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• 1971

• Microbiology and Biotechnology Letters
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• v.24 no.5
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• pp.624-629
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• 1996

The ethanol extracts from Angelica gigas Nakai and Angelica acutiloba Kitagawa were fractionated to diethyl ether and aqueous partitions. Both partitions had strong antimutagenic effect on the MNNG (N-methyl-N-nitro-N-nitrosoguanidine) by Ames mutagenicity test. Diethyl ether fractions exhibited the greatest antimutagenic effect suppressing the mutagenicity of MNNG with inhibition of 78-80%. The ethanol extracts from both species showed the inhibitory effect on the growth of several human cancer cell lines. Especially, the diethyl ether fraction from ethanol extracts was most effective on human hepatocellular carcinoma cells, inhibiting 90-95% of cell growth. However, the aqueous fractions had least inhibition activity on many cancer cells. There was little cytotoxicity on human normal liver cell by ethanol extracts. Diethyl ether fraction from Angelica gigas Nakai ethanol extract had cytotoxicity less than 20% on human normal liver cells, compared with that from Angelica acutiloba Kitagawa ethanol exract. The adding of 0.5 (g/l) of diethyl ether fractions of Angelica gigas Nakai or Angelica acutiloba Kitagawa increased immune activity by enhacing human B and T cells up to three to four times. It was proven that diethyl ether fraction (0.7 g/1) from Angelica gigas Nakai could control blood pressure by suppressing angiotensin converting enzyme activity up to 98%. From TLC, it was appeared that both of diethyl ether partitions had umbelliferon, known to one of active substances from Angelica gigas Nakai and Angelica acutiloba Kitagawa.

• Kyungpook Mathematical Journal
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• v.1 no.1
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• pp.41-44
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• 1958

• Kyungpook Mathematical Journal
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• v.7 no.2
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• pp.37-39
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• 1967

• 전기의세계
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• v.18 no.3
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• pp.15-23
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• 1969

A combinational circuit is one of the fundamental elements in digital circuits, containing electronic computers. W.A. Davis presented a new approach to the problem of assigning binary input codes so that the combinational circuits necessary to realize the given output functions may be minimized. This paper has derived an algorithm for determining the actual cost of a given assignment scheme in Davis method. First, the combinations of partitions realizing the output functions are obtained and then those among them implementing all of the output functions are found by using a table. In consequence it has been proved that by this algorithm the process of the assignment in a schcme with 16 states and 3 determined partitions can be reduced to 1/10$^{6}$ .

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.23 no.4
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• pp.372-378
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• 2013

An acoustical shape optimization problem is formulated for optimal design of a perforated reactive muffler with offset inlet/outlet. The mean transmission loss value in a target frequency range is maximized for an allowed pressure drop value between an inlet and an outlet. Partitions in the chamber are divided into several sub-partitions, whose lengths are selected as design variables. Each sub-partition has the same number of holes, whose sizes are equal. A finite element model is employed for acoustical and flow analyses. A gradient-based optimization algorithm is used to obtain an optimal muffler. The acoustical and fluidic characteristics of the optimal muffler are compared with those of a reference muffler. Validation experiment is carried out to support the effectiveness of our suggested method.

• Proceedings of the KSRS Conference
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• 1999.11a
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• pp.48-53
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• 1999

The paper presents an automated method for generating fuzzy rules and fuzzy membership functions for pattern classification from training sets of examples and an application to the land-cover classification. Initially, fuzzy subspaces are created from the partitions formed by the minimum and maximum of individual feature values of each class. The initial membership functions are determined according to the generated fuzzy partitions. The fuzzy subspaces are further iteratively partitioned if the user-specified classification performance has not been archived on the training set. Our classifier was trained and tested on patterns consisting of the DN of each band, (XS1, XS2, XS3), extracted from KITSAT-3 multispectral scene. The result represents that our classification method has higher generalization power.