• 호남수학학술지
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• 제32권1호
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• pp.45-51
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• 2010

Let A be an abelian variety defined over a number field K and let L be a cyclic extension of K with Galois group G = <${\sigma}$> of order n. Let III(A/K) and III(A/L) denote, respectively, the Tate-Shafarevich groups of A over K and of A over L. Assume III(A/L) is finite. Let M(x) be a companion matrix of 1+x+${\cdots}$+$x^{n-1}$ and let $A^x$ be the twist of $A^{n-1}$ defined by $f^{-1}{\circ}f^{\sigma}$ = M(x) where $f:A^{n-1}{\rightarrow}A^x$ is an isomorphism defined over L. In this paper we compute [III(A/K)][III($A^x$/K)]/[III(A/L)] in terms of cohomology, where [X] is the order of an finite abelian group X.

• 대한수학회보
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• 제48권6호
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• pp.1147-1155
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• 2011

In J. Korean Math. Soc, Zhang, Xu and other authors investigated the following problem: what is the structure of finite groups which have many normal subgroups? In this paper, we shall study this question in a more general way. For a finite group G, we define the subgroup $\mathcal{A}(G)$ to be intersection of the normalizers of all non-cyclic subgroups of G. Set $\mathcal{A}_0=1$. Define $\mathcal{A}_{i+1}(G)/\mathcal{A}_i(G)=\mathcal{A}(G/\mathcal{A}_i(G))$ for $i{\geq}1$. By $\mathcal{A}_{\infty}(G)$ denote the terminal term of the ascending series. It is proved that if $G=\mathcal{A}_{\infty}(G)$, then the derived subgroup G' is nilpotent. Furthermore, if all elements of prime order or order 4 of G are in $\mathcal{A}(G)$, then G' is also nilpotent.

• The Korean Journal of Ecology
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• 제21권3호
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• pp.291-300
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• 1998

The forest vegetation of Mt. Odae based on the interspecific relationship was classified into 4 groups : Quercus mongolica, Pinus densiflora, Quercus variabilis and Patrinia saniculaefolia. Thirty-one species of Quercus mongolica group including Quercus mongolica and Acer mone, 12 species of Pinus densiflora group comprising Pinus densiflora and Spodiopogon sibiricus, 6 species of Quercus variabilis group and 4 species of Patrinia saniculaefolia were positively correlated. in the results of species ordination by principal component analysis, 7 clusters by the humidity and acidity of soil, 4 clusters by the humidity and light intensity and 7 clusters by the acidity and light intensity were formed. The plot ordination showed that the distribution of species based on the humidity, soil acidity and total organic matters was in the order of Pinus densiflora, Quercus variabilis and Quercus mongolica groups, and based on the light intensity was in the order of Quercus variabilis, Pinus densiflora and Quercus mongolica groups.

• Journal of applied mathematics & informatics
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• 제15권1_2호
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• pp.1-28
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• 2004

We first apply a first order splitting to a semilinear reaction-diffusion equation and then discretize the resulting system by an $H^1$-Galerkin mixed finite element method in space. This semidiscrete method yields a system of differential algebraic equations (DAEs) of index one. A priori error estimates for semidiscrete scheme are derived for both differ-ential as well as algebraic components. For fully discretization, an implicit Runge-Kutta (IRK) methods is applied to the temporal direction and the error estimates are discussed for both components. Finally, we conclude the paper with a numerical example.

• 대한수학회보
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• 제34권1호
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• pp.1-8
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• 1997

Let G be a finiteg oroup. We denote BG a classifying space of G, which a contractible universal principal G bundle EG. The stable type of BG does not determine G up to isomorphism. A simple example [due to N. Minami]is given by $Q_{4p} \times Z/2$ and $D_{2p} \times Z/4$ where ps is an odd prime, $Q_{4p} is the generalized quarternion group of order 4p and $D_{2p}$ is the dihedral group of order 2p. However the paper [6] gives us a necessary and sufficient condition for $BG_1$ and $BG_2$ to be stably equivalent localized et pp. The local stable type of BG depends on the conjegacy classes of homomorphisms from the p-groups Q into G. This classification theorem simplifies if G has a normal sylow p-subgroup. Then the stable homotopy type depends on the Weyl group of the sylow p-subgroup.

• 한국식품영양과학회지
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• 제27권4호
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• pp.633-638
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• 1998

Fibrionolytic activity(FA) of kimchi in rat and FAs of water and methanol extracts of kimchi ingredient were determined using fibrin plate method to see where the active principles for FA are present in kimchi. Nine Sprague-Dawley per each group were fed diet containing 3, 5 or 10% of freeze dried kimchi for 6 weeks. The FA of plasma obtained from 10% kimchi group showed stronger FA than that of control. FAs of 3 and 5% kimchi group were not noticeable. FA from methanol extract of kimchi was approximately 6 times higher than that from water extract assuming that the active material may be present in a fat soluble fraction. From water extract of kimchi ingredients, dropwort, green onion, radish and baechu showed FA in descending order. And from methanol extracts, red pepper powder, radish, green onion and baechu showed FA in decending order. The Fa of methanol extract of red pepper powder was the most noticeable among samples.

• 호남수학학술지
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• 제42권1호
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• pp.105-121
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• 2020

The main result of this article is to factorize the first (σ, τ)-cohomology group of triangular Banach algebra 𝓣 of order three with coefficients in 𝓣 -bimodule 𝓧 to the first (σ, τ)-cohomology groups of Banach algbras 𝓐, 𝓑 and 𝓒, where σ, τ are continuous homomorphisms on 𝓣. As a direct consequence, we find necessary and sufficient conditions for 𝓣 to be (σ, τ)-weakly amenable.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제14권3호
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• pp.181-187
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• 2014

Dealing with uncertainty is always a challenging problem. Intuitionistic fuzzy sets was presented to manage situations in which experts have some membership and non-membership value to assess an alternative. Hesitant fuzzy sets was used to handle such situations in which experts hesitate between several possible membership values to assess an alternative. In this paper, the concept of intuitionistic hesitant fuzzy set is introduced to provide computational basis to manage the situations in which experts assess an alternative in possible membership values and non-membership values. Distance measure is defined between any two intuitionistic hesitant fuzzy elements. Fuzzy technique for order preference by similarity to ideal solution is developed for intuitionistic hesitant fuzzy set to solve multi-criteria decision making problem in group decision environment. An example is given to illustrate this technique.

• 한국의상디자인학회지
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• 제15권3호
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• pp.119-135
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• 2013

The purpose of this study was to investigate the relationship between consumption values of preschooler clothing and purchasing satisfaction, company brand loyalty and involvement of preschooler clothing with the mothers of preschoolers. An online survey was adapted as methodology of this study. The collected 323 questionnaires were collected and statistically analyzed. The nine consumption value of preschooler clothing(vicarious satisfaction value, social value, functional value, convenient value, economic value, coordination value, aesthetic value, distinctive value, and fashionable value) resulted from the analysis of survey. Purchasing satisfaction, company brand loyalty, involvement of preschooler clothing was Uni-dimensional. Statistical analysis was performed with frequency analysis, descriptive statistics, exploratory factor analysis, multi-group analysis, confirmatory factor analysis, bivariate correlation analysis, distribution, structural equation, cluster analysis, independent sample t-test, one-way analysis of variance. The results of this study are as follows. In the consumption value of preschooler clothing influencing on the purchasing satisfaction was evaluated depending on the involvement of preschooler clothing group (high-involvement group, low-involvement group). In the low-involvement group, the most significant consumption value of preschooler clothing are economic value, convenient value, social value in order of importance; though in the high-involvement group, aesthetic value, social value, economic value in order of importance. Also the brand royalty was more affected by the purchasing satisfaction in the high-involvement group than in the low-involvement group. In conclusion, the relations of consumption value of preschooler clothing with purchasing satisfaction, company brand loyalty, involvement of preschooler clothing was established in study. The significances of this study is to provide the market segmentation strategy depending on the characteristics of preschooler clothing consumers and establish the information and direction to increase the company brand royalty and purchasing satisfaction.

• 산업경영시스템학회지
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• 제39권3호
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• pp.83-89
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• 2016

The group formation problem of the machine and part is a critical issue in the planning stage of cellular manufacturing systems. The machine-part grouping with alternative process plans means to form machine-part groupings in which a part may be processed not only by a specific process but by many alternative processes. For this problem, this study presents an algorithm based on self organizing neural networks, so called SOM (Self Organizing feature Map). The SOM, a special type of neural networks is an intelligent tool for grouping machines and parts in group formation problem of the machine and part. SOM can learn from complex, multi-dimensional data and transform them into visually decipherable clusters. In the proposed algorithm, output layer in SOM network had been set as one-dimensional structure and the number of output node has been set sufficiently large in order to spread out the input vectors in the order of similarity. In the first stage of the proposed algorithm, SOM has been applied twice to form an initial machine-process group. In the second stage, grouping efficacy is considered to transform the initial machine-process group into a final machine-process group and a final machine-part group. The proposed algorithm was tested on well-known machine-part grouping problems with alternative process plans. The results of this computational study demonstrate the superiority of the proposed algorithm. The proposed algorithm can be easily applied to the group formation problem compared to other meta-heuristic based algorithms. In addition, it can be used to solve large-scale group formation problems.