• Kyungpook Mathematical Journal
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• 제55권3호
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• pp.515-530
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• 2015

We say that (R, f, g) is an additive (m, n)-semihyperring if R is a non-empty set, f is an m-ary associative hyperoperation, g is an n-ary associative operation and g is distributive with respect to f. In this paper, we describe a number of characterizations of additive (m, n)-semihyperrings which generalize well-known results. Also, we consider distinguished elements, hyperideals, Rees factors and regular relations. Later, we give a natural method to derive the quotient (m, n)-semihyperring.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 한국퍼지및지능시스템학회 2005년도 추계학술대회 학술발표 논문집 제15권 제2호
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• pp.129-132
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• 2005

In this paper, we consider comonotonically additive compact set-valued functionals instead of interval-valued functionals and study some characterizations of them. And we also investigate some relation between compact set-valued functionals and compact set-valued Choquet integrals.

• Bulletin of the Korean Mathematical Society
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• 제51권1호
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• pp.207-211
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• 2014

The aim of this paper is to prove the next result. Let n > 1 be an integer and let R be a n!-torsion free semiprime ring. Suppose that f : R ${\rightarrow}$ R is an additive mapping satisfying the relation [f(x), $x^n$] = 0 for all $x{\in}R$. Then f is commuting on R.

• Korean Journal of Human Ecology
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• 제13권4호
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• pp.497-506
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• 2004

This study examines the influence of early English education on children's bilingual language development to see whether the early exposure to English education affects children's competencies of both English and Korean. Based on this purpose, it attempts to examine whether it supports additive or subtractive bilingualism. The competencies of both English and Korean of the children with early English education were, therefore, compared with those of the children without it, and the relation between the two competencies was also studied. For this research, two different groups of children - one with 48 children who attend English kindergarten and the other with 60 children who attend only Korean kindergarten - took PPVT-R in Korean and in English each. The result shows that children with early English education have more English competency than those without it. No significant differences, however, are found in Korean competency between the two groups. The relation between the two competencies proves positive in children with early English education. It can thus be concluded that the effect of early English education is partially positive on children's language development, which may support the additive bilingualism that children's second language can improve without losing their native language competency. In addition, this result will be able to provide for us the direction and the guideline to the policy of foreign language education and early education.

• School Mathematics
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• 제14권3호
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• pp.275-296
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• 2012

This study investigated elementary school students' understanding of basic functional relationships. It analyzed the written responses from a total of 2087 students of second, fourth, and sixth graders using tests that examined their understanding of five types of functional relationships. The results of this study showed that students tended to be more successful as their grades went up with regard to all the problem types. There were statistically differences among the three grade levels. Even lower graders were quite successful in dealing with additive relation, direct proportion, and inverse proportion. However the items dealing with square relation and linear relation were difficult even to sixth graders. It was common that students were good at completing the table by looking for a pattern from the given numbers but that they had difficulties in anticipating the value of 'y' when the value of 'x' is given either as a big number or as a symbol. Given these results, this paper includes issues and implications on how to foster functional thinking ability at the elementary school.

• The Transactions of the Korean Institute of Electrical Engineers A
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• 제48권1호
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• pp.52-60
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• 1999

This paper deals with a fault detection and isolation scheme for a DC motor driven centrifugal pump system. The emphasis is placed on the design and implementation of the residual generatorm, based on parity relation, that provides decision logic unit with residuals that will be further processed to detect and isolate three important faults in the system;brush fault, impeller fault, and the speed sensor fault. Two process faults are modelled as multiplicative type faults, while the sensor fault as an additive one. With multiplicative fault, the implementation of the residual generator needs the time varying transformation matrix that must be computed on-line. Typical implementation methods lack in generality because only a numerical approximation around the assumed fault levels is employed. In this paper, a new implementation method using well tranined neural network is proposed to improve the generality of the residual generator. Application results show that the fault detection and isolation scheme with the proposed residual generator effectively isolates three major faults in the centrifugal pump system even with a wide range of fault magnitude.

• Proceedings of the KIEE Conference
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• 대한전기학회 1991년도 추계학술대회 논문집 학회본부
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• pp.278-281
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• 1991

1) The specimen with 0.175[mol%] of additive $Sb_2O_3$ was minute and didn't appear porosity. The relation between the ratio of resistivity at $160^{\circ}C$ to that at $121^{\circ}C$ of the specimen with 0.175[mol%] of additive $Sb_2O_3$ was $3{\times}10^4$ and it's great value from among specimens. 2) The curie temperature of the specimen with 0.2 [mol%] of additive $Sb_2O_3$ was $140^{\circ}C$ AND it's great value from among specimens and those of other were $121^{\circ}C$ in all therefore, the specimen with above 0.2[mol%] of additive $Sb_2O_3$ is not match for PTCR 3) The variation of radiation properties of the specimen with 0.2[mol%] of additive $Sb_2O_3$ was very steep in the range of far-infrared $5{\sim}10[{\mu}m]$ but radiation percentage was very high of 0.92 in the range of $10[{\mu}m]$.

• The Pure and Applied Mathematics
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• 제13권4호
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• pp.295-301
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• 2006

We Investigate the relation between the multi-variable bi-additive functional equation f(x+y+z,u+v+w)=f(x,u)+f(x,v)+f(x,w)+f(y,u)+f(y,v)+f(y,w)+f(z,u)+f(z,v)+f(z,w) and the multi-variable quadratic functional equation g(x+y+z)+g(x-y+z)+g(x+y-z)+g(-x+y+z)=4g(x)+4g(y)+4g(z). Furthermore, we find out the general solution of the above two functional equations.

• Communications of the Korean Mathematical Society
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• 제23권2호
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• pp.191-199
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• 2008

We investigate the relation between the vector variable bi-additive functional equation $f(\sum\limits^n_{i=1} xi,\;\sum\limits^n_{i=1} yj)={\sum\limits^n_{i=1}\sum\limits^n_ {j=1}f(x_i,y_j)$ and the multi-variable quadratic functional equation $$g(\sum\limits^n_{i=1}xi)\;+\;\sum\limits_{1{\leq}i<j{\leq}n}\;g(x_i-x_j)=n\sum\limits^n_{i=1}\;g(x_i)$$. Furthermore, we find out the general solution of the above two functional equations.

• Asian-Australasian Journal of Animal Sciences
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• 제15권2호
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• pp.166-171
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• 2002

The main objective of the present study is to estimate the crossbreeding parameters in respect to serum lysozyme level in broilers. The experiment involved a complete $4{\times}4$ diallel design using four synthetic broiler lines namely Coloured Synthetic Male Line (CSML), White Synthetic Male Line (WSML), Coloured Synthetic Female Line (CSFL) and Naked Neck Line (NNL). The lyophilised Micrococcus lysodeikticus suspension was used to detect the lysozyme level in the serum of birds. The data were analysed by least-squares method to find the effects of genetic and non-genetic factors using appropriate model. The crossbreeding parameters for this trait were estimated by complete diallel model assuming the effect of each synthetic line as fixed. The results indicated that additive and non-additive genetic variation attributed to minor genes at many loci is important for the genetic control of serum lysozyme level in chickens. Total non-additive components of variance also showed significant amount of heterosis in crossbred progenies, and therefore exploitation of non-additive component of variance is possible for improvement in serum lysozyme level in broilers. The overall results suggested that for commercial broiler production system, the selection for specialised line on the basis of serum lysozyme level and subsequent crossing of parent lines could enhance the immunocompetence status in relation to serum lysozyme level in crossbred chickens.