• Journal of applied mathematics & informatics
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• 제42권1호
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• pp.213-221
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• 2024

A family of sixth-order multiple-root solver have been developed and the special case of weight function is investigated. The dynamical analysis of selected iterative schemes with uniparametric polynomial weight function are studied using Möbius conjugacy map applied to the form ((z - A)(z - B))^m and the stability surfaces of the strange fixed points for the conjugacy map are displayed. The numerical results are shown through various parameter spaces.

• 대한수학회지
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• 제50권5호
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• pp.1067-1082
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• 2013

In this paper, we will find some recurrence relations of classical multiple OPS between the same family with different parameters using the generating functions, which are useful to find structure relations and their connection coefficients. In particular, the differential-difference equations of Jacobi-Pineiro polynomials and multiple Bessel polynomials are given.

• 대한수학회보
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• 제53권6호
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• pp.1671-1683
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• 2016

Abstract. In this paper, for $a{\in}C$, we investigate functions $g_a$ and ${\psi}_a$ associated with three term relations. $g_a$ is defined by means of function ${\psi}_a$. By using these functions, we obtain some functional equations related to the Eisenstein series and the Riemann zeta function. Also we find a generalized difference formula of function $g_a$.

• 대한수학교육학회지:수학교육학연구
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• 제14권3호
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• pp.305-325
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• 2004

본 논문은 학교수학에서 다루어지고 있는 매개변수 개념의 교수-학습에 관한 논의이다. 우리나라 수학교과서에서 매개변수 개념은 중학교 수준의 학습내용과 관련된 대수적 표현에서 자주 다루어지고 있음에도 불구하고 그 개념에 대한 용어 정의는 고등학교 선택교육과정 교과서에서 비로소 도입되고 있기 때문에 매개변수개념 이해를 위한 수학교사의 교수학적 노력이 요망된다. 본 논문에서는 학교현장에서 매개변수 개념의 지도를 위한 교수학적 시사점을 이끌어 내기 위해 매개변수의 개념 정의를 분석하고 우리나라 수학과 교육과정상에서 매개변수가 도입되는 맥락을 외국의 사례와 비교해서 검토한다. 또한 선행연구를 통해 대수학습의 관점에서 매개변수 개념 이해의 중요성을 확인하고 매개변수 개념이 학교수학에서 의미 있게 다루어져야 할 학습맥락에 대해 논의해 본다. 마지막으로 본 논문의 연구내용을 종합하여 매개변수 개념의 교수-학습을 위한 시사점을 요약하여 제시한다.

• Structural Engineering and Mechanics
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• 제51권4호
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• pp.627-641
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• 2014

Functionally graded steels (FGSs) are a family of functionally graded materials (FGMs) consisting of ferrite (${\alpha}$), austenite (${\gamma}$), bainite (${\beta}$) and martensite (M) phases placed on each other in different configurations and produced via electroslag remelting (ESR). In this research, the flow stress of dual layer austenitic-martensitic functionally graded steels under hot deformation loading has been modeled considering the constitutive equations which describe the continuous effect of temperature and strain rate on the flow stress. The mechanism-based strain gradient plasticity theory is used here to determine the position of each layer considering the relationship between the hardness of the layer and the composite dislocation density profile. Then, the released energy of each layer under a specified loading condition (temperature and strain rate) is related to the dislocation density utilizing the mechanism-based strain gradient plasticity theory. The flow stress of the considered FGS is obtained by using the appropriate coefficients in the constitutive equations of each layer. Finally, the theoretical model is compared with the experimental results measured in the temperature range $1000-1200^{\circ}C$ and strain rate 0.01-1 s-1 and a sound agreement is found.

• Journal of applied mathematics & informatics
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• 제31권3_4호
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• pp.399-416
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• 2013

The semilocal convergence of a third order iterative method used for solving nonlinear operator equations in Banach spaces is established by using recurrence relations under the assumption that the second Fr´echet derivative of the involved operator satisfies the ${\omega}$-continuity condition given by $||F^{\prime\prime}(x)-F^{\prime\prime}(y)||{\leq}{\omega}(||x-y||)$, $x,y{\in}{\Omega}$, where, ${\omega}(x)$ is a nondecreasing continuous real function for x > 0, such that ${\omega}(0){\geq}0$. This condition is milder than the usual Lipschitz/H$\ddot{o}$lder continuity condition on $F^{\prime\prime}$. A family of recurrence relations based on two constants depending on the involved operator is derived. An existence-uniqueness theorem is established to show that the R-order convergence of the method is (2+$p$), where $p{\in}(0,1]$. A priori error bounds for the method are also derived. Two numerical examples are worked out to demonstrate the efficacy of our approach and comparisons are elucidated with a known result.

• 복식문화연구
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• 제9권3호
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• pp.532-536
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• 2001

This study is concerned with the textile related terminologies of the Chosun period. The purpose of this study was to trace and to examine some textile related terms such as goro, mooruwi, modan, shiok, jal, gaam, and chien. These words were examined and analyzed in terms of the origins, meanings, and neighbouring languages. The results of this research can be summarized as follows: The results of this study revealed that the word goro of the Chosun period was derived from the Chinese ku lo 羅 or (Equations. See Full-text). Korean goro or goroi is a transliteration of the Chinese moolo 霧羅. The word modan 帽緞 was a kind of rich silk fabric. Manchurian kamku 帽緞 was derived from Arabic word kamkha. The word shiok, shiok, shiuk, shiurk, or shiu 시으 means felt in Korean. Similar words to Korean shiok was found in Afro-Asiatic family such as Egyptian, Hebrew, and Assyrians. Egyptian shiu means a seep or a goat. The word jal meaning black sable was found was originated in the Chinese tzuerl 子兒皮, black sable. The word Korean gaam 가암, 가음, was similar to Mongorian k∂m meaning a material. Also Iraq-Arabian xaam meaning raw, unworked, unprocessed, had the same meaning as the Korean gaam. Xaam and gaam have almost the same phonetical sounds. The Korean gaam was derived from the xaam of Iraq-Arabian. Korean chien meaning cloth was derived from the Chinese chyan or chien (Equations. See Full-text).

• 한국인구학
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• 제11권1호
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• pp.97-116
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• 1988

This study examines the socioeconomic determinants of fertility behavior in Korea by developing a model which simultaneously takes into account both individual and community-level differences. It especially focuses on the micro-macro nexus of fertility behavior depending on social contexts. This study utilizes micro data obtained from the 1974 Korean National Fertility Survey(KNFS), and macro data obtained from Korean government statistics. The framework of the model is formalized as a set of structural equations modelling the fertility process. The model is formed on a cohort-specific processual basis and is restricted to five-year birth cohorts. Three cohorts of women are studied : those aged 30-34, 35-39, and 40-44. The model includes three fertility-process components : age at first birth, early fertility, and later fertility, which are defined by reference to the age of the mother. The results of this study indicate that socioeconomic development in Korea results in increased age at first birth and reduced numbers of children per couple. In addition to the developmental change, Korea's fertility decline is found to be facilitated by family planning programs. As expected, the effect of family planning on fertility is greater among better-educated women than among poorly educated women. The inconsistent but suggestive result, however, is that the effect of socioeconomic development on fertility is greater among less-privileged women than among more-previleged women.

• 지질공학
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• 제18권4호
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• pp.439-446
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• 2008

취수펌프 운전 조건에 따라 변화하는 군정시스템의 취수량을 종합적으로 평가할 수 있는 방법을 개발하였다 주어진 상황에서 개별 관정의 취수량에 영향을 미치는 인자는 자연수위와 관말 사이의 표고차이로 주어지는 정적양정과 지하수 강하량, 관로 마찰손실 등으로 구성되는 동적양정, 그리고 취수 펌프의 성능이다. 동적 양정과 펌프의 성능은 취수펌프 가동 대수와 가동 패턴에 따라 변하는 취수량의 함수이다. 군정 운영 시 실제 취수량은 군정 시스템의 전 양정과 펌프 성능곡선이 교차하는 점에서 결정된다. Newton-Raphson 반복법을 이용하여 복수 관정의 취수량에 대한 비선형연립방정식을 처리하였다. 가상 군정 시스템에 대한 적용을 통하여 시스템 설계 시와 운영 시에 취수량 분포에 미치는 영향을 분석하였다.

• 가족자원경영과 정책
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• 제14권4호
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• pp.39-56
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• 2010

The purpose of this research was to analyze the relationship between environment-friendly housing behaviors and the influential variables among consumers by focusing on housing life. This research carried out a questionnaire survey with housewives living in Seoul and the Metropolitan area using a questionnaire that was composed based on previous research. The housewives' environment-friendly housing attitudes and their resource-saving knowledge level, along with environmental education-related variables, house ownership, and the housewives' employment appeared to be significant variables in explaining the generic environment-friendly housing behaviors found in this research. Three regression equations, classified into purchasing, utilization, and disposal behaviors, were employed. The empirical results were relatively similar to those for the generic environment-friendly housing behaviors; however, each model provided somewhat different results in some specific aspects. All the environmental education-related variables appeared to be significant in explaining environment-friendly housing utilization behaviors, and were similar to the results obtained from the generic environment-friendly housing behaviors. However, the variables were limited in explaining environment-friendly housing-related disposal behaviors. The convenience, recycling ease, and family-structure variables appeared to be significant influences on environment-friendly housing-related disposal behaviors. Most empirical results of this research were consistent with those of previous studies. However, the explanatory independent variables varied, depending on the types of each domain of environment-friendly housing behaviors studied.