• Journal of applied mathematics & informatics
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• v.42 no.1
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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.

• Journal of the Korean Mathematical Society
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• v.50 no.5
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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.

• Bulletin of the Korean Mathematical Society
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• v.53 no.6
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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 $g_a$.

• Journal of Educational Research in Mathematics
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• v.14 no.3
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• pp.305-325
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• 2004

This study is on the teaching-learning of parameter concept in secondary school mathematics. In our school mathematics curriculum, parameter concept is explicitly presented at high school mathematics textbook. But student have difficulty in understanding parameter concept because this concept is implicitly used in the textbook from 7-grade mathematics. Moreover, it is true that mathematics teacher give a little attention to student's understanding of parameter con- cept. In this study, we analyzed concept definition of parameter and the extension of parameter on the basis of preceding research, our mathematical curriculum, mathematical dictionaries. After that, we concluded that parameter is explicitly called in t where x= f(t), y= g(t) and parameter is implicitly treated in the learning of relation between quantities in our mathematical curriculum. We pointed to the importance of parameter concept in the successful learning of school algebra. Specially, when the level of algebra is in the learning of relation between quantities, parameter is the key concept for understanding and representing of families of equations or functions. In mathematics class, students have opportunity to reflect that what the role of each variable(parameter, dependent variable, independent variable etc.) is, and where the information which determines it comes from. It is for mathematical communications as well as learning school algebra. Therefore, mathematics teacher's didactical attention is more needed to student have a good concept image of parameter before they learn explicitly its concept definition.

• Structural Engineering and Mechanics
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• v.51 no.4
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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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• v.31 no.3_4
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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.

• The Research Journal of the Costume Culture
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• v.9 no.3
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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).

• Korea journal of population studies
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• v.11 no.1
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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.

• The Journal of Engineering Geology
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• v.18 no.4
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• pp.439-446
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• 2008

We have developed a method to evaluate pumping rates from a system of pumping-well family. For a given system actual pumping rates depend on pump characteristics and the sum of the static head and the dynamic head. The static head is the elevation difference between the natural groundwater level and the outlet of the pipeline that connects all the wells. Major components of the dynamic head are groundwater drawdown in the well and pipeline head loss. The dynamic head and the pump characteristics depend on the pumping rates. Actual pumping rates are determined at the intersections of the system total-head curves and the pump characteristic curves. The Newton-Raphson's method is used to solve the nonlinear simultaneous equations. The method is applied to a hypothetical well family. Impacts of various design and operational parameters on the pumping rates are analyzed.

• Journal of Family Resource Management and Policy Review
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• v.14 no.4
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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.