• Korean Journal of Childcare and Education
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• v.12 no.6
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• pp.249-270
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• 2016

The purpose of this study was to investigate the stability and reciprocal effects of maternal parenting stress and perceived social support in early childhood. Specifically, we compared these relations for working and nonworking mothers. The second through fourth wave data of the Panel Study of Korean Children (PSKC) were used in this study. Data were analyzed using t-tests, correlations, and autoregressive cross-lagged modeling analyses. First, parenting stress of non-working mothers was higher than that of working mothers and working mothers perceived higher levels of social support compared to nonworking mothers. Second, both maternal parenting stress and social support were stable over time. Third, there were significant reciprocal effects between maternal parenting stress and perceived social support. Differences between working and non-working mothers were found in the paths from parenting stress to social support. The implications of the stability and reciprocal effects of parenting stress and perceived social support and the difference between working and non-working mothers in the relationship of the two constructs have been discussed.

• Bulletin of the Korean Mathematical Society
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• v.53 no.3
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• pp.833-842
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• 2016

For a certain kind of reciprocal polynomials $P(x),Q(x){\in}{\mathbb{Z}}[x]$, their sums are considered. We demonstrate that the Mahler measure of polynomials plays a role to prove the irreducibility of the sums over the field of rationals.

• Bulletin of the Korean Mathematical Society
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• v.47 no.6
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• pp.1189-1194
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• 2010

Kim and Park investigated the distribution of zeros around the unit circle of real self-reciprocal polynomials of even degrees with five terms, where the absolute value of middle coefficient equals the sum of all other coefficients. In this paper, we extend some of their results to the same kinds of polynomials with arbitrary many nonzero terms.

• Communications of the Korean Mathematical Society
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• v.27 no.1
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• pp.175-183
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• 2012

Let $\mathcal{P}_n$ be the set of all monic integral self-reciprocal poly-nomials of degree n whose all zeros lie on the unit circle. In this paper we study the following question: For P(z), Q(z)${\in}\mathcal{P}_n$, does there exist a continuous mapping $r{\rightarrow}G_r(z){\in}\mathcal{P}_n$ on [0, 1] such that $G_0$(z) = P(z) and $G_1$(z) = Q(z)?.

• Communications of the Korean Mathematical Society
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• v.23 no.2
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• pp.229-239
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• 2008

In n-dimensional unified field theory(n-UFT), the reciprocal representations between the g-unified field tensor $g{\lambda}{\nu}$ and $^*g$-unified field tensor $^*g^{{\lambda}{\nu}}$ play essential role in the study of n-UFT. The purpose of the present paper is to obtain some reciprocal relations between g-unified field tensor and $^*g$-unified field tensor.

• Theoretical Mathematics and Pedagogical Mathematics
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• v.26 no.2
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• pp.85-97
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• 2019

In this paper we introduce the reciprocal-negative Fermat's equation induced by the famous equation in the Fermat's Last Theorem, establish the general solution in the simplest cases and the differential solution to the equation, and investigate, then, the generalized Hyers-Ulam stability in a $quasi-{\beta}-normed$ space with both the direct estimation method and the fixed point approach.

• Bulletin of the Korean Mathematical Society
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• v.44 no.3
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• pp.461-473
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• 2007

For integral self-reciprocal polynomials P(z) and Q(z) with all zeros lying on the unit circle, does there exist integral self-reciprocal polynomial $G_r(z)$ depending on r such that for any r, $0{\leq}r{\leq}1$, all zeros of $G_r(z)$ lie on the unit circle and $G_0(z)$ = P(z), $G_1(z)$ = Q(z)? We study this question by providing examples. An example answers some interesting questions. Another example relates to the study of convex combination of two polynomials. From this example, we deduce the study of the sum of certain two products of finite geometric series.

• English Language & Literature Teaching
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• v.11 no.4
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• pp.209-235
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• 2005

The purpose of the present study was to investigate the effectiveness of reciprocal teaching procedure for improving Korean college students' reading comprehension of English text. In particular, this study sought to explore the qualitative features, if any, in students' use of reading comprehension strategies presented in the process of Reciprocal Reading Procedure (RRP). In order to accomplish the goal of the study, transcripts of the students' dialogues, open-ended questionnaires, and researchers' observation notes were examined. The results of the study showed that the participants used different four kinds of reading strategies in the process of RRP (questioning, clarifying, predicting, summarizing). The findings also suggested that the readers with limited knowledge of vocabulary had difficulty in moving on to the next level. Additionally, future research direction and some pedagogical implications are presented for the practical EFL classroom.

• The Journal of Korean Academy of Orthopedic Manual Physical Therapy
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• v.16 no.2
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• pp.93-97
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• 2010

Purpose: The first purpose of this study was to determine the effect of reciprocal inhibition that influence changes in pain when applied to patients with culf cramps. The second purpose of this study was to determine the effect of manual therapy on iliaosacral joint that influence changes number of occurrences when applied to patients with frequent nocturnal culf cramps. Methods: The first study using reciprocal inhibition techniques to 20 patients with calf cramps and saw the change in pain. The second study using manual therapy on iliaosacral joint to 2 patients with frequent nocturnal culf cramps and saw the change in number of occurrences during the week. Results: The pain and number of occurrences were significantly difference between pre-treatment and post treatment. Conclusion: Based on the results of this study, we found that reciprocal inhibition decreased pain and that manual therapy on iliaosacral joint decreased number of occurrences.

• Journal of the Korean Mathematical Society
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• v.45 no.3
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• pp.835-840
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• 2008

The main result of this paper shows that every reciprocal Littlewood polynomial, one with {-1, 1} coefficients, of odd degree at least 7 has at least five unimodular roots, and every reciprocal Little-wood polynomial of even degree at least 14 has at least four unimodular roots, thus improving the result of Mukunda. We also give a sketch of alternative proof of the well-known theorem characterizing Pisot numbers whose minimal polynomials are in $$A_N=\{[{X^d+ \sum\limits^{d-1}_{k=0} a_k\;X^k{\in} \mathbb{Z}[X]\;:\;a_k={\pm}N,\;0{\leqslant}k{\leqslant}d-1}\}$$ for positive integer $N{\geqslant}2$.