• The Pure and Applied Mathematics
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• v.29 no.3
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• pp.245-254
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• 2022

In this paper, we use some theta-function identities involving certain parameters to show how to evaluate Rogers-Ramanujan continued fraction R($e^{-2{\pi}\sqrt{n}}$) and S($e^{-{\pi}\sqrt{n}}$) for $n=\frac{1}{5.4^m}$ and $\frac{1}{4^m}$, where m is any positive integer. We give some explicit evaluations of them.

• Korean Journal of Mathematics
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• v.31 no.4
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• pp.433-444
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• 2023

Given a function f analytic in open disk centred at origin of radius unity and satisfying the condition |f(z)/g(z) - 1| < 1 for a analytic function g with certain prescribed conditions in the unit disk, radii constants R are determined for the values of Rzf'(Rz)/f(Rz) to lie inside the domain enclosed by the curve |w² - 1| = 1 (lemniscate of Bernoulli). This, in turn, provides a partial solution to the conjectures and problems for determination of sharp bounds R for such functions f.

• Journal of Korean Academy of Nursing
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• v.51 no.6
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• pp.746-757
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• 2021

Purpose: The purpose of this study was to explore the factors influencing the occupational attitudes of nursing students in the probation period. Methods: Nursing students in the probation period from five hospitals completed an anonymous survey. The instruments included the nursing occupational attitude scale, family adaptability, partnership, growth, affection, and resolve index, and perceived social support scale. The study examined the moderation model between family function, perceived social support, and occupational attitudes using PROCESS 3.2. Results: For nursing students, when social support was low, family function had a significant positive impact on occupational attitudes and intentions, and the effect was much higher than that of perceived social support. Conclusion: Family function has a significant positive explanatory effect on attitude and intention (β = .13, p < .001 and β = .12, p < .001); the interaction term between family function and perceived social support are significant (β = .01, p < .001 and β = .01, p < .001). Perceived social support has a significant moderating effect on the relationship between family function and occupational attitudes of nursing students in the probation period. Family function has a significant difference in the occupational attitudes and intentions of nursing students with low perceived social support. Nursing students perceive social support in the probation period has a significant moderation effect in the relationship between their family function and occupational attitudes. Interns with low family function should be given more social support to improve their occupational attitudes.

• 한국노년학
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• v.39 no.3
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• pp.549-567
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• 2019

The present study examined whether the relation between relative handgrip strength and cognitive function varied by paid employment status and participation of social activities among Korean older adults. A total of 3,376 Korean adults aged 65 or older were drawn from the 2016 Korean Longitudinal Study of Ageing (KLoSA). Weighted hierarchical regression analyses were conducted to examine moderating effects of paid employment status and social activities on the relation between relative handgrip strength and cognitive function. After adjusting for covariates, results show that relative handgrip strength has a positive association with cognitive function. Both paid employment status and social activities have positive associations with cognitive function and moderate the relationship between relative handgrip strength and cognitive function. These significant moderating effects show that participating in paid employment and social activities buffer against the effect of lower handgrip strength on cognitive function. Findings from the present study highlight the significant role of active aging in older adults'cognitive function. Implications are discussed in a cultural context.

• Bulletin of the Korean Mathematical Society
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• v.42 no.2
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• pp.421-432
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• 2005

Suppose that an infinite graph G of bounded degree has finite number of ends, each of which is p-regular, where $1. Then we can identify all the positive (bounded, respectively) p-harmonic functions on G.

• The Journal of the Korean life insurance medical association
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• v.2 no.1
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• pp.37-44
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• 1985

A study on the occurrence of hepatitis B has been done for 2,680 employees in Daehan Life Insurance Company. The positive rates of HBsAg and anti-HBs were 6.56% and 18.9% respectively. The positive rates of HBsAg and anti-HBs were higher by 2.25% and 2.06% respectively in male than in female. HBsAg and anti-HBs positives were higher at age of 30 to 50 years than other age groups. The drinker group shows higher positive of HBsAg and anti-HBs by 10.44% and 4.26% respectively than non-drinker group. Most of the results of liver function tests in HBsAg positive cases were within reference ranges. HBsAg or anti-HBs positive rate in the family members of HBsAg or anti-HBs positive employees was higher than the over-all positive rates of all subjects, by 14.55% in case of HBsAg and by 2.21% in case of Anti-HBs.

• Journal of Electrical Engineering and Technology
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• v.8 no.6
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• pp.1530-1541
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• 2013

The coexistence and extinction of species are important concepts for biological systems and can be distinguished by an investigation of stability. When determining local stability of nonlinear systems, Lyapunov indirect method based on the Jacobian linearization has been widely employed due to its simplicity. Despite such popularity, it is not applicable to singular systems whose Jacobian has at least one eigenvalue that is equal to zero. In such singular cases, an appropriate Lyapunov function should be sought to determine the stability of systems, which is rather difficult and quite involved. In this paper, we seek for a simple criterion to determine stability of the equilibrium that is located at the boundary of the positive orthant, when one of eigenvalues of the Jacobian is zero. The goal of the paper is to present a generalized condition for the equilibrium to attract all trajectories that starting from initial condition in the positive orthant and near the equilibrium. Unlike the Lyapunov direct method, the proposed method requires just a simple algebraic computation for checking the stability of the critical point. Our approach is applied to various biological systems to show the effectiveness of the proposed method.

• Journal of Korean Clinical Health Science
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• v.9 no.2
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• pp.1520-1525
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• 2021

Purpose. This study conducted visual function training for children under 12 years of age who relapsed after surgery for intermittent exotropia. We are trying to find out whether the visual function has been improved by visual function training. Methods. After surgery, the subject with recurrent exotropia was given a prescription for refractive error, followed by visual function training and vision therapy with visual sence using prisms and lenses. Results. The subjects' positive relative convergence improved to 19.69𝚫, corrected visual acuity improved to 0.88, and stereoscopic vision function improved to 53.08 arc second. It was found that the smaller the angle of deviation at the time of recurrence after surgery, the better the vision therapy effect. Conclusions. It can be seen that visual function training is helpful in improving visual function, and the importance of visual function training can be known.

• Journal of the Korean Statistical Society
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• v.22 no.1
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• pp.93-111
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• 1993

Let ${X(t) : t \geq 0}$ be a real-valued stochastics process with stationary independent increments. In this paper, under the condition of stochastic compactness, we obtain appropriate function $\alpha(t)$ and random function $\beta(t)$ such that for some positive finite constant C, lim sup${X(t) - \alpha(t)}/\beta(t) = C$ a.s. both as t tends to zero and infinity.

• Bulletin of the Korean Mathematical Society
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• v.59 no.2
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• pp.431-452
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• 2022

For any positive integer 𝜇, we compute the mean value of the 𝜇-th derivative of quadratic Dirichlet L-functions over the rational function field 𝔽_q(t), where q is a power of 2.