• Korean Journal of Mathematics
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• v.25 no.4
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• pp.483-494
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• 2017

In the current manuscript, we investigate the pointwise convergence of the singular integral operators involving power nonlinearity given in the following form: $$T_{\lambda}(f;x)={\int_a^b}{\sum^n_{m=1}}f^m(t)K_{{\lambda},m}(x,t)dt,\;{\lambda}{\in}{\Lambda},\;x{\in}(a,b)$$, where ${\Lambda}$ is an index set consisting of the non-negative real numbers, and $n{\geq}1$ is a finite natural number, at ${\mu}$-generalized Lebesgue points of integrable function $f{\in}L_1(a,b)$. Here, $f^m$ denotes m-th power of the function f and (a, b) stands for arbitrary bounded interval in ${\mathbb{R}}$ or ${\mathbb{R}}$ itself. We also handled the indicated problem under the assumption $f{\in}L_1({\mathbb{R}})$.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.9 no.1
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• pp.79-90
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• 2005

In this paper we study the numerical solutions of the stochastic differential equations of the form $$du(x,\;t)=f(x,\;t,\;u)dt\;+\;g(x,\;t,\;u)dW(t)\;+\;\sum\limits_{|q|\leq2m}\;A_q(x,\;t)D^qu(x,\;t)dt$$ where $0\;{\leq}\;t\;{\leq}\;T,\;x\;{\in}\;R^{\nu}$, ($R^{nu}$ is the $\nu$-dimensional Euclidean space). Here $u\;{\in}\;R^n$, W(t) is an n-dimensional Brownian motion, $$f\;:\;R^{n+\nu+1}\;{\rightarrow}\;R^n,\;g\;:\;R^{n+\nu+1}\;{\rightarrow}\;R^{n{\times}n},$$, and $$A_q\;:\;R^{\nu}\;{\times}\;[0,\;T]\;{\rightarrow}\;R^{n{\times}n}$$ where ($A_q,\;|\;q\;|{\leq}\;2m$) is a family of square matrices whose elements are sufficiently smooth functions on $R^{\nu}\;{\times}\;[0,\;T]\;and\;D^q\;=\;D^{q_1}_1_{\ldots}_{\ldots}D^{q_{\nu}}_{\nu},\;D_i\;=\;{\frac{\partial}{\partial_{x_i}}}$.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.17 no.5
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• pp.164-172
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• 2016

The purpose of this study was to determine the relationships among the social support, depression, and health-related quality of life and the factors affecting the health-related quality of life in patients with coronary artery bypass graft (CABG). The subjects consisted of 134 patients who had received CABG from S general hospitals in Seoul, Korea, and the results were analyzed using the SPSS Win 21.0 program. The physical component summary (PCS) was significantly different depending on the age (F=4.616, p=.004), gender (t=3.657, p<.001), education (F=7.688, p=.001), current job (t=-4.363, p<.001), spouse (t=-3.065, p=.003), and underlying disease (F=3.078, p=.030) of the subjects. There were differences in the scores for the mental component summary (MCS) according to their gender (t=2.243, p=.027) and monthly income (F=2.821, p=.041). A significant negative correlation was found between social support and depression (r=-.415, p<.001). Social support had a statistically significant positive correlation with the MCS (r=.261, p=.002). Significant negative correlations were found between depression and the PCS (r=-.459, p<.001) and MCS (r=-.554, p<.001). The depression and underlying disease accounted for 36.7% of the variance in the PCS. The depression accounted for 34.1% of the variance in the MCS. Based on these results, nurses should develop nursing intervention programs for patients who have undergone CABG which take into consideration their depression.

• Journal of the Korean Society of School Health
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• v.12 no.2
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• pp.231-242
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• 1999

This study was designed to identify the relation between health beliefs and compliance with weight control behavior in obese high school students living in Chonnam province. The data were collected from May 24 to 29, 1999. The instruments used in this study were modified by the authors on the basis of the results of the study's related references. The data were analyzed by descriptive statistics, t-test, ANOVA, Pearson's Correlation using the SAS PC+ program. The results were as follows : 1. The correlation between health concern and compliance with weight control behavior was revealed as statistically significant (r= .34, p= .005). From the correlation of variables, it is concluded that there were statistically significant relations between health concern and benefit (r= .25, p= .043), between health concern and barrier (r= .33, p= .008), between susceptibility and severity (r= .64, p= .000), between susceptibility and benefit (r= .42, p= .000), between susceptibility and barrier (r= .44, p= .003), between severity and benefit (r= .37, p= .002), between severity and barrier (r= .56, p= .000), and between benefit and barrier (r= .38, p= .002). Thus, perceived susceptibility, perceived severity, perceived benefit, and perceived barrier had an indirect influence on compliance with weight control behavior. 2. In the analysis of the relationship between general characteristics and compliance with weight control behavior and health belief variables: Sex (t=2.56, p= .010) was revealed as the influencing variable of health concern. The number of those subjects living together (F=2.88, p= .044) was revealed as the influencing variable of susceptibility. Sex (t=3.47, p= .047), income (F=1.67, p= .051) was revealed as the influencing variable of barrier. 3. In the analysis of the relationship between obese characteristics and compliance with weight control behavior and health belief variables: Perception of weight (F=9.21, p= .000), family history of obesity (t=4.89, p= 030), environment of obesity (t=14.30, p= .000) were revealed as the influencing variables of susceptibility. Perception of weight (F=4.86, p= .001), symptoms of obesity (t=4.46, p= .006), family history of obesity (t=6.59, p= .012), environment of obesity (11.30, p= .001), and reasons of weight control (F=3.07, p= .010) were revealed as the influencing variables of severity. Symptoms of obesity (F=4.15, p= .009), reasons of weight control (F=2.41, p= .046) were revealed as the influencing variables of benefit. Environments of obesity (t=4.23, p= .044) were revealed as influencing variables of barrier. These results suggest that for improvement in compliance with weight control behavior, school nurses should stimulate the students' concerns about health.

• Journal of Microbiology and Biotechnology
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• v.29 no.8
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• pp.1266-1272
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• 2019

A bacterial strain, labeled $UR11^T$, was isolated from green alga Ulva pertusa collected from Jeju Island, Korea. $UR11^T$ was identified as a gram-negative, rod-shaped, motile by gliding and aerobic bacterial strain with yellow colonies on R2A plates. The strain $UR11^T$ grew over at a temperature range of $10^{\circ}C$ to $30^{\circ}C$ (optimally at $25^{\circ}C$), a pH range of 6.0-11 (optimally at pH 7.0) and a Nacl range of 0.5-5% Nacl (w/v). Phylogenetic analysis based on 16S rRNA gene sequences revealed that strain $UR11^T$ was a member of the genus Flavobacterium. Strain $UR11^T$ shared close similarity with F. jejuensis $EC11^T$ (98.0%) F. jumunjinense $HME7102^T$ (96.1%), F. haoranii $LQY-7^T$ (95.3%), F. dongtanense $LW30^T$ (95.1%), and F. ahnfeltiae 10Alg $130^T$(94.9%). The major fatty acids (>5%) were $iso-C_{15:0}$ (33.9%), $iso-C_{15:1}$ G (12.4%), $iso-C_{17:0}$ 3-OH (9.0%), $isoC_{16:0}$ (7.0%) and $iso-C_{15:0}$ 3-OH (6.3%). The major polar lipids were phosphatidylethanolamine, seven unknown aminolipids, two unknown aminopolarlipids and two unknown lipids. DNA-DNA hybridization value was 58% at strain $UR11^T$ with F. jejuensis $EC11^T$. Based on phenotypic, chemotaxonomic and phylogenetic evidence, strain $UR11^T$ represents a novel species of the genus Flavobacterium, for which the name Flavobacterium jocheonensis sp. nov. is proposed. The type strain is Flavobacterium jocheonensis is $UR11^T$ (=KCTC $52377^T$ =JCM $31512^T$).

• Journal of the Korean Mathematical Society
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• v.34 no.4
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• pp.1029-1036
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• 1997

Let ${A_t)}_{t>0}$ be a dilation group given by $A_t = exp(-P log t)$, where P is a real $n \times n$ matrix whose eigenvalues has strictly positive real part. Let $\nu$ be the trace of P and $P^*$ denote the adjoint of pp. Suppose that $K$ is a function defined on $R^n$ such that $$\mid$K(x)$\mid$ \leq k($\mid$x$\mid$_Q)$ for a bounded and decreasing function $k(t) on R_+$ satisfying $k \diamond $\mid$\cdot$\mid$_Q \in \cup_{\varepsilon >0}L^1((1 + $\mid$x$\mid$)^\varepsilon dx)$ where $Q = \int_{0}^{\infty} exp(-tP^*) exp(-tP)$ dt and the norm $$\mid$\cdot$\mid$_Q$ stands for $$\mid$x$\mid$_Q = \sqrt{}, x \in R^n$. For $f \in L^1(R^n)$, define $mf(x) = sup_{t>0}$\mid$K_t * f(x)$\mid$$ where $K_t(X) = t^{-\nu}K(A_{1/t}^* x)$. Then we show that $m$ is a bounded operator of $L^1(R^n) into L^{1, \infty}(R^n)$.

• Animal cells and systems
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• v.3 no.3
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• pp.275-283
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• 1999

Korean R. plancyi occupies a restricted area in western South Korea and shows a relatively low level of genic variability (%P＝15.2, Ho=0.052, He＝0.048). In contrast, R. nigromaculata is broadly distributed in South Korea. The observed low level of variability of R. nigromaculata (%P＝14.3, Ho＝0.042, He＝0.043) is probably due to its recent colonization. Populations of R. nigromaculata exhibited considerable genetic differentiation (F$_{sT}$=0.149) and low level of gene flow (Nm＝1.427) among populations, compared to those of R. Plancyi (F$_{sTF$_{sT}$}$=0.096, Nm＝2.354), which occupies a restricted area. The observed levels of gene flow among populations of R. nigromaculata (Nm＝1.427) over a broad geographic range is relatively higher than other amphibian species. The high level of gene flow is probably the result of the high dispersal abilities of R. nigromaculata. A survey of temporal genic variation of R. nigromaculata showed that there was no significant change on the overall average genetic diversity from 1978 (average He＝0.044) to 1997 (average He＝0.040). Wright's F-statistics also indicated no significant genetic differentiation from 1978 (F$_{sT}$＝0.118) to 1997 (F$_{sT}$＝0.108). This suggests that the environmental change appears to have had little influence on the genetic composition of R. nigromaculata in the study areas during the past 20 years. The low level of temporal variation might be due to the result of high dispersal abilities and wide migration range of this species.

• Journal of the Korean Chemical Society
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• v.38 no.8
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• pp.570-575
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• 1994

The metallation of $\alpha$-methylpyridine 1(a∼f) with n-BuLi produced $\alpha-methylenylpyridinium$ salt 3(a∼f) by elimination of butane. The trapping reactions of 3(a∼f) with $Me_3SiCl\;and\;Me_2SiClCH(SiMe_3)CH_2tBu$ produced only 4(a∼f) and 5(a∼f). The $\alpha$-hydrogen atom of silylated methylene group in 4(a∼f) is more reactive than unreacted $CH_3$ of 4(a∼f) itself and 1(a∼f) toward n-BuLi at low temperature in pentane medium.

• Bulletin of the Korean Mathematical Society
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• v.33 no.3
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• pp.377-383
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• 1996

We consider in this paper the following nonlinear regression model $$ (1.1) y_t = f(x_t, \theta_o) + \in_t, t = 1, \ldots, n, $$ where $y_t$ is the tth response, $x_t$ is m-vector imput variable, $\theta_o$ is a p-vector of unknown parameter belong to a parameter space $\Theta, f:R^m \times \Theta \ to R^1$ is a nonlinear known function, and $\in_t$ are independent unobservable random errors with finite second moment.

• Journal of the Korean Mathematical Society
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• v.33 no.2
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• pp.249-258
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• 1996

Analysis by the method of characteristics shows that if f and $u_0$ are smooth and $u_0$ has compact support, then the Hamilton-Jacobi equation $$ (H-J) ^{u_t + f(u_x) = 0, x \in R, t > 0, } _{u(x, 0) = u_0(x), x \in R, } $$ has a unique $C^1$ solution u on some maximal time interval $0 \leq t < T$ for which $lim_{t \to T}u(x, t) exists uniformly; but this limiting function is not continuously differentiable.