• The Pure and Applied Mathematics
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• 제17권1호
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• pp.39-49
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• 2010

This paper deals with the second-order differential equation (p(t)x'(t))' + g(t)f(t, x(t), x'(t)) = 0, a.e. in (0, $\infty$) with the boundary conditions $$x(0)={\int}^{\infty}_0g(s)x(s)ds,\;{lim}\limits_{t{\rightarrow}{\infty}}p(t)x'(t)=0,$$ where $g\;{\in}\;L^1[0,{\infty})$ with g(t) > 0 on [0, $\infty$) and ${\int}^{\infty}_0g(s)ds\;=\;1$, f is a g-Carath$\acute{e}$odory function. By applying the coincidence degree theory, the existence of at least one solution is obtained.

• Journal of Home Health Care Nursing
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• 제26권1호
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• pp.102-110
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• 2019

Purpose: This study aimed to investigate the effects of a nurse-led community comprehensive exercise program on the body composition, physical function, and health-related quality of life in elderly patients with osteoporosis. Method: The study was conducted with one group pretest-posttest design. A total of 57 elderly patients participated in 8 weeks of intervention. Data was analyzed with the SPSS ver. 23.0 using descriptive statistics and paired t-test. Results: At the end of the intervention, body mass index was significantly increased (t=2.93, p=.005), but right leg balance (t=2.40, p=.02) was significantly improved. In addition, the total Korean-Western Ontario and McMaster Universities Osteoarthritis Index (K-WOMAC) (t=3.48, p=.001), knee pain (t=2.61, p=.012), stiffness (t=2.53, p=.014), and physical function (t=3.51, p=.001) were significantly decreased. EuroQoL Visual Analogue Scale (EQ-VAS) scores (t=4.25, p<.001) were significantly improved. Conclusion: The nurse-led eight-week community comprehensive exercise program did not show desirable change in the body composition but was effective on the physical function and health-related quality of life for older people with osteoartritis.

• Journal of the Korean Society of Radiology
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• 제16권5호
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• pp.545-551
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• 2022

This study analyzed the correlation between stress measurements calculated through HRV signals and thyroid function test items. 181 healthy adults without disease who visited Clinic K were the subjects of this study. Stress resistance (SR) and stress index (SI) were calculated using the acquired HRV signal, and TSH, Free T4, and T3 were used as thyroid function test items. For the measured values, the relationship between each item was statistically analyzed through Pearson correlation analysis. From the results, it was confirmed that Free T4 and SR had a positive correlation (r=0.18) and a negative correlation with SI (r=-0.16). Through this, it was confirmed that there is a significant relationship between thyroid function and HRV signal.

• Journal of Korean Society for Quality Management
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• 제48권4호
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• pp.535-552
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• 2020

Purpose: The main theme of this study is to derive a specific quality loss function with multiple characteristics according to the same analytical structure as the single characteristic quality loss function of Taguchi. In other words, it presents an analytical framework for measuring quality costs that can be controlled in practice. Methods: This study followed the analytical methodology through geometric, linear algebraic, and statistical approaches Results: The function suggested by this study is as follows; $$L(x_1,x_2,{\cdots},x_t)={\sum\limits_{i=1}^{t}}k_i\{x_i+{\sum\limits_{j=1}^{t}}\({\rho}_{ij}{\frac{d_i}{d_j}}\)x_j\}x_i$$ Conclusion: This paper derived the quality loss function with multiple quality characteristics to expand the usefulness of the Taguchi quality loss function. The function derived in this paper would be more meaningful to estimate quality costs under the practical situation and general structure with multiple quality characteristics than the function by linear algebraic approach in response surface analysis.

• Proceedings of the Korean Statistical Society Conference
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• 한국통계학회 2003년도 추계 학술발표회 논문집
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• pp.73-78
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• 2003

This presentation derives a distribution function of the terminal value and running maximum of two-dimensional Brownian motion {X(t) = (X$_1$(t), X$_2$(T))', t > 0}. One random variable of the joint distribution is the terminal time value of the Brownian motion {X$_1$(t), t > 0}. The other random variable is the partial-time running maximum of the Brownian motion {X$_2$(t), t > 0}. With this distribution function, this presentation also derives an explicit pricing formula for a barrier option whose monitoring period of the option starts at an arbitrary date and ends at another arbitrary date before maturity.

• Language and Information
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• 제14권2호
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• pp.47-70
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• 2010

This study investigates the semantic and prosodic properties of the so-called contrastive topic. We posit two informational primitives, namely, topical feature [+-T] and focal feature [+-F], from which four different informational categories, i.e., [+T, +F], [+T, -F], [-T, +F], and [-T, -F], are yielded. It is proposed that the informational category of contrastive topic has focal property [+F] as well as topical property [+T]. Based on the semantic approach that regards the function of [+F] as identificational predication and that of [+T] as forming a semantic conditional clause, it is shown that the semantic function of contrastive topic, which is specified as [+T, +F], is the combination of these two functions, i.e., identificational predication in a semantic conditional clause. This is supported by a scrutinized exploration of the prosodic pattern of English contrastive topic.

• Journal of applied mathematics & informatics
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• 제38권5_6호
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• pp.591-600
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• 2020

This work is a continuation of our investigations for p-adic analogue of the alternating form Dirichlet L-functions $$L_E(s,{\chi})={\sum\limits_{n=1}^{\infty}}{\frac{(-1)^n{\chi}(n)}{n^s}},\;Re(s)>0$$. Let L_p,E(s, t; χ) be the p-adic Euler L-function of two variables. In this paper, for any α ∈ ℂ_p, |α|_p ≤ 1, we give a power series expansion of L_p,E(s, t; χ) in terms of the variable t. From this, we derive a power series expansion of the generalized Euler polynomials with negative index, that is, we prove that $$E_{-n,{\chi}}(t)={\sum\limits_{m=0}^{\infty}}\(\array{-n\\m}\)E_{-(m+n),{\chi}^{t^m}},\;n{\in}{\mathbb{N}}$$, where t ∈ ℂ_p with |t|_p < 1. Some further properties for L_p,E(s, t; χ) has also been shown.

• Kyungpook Mathematical Journal
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• 제27권1호
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• pp.55-60
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• 1987

A linear system $\dot{x}= A(t)x$, with A(t+w)=A(t) is considered. A step function approximation of a periodic matrix is constructed. The stability criteria is discussed.

• Communications of the Korean Mathematical Society
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• 제38권3호
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• pp.715-723
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• 2023

In this paper, we construct explicitly an infinite family of primes P with h^±_P ≡ 0 (mod q^{deg P}), where h^±_P are the plus and minus parts of the divisor class number of the P-th cyclotomic function field over 𝔽_q(T). By using this result and Dirichlet's theorem, we give a condition of A, M ∈ 𝔽_q[T] such that there are infinitely many primes P satisfying with h^±_P ≡ 0 (mod p^e) and P ≡ A (mod M).

• Journal of Korean Academy of Nursing
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• 제42권6호
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• pp.843-852
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• 2012

Purpose: In this study a recreational combination gymnastics program was provided for women 75 years of age or older and the effects on physical fitness (grip strength, static balance, ability to do complex movement), depression, cognitive function and quality of life were examined. Methods: A quasi-experimental study employing a nonequivalent control group, pre-post design was conducted. Participants included 53 women elders whose cognitive function was within the normal range. The women were assigned to an experimental group (27) or a control group (26). The intervention was conducted twice a week for a period of 12 weeks. Chi-square test, t-test, paired t-test, Wilcoxon rank sum test and Wilcoxon signed rank test were used for data analysis. Results: Following completion of the program, left grip strength (t=2.17, p=.035), right grip strength (t=2.04, p=.046), static balance (t=-2.18, p=.030), depression (z=-2.88, p=.004), cognitive function (t=3.96, p<.001), and quality of life (t=-3.19, p=.002) were significantly better in the experimental group. Conclusion: Findings from this study indicate that recreational combination gymnastics programs are effective in enhancing physical fitness, cognitive function, and quality of life and in decreasing depression for female elders and could therefore be regarded as positive programs for promotion of physical and mental health for older women.