• Child Health Nursing Research
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• v.13 no.3
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• pp.357-366
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• 2007

Purpose: This study was conducted to survey and examine the relationship of family strengths, family function, ego-identity and depression in adolescence in Busan, and to provide basic data for a health promoting intervention to improve their family health. Method: Data were collected from four colleges in Busan and, 680 students were enrolled in the study. Descriptive statistics, t-test or ANOVA with Scheffe's test and Pearson's correlation coefficients were used to analyze the data. Results: The mean score for family strengths was 3.58, family function 4.31, ego-identity 55.4 and depression 17.9. The scores for family strengths differed significantly according to subjective social economic state and father's job, parent's religion, parent's marital status and family composition. The scores for family function differed significantly according to parent's religion, parent's marital status and subjective social economic state. The scores for ego-identity differed according to mother's education level, parent's religion, parent's marital status and family composition. There were a positive correlations between family strengths and family function, between family strengths and ego-identity, between family function and ego-identity. There were negative correlations between family strengths and depression, between family function and depression, between ego-identity and depression. Conclusion: In order to promote ego-identity and to decrease depression in adolescence, it is necessary to develop supporting interventions to develop family strengths.

• Journal of applied mathematics & informatics
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• v.5 no.1
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• pp.241-252
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• 1998

In this paper we try to construct the Green's function and investigate some properties of the Green's function. Also we discuss the variation $\delta$G($\chi$,t) of the Green's function G($\chi$,t) when the interval is varied.

• Honam Mathematical Journal
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• v.41 no.1
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• pp.1-17
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• 2019

The aim of this paper is to establish certain integrals involving product of the Aleph function with exponential function and multi Gauss's hypergeometric function. Being unified and general in nature, these integrals yield a number of known and new results as special cases. For the sake of illustration, twelve corollaries are also recorded here as special case of our main results.

• Journal of Institute of Control, Robotics and Systems
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• v.14 no.7
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• pp.615-623
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• 2008

This paper proposes an $H_{\infty}$ controller design method for Takagi-Sugeno (T-S) fuzzy systems using a fuzzy basis-function-dependent Lyapunov function. Sufficient conditions for the guaranteed $H_{\infty}$ performance of the T-S fuzzy control system are given in terms of linear matrix inequalities (LMIs). These LMI conditions are further used for a convex optimization problem in which the $H_{\infty}-norm$ of the closed-loop system is to be minimized. To facilitate the basis-function-dependent Lyapunov function approach and thus improve the closed-loop system performance, additional decision variables are introduced in the optimization problem, which provide an additional degree-of-freedom and thus can enlarge the solution space of the problem. Numerical examples show the effectiveness of the proposed method.

• Journal of the Korean Mathematical Society
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• v.54 no.2
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• pp.575-598
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• 2017

This paper introduces and studies a generalization of the classical Struve function of order p given by $$_aS_{p,c}(x):=\sum\limits_{k=0}^{\infty}\frac{(-c)^k}{{\Gamma}(ak+p+\frac{3}{2}){\Gamma}(k+\frac{3}{2})}(\frac{x}{2})^{2k+p+1}$$. Representation formulae are derived for $_aS_{p,c}$. Further the function $_aS_{p,c}$ is shown to be a solution of an (a + 1)-order differential equation. Monotonicity and log-convexity properties for the generalized Struve function $_aS_{p,c}$ are investigated, particulary for the case c = -1. As a consequence, $Tur{\acute{a}}n$-type inequalities are established. For a = 2 and c = -1, dominant and subordinant functions are obtained for the Struve function $_2S_{p,-1}$.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2005.11a
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• pp.915-918
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• 2005

Acoustic holography uses Kirchhoff·Helmholtz integral equation and Green's function which satisfies Dirichlet boundary condition Applications of acoustic holography have been taken to the sound field neglecting the effect of flow. The uniform flow, however, changes sound field and the governing equation, Green's function and so on. Thus the conventional method of acoustic holography should be changed. In this research, one possibility to apply acoustic holography to the sound field with uniform flow is introduced through checking for the plane wave in a duct. Change of Green's function due to uniform flow and one method to derive modified form of Kirchhoff·Heimholtz integral is suggested for 1-dimensional sound field. Derivation results show that using Green's function satisfying Dirichlet boundary condition, we can predict sound pressure in a duct using boundary value.

• Journal of applied mathematics & informatics
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• v.14 no.1_2
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• pp.493-498
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• 2004

In this paper, we try to construct the variation of the Green's function and investigate some operator properties of the Green's function. Also, we discuss the variation of the operator of the Green's function G(x, t) when the operator is varied.

• Journal of International Academy of Physical Therapy Research
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• v.11 no.4
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• pp.2191-2196
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• 2020

Background: Incorrect postures of adolescents caused by the use of smart devices have been noted as a factor causing spinal diseases. Objectives: To examine the effect of joint mobilization and stretching on Cobb's angle and respiratory function in adolescent idiopathic scoliosis (AIS). Design: Cluster-randomized controlled trial. Methods: A total of 22 subjects with AIS were enrolled. They were allocated to two groups: the joint mobilization (n=11) and the stretching (n=11). All interventions were conducted for 30 minutes, three times a week for six weeks. Outcome measures were the Cobb's angle and respiratory function. The Cobb's angle and respiratory function measured using the X-ray and Micro-Quark. Results: Joint mobilization group showed significant differences in Cobb's angle and respiratory function, but stretching group showed significant differences Cobb's angle. The differences in peak expiratory flow (PEF) between the two groups were significant. Conclusion: This study proved that joint mobilization is a more effective intervention for AIS to improve Cobb's angle and respiratory function, when compared to stretching.

• Honam Mathematical Journal
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• v.43 no.2
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• pp.183-197
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• 2021

Recently several authors have extended the Beta function by using its integral representation. However, in many cases no expression of these extended functions in terms of classic special functions is known. In the present paper, we introduce a further extension by defining a family of functions G_r,s : ℝ^*₊ → ℂ, with r, s ∈ ℂ and ℜ(r) > 0. For given r, s, we prove that this function satisfies a second-order linear differential equation with rational coefficients. Solving this ODE, we express G_r,s as a combination of confluent hypergeometric functions. From this we deduce a new integral relation satisfied by Tricomi's function. We then investigate additional specific properties of G_r,1 which take the form of new non trivial integral relations involving exponential and error functions. We discuss the connection between G_r,1 and Stokes' first problem (or Rayleigh problem) in fluid mechanics which consists in determining the flow created by the movement of an infinitely long plate. For $r{\in}{\frac{1}{2}}{\mathbb{N}}^*$, we find additional relations between G_r,1 and Hermite polynomials. In view of these results, we believe the family of extended beta functions G_r,s will find further applications in two directions: (i) for improving our knowledge of confluent hypergeometric functions and Tricomi's function, (ii) and for engineering and physics problems.

• Physical Therapy Rehabilitation Science
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• v.6 no.3
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• pp.113-119
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• 2017

Objective: The objective of this study was to investigate the effects of Schroth's three-dimensional exercises in combination with respiratory muscle exercise (SERME) on Cobb's angle and functional movement screen (FMS). Design: Randomized controlled trial. Methods: Fifteen subjects with scoliosis were randomly assigned to two groups. Eight subjects were assigned to the experimental group and seven subjects were assigned to the control group. The experimental group underwent SERME using SpiroTiger (Idiag, Switzerland), while the control group performed only the Schroth's three-dimensional exercises (SE). Both groups performed exercises for one hour per day, three times a week for eight weeks. Cobb's angle, pulmonary function (forced vital capacity, forced expiratory volume at one second, and peak expiratory flow) and FMS were measured before and after the experiment. Results: After intervention, the SERME group showed a significant difference in Cobb's angle, FMS scores, and pulmonary function as compared to before intervention (p<0.05). In the SE group, there was a statistically significant difference in Cobb's angle, pulmonary function, and FMS scores compared to before intervention (p<0.05). The SERME group showed a significant difference in Cobb's angle and peak expiratory flow in pulmonary function compared to the SE group (p<0.05). Conclusions: The results suggest that SERME could be a more effective intervention for improvement of the Cobb's angle and pulmonary function for scoliosis patients.