• Journal of the Korean Data and Information Science Society
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• v.22 no.3
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• pp.381-387
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• 2011

This paper suggests a method for estimating components of variance in one-factor random model. Estimates of variance components are given by the method of moments. Sums of squares due to variance sources are obtained by projections. This paper also shows how to use eigenvalues for getting the coefficients of variance components in the expression of the expectations of the mean squares. The suggested method shows easier and faster than the method of Harley's synthesis.

• The Journal of Korea Institute of Information, Electronics, and Communication Technology
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• v.8 no.1
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• pp.65-69
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• 2015

Joint flexibility is an important factor which affect the process and duration of the therapeutic methods in the filed of occupational therapy. Hip joint flexibility and electromyography (EMG) of major flexor and extensor for the hip joint were examined to understand the biomechanical characteristics of Proprioceptive Neuromuscular Facilitation (PNF). Hip joint flexibility increased $18.9^{\circ}$ on average after PNF was performed by a designated assistant on 10 college students. EMGs of quadriceps femoris muscle and hamstring muscles agreed with biomechanical characteristics of proprioceptive organs in muscles.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.14 no.11
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• pp.5730-5736
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• 2013

The study was conducted to determine the effect of trunk pattern training in proprioceptive neuromuscular facilitation(PNF) and weight-shift training on the muscle activity and static balance in patients with hemiplegia due to stroke. Twenty patients with hemiplegia due to stroke were assigned to the trunk pattern training in PNF group(n=10) or weight-shift training group(n=10). Both groups were executed conventional treatment for 5 times per week for 6 weeks 30 minutes per session. Each group performed additional training for 20 minutes. Post training, compared to the weight-shift training group, trunk pattern training in PNF group showed significantly increased on muscle activity of rectus femoris, gastrocnemius and static balance(p<.05). These results support the perceived benefits of trunk pattern training in PNF to augment on the static balance and muscle activity of stroke patients. Therefore, trunk pattern training in PNF is feasible and suitable for stroke patients.

• Journal of the Korean Applied Science and Technology
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• v.37 no.6
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• pp.1669-1677
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• 2020

The purpose of this study was to evaluate the effects of a 14-week proprioceptive resistance exercise on muscle endurance strength, dynamic balance and gait ability of elderly women in a social welfare facility. Thirty community dwelling elderly subjects (mean age 70.84±3.33) divided into experimental (n=15) and control (n=15) groups. The participants performed the muscle endurance strength(30sec hair stand), dynamic balance (3m up and go) and low extremity performance (10m walking, 400m walking) pre and after the training program. The exercise groups were submitted to 14 weeks proprioceptive training with a Swiss ball three times a week. As a results were as follow. Significantly improvements were observed in low extremity strength and dynamic balance. And there have significantly improvements in 10m walking, 400m walking. Conclusionly, the improvement of dynamic balance and gait ability by proprioceptive resistance training will reduce the possibility in female elderly people.

• Computational Structural Engineering
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• v.11 no.1
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• pp.205-216
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• 1998

A solution method is presented to solve the eigenvalue problem arising in the dynamic analysis of nonclassicary damped structural systems with multiple eigenvalues. The proposed method is obtained by applying the modified Newton-Raphson technique and the orthonormal condition of the eigenvectors to the linear eigenproblem through matrix augmentation of the quadratic eigenvalue problem. In the iteration methods such as the inverse iteration method and the subspace iteration method, singularity may be occurred during the factorizing process when the shift value is close to an eigenvalue of the system. However, even though the shift value is an eigenvalue of the system, the proposed method provides nonsingularity, and that is analytically proved. Since the modified Newton-Raphson technique is adopted to the proposed method, initial values are need. Because the Lanczos method effectively produces better initial values than other methods, the results of the Lanczos method are taken as the initial values of the proposed method. Two numerical examples are presented to demonstrate the effectiveness of the proposed method and the results are compared with those of the well-known subspace iteration method and the Lanczos method.

• Journal of the KSME
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• v.26 no.5
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• pp.389-393
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• 1986

고유치는 여러 공학문제에서 중요하다. 예를들어 비행기의 안전성은 어떤 행렬(matrix)의 고유 치에 의해서 결정된다. 보의 고유진동수는 실제로 행렬의 고유치이다. 좌굴(buckling) 해석도 행렬의 고유치를 구하는 문제이다. 고유치는 여러 수학적인 문제의 해석에서도 자연히 발생한다. 상수계수 일계연립상미분방정식의 해는 그 계수행렬의 고유치로 구할 수 있다. 또한 행렬의 제곱의 수렬 $A,{\;}A^{2},{\;}A^{3},{\;}{\cdots}$의 거동은 A의 고유치로서 가장 쉽게 해석할 수 있다. 이러한 수렬은 연립일차방정식(비선형)의 반복해에서 발생한다. 따라서 이 강좌에서는 행렬의 고유치를 수치적으로 구하는 문제에 대하여 고찰 하고자 한다. 실 또는 보소수 .lambda.가 행렬 B의 고유치라 함은 영이 아닌 벡터 y가 존재하여 $By={\lambda}y$ 가 성립할 때이다. 여기서 벡터 y를 고유치 ${\lambda}$에 속하는 B의 고유벡터라 한다. 윗식은 또 $(B-{\lambda}I)y=0$의 형으로도 써 줄 수 있다. 행렬의 고유치를 수치적으로 구하는 방법에는 여러 가지 방법이 있으나 그 중에서 효과있는 Danilevskii 방법을 소개 하고자 한다. 이 Danilevskii 방법에 의하여 특 성다항식(Characteristic polynomial)을 얻을 수 있고 이 다항식의 근을 얻는 방법 중에 Bairstow 방법 (또는 Hitchcock 방법)이 있는데 이에 대하여 아울러 고찰하고자 한다.

• The Korean Journal of Applied Statistics
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• v.24 no.2
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• pp.373-381
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• 2011

This paper discusses how to get the sums of squares due to treatment factors when Type I Analysis is used by projections for the analysis of data under the assumption of a two-way ANOVA model. The suggested method does not need to calculate the residual sums of squares for the calculation of sums of squares. There-fore, the calculation is easier and faster than classical ANOVA methods. It also discusses how eigenvectors and eigenvalues of the projection matrices can be used to get the calculation of sums of squares. An example is given to illustrate the calculation procedure by projections for unbalanced data.

• Journal of the Korean Data and Information Science Society
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• v.25 no.4
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• pp.799-805
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• 2014

This paper deals with a method for getting the Type III sums of squares on the basis of projections under the assumption of two-way fixed effects model. For unbalanced data in general total sum of squares is not equal to the sum of componentwise Type III sums of squares. There are some differencies between two quantities. The suggested method using projections can detect where the differences occur and how much they are different. The traditional ANOVA method could not explain clearly the differences. It also discusses how eigenvectors and eigenvalues of the projection matrices can be used to get the Type III sums of squares.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.14 no.11
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• pp.5689-5697
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• 2013

The purpose of this study was to determine the effects of scapular taping on muscle activities of the scapular rotators and anterior deltoid, ROM, shoulder pain, proprioception in subacute stroke patients. Twenty-eight patients were randomly assigned to an experimental and control groups of fourteen patients respectively. Muscle activity of upper and lower trapezius, serratus anterior, anterior deltoid was measured using surface electromyography. Visual analog scale was used for shoulder pain. Electro-Goniometry was used for shoulder elevation ROM. Assessment board was used for shoulder elevation proprioception. The muscle activity of the lower trapezius and serratus anterior increased significantly after scapular tape application (p<0.05). The AROM and PROM in the shoulder elevation significantly increased after scapular tape application (p<0.05). The VAS in the shoulder no significantly decreased after scapular tape application (p>0.05). The proprioception in the shoulder no significantly increased after scapular tape application (p>0.05). The results of this study suggest that scapular taping can be used an additional therapy for increasing muscle activity of lower trapezius and serratus anterior and ROM during shoulder elevation in subacute stroke patients.

• Journal of the Korean Data and Information Science Society
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• v.25 no.3
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• pp.547-554
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• 2014

This paper discusses a method of estimating variance components for random effects model. Henderson's method I and III are discussed for the esimation of variance components. This paper shows how to use projections instead of using Henderson's methods for the calculation of sums of squares which are quadratic forms in the observations. It also discusses that eigenvalues can be used for getting the expectations of sums of squares in place of using the method of Hartley's synthesis. It shows the suggested method is much more effective than those methods.