• 제목/요약/키워드: symmetric methods

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실대칭 행력의 고유쌍에 대한 수치해법 (Numerical Method for Eigen Pairs of a Real Valued Symmetric Matrix)

  • 최성;조영식;백청호
    • 한국정보처리학회논문지
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    • 제5권1호
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    • pp.97-102
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    • 1998
  • 사회과학 분야에 응용되는 고유치 문제의 대상 행렬은 실대칭 행렬인 경우가 대부분이다. 또한, 이 분야에서의 고유치 문제는 데이터에 대한 잠재 구조를 파악하기 위해, 절대치의 크기 순으로 2∼4개의 고유쌍만을 필요로 하는 경우가 대부분이다. 컴퓨터에 의한 수치 계산으로 고유쌍을 구하는 방법들은 행렬에 대한 계산이기 때문에 마무리 오차의 문제가 필연적으로 대두된다. 본 논문은, 실대칭 행렬에 대해서 멱수법을 이용하여, 절대치가 큰 순서로 필요한 만큼의 고유쌍을 구하는 수치해법에 관하여 논술한 것으로서, 고유쌍 전체를 구하는 기존의 방법들에 비해서 계산 횟수를 줄일 수 있다는 이점이 있다.

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Algorithm of solving the problem of small elastoplastic deformation of fiber composites by FEM

  • Polatov, Askhad M.;Khaldjigitov, Abduvali A.;Ikramov, Akhmat M.
    • Advances in Computational Design
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    • 제5권3호
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    • pp.305-321
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    • 2020
  • In this paper is presented the solution method for three-dimensional problem of transversely isotropic body's elastoplastic deformation by the finite element method (FEM). The process of problem solution consists of: determining the effective parameters of a transversely isotropic medium; construction of the finite element mesh of the body configuration, including the determination of the local minimum value of the tape width of non-zero coefficients of equation systems by using of front method; constructing of the stiffness matrix coefficients and load vector node components of the equation for an individual finite element's state according to the theory of small elastoplastic deformations for a transversely isotropic medium; the formation of a resolving symmetric-tape system of equations by summing of all state equations coefficients summing of all finite elements; solution of the system of symmetric-tape equations systems by means of the square root method; calculation of the body's elastoplastic stress-strain state by performing the iterative process of the initial stress method. For each problem solution stage, effective computational algorithms have been developed that reduce computational operations number by modifying existing solution methods and taking into account the matrix coefficients structure. As an example it is given, the problem solution of fibrous composite straining in the form of a rectangle with a system of circular holes.

Three-dimensional symmetry and parallelism of the skeletal and soft-tissue poria in patients with facial asymmetry

  • Kim, Min-Gun;Lee, Jin-Woo;Cha, Kyung-Suk;Chung, Dong-Hwa;Lee, Sang-Min
    • 대한치과교정학회지
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    • 제44권2호
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    • pp.62-68
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    • 2014
  • Objective: The purpose of this study was to examine the symmetry and parallelism of the skeletal and soft-tissue poria by three-dimensional (3D) computed tomographic (CT) imaging. Methods: The locations of the bilateral skeletal and soft-tissue poria in 29 patients with facial asymmetry (asymmetric group) and 29 patients without facial asymmetry (symmetric group) were measured in 3D reconstructed models of CT images by using a 3D coordinate system. The mean intergroup differences in the anteroposterior and vertical angular deviations of the poria and their anteroposterior and vertical parallelism were statistically analyzed. Results: The symmetric and asymmetric groups showed significant anteroposterior angular differences in both the skeletal and the soft-tissue poria (p = 0.007 and 0.037, respectively; Mann-Whitney U-test). No significant differences in the anteroposterior and vertical parallelism of the poria were noted ($p{\leq}0.05$; Wilcoxon signed-rank test). Conclusions: In general, the skeletal poria are parallel to the soft-tissue poria. However, patients with facial asymmetry tend to have asymmetric poria.

Supporter to Rectifying the Asymmetric Sitting Posture of Post Stroke

  • Lee, In-Hee;Choi, Jin-Ho;Park, Sang-Young
    • The Journal of Korean Physical Therapy
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    • 제23권3호
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    • pp.43-47
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    • 2011
  • Purpose: This study determined the best adjustable height supporter for stroke patients in wheelchairs for the maintenance of a symmetric sitting posture. Methods: Thirty-one stroke participants and 20 age-matched control participants were recruited. The enrolled participants were evaluated by the Force Sensitive Application (FSA) System that was used to assess weight shift and symmetry in wheelchair sitting and assess the symmetric index (SI) of subjects according to 1, 2 and 3 cm height supporters. Results: When a 1 cm height supporter was applied to the paretic side of stroke survivors, sitting postures of stroke patients were significantly more symmetrical (p<0.01). Cross tabulation between the SI of wheelchair sitting and that of the paretic side of stroke patients caused? by a 1 cm supporter showed that 21 SIs of 26 stroke patients were improved by a 1 cm supporter to the paretic side (k=0.26, p<0.01). Conclusion: The findings of the present study demonstrate that stroke patients can maintain a more symmetrical sitting posture (than is possible when simply sitting in a wheelchair seat) if a 1 cm supporter is applied to the paretic side of stroke patients.

A Fast Scheme for Inverting Single-Hole Electromagnetic Data

  • Kim Hee Joon;Lee Jung-Mo;Lee Ki Ha
    • 대한자원환경지질학회:학술대회논문집
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    • 대한자원환경지질학회 2002년도 춘계 공동학술발표회
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    • pp.167-169
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    • 2002
  • The extended Born, or localized nonlinear approximation of integral equation (IE) solution has been applied to inverting single-hole electromagnetic (EM) data using a cylindrically symmetric model. The extended Born approximation is less accurate than a full solution but much superior to the simple Born approximation. When applied to the cylindrically symmetric model with a vertical magnetic dipole source, however, the accuracy of the extended Born approximation is greatly improved because the electric field is scalar and continuous everywhere. One of the most important steps in the inversion is the selection of a proper regularization parameter for stability. Occam's inversion (Constable et al., 1987) is an excellent method for obtaining a stable inverse solution. It is extremely slow when combined with a differential equation method because many forward simulations are needed but suitable for the extended Born solution because the Green's functions, the most time consuming part in IE methods, are repeatedly re-usable throughout the inversion. In addition, the If formulation also readily contains a sensitivity matrix, which can be revised at each iteration at little expense. The inversion algorithm developed in this study is quite stable and fast even if the optimum regularization parameter Is sought at each iteration step. Tn this paper we show inversion results using synthetic data obtained from a finite-element method and field data as well.

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Recognition of Radar Emitter Signals Based on SVD and AF Main Ridge Slice

  • Guo, Qiang;Nan, Pulong;Zhang, Xiaoyu;Zhao, Yuning;Wan, Jian
    • Journal of Communications and Networks
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    • 제17권5호
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    • pp.491-498
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    • 2015
  • Recognition of radar emitter signals is one of core elements in radar reconnaissance systems. A novel method based on singular value decomposition (SVD) and the main ridge slice of ambiguity function (AF) is presented for attaining a higher correct recognition rate of radar emitter signals in case of low signal-to-noise ratio. This method calculates the AF of the sorted signal and ascertains the main ridge slice envelope. To improve the recognition performance, SVD is employed to eliminate the influence of noise on the main ridge slice envelope. The rotation angle and symmetric Holder coefficients of the main ridge slice envelope are extracted as the elements of the feature vector. And kernel fuzzy c-means clustering is adopted to analyze the feature vector and classify different types of radar signals. Simulation results indicate that the feature vector extracted by the proposed method has satisfactory aggregation within class, separability between classes, and stability. Compared to existing methods, the proposed feature recognition method can achieve a higher correct recognition rate.

Comparisons of Increased Repetitions and Exercise Intensity of the Symmetric Upper Limbs between Men and Women

  • Jee, Haemi
    • 국제물리치료학회지
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    • 제11권3호
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    • pp.2147-2154
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    • 2020
  • Background: Improperly conducted exercise may lead to worsening of musculoskeletal complications. Such may worsen due to increased repetition and intensity during exercise. In addition, different responses may show different needs for training program. Objectives: To compare kinematics of symmetric concentric and eccentric motions during increased repetitions and intensities for men and women. Design: Quasi-randomized trial. Methods: A total of ten men and eleven women participated in this study. Concentric and eccentric motions of the lateral raises were observed for initial positions of abduction and adduction. Low and high exercise intensities were applied, and 15 repetitions were conducted for both intensities. Initial, 3 inbetween repetitions, and last repetition were recorded for comparisons. Results: The concentric or abduction motions showed no significant differences for all comparisons. However, eccentric or adduction motions showed greater significant differences as the exercise intensity increased for both men and women. Such significant differences were most prevalent during the first and last repetitions with greatest differences during the initial repetitions. Conclusion: Kinematic difference between men and women during increased repetitions and intensity indicate the need for more individualized exercise intervention and consideration between men and women. Individualized interventions may prevent exercise-induced postural abnormality and corresponding musculoskeletal dysfunction.

연령와 이중과제 수행이 자세제어에 미치는 영향 (The Effect of Age and Dual Task to Human Postural Control)

  • 신성훈;장대근;장재근;박승훈
    • 한국운동역학회지
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    • 제23권2호
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    • pp.169-177
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    • 2013
  • The purpose of this study is to investigate the effect of aging and dual tasking to the postural control during quiet standing. It was hypothesized that the center of pressure (COP) dynamics would be differently affected by aging and characteristics of the task. Total 60 adults (35 young adults and 25 older adults) participated in this study. They conducted two different standing tasks (dual vs. Nondual) twice in a random order. Variability, complexity, coupling and symmetric index from the left, right and overall COPs were measured by various parameters in nonlinear, linear and frequency analyses methods. Results demonstrated that older adults had worse performance in postural control with decreased complexity in overall sway movement, and increased coupling between left and right limb COP movement, even though there was no significant difference in symmetric index. These tendencies are generally clearer in nonlinear measures at the dual task condition. Results implied that older adults had compensatory strategy in dual tasking which results in simple and combined postural movement patterns.

잠재적 블록을 가지는 대칭적 시간표 모듈의 유연성과 제어성 (Flexibility and Controllability of Symmetric Timetable Modules with Potential Blocks)

  • 하종성;류관희
    • 한국콘텐츠학회논문지
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    • 제18권12호
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    • pp.229-237
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    • 2018
  • 본 논문에서는 대학교에서 시간표 작성 시 사용자의 다양한 요구사항들을 쉽게 충족시킬 수 있는 효과적인 시간표 모듈에 대하여 논의한다. 시간표 모듈에 따라서 시간블록의 할당방법도 달라진다는 점에 주목하고 먼저 4 블록 단위로 구성된 대칭적 시간표 모듈 6종을 제시하고 3블록 단위로 구성된 것에 비하여, 수요자 관점에서는 아무 손실 없이 그리고 공급자 관점에서는 공간사용율 상한선 감소를 감안하면, 더 많은 장점을 가진다는 점을 보인다. 제시된 모델들에 잠재적으로만 결정된 잠재블록 개념을 도입 적응시키고 운용 전략을 제시함으로써, 최종적으로 대학시간표 작성 시 유연성과 제어성을 동시에 얻는 방법을 완성한다.

고속 공기 스핀들 설계를 위한 근사해석과 회전체동역학의 비교 (Comparison of Approximation and Rotordynamics Solutions for Design of a High Speed Air Spindle)

  • 이재혁;박상신
    • Tribology and Lubricants
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    • 제35권5호
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    • pp.310-316
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    • 2019
  • This paper presents two methods for designing a high-speed air spindle operated over the rotational speed of 50,000 rpm. The first method is an approximate method, which assumes a symmetric spindle shape even though it is not symmetric in reality. The second is an analysis of rotordynamics using beam and solid models. The approximate method can be used to calculate the bearing load capacities, stiffness and damping coefficients, stability of the shaft system, and response of the forced excitation from the unbalanced mass. Designers can use this method to determine the dimensions of the desired spindle at the first stage of the design. The more detailed behavior of the spindle can be calculated using the rotordynamics theory using beam and solid models based on the Finite Element Method. In this paper, a spindle, with two air bearings, one motor at the end, and two air thrust bearings, is newly developed. The solutions from the two rotordynamics theories are compared with the solution obtained using the approximate method. The three calculations are in agreement, and the procedure for the design of a spindle system, supported on the externally pressurized air bearings, ispresented and discussed.