• Title/Summary/Keyword: hyper-dimension

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Transonic Magnetohydrodynamic Turbulence

  • LEE HYESOOK;RYU DONGSU;KIM JONGSOO;JONES T. W.
    • Journal of The Korean Astronomical Society
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    • v.34 no.4
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    • pp.321-323
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    • 2001
  • Compressible, magnetohydrodynamic (MHD) turbulence in two dimension is studied through high-resolution, numerical simulations with the isothermal equation of state. First, hydrodynamic turbulence with Mach number $(M)_{rms}\;\~$1 is generated by enforcing a random force. Next, initial, uniform magnetic field of various strengths with Alfvenic Mach number Ma $\gg$ 1 is added. Then, the simulations are followed until MHD turbulence is fully developed. Such turbulence is expected to exist in a variety of astrophysical environments including clusters of galaxies. Although no dissipation is included explicitly in our simulations, truncation errors produce dissipation which induces numerical resistivity. It mimics a hyper-resistivity in our second-order accurate code. After saturation, the resulting flows are categorized as SF (strong field), WF (weak field), and VWF (very weak field) classes respectively, depending on the average magnetic field strength described with Alfvenic Mach number, $(Ma)_{rms}{\ge}1$, $(Ma)_{rms}{\~}1$, and $(Ma)_{rms}{\gg}1$. The characteristics of each class are discussed.

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Effect of quartic nonlinearity on elastic waves via successive approximation

  • Hamza Hameed;F. D. Zaman
    • Advances in materials Research
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    • v.13 no.4
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    • pp.285-297
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    • 2024
  • The theory of nonlinear elastic wave propagation is important in multiple scientific and engineering fields. In this study, we present a comprehensive examination of nonlinear elastic wave profiles through a contemporary approach of successive approximation. This research is related to nonlinear elastic wave models along different types of nonlinearities. Murnaghan potential is used due to the assumption of the hyper-elastic materials. We explore the complication of the governing equations and go through the behaviors of nonlinear waves in one dimension. The comparative aspect of our study is a distinctive feature, as we evaluate and contrast the results obtained using successive approximation along different nonlinearities. Additionally, we present graphical representations of our findings, enhancing the visual comprehension of the wave profiles and their evolution. This study contributes to the nonlinear elastic wave analysis and comparison.

A Case Study on Guiding the Mathematically Gifted Students to Investigating on the 4-Dimensional Figures (수학 영재들을 4차원 도형에 대한 탐구로 안내하는 사례 연구)

  • Song, Sang-Hun
    • Journal of Gifted/Talented Education
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    • v.15 no.1
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    • pp.85-102
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    • 2005
  • Some properties on the mathematical hyper-dimensional figures by 'the principle of the permanence of equivalent forms' was investigated. It was supposed that there are 2 conjectures on the making n-dimensional figures : simplex (a pyramid type) and a hypercube(prism type). The figures which were made by the 2 conjectures all satisfied the sufficient condition to show the general Euler's Theorem(the Euler's Characteristics). Especially, the patterns on the numbers of the components of the simplex and hypercube are fitted to Binomial Theorem and Pascal's Triangle. It was also found that the prism type is a good shape to expand the Hasse's Diagram. 5 mathematically gifted high school students were mentored on the investigation of the hyper-dimensional figure by 'the principle of the permanence of equivalent forms'. Research products and ideas students have produced are shown and the 'guided re-invention method' used for mentoring are explained.

New Continuous Variable Space Optimization Methodology for the Inverse Kinematics of Binary Manipulators Consisting of Numerous Modules (수많은 모듈로 구성된 이진 매니플레이터 역기구 설계를 위한 연속변수공간 최적화 신기법 연구)

  • Jang Gang-Won;Nam Sang Jun;Kim Yoon Young
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.10
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    • pp.1574-1582
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    • 2004
  • Binary manipulators have recently received much attention due to hyper-redundancy, light weight, good controllability and high reliability. The precise positioning of the manipulator end-effecter requires the use of many modules, which results in a high-dimensional workspace. When the workspace dimension is large, existing inverse kinematics methods such as the Ebert-Uphoff algorithm may require impractically large memory size in determining the binary positions of all actuators. To overcome this limitation, we propose a new inverse kinematics algorithm: the inverse kinematics problem is formulated as an optimization problem using real-valued design variables, The key procedure in this approach is to transform the integer-variable optimization problem to a real-variable optimization problem and to push the real-valued design variables as closely as possible to the permissible binary values. Since the actual optimization is performed in real-valued design variables, the design sensitivity becomes readily available, and the optimization method becomes extremely efficient. Because the proposed formulation is quite general, other design considerations such as operation power minimization can be easily considered.

A Study of Cyberfeminism in fashion in the digital era (Part II) - Focused on aesthetic values - (디지털시대 패션에 나타난 사이버페미니즘 연구 (제2보) -미적가치를 중심으로-)

  • 김현수;양숙희
    • Journal of the Korean Society of Clothing and Textiles
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    • v.28 no.2
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    • pp.200-211
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    • 2004
  • The Purpose of this study was to review the effects of the cyberspace mentality on fashion as a visible symbol of feminity and to analyze terms of its aesthetic values. As for the research methodology, relevant theories across cultures and disciplines are reviewed and an experimental study is conducted to explore spiritual objectives in cyberspace. Then, major issues facing the digital society. symbolized in the computer networks, are reviewed in terms of feminine identity and physical beauty from a feminist's viewpoint. Lastly, the aesthetic values found in the spatial meditation of a new dimension (reality versus virtuality) is comparatively analyzed. The virual reality technology and bio-medical technology are combined to be represented in fashion to create a more realistic virtual world than the real one. Such a world may well be characterized by virtuality, artificiality, masquerade, and fantasy. The intrinsic values which are revealed as psychiatrical or psychological implicated values featuring virtual or artificial implications may well be characterized by distopia, hyper, hybridity and Sur Reality.

Performance Evaluation of Machine Learning and Deep Learning Algorithms in Crop Classification: Impact of Hyper-parameters and Training Sample Size (작물분류에서 기계학습 및 딥러닝 알고리즘의 분류 성능 평가: 하이퍼파라미터와 훈련자료 크기의 영향 분석)

  • Kim, Yeseul;Kwak, Geun-Ho;Lee, Kyung-Do;Na, Sang-Il;Park, Chan-Won;Park, No-Wook
    • Korean Journal of Remote Sensing
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    • v.34 no.5
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    • pp.811-827
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    • 2018
  • The purpose of this study is to compare machine learning algorithm and deep learning algorithm in crop classification using multi-temporal remote sensing data. For this, impacts of machine learning and deep learning algorithms on (a) hyper-parameter and (2) training sample size were compared and analyzed for Haenam-gun, Korea and Illinois State, USA. In the comparison experiment, support vector machine (SVM) was applied as machine learning algorithm and convolutional neural network (CNN) was applied as deep learning algorithm. In particular, 2D-CNN considering 2-dimensional spatial information and 3D-CNN with extended time dimension from 2D-CNN were applied as CNN. As a result of the experiment, it was found that the hyper-parameter values of CNN, considering various hyper-parameter, defined in the two study areas were similar compared with SVM. Based on this result, although it takes much time to optimize the model in CNN, it is considered that it is possible to apply transfer learning that can extend optimized CNN model to other regions. Then, in the experiment results with various training sample size, the impact of that on CNN was larger than SVM. In particular, this impact was exaggerated in Illinois State with heterogeneous spatial patterns. In addition, the lowest classification performance of 3D-CNN was presented in Illinois State, which is considered to be due to over-fitting as complexity of the model. That is, the classification performance was relatively degraded due to heterogeneous patterns and noise effect of input data, although the training accuracy of 3D-CNN model was high. This result simply that a proper classification algorithms should be selected considering spatial characteristics of study areas. Also, a large amount of training samples is necessary to guarantee higher classification performance in CNN, particularly in 3D-CNN.

Employee's Long Term Orientation's Effect on Change Oriented Organizational Citizenship Behavior with Emotional Regulation Mediating (대기업 구성원의 장기지향성이 감성활용과 변화 조직시민행동에 미치는 영향)

  • Kang, Yoonhee
    • The Journal of the Korea Contents Association
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    • v.19 no.10
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    • pp.315-324
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    • 2019
  • In this research, one of five Hofstede's cultural dimension, Long term orientation (LTO) was selected to examine its influence on individual's change oriented organizational citizenship behavior with emotional regulation mediating. East Asian countries and Korea especially received higher score on LTO cultural dimension, meaning it valued harmony, long term relations and saving for future. Also, in today's hyper competitive and evolving global climate, the ability to adapt quickly and also to be able to control one's emotion is highly valued individual competency. Previous research on Hofstede's cultural dimensions were conducted at mostly national or large group levels. However, in this study, Yoo's CVSCALE which allowed for individual level analysis on Hofstede's cultural dimensions were used to analyze multinational company's employees's long term orientations' influence on emotional regulation and change oriented organizational citizenship behavior. The survey conducted from 200 employees from major electronic company based in S city in Korea for two weeks period and the results indicated long term orientation positively influenced change oriented organizational citizenship behavior. Also emotional regulation mediated between long term orientation felt by individuals and change oriented organizational citizenship behavior. Such results validated previous studies that indicated emotional regulation as possible antecedents of individual proactive behaviors such as change organizational citizenship behavior and long term oriented view as another potential antecedent of change oriented organizational citizenship behavior in multinational corporation setting.

An Extension of Unified Bayesian Tikhonov Regularization Method and Application to Image Restoration (통합 베이즈 티코노프 정규화 방법의 확장과 영상복원에 대한 응용)

  • Yoo, Jae Hung
    • The Journal of the Korea institute of electronic communication sciences
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    • v.15 no.1
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    • pp.161-166
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    • 2020
  • This paper suggests an extension of the unified Bayesian Tikhonov regularization method. The unified method establishes the relationship between Tikhonov regularization parameter and Bayesian hyper-parameters, and presents a formula for obtaining the regularization parameter using the maximum posterior probability and the evidence framework. When the dimension of the data matrix is m by n (m >= n), we derive that the total misfit has the range of m ± n instead of m. Thus the search range is extended from one to 2n + 1 integer points. Golden section search rather than linear one is applied to reduce the time. A new benchmark for optimizing relative error and new model selection criteria to target it are suggested. The experimental results show the effectiveness of the proposed method in the image restoration problem.

Study on Restaurant Images through Korea-Japan Video Text - and (식당을 매개로 한 한일 영상텍스트 연구 - <윤식당>과 <카모메 식당>을 중심으로)

  • Chin, Eun-kyung;Ahn, Sang-Won
    • The Journal of the Korea Contents Association
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    • v.17 no.11
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    • pp.567-576
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    • 2017
  • Foods are cultural texts. Recipes, cultural peculiarities, and relationships between people. Foods can expand into narratives. This study will compare and analyze the characteristics of the Korean - Japanese visual texts, and . The aim of this study is to examine the between-space and gender, and to examine the universality and specificity of the text of Korean - Japanese image culture. If the movie reproduces the world of reality fictionally from the viewpoint of the between-space, it can be seen that the artistic has differentiation by realistically reproducing the fictional world, but universally creates the hyper reality. Second, in the dimension of gender, both images suggest universality in which the dissolution of sex role becomes paradoxical product. However, has differentiation from the fact that it presents the aspect of gender equality more specifically.

The Comparison of Sphere Fitting Methods for Estimating the Center of Rotation on a Human Joint (인체관절의 회전중심 추정을 위한 구적합법의 비교)

  • Kim, Jin-Uk
    • Korean Journal of Applied Biomechanics
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    • v.23 no.1
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    • pp.53-62
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    • 2013
  • The methods of fitting a circle to measured data, geometric fit and algebraic fit, have been studied profoundly in various areas of science. However, they have not been applied exactly to a biomechanics discipline for locating the center of rotation of a human joint. The purpose of this study was to generalize the methods to fitting spheres to the points in 3-dimension, and to estimate the center of rotation of a hip joint by three of geometric fit methods(Levenberg-Marquardt, Landau, and Sp$\ddot{a}$th) and four of algebraic fit methods(Delogne-K${\aa}$sa, Pratt, Taubin, and Hyper). 1000 times of simulation experiments for flexion/extension and ad/abduction at an artificial hip joint with four levels of range of motion(10, 15, 30, and $60^{\circ}$) and three levels of angular velocity(30, 60, and $90^{\circ}$/s) were executed to analyze the responses of the estimated center of rotation. The results showed that the Sp$\ddot{a}$th estimate was very sensitive to the marker near the center of rotation. The bias of Delogne-K${\aa}$sa estimate existed in an even larger range of motion. The Levenberg-Marquardt algorithm of geometric fit and the Pratt of algebraic fit showed the best results. The combination of two methods, using the Pratt's estimate as initial values of the Levenberg-Marquardt algorithm, could be a candidate of more valid estimator.