• Title/Summary/Keyword: invariance

Search Result 357, Processing Time 0.021 seconds

TOPOLOGICAL ENTROPY OF EXPANSIVE FLOW ON TVS-CONE METRIC SPACES

  • Lee, Kyung Bok
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.34 no.3
    • /
    • pp.259-269
    • /
    • 2021
  • We shall study the following. Let 𝜙 be an expansive flow on a compact TVS-cone metric space (X, d). First, we give some equivalent ways of defining expansiveness. Second, we show that expansiveness is conjugate invariance. Finally, we prove that lim sup ${\frac{1}{t}}$ log v(t) ≤ h(𝜙), where v(t) denotes the number of closed orbits of 𝜙 with a period 𝜏 ∈ [0, t] and h(𝜙) denotes the topological entropy. Remark that in 1972, R. Bowen and P. Walters had proved this three statements for an expansive flow on a compact metric space [?].

INVARIANCE OF KNEADING MATRIX UNDER CONJUGACY

  • Gopalakrishna, Chaitanya;Veerapazham, Murugan
    • Journal of the Korean Mathematical Society
    • /
    • v.58 no.2
    • /
    • pp.265-281
    • /
    • 2021
  • In the kneading theory developed by Milnor and Thurston, it is proved that the kneading matrix and the kneading determinant associated with a continuous piecewise monotone map are invariant under orientation-preserving conjugacy. This paper considers the problem for orientation-reversing conjugacy and proves that the former is not an invariant while the latter is. It also presents applications of the result towards the computational complexity of kneading matrices and the classification of maps up to topological conjugacy.

Symmetric D-Optimal Designs for Log Contrast Models with Mixtures

  • Lim, Yong B.
    • Journal of the Korean Statistical Society
    • /
    • v.16 no.2
    • /
    • pp.71-79
    • /
    • 1987
  • The linear and quadratic log contrast model with mixtures on the strictly positive simplex, $$ x_{q-1} = {(x_1, \cdots, x_q):\sum x_, = 1 and \delta \leq \frac{x_i}{x_j} \leq \frac{1}{\delta} for all i,j},$$ are considered. Using the invariance arguments, symmetric D-optimal designs are investigated. The class of symmetric D-optimal designs for the linear log contrasts model is given. Any D-optimal design for the quadratic log contrast model is shown to metric D-optimal designs for q=3 and 4 cases are given.

  • PDF

A Study on Signal Processing of Ballistic Missile Warhead Discrimination Using ESPRIT in Millimeter-Wave(Ka-Band) Seeker (밀리미터파 탐색기에서 ESPRIT 기법을 이용한 탄도 미사일 탄두 식별 신호처리 기법 개발)

  • Choi, Gak-Gyu;Han, Seung-Ku;Jo, Hee-Jin;Kim, Hyo-Tae;Kim, Kyung-Tae;Song, Sung-Chan;Na, Young-Jin
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.23 no.2
    • /
    • pp.266-269
    • /
    • 2012
  • This paper introduces a signal processing technique for discrimination of ballistic missile's warhead. An interceptor missile to destroy the enemy's ballistic missile requires an information on the location of missile's warhead. In order to detect and locate the missile's warhead, a seeker radar in the interceptor missile makes use of chirp waveform to generate high resolution range profiles(HRRPs). We applied one of the well known spectral estimation technique called ESPRIT (Estimation of Signal Parameters by Rotational Invariance Technique) to these HRRPs to estimate scattering centers on the target. Using the information on the one-dimensional(1-D) scattering centers, we can find the location of the warhead by estimating the length of the missile, Simulation results show that the proposed signal processing technique is efficient in discriminating the warhead of an ballistic missile.

Testing Measurement Invariance of the School Vitality Scale Across The Level of School (학교활력 진단도구의 학교급 간 측정동일성 검정)

  • Lee, Jae-Duck
    • The Journal of the Korea Contents Association
    • /
    • v.20 no.3
    • /
    • pp.41-48
    • /
    • 2020
  • The purpose of this study is testing measurement invariance of the school vitality scale across the level of school. For this study, 3,156 elementary school teachers and 4,411 secondary school teachers were surveyed. As a result, school vitality scale was found to have the same factor structure in the structure regression model. Second, the factor load of the measurement model was found to be the same. Third, the structural path coefficients were the same. Fourth, structural covariance was found to be the same. Fifth, the structural residuals were the same. Based on these findings, it can be concluded that we can use school vitality scale both elementary school and secondary school. This study will contribute to diagnosing school vitality levels and finding ways to improve school management.

The Velocity Conversion Coefficient and Consistency for the Optimal Phase Ratio on the Performance of the Women's Triple Jump (여자 세단뛰기 운동수행의 일관성과 속도전환계수에 의한 최적의 국면비)

  • Ryu, Jae-Kyun;Chang, Jae-Kwan
    • Korean Journal of Applied Biomechanics
    • /
    • v.25 no.1
    • /
    • pp.39-47
    • /
    • 2015
  • Objective : The purpose of this study was to investigate the velocity conversion coefficient and invariance for the optimal phase ratio on the performance of the women's triple jump. Methods : Three-dimensional kinematic data were obtained from the three finalists of the women's triple jumper competition at the 2011 Daegu IAAF World Championships. Computer simulations were performed using the biomechanical model of the triple jump to optimize the phase ratio for the longest actual distance for all athletes with altered velocity conversion coefficients. Results : Top elite triple jumpers showed better technical consistency at the phase ratio. Also, no consistent relationship was observed between the loss in horizontal velocity and the gain in vertical velocity across supporting the three phase. In addition, regardless of the magnitude A1, all athletes were optimized with jump-dominated technique. Finally, as the magnitude of A1 increased, the athletes showed better performance. The obtained overall distance jumped showed the longest actual distance when the optimal phase ratio was transferred from hop-dominated to jump-dominated(the step ratio was 30%~31%), and when the optimal phase ratio was transferred from balanced to jump-dominated(the step ratio was 27%~29%). Conclusion : Future studies need to be conducted in order to explore the active landing motion and the inclination angle of the body with the velocity conversion coefficient simultaneously at each supporting phase.

Mutual Coupling Compensation for an Antenna Array and Direction Of Arrival Estimation Using ESPRIT (ESPRIT 알고리듬을 이용한 안테나 배열의 상호결합 보상과 도래각 추정)

  • Hong, Jeong-Geun;Ahn, Woo-Hyun;Seo, Bo-Seok
    • Journal of Satellite, Information and Communications
    • /
    • v.8 no.4
    • /
    • pp.37-42
    • /
    • 2013
  • In this paper, we propose a compensation method of a non-ideal antenna array and a computationally efficient estimation method of the direction of arrival (DOA) for the antenna array. For DOA estimation, an antenna array is essential. By using the phase difference between the output signals of antennas, we can derive the DOA. In practice, however, mutual coupling between the elements of an antenna array change the beam pattern of each element and degrade the performance of DOA estimation. In the proposed method, we first estimate the DOA for the mid-subarray of the array, where all elements undergo relatively same coupling effect. We use the estimation of signal parameters via rotational invariance techniques (ESPRIT) algorithm to estimate the DOA. Then, we expand the array based on the estimated DOA by compensating the coupling effect. Simulation results show that the proposed method is effective when jamming to noise power ratio (JNR)is relative low.

Imaging of Seismic Sources Using Time Reversal Wave Propagation (지진파 역행 전파를 이용한 지진원 영상화)

  • Sheen, Dong-Hoon;Baag, Chang-Eob;Hwang, Eui-Hong;Ryoo, Yong Gyu;Youn, Yong-Hoon
    • 한국지구물리탐사학회:학술대회논문집
    • /
    • 2006.06a
    • /
    • pp.181-186
    • /
    • 2006
  • An imaging method of seismic sources using time-reversal wave propagation is presented. The method is based on the time-reversal invariance and the spatial reciprocity of the wave equation. Time-reversal wave propagation has been used to image anomalous features of a midium in medical imaging, non destructive testing and waveform tomography. Seismogram is the record whose energy is propagated from the seismic source. If time-reversed seismogram propagates back into the medium, seismic energy is concentrated at the origin time of the event and at the source location. In this work, a staggered-grid finite-difference method of the elastic wave equation is parallelized for 3-D wave propagation simulation. With numerical experiments, we show that the time-reversal imaging will enable us to explore the spatio-temporal history of complex earthquake.

  • PDF

The Effect of Features and Motivators of Mobile Phone on Repurchasing Intention: Focusing on Difference Between Korea and Indonesia (휴대폰의 재구매 동기에 관한 국가간 비교 연구 : 한국과 인도네시아를 중심으로)

  • Lee, Jong-Oh;Whang, Jae-Hoon
    • Journal of Information Technology Applications and Management
    • /
    • v.14 no.4
    • /
    • pp.159-174
    • /
    • 2007
  • The purpose of this research is to investigate the relationships among the perceived satisfaction, the perceived the trust, the commitment, the key features for mobile phone, the brand image, the switching cost and the repurchasing intention. We also examine the differences between Korean and Indonesian markets concerning the relationships of these key successfactors. The structural model is tested with the data form each of the sub-samples (i. e. Korean and Indonesian users taken separately). Properties of the casual paths, including standardized path coefficients, the significance of difference, and variance explained for trust, satisfaction, commitment and repurchasing in the hypothesized model, are presented. This study indicated that hardware (sound quality, LCD display, design) user interface (GUI, Menu, Key pad) and extra functions (camera phone, wireless internet, MP3 player) are the three important factors effecting the trust and the satisfaction. The proposed model has been newly tested from the technological prospective in order to get the more practical result. Following the model test, we conduct a test of the differences in path coefficients between Korean and Indonesian users. MSEM show that, compared to Korean market, Indonesian had more emphasized on extra-function for the mobile phone as well as giving more influence to the satisfaction from the brand image. It means Korean market consider the extra-function as basic or no-premium points. And the satisfaction has been effected by switching-cost in Korea but the trust in Indonesia. Other interesting result from the structural weight invariance indicate that, compared to Korean market, the brand-image has effected the satisfaction in addition to placing more the trust on determining the commitment in Indonesia.

  • PDF

A Multi-Group Analysis of Risk Management Practices of Public and Private Commercial Banks

  • REHMAN, Khurram;KHAN, Hadi Hassan;SARWAR, Bilal;MUHAMMAD, Noor;AHMED, Wahab;REHMAN, Zia Ur
    • The Journal of Asian Finance, Economics and Business
    • /
    • v.7 no.11
    • /
    • pp.893-904
    • /
    • 2020
  • The study examines the relationship between credit risk and operational risk (understanding of risk management, risk identification, risk assessment and control, and risk monitoring) on risk management practices followed by private and public sector commercial banks. The cross-sectional data method was used to check the impact of risk management practices. Data was collected from the bank employees and a total of 284 respondents were finally selected for further analysis. Measurement Invariance of Composite Models analysis is used to test the quality of the measurement model for sub-samples, and multi-group analysis is used for path analysis in sub-sample through PLS-SEM. The findings of the study as the total sample show that both types of banks are managing adequate and significant risk management practices. On the other hand, sub-groups' results show private sector banks are more momentous than public sector banks. Risk identification is significantly different at the sub-group level, which shows public sector banks are more concentrating on this type of risk. Understanding of risk management has no significant effect on both types of banks and risk assessment & control for public sector banks, and there is a difference in the risk management practices among private and public sector commercial banks.