• Title/Summary/Keyword: one-parameter group

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ONE-PARAMETER GROUPS AND COSINE FAMILIES OF OPERATORS ON WHITE NOISE FUNCTIONS

  • Chung, Chang-Hoon;Chung, Dong-Myung;Ji, Un-Cig
    • Journal of the Korean Mathematical Society
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    • v.37 no.5
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    • pp.687-705
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    • 2000
  • The main purpose of this paper is to study differentiable one-parameter groups and cosine families of operators acting on white noise functions and their associated infinitesimal generators. In particular, we prove the heredity of differentiable one-parameter group and cosine family of operators under the second quantization of the Cuchy problems for the first and second or der differential equations.

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분포매개정수를 갖는 원자로의 최적제어 2

  • 지창열
    • 전기의세계
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    • v.29 no.4
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    • pp.256-259
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    • 1980
  • A singular pertubation theory is applied to obtain an approximate solution for suboptimal control of nuclear reactors with spatially distributed parameters. The inverse of the neutron velocity is regarded as a small perturbing parameter, and the model, adopted for simplicity, is a cylindrically symmetrical reactor whose dynamics are described by the one group diffusion equation with one delayed neutron group. The Helmholtz mode expansion is used for the application of the optimal theory for lumped parameter systems to the spatially distributed parameter systems. An asymptotic expansion of the feedback gain matrix is obtained with construction of the boundary layer correction up to the first order.

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ONE-PARAMETER GROUPS OF BOEHMIANS

  • Nemzer, Dennis
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.3
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    • pp.419-428
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    • 2007
  • The space of periodic Boehmians with $\Delta$-convergence is a complete topological algebra which is not locally convex. A family of Boehmians $\{T_\lambda\}$ such that $T_0$ is the identity and $T_{\lambda_1+\lambda_2}=T_\lambda_1*T_\lambda_2$ for all real numbers $\lambda_1$ and $\lambda_2$ is called a one-parameter group of Boehmians. We show that if $\{T_\lambda\}$ is strongly continuous at zero, then $\{T_\lambda\}$ has an exponential representation. We also obtain some results concerning the infinitesimal generator for $\{T_\lambda\}$.

Discriminant Analysis of Parameter for Cardiac Arrythmia Detection (심전도 부정맥 검출을 위한 변수의 분류 성능 평가)

  • 이윤선;이경중
    • Journal of Biomedical Engineering Research
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    • v.10 no.2
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    • pp.185-190
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    • 1989
  • In this paper, the discriminant analysis was performed on parameter for detection of cardiac arrythmia. The parameters used for discriminant analysis was two group. One group consist of 05 width and Heart rate, and the other Morphology and Heart Rate. For this study, we designed data acquisition system for EKG signals. The parameters pre-processed by this system was heart rate, 05 width and Morphology. And then, we analyzed the discriminancy of two group and extracted the quantity of discriminancy. The analysis results showed first that the group with morphology and heart rate is better discriminant than with 05 width and heart rate : next, that it can quantify the discriminany of each group of diseases.

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A NOTE ON THE COMPLEXIFICATION OF CONFORMAL GROUP II*

  • Lee, Ke-Seung
    • Journal of the Chungcheong Mathematical Society
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    • v.8 no.1
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    • pp.137-145
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    • 1995
  • In the white noise analysis the one-parameter groups play the powerful role. In this report, we will see a subgroup of infinite dimensional unitary group $U_{\infty}$ including guage transform and structure of this subgroup under the view point of Lie algebra.

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A Cepstral Analysis of Breathy Voice with Vocal Fold Paralysis (성대마비로 인한 기식 음성에 대한 Cepstral 분석)

  • Kang, Young-Ae;Seong, Cheol-Jae
    • Phonetics and Speech Sciences
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    • v.4 no.2
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    • pp.89-94
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    • 2012
  • The aim of this study is to investigate the usefulness of the parameter CPP (cepstral peak prominence) and LTAS (long term average spectrum) band energy for an analysis of breathy voice with vocal fold paralysis. Thirty-four female subjects who have vocal paralysis after thyroidectomy participated in this study. According to the perceptual judgements by three speech pathologists and one phonetic scholar, subjects were divided into two groups: breathy voice group (n = 21) and non-breathy voice group (n = 13). Maximum sustained phonation task was measured for acoustic analysis. CPP-related (i.e. mean F0, mean CPP, and mean CPPs) and LTAS-related (i.e. minimum, maximum, and mean) parameters were used. Independent samples t-test was conducted. Regarding CPP, there are significant differences in mean CPP and mean CPPs between groups. The values of mean CPP and CPPs in the non-breathy voice group are higher than those in the breathy voice group. The CPP could be regarded as the useful parameter for breathy voice analysis in the clinic. When it comes to LTAS, energy from 0 to 2 kHz are significantly different between groups. The minimum value of non-breathy group is lower than that of breathy group, whereas the maximum value of non-breathy group is higher. The frequency band below 2 kHz seems to be related to breathy voice.

Noninformative Priors for the Common Shape Parameter in the Gamma Distributions

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.1
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    • pp.247-257
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    • 2007
  • In this paper, we develop the noninformative priors for the common shape parameter in the gamma distributions. We develop the matching priors and reveal that the second order matching prior does not exist. It turns out that the one-at-a-time reference prior and the two group reference prior satisfy a first order probability matching criterion. Some simulation study is peformed.

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Elastic wave phenomenon of nanobeams including thickness stretching effect

  • Eyvazian, Arameh;Zhang, Chunwei;Musharavati, Farayi;Khan, Afrasyab;Mohamed, Abdeliazim Mustafa
    • Advances in nano research
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    • v.10 no.3
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    • pp.271-280
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    • 2021
  • The present work deals with an investigation on longitudinal wave propagation in nanobeams made of graphene sheets, for the first time. The nanobeam is modelled via a higher-order shear deformation theory accounts for both higher-order and thickness stretching terms. The general nonlocal strain gradient theory including nonlocality and strain gradient characteristics of size-dependency in order is used to examine the small-scale effects. This model has three-small scale coefficients in which two of them are for nonlocality and one of them applied for gradient effects. Hamilton supposition is applied to obtain the governing motion equation which is solved using a harmonic solution procedure. It is indicated that the longitudinal wave characteristics of the nanobeams are significantly influenced by the nonlocal parameters and strain gradient parameter. It is shown that higher nonlocal parameter is more efficient than lower nonlocal parameter to change longitudinal phase velocities, while the strain gradient parameter is the determining factor for their efficiency on the results.

A Study on the Pulse Wave Parameter in Non Delivery and Delivery Women (미출산 여성과 출산 여성의 맥파 비교 - 난임 맥파 지표 연구를 위한 -)

  • Seo, Chang-Woon;Kim, Gyeong-Cheol;Kim, Yi-Soon
    • Korean Journal of Acupuncture
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    • v.29 no.2
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    • pp.200-215
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    • 2012
  • Objectives : The purpose of this study is to investigate the differences of pulse wave parameter between the non delivery group (single women with no childbirth experience) and the delivery group (married women who gave birth(s) in delivery). Methods : Sixty one healthy (non delivery) nulliparous women and fifty three delivery women participated in this study. We used 3 dimensional pulse analyser(3D MAC, DAEYOMEDI co., Korea), which measures radial pulse waveform non-invasively by way of tonometry method at 5 different applied pressure levels. From 114 subjects enrolled, pulse wave parameters were measured on the six locations of Chon, Kwan and Cheok of each hands. Results : Delivery group's pulse showed larger values in the following pulse wave parameters (Energy, Ap, RAI, As, Aw, h1, h2, h4, h4/h1, t, t1, t2, t4, Wm, Wm/t). Non delivery group's pulse indicated larger values in the pulse wave parameters such as Energy of left Chon, difference pulse energy between left and right hand, Ad, h5, h5/h1, t5. Conclusions : According to the analysis result, delivery group's pulse has bigger values in most part of pulse wave parameters, especially in Kwan and Cheok which correspond to Liver, Kidney, and Myeong-mun. We interpret these results that delivery women are more mature and stable in reproductive organs than non delivery group, as they have experienced delivery(deliveries) and child-caring through married life.

Characteristic analysis of inductive power transfer system by parameter variation (파라미터 변화에 따른 유도급전 시스템 특성해석)

  • Lee, Byung-Song;Bae, Chang-Han;Han, Kyung-Hee
    • Proceedings of the KIEE Conference
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    • 2004.10a
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    • pp.215-217
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    • 2004
  • This paper shows the analysis of the inductive power transfer system in conjunction with series resonant converter operating variable high frequency. Of particular interest is the sensitivity of the complete system to variations in operational frequency and parameters. In inductive power transfer system, electrical power is transferred from a primary winding in the form of a coil or track, to one or more isolated pick-up coils that may relative to the primary. The ability to transmit power without contact enables high reliability and easy maintenance that allows inductive power transfer system to be implemented in hostile environments. This technology has found application in many fields such as electric vehicles, PRT(Personal Rapid Transit) etc. The coupling between the primary and secondary is then presented to include the effects of parameter and operational frequency variation.

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