• Title/Summary/Keyword: n-th order

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Detecting the Baryon Acoustic Oscillations in the N-point Spatial Statistics of SDSS Galaxies

  • Hwang, Se Yeon;Kim, Sumi;Sabiu, Cristiano G.;Park, In Kyu
    • The Bulletin of The Korean Astronomical Society
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    • v.46 no.2
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    • pp.72.3-73
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    • 2021
  • Baryon Acoustic Oscillations (BAO) are caused by acoustic density waves in the early universe and act as a standard ruler in the clustering pattern of galaxies in the late Universe. Measuring the BAO feature in the 2-point correlation function of a sample of galaxies allows us to estimate cosmological distances to the galaxies mean redshift, , which is important for testing and constraining the cosmology model. The BAO feature is also expected to appear in the higher order statistics. In this work we measure the generalized spatial N-point point correlation functions up to 4th order. We made measurements of the 2, 3, and 4-point correlation functions in the SDSS-III DR12 CMASS data, comprising of 777,202 galaxies. The errors and covariances matrices were estimated from 500 mock catalogues. We created a theoretical model for these statistics by measuring the N-point functions in halo catalogues produced by the approximate Lagrangian perturbation theory based simulation code, PINOCCHIO. We created simulations using initial conditions with and without the BAO feature. We find that the BAO is detected to high significance up to the 4-point correlation function.

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COMPLEMENTARY VHF CMOS ACTIVE INDUCTOR

  • Thanachayanont, A.;Ngow, S.Sae
    • Proceedings of the IEEK Conference
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    • 2002.07a
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    • pp.345-348
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    • 2002
  • A complementary VHF CMOS active inductor is described. The proposed circuit employs 'p-type' and 'n-type' active inductor to obtain enlarged signal handling ability. Under the same inductance, Q value, and power consumption, the proposed circuit shows more than 12-㏈ improvement in dynamic range while maintaining high-frequency operation. Further enhancement is obtained by using a fully differential floating inductor structure. A 1-㎓ 4$\^$th/-order coupled-resonator filter is designed to demonstrate the potential of the proposed active inductor.

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Bayesian Prediction Inferences for the Burr Model Under the Random Censoring (랜덤중단(中斷)된 Burr모형(模型)에서 베이지안 예측추론(豫測推論))

  • Sohn, Joong-K.;Ko, Jeong-Hwan
    • Journal of the Korean Data and Information Science Society
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    • v.4
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    • pp.109-120
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    • 1993
  • Using a noninformative prior and a gamma prior, the Bayesian predictive density and the prediction intervals for a future observation or the p-th order statistic of n' future observations from the Burr distribution have been obtained. In additions, we examine the sensitivities of the results to the choice of model.

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Bayesian Prediction Analysis for the Exponential Model Under the Censored Sample with Incomplete Information

  • Kim, Yeung-Hoon;Ko, Jeong-Hwan
    • Journal of the Korean Data and Information Science Society
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    • v.13 no.1
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    • pp.139-145
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    • 2002
  • This paper deals with the problem of obtaining the Bayesian predictive density function and the prediction intervals for a future observation and the p-th order statistics of n future observations for the exponential model under the censored sampling with incomplete information.

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유연한 조작기의 디지털 제어

  • 배건효;이재원;주해호
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1993.04b
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    • pp.185-191
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    • 1993
  • A flexible nanipulator can move in the high speed even with the small driving torque. The dynamic equations of flexible manipulator whichinclude 2 vibrationalmodes are derived using the clamped-free boundarycondition. Simulation results of the 6th order modelare well matched with experimental results. The hub angle of the flexible manipulator can be controlled without vibration of beam by the feedback of both hub angle and strain. The overshoot of the hub angle in the step resonse is reduced without sacrificing the rise time using the cycloidal function instead of the step function as the reference input.

Camera Position Estimation in Castor Using Electroendoscopic Image Sequence (전자내시경 순차영상을 이용한 위에서의 카메라 위치 추정)

  • 이상경;민병구
    • Journal of Biomedical Engineering Research
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    • v.12 no.1
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    • pp.49-56
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    • 1991
  • In this paper, a method for camera position estimation in gasher using elechoendoscopic image sequence is proposed. In orders to obtain proper image sequences, the gasser in divided into three sections. It Is presented thats camera position modeling for 3D information extvac lion and image distortion due to the endoscopic lenses is corrected. The feature points are represented with respect to the reference coordinate system below 10 percents error rate. The faster distortion correction algorithm is proposed in this paper. This algorithm uses error table which is faster than coordinate transform method using n -th order polynomials.

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ON ZEROS OF THE BOUBAKER POLYNOMIALS

  • Kim, Seon-Hong
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.2
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    • pp.547-553
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    • 2014
  • The Boubaker polynomials arose from the discretization of the equations of heat transfer in pyrolysis starting from an assumed solution of the form $$\frac{1}{N}e^{\frac{A}{H/z+1}}\sum_{k=0}^{\infty}{\xi}_kJ_k(t),$$ where $J_k$ is the k-th order Bessel function of the first kind. In this paper, we investigate the distribution of zeros of the Boubaker polynomials.

Spectral Analysis of Four Term Differential Operator

  • Oluoch, Nyamwala Fredrick
    • Kyungpook Mathematical Journal
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    • v.50 no.1
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    • pp.15-35
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    • 2010
  • By strengthening dichotomy condition and weakening decay conditions, we show that a four term 2n-th order differential operator with unbounded coefficients is nonlimit-point. Using stringent conditions we show that the deficiency index of this operator is determined by the behaviour of the coefficients themselves. Similarly, we prove the absence of singular continuous spectrum and that the absolutely continuous spectrum has multiplicity two.

A Study on the Classification of the Korean Consonants in the VCV Speech Chain (VCV 연쇄음성상에 존재하는 한국어 자음의 분류에 관한 연구)

  • 최윤석;김기석;김원준;황희영
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.6
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    • pp.607-615
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    • 1990
  • In this paper, I propose the experimental models to classify the consonants in the Vowel-Consonant-Vowel (VCV) speech chain into four phonemic groups such as nasals, liquids, plosives and the others. To classify the fuzzy patterns like speech, it is necessary to analyze the distribution of acoustic feature of many training data. The classification rules are maximum 4 th order polynomial functions obtained by regression analysis, contributing collectively the result. The final result shows about 87% success rates with the data spoken by one man.

Moments of a Class of Internally Truncated Normal Distributions

  • Kim, Hea-Jung
    • Communications for Statistical Applications and Methods
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    • v.14 no.3
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    • pp.679-686
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    • 2007
  • Moment expressions are derived for the internally truncated normal distributions commonly applied to screening and constrained problems. They are obtained from using a recursive relation between the moments of the normal distribution whose distribution is truncated in its internal part. Closed form formulae for the moments can be presented up to $N^{th}$ order under the internally truncated case. Necessary theories and two applications are provided.