• 한국수학교육학회지시리즈B:순수및응용수학
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• 제5권1호
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• pp.55-63
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• 1998

A Gauss map of m-dimensional distribution on a Riemannian manifold M is called a harmonic Gauss map if it is a harmonic map from the manifold into its Grassmann bundle $G_m$(TM) of m-dimensional tangent subspace. We calculate the tension field of the Gauss map of m-dimensional distribution and especially show that the Hopf fibrations on $S^{4n＋3}$ are the harmonic Gauss map of 3-dimensional distribution.

• Journal of Computational Design and Engineering
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• 제1권1호
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• pp.48-54
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• 2014

In this paper, the authors propose a system for assisting mold designers of plastic parts. With a CAD model of a part, the system automatically determines the optimal ejecting direction of the part with minimum undercuts. Since plastic parts are generally very thin, many rib features are placed on the inner side of the part to give sufficient structural strength. Our system extracts the rib features from the CAD model of the part, and determines the possible ejecting directions based on the geometric properties of the features. The system then selects the optimal direction with minimum undercuts. Possible ejecting directions are represented as discrete points on a Gauss map. Our new point distribution method for the Gauss map is based on the concept of the architectural geodesic dome. A hierarchical structure is also introduced in the point distribution, with a higher level "rough" Gauss map with rather sparse point distribution and another lower level "fine" Gauss map with much denser point distribution. A system is implemented and computational experiments are performed. Our system requires less than 10 seconds to determine the optimal ejecting direction of a CAD model with more than 1 million polygons.

• Communications for Statistical Applications and Methods
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• 제9권1호
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• pp.1-11
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• 2002

This paper discusses problems of the Poisson Mixture model which Is widely used to decide the effective words in judging relevant document. Gamma Distribution model and Gauss Patterns model as an alternative of the Poisson Mixture model are studied. Classification experiments by using TREC sub-collection, WSJ[1,2] with MGQUERY and AidSearch3.0 system are discussed.

• 한국수학사학회지
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• 제12권1호
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• pp.1-12
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• 1999

The first part of this thesis discusses the types and the properties of errors, one of which makes up systematic errors of measurements, removable by detecting their causes, the other errors of accidental causes which can not be removed. The final part of this thesis deals with the historical background of the Gaussian distribution by Hershel, Hagen, Laplace and Gauss from the late 18th century to the early 19th century. It can be concluded that the accidental idea and the treatment of accidental error distribution by Gauss Is the best one based on the assumption that the most probable value of true value is the arithmetic mean of data, obtained by repeated measurements of a given quantity.

• Journal of the Korean Statistical Society
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• 제24권2호
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• pp.303-312
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• 1995

We consider the following type of general semi-parametric non-linear regression model : $y_i = f_i(\theta) + \epsilon_i, i=1, \cdots, n$ where ${f_i(\cdot)}$ represents the set of non-linear functions of the unknown parameter vector $\theta' = (\theta_1, \cdots, \theta_p)$ and ${\epsilon_i}$ represents the set of measurement errors with unknown distribution. Under suitable finite-sample, small-dispersion asymptotic framework, we derive a general lower bound for the asymptotic mean squared error (AMSE) matrix of the Gauss-consistent estimator of $\theta$. We then prove the fundamental result that the general non-linear least squares estimator (NLSE) is an optimal estimator within the class of all regular Gauss-consistent estimators irrespective of the type of the distribution of the measurement errors.

• 대한전자공학회논문지
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• 제26권3호
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• pp.8-13
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• 1989

부가성 가우시안 잡음 상황하에서, 미지의 확률 분포를 갖는 양극성 2진 불규칙 수형파 신호의 중요한 파라미터인, 진폭과 위상을 Gauss-Markov 추정기를 사용하여 동시에 추정하므로써 전송된 디지탈 데이타를 복원하였다. 그러나, Gauss-Markov 추정기가 이용되기 위해서는 승산기와 적분기로 구성된 상관기를 사용하여, 수신 신호를 표본화 급수로 변환하고 관측된 데이타 벡타를 얻기 위한 사전 처리단계가 필요하게 됨을 알게 되었다.

• 한국광학회지
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• 제8권2호
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• pp.95-98
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• 1997

Gauss 초기함수 $e^{-\sigma}$$^{2}$$x^{2}$/에 $e^{-q{\omega}}$$_{0}$ vertical bar x vertical bar를 곱하여 선폭을 더욱 예리하게 하여 역문제(Inverse Problem)로 동함수를 구하고 다시 유한구경에서 결상하는 광파의 회절강도 분포를 구하였다. 이 광학계의 OTF를 구하고 이 값을 변조하지 않은 Gauss 동함수의 (OTF)$_{1.0}$ 의 값과 비교한 결과 변조된 Gauss 동함수의 OTF가 (OTF)$_{1.0}$ 보다 같거나 작음을 보였다. 회절 역문제취급에서 Gauss함수의 선폭을 무조건 예리하게 한다하여 OTF가 향상되지 않는다는 사실을 증명하였다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제6권2호
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• pp.1-8
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• 2002

Let $T_{\phi}$ be a generalized Gauss transformation and $[a_1,\;a_2,\;{\cdots}]_{T_{\phi}}$ be a symbolic representation of $x{\in}[0,\;1)$ induced by $T_{\phi}$, i.e., generalized continued fraction expansion induced by $T_{\phi}$. It is shown that the distribution of relative frequency of [$k_1,\;{\cdots},\;k_n$] in $[a_1,\;a_2,\;{\cdots}]_{T_p}$ satisfies Central Limit Theorem where $k_i{\in}{\mathbb{N}}$ for $1{\leq}i{\leq}n$.

• 대한전기학회논문지:전기기기및에너지변환시스템부문B
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• 제49권11호
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• pp.729-736
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• 2000

This paper deals with the characteristic analysis of magnetizer for convergence purity magnet by the finite element method. The analysis utilizes combined method of the time-stepped finite element analysis and the Preisach model with hysteresis phenomena. In the finite element analysis, the non-linearity and the eddy current of the magnetizing fixure and permanent-magnet are taken account. The magnetization distribution in the permanent magnet is determined by using Preisach model which are composed of Everett function table and the first order transition curves is obtained by the Vibrating Sample Magnetometer. The calculated flux density values on the surface of the permanent magnet are led to the approximated gauss density values measured by the gauss meter. As a result, winding current, copper loss, eddy current loss of the magnetizing yoke, flux plot, surface gauss plot, temperature rise of the coil and resistor variation, vector diagram of magnetization distribution are shown.

• 전기전자학회논문지
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• 제19권2호
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• pp.219-224
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• 2015

전기 임피던스 단층촬영 기법은 전극들을 통해 전류를 주입하고 이에 유기되는 전압을 측정한 후, 이들 데이터를 기반으로 내부의 도전율 분포를 영상으로 복원하는 방법이다. 이 논문에서는 기존의 Gauss-Newton 방법의 역행렬 항목의 차원을 도메인의 원소의 개수가 아닌 데이터의 개수의 차원으로 바꿔줌으로써, 관심 도메인 내부의 도전율 분포를 보다 빠르게 추정할 수 있는 방법을 제안하였다. 그리고 자코비안 행렬의 대각성분의 최소-최대를 이용하여 조정인자를 계산하는 방법을 함께 제안하였다. 몇 가지 시나리오를 설정하고 모의실험을 통해 제안한 방법의 복원 성능을 비교분석하였다.