• 제목/요약/키워드: Geometric asymmetric

검색결과 57건 처리시간 0.026초

ON THE WEAK LIMIT THEOREMS FOR GEOMETRIC SUMMATIONS OF INDEPENDENT RANDOM VARIABLES TOGETHER WITH CONVERGENCE RATES TO ASYMMETRIC LAPLACE DISTRIBUTIONS

  • Hung, Tran Loc
    • 대한수학회보
    • /
    • 제58권6호
    • /
    • pp.1419-1443
    • /
    • 2021
  • The asymmetric Laplace distribution arises as a limiting distribution of geometric summations of independent and identically distributed random variables with finite second moments. The main purpose of this paper is to study the weak limit theorems for geometric summations of independent (not necessarily identically distributed) random variables together with convergence rates to asymmetric Laplace distributions. Using Trotter-operator method, the orders of approximations of the distributions of geometric summations by the asymmetric Laplace distributions are established in term of the "large-𝒪" and "small-o" approximation estimates. The obtained results are extensions of some known ones.

On geometric ergodicity and ${\beta}$-mixing property of asymmetric power transformed threshold GARCH(1,1) process

  • Lee, Oe-Sook
    • Journal of the Korean Data and Information Science Society
    • /
    • 제22권2호
    • /
    • pp.353-360
    • /
    • 2011
  • We consider an asymmetric power transformed threshold GARCH(1.1) process and find sufficient conditions for the existence of a strictly stationary solution, geometric ergodicity and ${\beta}$-mixing property. Moments conditions are given. Box-Cox transformed threshold GARCH(1.1) is also considered as a special case.

Geometric ergodicity for the augmented asymmetric power GARCH model

  • Park, S.;Kang, S.;Kim, S.;Lee, O.
    • Journal of the Korean Data and Information Science Society
    • /
    • 제22권6호
    • /
    • pp.1233-1240
    • /
    • 2011
  • An augmented asymmetric power GARCH(p, q) process is considered and conditions for stationarity, geometric ergodicity and ${\beta}$-mixing property with exponential decay rate are obtained.

Asymmetric Modeling in Beta-ARCH Processes

  • S. Y. Hwang;Kahng, Myung-Wook
    • Journal of the Korean Statistical Society
    • /
    • 제31권4호
    • /
    • pp.459-468
    • /
    • 2002
  • A class of asymmetric beta-ARCH processes is proposed and connections to traditional ARCH models are explained. Geometric ergodicity of the model is discussed. Conditional least squares as well as maximum likelihood estimators of parameters and their limit results are also presented. A test for symmetry of the model is studied with limiting power of test statistic given.

비대칭(非對稱) 단면(斷面) 보강재(補剛材)의 강도해석(强度解析) (On the Strength Analysis of the Stiffener with Asymmetric Cross Section)

  • 임상전;양영순;이규성
    • 대한조선학회지
    • /
    • 제17권1호
    • /
    • pp.11-18
    • /
    • 1980
  • In the conventional ship's structures, the stiffeners with asymmetric sections have been widely used, in spite of the disadvantage on the point of strength, compared to those with symmetric sections. So far, the stiffened plating was usually analyzed not considering the geometric unsymmetry characteristics of the section, including only the cross sectional area and moment of inertia. In this paper, the stiffened plating is devided into the strips having a thin-walled open cross section by using the concept of the effective width. The geometric characteristics of the sections are also included. The governing equations are derived, which can be applied to the arbitrary cross section beams, and the symmetric and the asymmetric section beams which have the same cross sectional areas are analyzed by using the finite element method. From that result, we obtain the allowable load of the two sections, and compared them.

  • PDF

아음속 유동하의 고 받음각 물체 주위의 비대칭 와류 특성 연구 (Asymmetric Vortices around a Body at High Angle of Attack Subsonic Flow)

  • 박미영;김완섭;이재우;박수형
    • 한국전산유체공학회:학술대회논문집
    • /
    • 한국전산유체공학회 2008년도 춘계학술대회논문집
    • /
    • pp.33-38
    • /
    • 2008
  • Numerical investigation of asymmetric vortices at high angles of attack subsonic flow is performed using three-dimensional Navier-Stokes equations. A small bump has been carefully selected and attached near the nose of an ogive cylinder to simulate symmetric vortices. Selected bump shape does develop asymmetric vortices and is verified using Lamont's experimental results. By changing the angle of attack, Reynolds numbers, and Mach numbers, the characteristics of asymmetric vortices are observed. The angle of attack which contributes significantly to the generation of asymmetric vortices are over 30 degrees. By increasing Mach number and Reynolds number asymmetric vortices, hence the side forces show decreasing trend..

  • PDF

Bimodal 방법을 이용한 하전입자 응집 모델링 (Development of Simple Bimodal Model for Charged Particle Coagulation)

  • 김상복;송동근;홍원석;신완호
    • 한국입자에어로졸학회지
    • /
    • 제10권1호
    • /
    • pp.27-31
    • /
    • 2014
  • A simple bimodal model has been developed to analyze charged particle coagulation by modifying previously suggested bimdal model for evolution of particle generation and growth. In the present model, two monodisperse modes are used and 40 charge nodes are assigned to each mode to account both change of the particle size and charge distribution. In addition, we also implemented the effect of electrostatic dispersion loss in the present model. Based on the developed model, we analyzed coagulation of asymmetric bipolar charged particles by computing evolutions of particle number concentration, geometric mean diameter of particles, charge asymmetric ratio and geometric standard deviation of particle size distribution for various initial charge asymmetric ratios. The number concentration of asymmetric bipolar charged particles decreases faster than that of neutral particles but that does not give faster growth of particles since the electrostatic dispersion loss overwhelms particle growth by coagulation.

비대칭 왜곡 어안렌즈를 위한 영상 손실 최소화 왜곡 보정 기법 (Image Data Loss Minimized Geometric Correction for Asymmetric Distortion Fish-eye Lens)

  • 조영주;김성희;박지영;손진우;이중렬;김명희
    • 한국시뮬레이션학회논문지
    • /
    • 제19권1호
    • /
    • pp.23-31
    • /
    • 2010
  • 180도 이상의 영역을 획득하는 어안렌즈(fisheye lens)는 최소의 카메라로 최대 시야각을 확보할 수 있는 장점으로 인해 차량 장착 시도가 늘고 있다. 이와 같이 어안렌즈를 통해 시야를 확보하고, 영상센서로 사용하기 위해서는 캘리브레이션 작업이 선행되어야 하며, 운전자에게 현실감 있는 영상을 제공하기 위해서는 이를 이용하여 방사왜곡(radial distortion)에 따른 기하학적인 왜곡 보정이 필요하다. 본 논문에서는 비대칭 왜곡을 가진 180도 이상 화각의 차량용 대각선 어안렌즈를 위해 영상 손실을 최소화하는 왜곡 보정 기법을 제안한다. 왜곡 보정은 왜곡 모델이 포함된 카메라 모델을 설정하고 캘리브레이션 과정을 통해 카메라 파라미터를 구한 후 왜곡이 보정된 뷰를 생성하는 과정으로 이루어진다. 먼저 왜곡모델로서 비선형의 왜곡 형상을 모방한 FOV(Field of View)모델을 사용한다. 또한 비대칭 왜곡렌즈의 경우 운전자의 좌우 시야각 확보에 중점을 두어 수직 화각보다 수평 화각이 크게 설계되었기 때문에 영상의 장축, 단축의 비율을 일치시킨 후 비선형 최적화 알고리즘을 사용하여 카메라 파라미터를 추정한다. 최종적으로 왜곡이 보정된 뷰 생성 시 역방향 사상과 함께 수평, 수직 방향에 대한 왜곡 보정 정도를 제어 가능하도록 함으로써 화각이 180도 이상인 영상에 대해서 핀홀 카메라 모델을 적용하여 2차원 평면으로 영상을 보정하는 경우 발생하는 영상 손실을 최소화하고 시각적 인지도를 높일 수 있도록 하였다.

비대칭 수직 접이식 로터세일의 성능 평가에 관한 수치해석 연구 (Numerical Study on the Aerodynamic Performance of Asymmetric Vertical Folding Rotor Sail)

  • 박정윤;서장훈;박동우
    • 대한조선학회논문집
    • /
    • 제61권2호
    • /
    • pp.68-76
    • /
    • 2024
  • The rotor sail is one of the representative devices in eco-friendly wind-assisted propulsion systems that have been practically applied to commercial ships. The present study proposes an asymmetric vertical folding rotor sail (AFRS) designed for small ships, featuring asymmetric geometry along the vertical direction and the function of vertical folding. To evaluate the aerodynamic performance of rotor sail, the drag, lift and lift-to-drag ratio were derived using computational fluid dynamics. The aerodynamic performance of AFRS was compared with that of normal rotor sail with different aspect ratios and spin ratios. The effect of geometric parameters on the aerodynamic performance of AFRS was assessed by varying the asymmetric diameter ratio. The maximum improvement in lift-to-drag ratio for AFRS was approximately 12% in the considered case. Additionally, the resistance is decreased when AFRS is vertically folded without rotating. Throughout the present study, improved aerodynamic and resistance performances for AFRS were confirmed, which will successfully provide additional propulsion to small ships.

기하학적 조형성을 이용한 3D 가상의상 개발 (Development of a 3D Virtual Costume Using Geometric Formativeness)

  • 서여;김민지
    • 패션비즈니스
    • /
    • 제27권3호
    • /
    • pp.115-131
    • /
    • 2023
  • The revolution of digital fashion continues along with the development of technology. In particular, after COVID-19, fashion design development, exhibitions, and fashion shows using the metaverse space are being actively developed. In particular, as research on 3D virtual costumes becomes active, creative ideas are needed to develop creative virtual costumes. The purpose of this study is to examine the geometric formative characteristics of constructivism in art and fashion design and to develop 3D virtual works using them. Geometric form is a logical and rational basic form that includes the order of nature as an artistic material that has been constantly studied along with the creation of mankind a long time ago, and it has become a motif of many artworks and fashion. In this paper, we studied the application of the costume design of geometric shapes according to the 3D Clo, virtual-wear production software, and understood the effect of the combination of geometric shapes on costume styling. As the formative characteristics of constructivist art, three types of overlap, asymmetry, and simplicity were derived, and the geometric form was visually simple, clear, and concise. The first work produced virtual costumes that reflected the overlapping elements of constructivism. The second costume was produced by reflecting the asymmetric formative characteristics of constructivism. The third costume was a jacket that applied the simplicity of constructivist art.