• 제목/요약/키워드: Symmetric Transformation

검색결과 59건 처리시간 0.026초

A Coupled Higher-Order Nonlinear $Schr{\ddot{o}}dinger$ Equation Including Higher-Order Bright and Dark Solitons

  • Kim, Jong-Bae
    • ETRI Journal
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    • 제23권1호
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    • pp.9-15
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    • 2001
  • We suggest a generalized Lax pair on a Hermitian symmetric space to generate a new coupled higher-order nonlinear $Schr{\ddot{o}}dinger$ equation of a dual type which contains both bright and dark soliton equations depending on parameters in the Lax pair. Through the generalized ways of reduction and the scaling transformation for the coupled higher-order nonlinear $Schr{\ddot{o}}dinger$ equation, two integrable types of higher-order dark soliton equations and their extensions to vector equations are newly derived in addition to the corresponding equations of the known higher-order bright solitons. Analytical discussion on a general scalar solution of the higher-order dark soliton equation is then made in detail.

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A Game Theoretic Cross-Layer Design for Resource Allocation in Heterogeneous OFDMA Networks

  • Zarakovitis, Charilaos C.;Nikolaros, Ilias G.;Ni, Qiang
    • IEIE Transactions on Smart Processing and Computing
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    • 제1권1호
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    • pp.50-64
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    • 2012
  • Quality of Service (QoS) and fairness considerations are undoubtedly essential parameters that need to be considered in the design of next generation scheduling algorithms. This work presents a novel game theoretic cross-layer design that offers optimal allocation of wireless resources to heterogeneous services in Orthogonal Frequency Division Multiple Access (OFDMA) networks. The method is based on the Axioms of the Symmetric Nash Bargaining Solution (S-NBS) concept used in cooperative game theory that provides Pareto optimality and symmetrically fair resource distribution. The proposed strategies are determined via convex optimization based on a new solution methodology and by the transformation of the subcarrier indexes by means of time-sharing. Simulation comparisons to relevant schemes in the literature show that the proposed design can be successfully employed to typify ideal resource allocation for next-generation broadband wireless systems by providing enhanced performance in terms of queuing delay, fairness provisions, QoS support, and power consumption, as well as a comparable total throughput.

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ON DIFFERENTIAL INVARIANTS OF HYPERPLANE SYSTEMS ON NONDEGENERATE EQUIVARIANT EMBEDDINGS OF HOMOGENEOUS SPACES

  • HONG, JAEHYUN
    • 대한수학회논문집
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    • 제30권3호
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    • pp.253-267
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    • 2015
  • Given a complex submanifoldM of the projective space $\mathbb{P}$(T), the hyperplane system R on M characterizes the projective embedding of M into $\mathbb{P}$(T) in the following sense: for any two nondegenerate complex submanifolds $M{\subset}\mathbb{P}$(T) and $M^{\prime}{\subset}\mathbb{P}$(T'), there is a projective linear transformation that sends an open subset of M onto an open subset of M' if and only if (M,R) is locally equivalent to (M', R'). Se-ashi developed a theory for the differential invariants of these types of systems of linear differential equations. In particular, the theory applies to systems of linear differential equations that have symbols equivalent to the hyperplane systems on nondegenerate equivariant embeddings of compact Hermitian symmetric spaces. In this paper, we extend this result to hyperplane systems on nondegenerate equivariant embeddings of homogeneous spaces of the first kind.

ON INDEFINITE LOCALLY CONFORMAL COSYMPLECTIC MANIFOLDS

  • Massamba, Fortune;Mavambou, Ange Maloko;Ssekajja, Samuel
    • 대한수학회논문집
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    • 제32권3호
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    • pp.725-743
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    • 2017
  • We prove that there exist foliations whose leaves are the maximal integral null manifolds immersed as submanifolds of indefinite locally conformal cosymplectic manifolds. Necessary and sufficient conditions for such leaves to be screen conformal, as well as possessing integrable distributions are given. Using Newton transformations, we show that any compact ascreen null leaf with a symmetric Ricci tensor admits a totally geodesic screen distribution. Supporting examples are also obtained.

개별 관측치에서 지수변환을 이용한 EWMA 관리도 적용기법 (EWMA chart Application using the Transformation of the Exponential with Individual Observations)

  • 지선수
    • 산업경영시스템학회지
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    • 제22권52호
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    • pp.337-345
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    • 1999
  • The long-tailed, positively skewed exponential distribution can be made into an almost symmetric distribution by taking the exponent of the data. In these situations, to use the traditional shewhart control limits on an individuals chart would be impractical and inconvenient. The transformed data, approximately bell-shaped, can be plotted conveniently on the individuals chart and exponentially weighted moving average chart. In this paper, using modifying statistics with transformed exponential of the data, we give a method for constructing control charts. Selecting method of exponent for individual chart is evaluated. And consider that smaller weight being assigned to the older data as time process and properties and taking method of exponent($\theta$), weighting factor($\alpha$) are suggested. Our recommendation, on the basis result of simulation, is practical method for EWMA chart.

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시계열 데이터 기반의 대칭 변환 윤곽선 이미지 매칭 (Symmetric Transformation Boundary Image Matching Based on Time-Series Data)

  • 방준상;이상훈;문양세
    • 한국정보처리학회:학술대회논문집
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    • 한국정보처리학회 2015년도 춘계학술발표대회
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    • pp.687-690
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    • 2015
  • 본 논문에서는 대칭 변환을 지원하는 윤곽선 이미지 매칭 문제를 다룬다. 이미지 매칭에서 이미지의 대칭 변환을 지원하는 것은 직관적이고 정확한 매칭을 위해 매우 중요한 요소이다. 그러나, 기존 이미지 매칭에서는 이미지 회전-불변만 고려하였을 뿐 대칭 변환은 고려하지 않았다. 본 논문에서는 기존 회전-불변 윤곽선 이미지 매칭과 함께 대칭 변환을 지원하는 새로운 윤곽선 이미지 매칭을 제안한다. 실험 결과, 제안하는 대칭 변환 매칭은 회전-불변만을 지원하는 기존 윤곽선 이미지 매칭에 비해 보다 정확하고 직관적인 결과를 도출하는 것으로 나타났다. 이 같은 결과는 대칭 변환 윤곽선 이미지 매칭이 이미지의 대칭 변환 문제를 시계열 도메인에서 해결한 우수한 해결책임을 의미한다.

Elastoplastic nonlinear behavior of planar steel gabled frame

  • Moghaddam, Sina Heyrani;Masoodi, Amir R.
    • Advances in Computational Design
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    • 제4권4호
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    • pp.397-413
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    • 2019
  • In this paper, static nonlinear analysis of gable frame is performed using OpenSees software. Both geometric and material nonlinearities are considered in analyses. To consider large displacements, co-rotational coordinate transformation is used in software. The effects of symmetric and asymmetric support conditions including clamped and simple supports are studied. On the other hand, the material nonlinearity is reflected on analyses using Giuffre-Menegotto-Pinto steel material. Note that strain hardening characteristics are also considered in this model. Moreover, I-shaped cross-section is assumed for all members. The results are provided for different geometry properties of gable frame including shallow and deep inclined roof. It should be added that buckling and post-buckling behaviors of gable frame are investigated using related equilibrium paths. A comparison study is also implemented on the responses of buckling loads obtained for different support and geometry conditions. To trace snap-through paths completely, a displacement control method entitled arc-length is utilized. Findings show the capability of proposed model in nonlinear analysis of gable frames.

로지스틱 평활화 함수에 의한 영상의 화질개선 (Image Quality Enhancement by Using Logistic Equalization Function)

  • 조용현
    • 한국지능시스템학회논문지
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    • 제20권1호
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    • pp.30-35
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    • 2010
  • 본 논문에서는 대칭 로지스틱 함수에 기반을 둔 히스토그램 평활화를 이용한 영상의 화질개선을 제안하였다. 여기서 히스토그램 평활화는 영상의 명암도를 조정하여 화질을 개선하는 간단하고 효과적인 공간영역 기반 처리기법이다. 또한 대칭 로지스틱 함수는 s-자 형의 비선형 변환함수로 영상의 명암도 발생빈도수에 따라 밝기개선 정도를 비선형적으로 조정하기 위함이다. 특히 영상의 히스토그램에서 최대 발생빈도수를 가지는 명암도와 전체 픽셀수만을 이용한 유연한 대칭의 로지스틱 함수를 제안함으로써, 기존 로지스틱 함수에서의 지수함수 계산 부담을 감소시켰다. 제안된 평활화 기법을 크기와 히스토그램 분포가 다른 5개의 영상을 대상으로 실험한 결과, 원 영상이나 기존의 전역 히스토그램 평활화의 결과영상보다 우수한 화질개선 성능이 있음을 확인하였다.

비분리 영상처리에서 이중 트리 웨이브렛 변환을 사용한 디지털 영상 성능 개선에 관한 연구 (A Study on Enhancement of Digital Image Performance Using Dual Tree Wavelet Transformation in Non-separable Image Processing)

  • 임중희;지인호
    • 한국인터넷방송통신학회논문지
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    • 제12권1호
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    • pp.65-74
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    • 2012
  • 이중 트리 이산 웨이브렛 변환은 이산 웨이브렛 변환 보다 우수하며, 이동 변이(shift variance)의 웨이브렛 보다 적은 계산량을 가진다. 이러한 특성들은 잡음 제거, 텍스쳐 분할 등에서 효율적으로 사용된다. 이중 트리 이산 웨이브렛 변환을 수행하는 과정에 Quincunx 표본화를 적용하였다. 이 방법은 이중 트리 이산 웨이브렛 변환의 주된 특징인 이동 불변성의 성질과 다양한 방향성의 특징 그리고 비분리 영상처리 효과를 증가시킬 수 있다. 본 논문에서는 제안된 방법에 대한 성능을 평가하고 실험결과를 제시하였다. 따라서 비분리 처리특성으로 인위적인 패턴을 갖는 디지털 영상에 대해서 웨이브렛 변환의 특징을 얻을 수 있어 효율적인 영상처리가 가능하다.

원자력 주기기용 볼트 개폐구조물의 해석과 ANSYS를 이용한 전용 해석 프로그램의 개발 (An analysis of bolted opening structure and development of analysis expert system using ANSYS)

  • 전성문;서의권;심현보;김태환;이부윤
    • 대한기계학회논문집A
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    • 제22권4호
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    • pp.731-742
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    • 1998
  • Bolted opening structures is widely applied for class 1 machinery of nuclear plant with strict design requirement. As the shape of the bolted opening structure is non-axisymmetric due to the existence of stud bolts although it is almost axi-symmetric, 3D analysis is required to satisfy such kind of design requirements. Because as much as possible trial computations are need to get an optimal design condition in the limited period of basic design, an easy and fast analysis tool is useful in the design stage. In the paper, a transformation technique of non-axisymmetric problem into quasi-axisymmetric has been proposed based on the general purpose commercial code ANSYS. Both the pre-processor which incorporates the technique and prepares data and post-processor which prepares arranged results from the huge output of commercial code have been developed to help the design engineers.