• 제목/요약/키워드: convex domain

검색결과 87건 처리시간 0.021초

$C^\infty$ EXTENSIONS OF HOLOMORPHIC FUNCTIONS FROM SUBVARIETIES OF A CONVEX DOMAIN

  • Cho, Hong-Rae
    • 대한수학회보
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    • 제38권3호
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    • pp.487-493
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    • 2001
  • $Let \Omega$ be a bounded convex domain in C^n$ with smooth boundary. Let M be a subvariety of $\Omega$ which intersects $\partial$$\Omega$ transversally. Suppose that $\Omega$ is totally convex at any point of $\partial$M in the complex tangential directions.For f $\epsilon$O(M)$\bigcap$/TEX>$C^{\infty}$($\overline{M}$/TEX>), there exists F $\epsilon$ o ($\Omega$))$\bigcap$/TEX>$C^{\infty}$($\overline{\Omega}$/TEX>) such that F(z) = f(z) for z $\epsilon$ M.

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k-convex hull을 이용한 DNA 염기 배열의 가시화 (DNA Sequence Visualization with k-convex Hull)

  • 김민아;이은정;조환규
    • 한국컴퓨터그래픽스학회논문지
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    • 제2권2호
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    • pp.61-68
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    • 1996
  • 본 논문에서는 대용량의 DNA 염기 배열의 정성 정보를 특징짓기 위한 새로운 가시화 방법을 제안한다. DNA 배열은 배열 자체가 방대한 양의 정보를 포함하고 있기 때문에 분석에 많은 어려움이 있다. 우리는 DNA 염기 배열들사이의 상사성 비교를 위해 DNA 염기 배열을 하나의 이미지 도메인으로 변환한다. 프로그램은 random walk plot으로 DNA 염기 배열을 가시화한 후에 k-convex hull로 단순화 시킨다. Random Walk plot은 염기배열을 평면상에 하나의 커브로 표현한다. k-convex hull은 walk plot으로부터 무의미한 부분을 제거함으로서 walk plot을 단순화한다. 이러한 방법은 유전공학자들에게 쉽게 DNA 배열의 특징을 인식하고 분류할 수 있는 직관을 제공한다. 실제 게놈 데이터로 실험한 결과는 논문에서 제안하는 방법이 긴 DNA 염기배열들 사이의 유사성 분석을 위해 좋은 가시화 도구임을 보여준다.

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Domain Mapping using Nonlinear Finite Element Formulation

  • Patro, Tangudu Srinivas;Voruganti, Hari K.;Dasgupta, Bhaskar;Basu, Sumit
    • International Journal of CAD/CAM
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    • 제8권1호
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    • pp.29-36
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    • 2009
  • Domain mapping is a bijective transformation of one domain to another, usually from a complicated general domain to a chosen convex domain. This is directly useful in many application problems like shape modeling, morphing, texture mapping, shape matching, remeshing, path planning etc. A new approach considering the domain as made up of structural elements, like membranes or trusses, is developed and implemented using the nonlinear finite element formulation. The mapping is performed in two stages, boundary mapping and inside mapping. The boundary of the 3-D domain is mapped to the surface of a convex domain (in this case, a sphere) in the first stage and then the displacement/distortion of this boundary is used as boundary conditions for mapping the interior of the domain in the second stage. This is a general method and it develops a bijective mapping in all cases with judicious choice of material properties and finite element analysis. The consistent global parameterization produced by this method for an arbitrary genus zero closed surface is useful in shape modeling. Results are convincing to accept this finite element structural approach for domain mapping as a good method for many purposes.

FIXED POINT THEOREMS FOR INFINITE DIMENSIONAL HOLOMORPHIC FUNCTIONS

  • Harris, Lwarence-A.
    • 대한수학회지
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    • 제41권1호
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    • pp.175-192
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    • 2004
  • This talk discusses conditions on the numerical range of a holomorphic function defined on a bounded convex domain in a complex Banach space that imply that the function has a unique fixed point. In particular, extensions of the Earle-Hamilton Theorem are given for such domains. The theorems are applied to obtain a quantitative version of the inverse function theorem for holomorphic functions and a distortion form of Cartan's unique-ness theorem.

COEFFICIENT BOUNDS FOR p-VALENTLY CLOSE-TO-CONVEX FUNCTIONS ASSOCIATED WITH VERTICAL STRIP DOMAIN

  • Bulut, Serap
    • Korean Journal of Mathematics
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    • 제29권2호
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    • pp.395-407
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    • 2021
  • By considering a certain univalent function that maps the unit disk 𝕌 onto a strip domain, we introduce new subclasses of analytic and p-valent functions and determine the coefficient bounds for functions belonging to these new classes. Relevant connections of some of the results obtained with those in earlier works are also provided.

Multi-loop PID Control Method of Brushless DC Motors via Convex Combination Method

  • Kim, Chang-Hyun
    • Journal of Electrical Engineering and Technology
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    • 제12권1호
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    • pp.72-77
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    • 2017
  • This paper proposes the explicit tuning rule of multi-loop PID controller for brushless direct current motors to predict the system behaviors in time and frequency domains, using properties of the convex combination method. The convex set of the proposed controllers formulates the envelope to satisfy the performances in time and frequency domains. The final control parameters are determined by solving the convex optimization problem subject to the constraints which are represented as convex set of time domain performances. The effectiveness of the proposed control method is shown in the numerical simulation, in which controller tuning algorithm and dynamics of brushless DC motor are well taken into account.

볼록형 최적화기법을 이용한 LQ-서보 설계 방법 (II) 시간 영역에서의 접근 (LQ-servo Design Method Using Convex Optimization(II) Time Domain Approach)

  • 김상엽;서병설
    • 한국통신학회논문지
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    • 제25권6A호
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    • pp.855-861
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    • 2000
  • 본 논문은 시간 영역에서의 접근 방법에 기초하여 LQ-서보형 PI 제어기 설계 기법을 개발하였다. 이러한 연구의 동기가 된것은 주파수 영역에서 개발된 기존의 방법이 시간영역의 설계사양들을 잘 만족하지 않기 때문이다. 본 논문에서 개발된 기법은 라그랑지 곱셈기, 쌍대개념, 반한정 프로그래밍을 포함하는 볼록형최적화 기법에 기반을 둔다.

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