• Title/Summary/Keyword: Transformation Operator

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SOME SYMMETRY PRESERVING TRANSFORMATION IN POPULATION GENETICS

  • Choi, Won
    • Journal of applied mathematics & informatics
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    • 제27권3_4호
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    • pp.757-762
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    • 2009
  • In allelic model $X\;=\;(x_1,\;x_2,\;{\cdots},\;x_d)$, $$M_f(t)\;=\;f(p(t))\;-\;{\int}^t_0\;Lf(p(t))ds$$ is a P-martingale for diffusion operator L under the certain conditions. We can also obtain a new diffusion operator $L^*$ for diffusion coefficient and we prove that unique solution for $L^*$-martingale problem exists. In this note, we define new symmetric preserving transformation. Uniqueness for martingale problem and symmetric property will be proved.

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Classes of Multivalent Functions Defined by Dziok-Srivastava Linear Operator and Multiplier Transformation

  • Kumar, S. Sivaprasad;Taneja, H.C.;Ravichandran, V.
    • Kyungpook Mathematical Journal
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    • 제46권1호
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    • pp.97-109
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    • 2006
  • In this paper, the authors introduce new classes of p-valent functions defined by Dziok-Srivastava linear operator and the multiplier transformation and study their properties by using certain first order differential subordination and superordination. Also certain inclusion relations are established and an integral transform is discussed.

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On Sufficient Conditions for Certain Subclass of Analytic Functions Defined by Convolution

  • Sooriyakala, Paramasivam;Marikkannan, Natarajan
    • Kyungpook Mathematical Journal
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    • 제49권1호
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    • pp.47-55
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    • 2009
  • In the present investigation sufficient conditions are found for certain subclass of normalized analytic functions defined by Hadamard product. Differential sandwich theorems are also obtained. As a special case of this we obtain results involving Ruscheweyh derivative, S$\u{a}$l$\u{a}$gean derivative, Carlson-shaffer operator, Dziok-Srivatsava linear operator, Multiplier transformation.

건물벽면 영상내 코너점의 대응관계 구성을 위한 사영변환행렬의 적용성 (Applicability of Projective Transformation for Constructing Correspondences among Corners in Building Facade Imagery)

  • 서수영
    • 대한원격탐사학회지
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    • 제30권6호
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    • pp.709-717
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    • 2014
  • 본 연구는 사영변환행렬을 적용한 경우 건물벽면 영상 간 코너점의 대응정도를 분석하는 것을 목표로 한다. 부가적으로 코너점을 찾기 위한 적절한 연산자를 실험을 통하여 결정하였다. 건물형상에 대한 모델링은 항공사진, 항공라이다영상, 지상사진, 지상라이다영상 등 다양한 자료를 이용하여 많은 기법들이 연구되어 왔다. 본 연구에서는 영상 간 정합을 위하여 필요한 코너점 검출방법으로 Harris 연산자와 FAST 연산자의 성능을 비교하였다. 비교결과 Harris 연산자가 건물벽면에서 코너점 추출에 우수하다는 결론을 내렸다. Harris 연산자로 코너점 검출 후, 사영변환행렬을 통하여 코너점 들의 대응정도를 비교한 결과, 대부분의 경우 최소거리에 실제 대응점들이 위치해 있음을 알 수 있었다. 사영변환행렬의 성능을 기준점 수와 분포를 고려하여 대응정도에 미치는 영향을 분석한 결과 기준점이 많고 골고루 분포한 경우에 더욱 정확한 대응 관계를 제공하는 것으로 나타났다.

INTEGRAL KERNEL OPERATORS ON REGULAR GENERALIZED WHITE NOISE FUNCTIONS

  • Ji, Un-Cig
    • 대한수학회보
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    • 제37권3호
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    • pp.601-618
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    • 2000
  • Let (and $g^*$) be the space of regular test (and generalized, resp.) white noise functions. The integral kernel operators acting on and transformation groups of operators on are studied, and then every integral kernel operator acting on can be extended to continuous linear operator on $g^*$. The existence and uniqueness of solutions of Cauchy problems associated with certain integral kernel operators with intial data in $g^*$ are investigated.

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Width Operator for Resonance Width Determination

  • 박태준
    • Bulletin of the Korean Chemical Society
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    • 제17권2호
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    • pp.198-200
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    • 1996
  • The resonance width may be directly determined by solving an eigenvalue equation for width operator which is derived in this work based on the method of complex scaling transformation. The width operator approach is advantageous to the conventional rotating coordinate method in twofold; 1) calculation can be done in real arithmetics and, 2) so-called θ-trajectory is not required for determining the resonance widths. Application to one- and two-dimensional model problems can be easily implemented.

ASCENT AND DESCENT OF COMPOSITION OPERATORS ON LORENTZ SPACES

  • Bajaj, Daljeet Singh;Datt, Gopal
    • 대한수학회논문집
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    • 제37권1호
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    • pp.195-205
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    • 2022
  • In this paper, we provide various characterizations for the composition operator on Lorentz spaces L(p, q), 1 < p ≤ ∞, 1 ≤ q ≤ ∞ to have finite ascent (descent) in terms of its inducing measurable transformation. At the end, in order to demonstrate our outcomes, some examples are given.