• Title/Summary/Keyword: Matrix function

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An Efficient Filter Design via Optimized Rational-Function Fitting, without Similarity Transformation

  • Kahng Sung-Tek
    • Journal of electromagnetic engineering and science
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    • v.6 no.3
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    • pp.155-159
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    • 2006
  • An efficient method is presented to design filters without the similarity transform of their coupling coefficient matrix as circuit parameters, which is very tedious due to pivoting and deciding rotation angles needed during the iterations. The transfer function of a filter is directly used for the design and its desired form is derived by the optimized rational-function fitting technique. A 3rd order coaxial lowpass filter is taken as an example to validate the proposed method.

DOMAIN OF EULER-TOTIENT MATRIX OPERATOR IN THE SPACE 𝓛p

  • Demiriz, Serkan;Erdem, Sezer
    • Korean Journal of Mathematics
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    • v.28 no.2
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    • pp.361-378
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    • 2020
  • The most apparent aspect of the present study is to introduce a new sequence space 𝚽(𝓛p) derived by double Euler-Totient matrix operator. We examine its topological and algebraic properties and give an inclusion relation. In addition to those, the α-, β(bp)- and γ-duals of the space 𝚽(𝓛p) are determined and finally, some 4-dimensional matrix mapping classes related to this space are characterized.

Roles of Matrix Metalloproteinase-9 in Cancer Metastasis

  • Kang, Hyereen;Jang, Sung-Wuk
    • Biomedical Science Letters
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    • v.20 no.3
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    • pp.103-110
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    • 2014
  • Matrix metalloproteinases (MMPs), also called matrixins, function in the extracellular environment of cells and degrade both matrix and non-matrix proteins. They are multidomain proteins and their activities are regulated by tissue inhibitor of metalloproteinases (TIMPs). The uncontrolled regulation of MMPs is involved in various pathologic processes, such as tumor invasion, migration, host immune escape, extravasation, angiogenesis, and tumor growth. Especially, matrix metalloproteinase-9 (MMP-9) is one of the metastasis-accelerating genes involved in metastasis of various types of human cancers. Here, we review the member of MMP family and discusses their domain structure and function, enzyme activation, the mechanism of inhibition by TIMPs. In particular, we focus the role of MMP-9 in relation to cancer metastasis.

A New Function Embedding Method for the Multiple-Controlled Unitary Gate based on Literal Switch (리터럴 스위치에 의한 다중제어 유니터리 게이트의 새로운 함수 임베딩 방법)

  • Park, Dong-Young
    • The Journal of the Korea institute of electronic communication sciences
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    • v.12 no.1
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    • pp.101-108
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    • 2017
  • As the quantum gate matrix is a $r^{n+1}{\times}r^{n+1}$ dimension when the radix is r, the number of control state vectors is n, and the number of target state vectors is one, the matrix dimension with increasing n is exponentially increasing. If the number of control state vectors is $2^n$, then the number of $2^n-1$ unit matrix operations preserves the output from the input, and only one can be performed the unitary operation to the target state vector. Therefore, this paper proposes a new method of function embedding that can replace $2^n-1$ times of unit matrix operations with deterministic contribution to matrix dimension by arithmetic power switch of the unitary gate. The proposed function embedding method uses a binary literal switch with a multivalued threshold, so that a general purpose hybrid MCU gate can be realized in a $r{\times}r$ unitary matrix.

Differential Game Based Air Combat Maneuver Generation Using Scoring Function Matrix

  • Park, Hyunju;Lee, Byung-Yoon;Tahk, Min-Jea;Yoo, Dong-Wan
    • International Journal of Aeronautical and Space Sciences
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    • v.17 no.2
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    • pp.204-213
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    • 2016
  • A differential game theory based approach is used to develop an automated maneuver generation algorithm for Within Visual Range (WVR) air-to-air combat of unmanned combat aerial vehicles (UCAVs). The algorithm follows hierarchical decisionmaking structure and performs scoring function matrix calculation based on differential game theory to find the optimal maneuvers against dynamic and challenging combat situation. The score, implying how much air superiority the UCAV has, is computed from the predicted relative geometry, relative distance and velocity of two aircrafts. Security strategy is applied at the decision-making step. Additionally, a barrier function is implemented to keep the airplanes above the altitude lower bound. To shorten the simulation time to make the algorithm more real-time, a moving horizon method is implemented. An F-16 pseudo 6-DOF model is used for realistic simulation. The combat maneuver generation algorithm is verified through three dimensional simulations.

Space Deformation of Parametric Surface Based on Extension Function

  • Wang, Xiaoping;Ye, Zhenglin;Meng, Yaqin;Li, Hongda
    • International Journal of CAD/CAM
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    • v.1 no.1
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    • pp.23-32
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    • 2002
  • In this paper, a new technique of space deformation for parametric surfaces with so-called extension function (EF) is presented. Firstly, a special extension function is introduced. Then an operator matrix is constructed on the basis of EF. Finally the deformation of a surface is achieved through multiplying the equation of the surface by an operator matrix or adding the multiplication of some vector and the operator matrix to the equation. Interactively modifying control parameters, ideal deformation effect can be got. The implementation shows that the method is simple, intuitive and easy to control. It can be used in such fields as geometric modeling and computer animation.

Model-Reduction of Linear Discrete Large-Scale Systems (행렬부호함수를 이용한 이산치 계통의 모델 저차화)

  • 천희영;박귀태;이창훈;박승규
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.35 no.8
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    • pp.333-340
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    • 1986
  • This paper presents an approach for determining the discrete reduced-order models for largescale system by using matrix sign function. We define projection operators based on the matrix sign function and develop the algorithm for model-reduction by using them. Simulation studies show that the proposed altgorithm is very useful.

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EXTENDED GENERALIZED BATEMAN'S MATRIX POLYNOMIALS

  • Makky, Mosaed M.
    • Communications of the Korean Mathematical Society
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    • v.36 no.2
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    • pp.239-246
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    • 2021
  • In this article, a study of generalized Bateman's matrix polynomials is presented. We obtained partial differential equations by using differential operators in the generalized Bateman's matrix polynomials for two variables. Then we introduced some different recurrence relationships of the generalized Bateman's matrix polynomials. Finally present the relationship between the generalized Bateman's matrix polynomials of one and two variables.

Development of a CPInterface (COMSOL-PyLith Interface) for Finite Source Inversion using the Physics-based Green's Function Matrix (물리 기반 유한 단층 미끌림 역산을 위한 CPInterface (COMSOL-PyLith Interface) 개발)

  • Minsu Kim;Byung-Dal So
    • Geophysics and Geophysical Exploration
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    • v.26 no.4
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    • pp.268-274
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    • 2023
  • Finite source inversion is performed with a Green's function matrix and geodetic coseismic displacement. Conventionally, the Green's function matrix is constructed using the Okada model (Okada, 1985). However, for more realistic earthquake simulations, recent research has widely adopted the physics-based model, which can consider various material properties such as elasticity, viscoelasticity, and elastoplasticity. We used the physics-based software PyLith, which is suitable for earthquake modeling. However, the PyLith does not provide a mesh generator, which makes it difficult to perform finite source inversions that require numerous subfaults and observation points within the model. Therefore, in this study, we developed CPInterface (COMSOL-PyLith Interface) to improve the convenience of finite source inversion by combining the processes of creating a numerical model including sub-faults and observation points, simulating earthquake modeling, and constructing a Green's function matrix. CPInterface combines the grid generator of COMSOL with PyLith to generate the Green's function matrix automatically. CPInterface controls model and fault information with simple parameters. In addition, elastic subsurface anomalies and GPS observations can be placed flexibly in the model. CPInterface is expected to enhance the accessibility of physics-based finite source inversions by automatically generating the Green's function matrix.

Intelligent Hospital Concept Definition by Implementing Quality Function Deployment And System Requirement Analysis (QFD(Quality Function Deployment)와 시스템 요구분석 기법을 이용한 지능형 병원 시스템 개념 정립)

  • Lee, Jun Ho;Kim, Dae Hong;Jin, Kyung Hoon;Ham, Jae Bok;Lee, Jae Woo
    • Journal of the Korean Society of Systems Engineering
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    • v.2 no.1
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    • pp.24-30
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    • 2006
  • In this study, the design concepts for Intelligent Hospital are derived using the Quality Function Deployment(QFD) and System Requirement Analysis Method. First, requirements for important elements of Intelligent hospital are defined. Second, similar systems are compared and user requirement are refined. Through this process, operational requirement for Intelligent Hospital are defined by combining user requirements and similar systems. To analyze operational requirement, the QFD of the system engineering approach are implemented. Alternative design specifications are constructed by implementing the QFD results by building the Morphological Matrix. Various concepts that satisfy the system requirement are derived. Finally the best design concept are obtained using the Pugh concept selection matrix.

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