• Title/Summary/Keyword: algebraic approach

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LATTICE ORDERED SOFT NEAR RINGS

  • Mahmood, Tahir;Rehman, Zia Ur;Sezgin, Aslihan
    • Korean Journal of Mathematics
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    • v.26 no.3
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    • pp.503-517
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    • 2018
  • Keeping in view the expediency of soft sets in algebraic structures and as a mathematical approach to vagueness, in this paper the concept of lattice ordered soft near rings is introduced. Different properties of lattice ordered soft near rings by using some operations of soft sets are investigated. The concept of idealistic soft near rings with respect to lattice ordered soft near ring homomorphisms is deliberated.

NUMERICAL SOLUTION OF EQUILIBRIUM EQUATIONS

  • Jang, Ho-Jong
    • Communications of the Korean Mathematical Society
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    • v.15 no.1
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    • pp.133-142
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    • 2000
  • We consider some numerical solution methods for equilibrium equations Af + E$^{T}$ λ = r, Ef = s. Algebraic problems of this form evolve from many applications such as structural optimization, fluid flow, and circuits. An important approach, called the force method, to the solution to such problems involves dimension reduction nullspace computation for E. The purpose of this paper is to investigate the substructuring method for the solution step of the force method in the context of the incompressible fluid flow. We also suggests some iterative methods based upon substructuring scheme..

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THE LEFSCHETZ CONDITION ON PROJECTIVIZATIONS OF COMPLEX VECTOR BUNDLES

  • Nishinobu, Hirokazu;Yamaguchi, Toshihiro
    • Communications of the Korean Mathematical Society
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    • v.29 no.4
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    • pp.569-579
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    • 2014
  • We consider a condition under which the projectivization $P(E^k)$ of a complex k-bundle $E^k{\rightarrow}M$ over an even-dimensional manifold M can have the hard Lefschetz property, affected by [10]. It depends strongly on the rank k of the bundle $E^k$. Our approach is purely algebraic by using rational Sullivan minimal models [5]. We will give some examples.

A method of formulating the equations of motion of multibody systems (다몸체 시스템의 운동방정식 형성방법)

  • 노태수
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.926-930
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    • 1993
  • An efficient method of formulating the equations of motion of multibody systems is presented. The equations of motion for each body are formulated by using Newton-Eulerian approach in their generic form. And then a transformation matrix which relates the global coordinates and relative coordinates is introduced to rewrite the equations of motion in terms of relative coordinates. When appropriate set of kinematic constraints equations in terms of relative coordinates is provided, the resulting differential and algebraic equations are obtained in a suitable form for computer implementation. The system geometry or topology is effectively described by using the path matrix and reference body operator.

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A study on Algebraic Approach Method for Model Reduction Via BPF (블럭펄스함수를 이용한 모델축소의 대수적 접근방법에 관한 연구)

  • Cho, Young-Ho;Shim, Jae-Sun;Min, Gyeong-Seol;Lim, Yun-Sic
    • Proceedings of the KIEE Conference
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    • 2004.07d
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    • pp.2176-2178
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    • 2004
  • 본 논문은 고차 시스템의 응답에 가장 최적한 응답을 갖는 저차 시스템의 응답을 갖도록 최적응답 방법에 블럭펄스 함수를 적용하여 대수적인 방법으로 저차 시스템의 파라메터를 구하는 알고리즘을 제시하였다.

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State feedback controller design for linear multivariable systems with delays (다변수 시간지연 시스템의 상태궤환 제어기 설계)

  • 홍석민;황승구;이상정
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.1040-1044
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    • 1992
  • This paper presents an algebraic approach for finding a dynamic state feedback controller when the linear multi-input system with delays in both state and input is controllable. In the time-delay case, controllability of the system does not always imply that system is cyclizable. Therefore, reduced order augmentation systems which is cyclizable as the time-varying case are considered. It is possible to construct feedback contorl systems by using single-input methods.

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A NEW APPROACH FOR STABILIZATION OF NONSTENDAD SINGULARLY PERTYRBED SYSTEMS

  • Xu, Hua;Mukaidani, Hiroaki;Mizukami, Koichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.99-102
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    • 1995
  • In this paper, we consider the stabilization problem of nonstandard singularly perturbed systems by using state feedback. Different fro the existing sequenetial designn procedures, we propose a parallel design method to construct the stabilizing controller. The method involves solving two completely independent algebraic Riccati equations.

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A Fixed Point Approach to the Stability of Quadratic Equations in Quasi Normed Spaces

  • Mirmostafaee, Alireza Kamel
    • Kyungpook Mathematical Journal
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    • v.49 no.4
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    • pp.691-700
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    • 2009
  • We use the fixed alternative theorem to establish Hyers-Ulam-Rassias stability of the quadratic functional equation where functions map a linear space into a complete quasi p-normed space. Moreover, we will show that the continuity behavior of an approximately quadratic mapping, which is controlled by a suitable continuous function, implies the continuity of a unique quadratic function, which is a good approximation to the mapping. We also give a few applications of our results in some special cases.

A Study on System Identification using Haar Functions (Haar함수를 이용한 시스템 동정에 관한 연구)

  • 안두수;채영무;이명규
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.36 no.4
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    • pp.287-292
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    • 1987
  • This paper deals with applications of Haar functions to parameter identification of linear systems. It is first introuduced to a new operational matrix which relates Haar functions and their integrations. The matrix can be used to identify the parameters of unknown linear systems by a least squares estimation. And then, the state equation of given systems is transformed into a computationally convenient algebraic form. This approach provides a more efficient method for the system identification problem.

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A Pregroup Analysis of Japanese Causatives

  • Cardinal, Kumi
    • Proceedings of the Korean Society for Language and Information Conference
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    • 2007.11a
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    • pp.96-104
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    • 2007
  • We explore a computational algebraic approach to grammar via pregroups. We examine how the structures of Japanese causatives can be treated in the framework of a pregroup grammar. In our grammar, the dictionary assigns one or more syntactic types to each word and the grammar rules are used to infer types to strings of words. We developed a practical parser representing our pregroup grammar, which validates our analysis.

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