• Title, Summary, Keyword: representation type

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AN OPTIMIZATION APPROACH FOR COMPUTING A SPARSE MONO-CYCLIC POSITIVE REPRESENTATION

  • KIM, KYUNGSUP
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.20 no.3
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    • pp.225-242
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    • 2016
  • The phase-type representation is strongly connected with the positive realization in positive system. We attempt to transform phase-type representation into sparse mono-cyclic positive representation with as low order as possible. Because equivalent positive representations of a given phase-type distribution are non-unique, it is important to find a simple sparse positive representation with lower order that leads to more effective use in applications. A Hypo-Feedback-Coxian Block (HFCB) representation is a good candidate for a simple sparse representation. Our objective is to find an HFCB representation with possibly lower order, including all the eigenvalues of the original generator. We introduce an efficient nonlinear optimization method for computing an HFCB representation from a given phase-type representation. We discuss numerical problems encountered when finding efficiently a stable solution of the nonlinear constrained optimization problem. Numerical simulations are performed to show the effectiveness of the proposed algorithm.

NAP and Optimal Normal Basis of Type II and Efficient Exponentiation in $GF(2^n)$ (NAF와 타입 II 최적정규기저를 이용한 $GF(2^n)$ 상의 효율적인 지수승 연산)

  • Kwon, Soon-Hak;Go, Byeong-Hwan;Koo, Nam-Hun;Kim, Chang-Hoon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.1C
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    • pp.21-27
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    • 2009
  • We present an efficient exponentiation algorithm for a finite field $GF(2^n)$ determined by an optimal normal basis of type II using signed digit representation of the exponents. Our signed digit representation uses a non-adjacent form (NAF) for $GF(2^n)$. It is generally believed that a signed digit representation is hard to use when a normal basis is given because the inversion of a normal element requires quite a computational delay. However our result shows that a special normal basis, called an optimal normal basis (ONB) of type II, has a nice property which admits an effective exponentiation using signed digit representations of the exponents.

Variables Related to Children's Withdrawal and Aggression: Causal Effects of Rejection, Victimization, and Negative Representation by Parents and Peers (아동의 위축 및 공격성에 대한 관련변인들의 관계: 거부적 양육행동, 또래괴롭힘, 부정적 부모표상 및 부정적또래표상의 인과효과)

  • Kim, Kwee Yeon;Kim, Kyong Yeon
    • Korean Journal of Child Studies
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    • v.26 no.6
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    • pp.247-266
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    • 2005
  • Subjects of this study were 621 children selected from 5th and 6th grades of elementary schools in Pusan. Factors associated with parents and peers varied by type of peer maladjustment(aggressive type and withdrawn type, compared with a control group). Particularly, the level of factors associated with peers varied from the control group by peer maladjusted types(aggressive types and, withdrawn types). Causal relationships of parents' rejection, victimization, negative representation by parents and by peers on child?s maladjustment varied by behavior types. Negative representation of peers had a direct effect only on withdrawal. On the other hand, negative representation of peers had no effect on aggression. Victimization had a first total effect on both withdrawal and aggression.

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Descriptor Type Linear Parameter Dependent System Modeling And Control of Lagrange Dynamics

  • Kang, Jin-Shik
    • 제어로봇시스템학회:학술대회논문집
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    • pp.444-448
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    • 2003
  • In this paper, the Lagrange dynamics is studied. A state space representation of Lagrange dynamics and control algorithm based on the state feedback pole placement are presented. The state space model presented is descriptor type linear parameter dependent system. It is shown that the control algorithms based on the linear system theory can be applicable to the state space representation of Lagrange dynamics. To show that the linear system theory can be applicable to the state space representation of Lagrange dynamics, the LMI based regional pole-placement design algorithm is developed and present two examples.

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SOME ISOTROPIC CURVES AND REPRESENTATION IN COMPLEX SPACE ℂ3

  • Qian, Jinhua;Kim, Young Ho
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.963-975
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    • 2015
  • In this paper, we give a representation formula for an isotropic curve with pseudo arc length parameter and define the structure function of such curves. Using the representation formula and the Frenet formula, the isotropic Bertrand curve and k-type isotropic helices are characterized in the 3-dimensional complex space $\mathbb{C}^3$.

INTEGRAL REPRESENTATION OF SOME BLOCH TYPE FUNCTIONS IN ℂn

  • Choi, Ki Seong;Yang, Gye Tak
    • Journal of the Chungcheong Mathematical Society
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    • v.10 no.1
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    • pp.17-22
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    • 1997
  • Let B be the open unit ball in the complex space $\mathbb{C}^n$. A holomorphic function $f:B{\rightarrow}C$ which satisfies sup{(1- ${\parallel}\;{\nabla}_zf\;{\parallel}\;{\mid}z{\in}B$} < $+{\infty}$ is called Bloch type function. In this paper, we will find some integral representation of Bloch type functions.

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A Study on the Types of Design Problem Solving by Analogical Thinking - Focused on the Analysis of Associated Words and Sketch - (유추적 사고에 의한 디자인 문제해결의 유형 - 연상된 단어와 스케치 분석을 중심으로 -)

  • Choi, Eun-Hee;Choi, Yoon-Ah
    • Korean Institute of Interior Design Journal
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    • v.16 no.2
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    • pp.63-70
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    • 2007
  • Analogy in problem solving is similarity-based reasoning facilitated by verbal and visual operation. This similarity-based reasoning generally supports initial phase of idea search. Therefore, this study intends to infer the types of problem solving by tracing the analogy use of verbal and visual representation through a experimental research. According to the result of this research, the types of problem solving by analogy are classified into 'evolving', 'divergent', and 'poor conversion' type. Firstly, 'evolving type' is distinguished between 'combination type' associated different contents to develope a new design and 'transformation type' associated similar words and sketches to be continuously revised and developed. In these types usually structural analogy rather than surface analogy is used. Secondly, in 'divergent type' associated words or sketches are individually represented, and among them one design solution is selected. In this type usually surface analogy is used. Thirdly, in 'poor conversion type' interaction between verbal representation and visual representation does not go on smoothly, and the generation of idea is poor. In here surface analogy is mostly used. These findings could form the basis of skill development of idea generation and conversion in design education.

CERTAIN GENERALIZED OSTROWSKI TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS

  • Choi, Junesang;Set, Erhan;Tomar, Muharrem
    • Communications of the Korean Mathematical Society
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    • v.32 no.3
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    • pp.601-617
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    • 2017
  • We give a function associated with generalized Ostrowski type inequality and its integral representation for local fractional calculus. Then, using this function and its integral representation, we establish several inequalities of generalized Ostrowski type for twice local fractional differentiable functions. We also consider some special cases of the main results which are further applied to a concrete function to yield two interesting inequalities associated with two generalized means.

An Efficient Type Codec for Point Data in Lightweight Applications Scene Representation (LASeR)

  • Joung, Ye-Sun;Cha, Ji-Hun;Cheong, Won-Sik;Lim, Young-Kwon;Kim, Kyu-Heon
    • ETRI Journal
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    • v.27 no.6
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    • pp.818-821
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    • 2005
  • Recently, MPEG has opened activity to standardize scene representation for lightweight applications such as in mobile phones. The standard is named lightweight applications scene representation (LASeR) and can be applied to improve and make efficient rich media applications and services on mobile devices. In this standard, we proposed an efficient type codec for point data to maximize the bit efficiency of LASeR. In this paper, we describe the new method and the test results of the proposed scheme.

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