• Title/Summary/Keyword: canonical form

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An Analytical Study on the Stem-Growth by the Principal Component and Canonical Correlation Analyses (주성분(主成分) 및 정준상관분석(正準相關分析)에 의(依)한 수간성장(樹幹成長) 해석(解析)에 관(關)하여)

  • Lee, Kwang Nam
    • Journal of Korean Society of Forest Science
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    • v.70 no.1
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    • pp.7-16
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    • 1985
  • To grasp canonical correlations, their related backgrounds in various growth factors of stem, the characteristics of stem by synthetical dispersion analysis, principal component analysis and canonical correlation analysis as optimum method were applied to Larix leptolepis. The results are as follows; 1) There were high or low correlation among all factors (height ($x_1$), clear height ($x_2$), form height ($x_3$), breast height diameter (D. B. H.: $x_4$), mid diameter ($x_5$), crown diameter ($x_6$) and stem volume ($x_7$)) except normal form factor ($x_8$). Especially stem volume showed high correlation with the D.B.H., height, mid diameter (cf. table 1). 3) (1) Canonical correlation coefficients and canonical variate between stem volume and composite variate of various height growth factors ($x_1$, $x_2$ and $x_3$) are ${\gamma}_{u1,v1}=0.82980^{**}$, $\{u_1=1.00000x_7\\v_1=1.08323x_1-0.04299x_2-0.07080x_3$. (2) Those of stem volume and composite variate of various diameter growth factors ($x_4$, $x_5$ and $x_6$) are ${\gamma}_{u1,v1}=0.98198^{**}$, $\{{u_1=1.00000x_7\\v_1=0.86433x_4+0.11996x_5+0.02917x_6$. (3) And canonical correlation between stem volume and composite variate of six factors including various heights and diameters are ${\gamma}_{u1,v1}=0.98700^{**}$, $\{^u_1=1.00000x_7\\v1=0.12948x_1+0.00291x_2+0.03076x_3+0.76707x_4+0.09107x_5+0.02576x_6$. All the cases showed the high canonical correlation. Height in the case of (1), D.B.H. in that of (2), and the D.B.H, and height in that of (3) respectively make an absolute contribution to the canonical correlation. Synthetical characteristics of each qualitative growth are largely affected by each factor. Especially in the case of (3) the influence by the D.B.H. is the most significant in the above six factors (cf. table 2). 3) Canonical correlation coefficient and canonical variate between composite variate of various height growth factors and that of the various diameter factors are ${\gamma}_{u1,v1}=0.78556^{**}$, $\{u_1=1.20569x_1-0.04444x_2-0.21696x_3\\v_1=1.09571x_4-0.14076x_5+0.05285x_6$. As shown in the above facts, only height and D.B.H. affected considerably to the canonical correlation. Thus, it was revealed that the synthetical characteristics of height growth was determined by height and those of the growth in thickness by D.B.H., respectively (cf. table 2). 4) Synthetical characteristics (1st-3rd principal component) derived from eight growth factors of stem, on the basis of 85% accumulated proportion aimed, are as follows; Ist principal component ($z_1$): $Z_1=0.40192x_1+0.23693x_2+0.37047x_3+0.41745x_4+0.41629x_5+0.33454x_60.42798x_7+0.04923x_8$, 2nd principal component ($z_2$): $z_2=-0.09306x_1-0.34707x_2+0.08372x_3-0.03239x_4+0.11152x_5+0.00012x_6+0.02407x_7+0.92185x_8$, 3rd principal component ($z_3$): $Z_3=0.19832x_1+0.68210x_2+0.35824x_3-0.22522x_4-0.20876x_5-0.42373x_6-0.15055x_7+0.26562x_8$. The first principal component ($z_1$) as a "size factor" showed the high information absorption power with 63.26% (proportion), and its principal component score is determined by stem volume, D.B.H., mid diameter and height, which have considerably high factor loading. The second principal component ($z_2$) is the "shape factor" which indicates cubic similarity of the stem and its score is formed under the absolute influence of normal form factor. The third principal component ($z_3$) is the "shape factor" which shows the degree of thickness and length of stem. These three principal components have the satisfactory information absorption power with 88.36% of the accumulated percentage. variance (cf. table 3). 5) Thus the principal component and canonical correlation analyses could be applied to the field of forest measurement, judgement of site qualities, management diagnoses for the forest management and the forest products industries, and the other fields which require the assessment of synthetical characteristics.

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Variable Structure Control Design Based on Eigenvalues Assignment of Sliding Mode (슬라이딩 모드 고유치 설정에 기반을 둔 가변구조 제어 설계)

  • Hong, Yeon-Chan;Lee, Tae-Bong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.6
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    • pp.2207-2213
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    • 2010
  • A new scheme for variable structure control design which is based on eigenvalues assignment of sliding mode is developed. In conventional methods, generally, specific type of system matrix like canonical or regular form is required to construct a switching surface. Furthermore, the methods are not explicit. The new method in this paper solved the problems. No special type of system matrix is required and very explicit. It is shown that the switching surface can be constructed and determined uniquely without any dependency on the system form. The proposed method is based on the fact that the dynamics of sliding mode is determined by system zeros. Finally, a numerical example is given to verify the validity of the results studied in this paper.

Multi-modal Vibration Control of Intelligent Laminated Composite Plates Using System Identification and Optimal Control (시스템식별과 최적제어를 이용한 지능형 복합적층판의 다중보드 진동제어)

  • 김정수;강영규;박현철
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.1
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    • pp.5-11
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    • 2002
  • Active vibration control of intelligent laminated composite plates is performed experimental1y Laminated composite place is modeled by the system identification method. For the system identification process, the laminated composite place is excited by two piezoelectric actuators with PRBS signals. At the same time, the displacement of the laminated composite plate is measured by a gap sensor. From these excited PRBS signals and the measured displacement sequence, system parameters of the laminated composite plate are estimated using a recursive prediction error method. Model of the laminated composite plate with two piezoeletric actuators is assumed to be the form of ARMAX. From the estimated ARHMAX model, a state space equation of the observable canonical form is obtained. With this state space equation, a controller and an observer for active vibration control is designed using the optimal control method. Controller and observer are implemented on a digital system. Experiments on the vibration control are Performed with changing the outer layer fiber orientation of intelligent composite plates.

Optimization of Pipelined Discrete Wavelet Packet Transform Based on an Efficient Transpose Form and an Advanced Functional Sharing Technique

  • Nguyen, Hung-Ngoc;Kim, Cheol-Hong;Kim, Jong-Myon
    • Journal of Information Processing Systems
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    • v.15 no.2
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    • pp.374-385
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    • 2019
  • This paper presents an optimal implementation of a Daubechies-based pipelined discrete wavelet packet transform (DWPT) processor using finite impulse response (FIR) filter banks. The feed-forward pipelined (FFP) architecture is exploited for implementation of the DWPT on the field-programmable gate array (FPGA). The proposed DWPT is based on an efficient transpose form structure, thereby reducing its computational complexity by half of the system. Moreover, the efficiency of the design is further improved by using a canonical-signed digit-based binary expression (CSDBE) and advanced functional sharing (AFS) methods. In this work, the AFS technique is proposed to optimize the convolution of FIR filter banks for DWPT decomposition, which reduces the hardware resource utilization by not requiring any embedded digital signal processing (DSP) blocks. The proposed AFS and CSDBE-based DWPT system is embedded on the Virtex-7 FPGA board for testing. The proposed design is implemented as an intellectual property (IP) logic core that can easily be integrated into DSP systems for sub-band analysis. The achieved results conclude that the proposed method is very efficient in improving hardware resource utilization while maintaining accuracy of the result of DWPT.

Molecular Dynamics Study of [C10mim][Br] Aggregation (분자동역학을 이용한 [C10mim][Br] 의 응집에 관한 연구)

  • Yoon, Hong-Min;Lee, Joon-Sang
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.36 no.8
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    • pp.873-876
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    • 2012
  • Ionic liquids (ILs) existing in the liquid ion form under standard conditions show a unique properties. 1-10-Alkyl-3-methyl-imidazolium bromide ([C10mim][Br]) is one of the ILs that shows amphiphilic characteristics under specific conditions. This property enables it to function as a surfactant, and therefore, it finds applications in a wide range of areas. In this study, we tried to predict the behavior, especially the aggregation aspect, of [C10mim][Br] in an aqueous solution using molecular dynamics (MD) simulations. The canonical (NVT) ensemble was used to relax the system and trace the trajectory of atoms. Several case studies were simulated and the interaction among [C10mim]+, [Br]-, and water was analyzed using the radial distribution function of each atom. The density distribution function was also used for the structural analysis of the entire system. We used the Large-scale Atomic/Molecular Massively Parallel Simulator (LAMMPS) code for the present MD simulations.

State Feedback Linearization of Discrete-Time Nonlinear Systems via T-S Fuzzy Model (T-S 퍼지모델을 이용한 이산 시간 비선형계통의 상태 궤환 선형화)

  • Kim, Tae-Kue;Wang, Fa-Guang;Park, Seung-Kyu;Yoon, Tae-Sung;Ahn, Ho-Kyun;Kwak, Gun-Pyong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.6
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    • pp.865-871
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    • 2009
  • In this paper, a novel feedback linearization is proposed for discrete-time nonlinear systems described by discrete-time T-S fuzzy models. The local linear models of a T-S fuzzy model are transformed to a controllable canonical form respectively, and their T-S fuzzy combination results in a feedback linearizable Tagaki-Sugeno fuzzy model. Based on this model, a nonlinear state feedback linearizing input is determined. Nonlinear state transformation is inferred from the linear state transformations for the controllable canonical forms. The proposed method of this paper is more intuitive and easier to understand mathematically compared to the well-known feedback linearization technique which requires a profound mathematical background. The feedback linearizable condition of this paper is also weakened compared to the conventional feedback linearization. This means that larger class of nonlinear systems is linearizable compared to the case of classical linearization.

Saving Lives by Curing the World in Daesoon Jinrihoe, Religious Healing, and its Relations to Daoist Thought (大巡「济生医世」宗教救治特色及其与道教思想關係探微)

  • Gai, Jianmin;Liu, Haoran
    • Journal of the Daesoon Academy of Sciences
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    • v.34
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    • pp.27-48
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    • 2020
  • "Saving lives by curing the world is the way of sages" is one of the key concepts from Daesoon Jinrihoe's The Canonical Scripture. In the Daoist scripture, The Most Excellent and Marvelous Lingbao Scripture of Limitless Salvation (The Salvation Scripture for short), a similar idea of 'saving the world and liberating lives' can be found, and it parallels the idea of religious healing in Daesoon Jinrihoe. Both systems of thought are internally consistent and focus on the individual living being as well as society by taking aim at curing human diseases while solving societal problems. Both sources also took influence from earlier Daoist Thought that responded to The Book of Changes, extended their innovations to traditional medicine, and realized the usefulness of religious healing. Although the two developed in different countries and time periods, their ideological similarities can still be appreciated. This paper delves into the above topic via three aspects: first, analyzing the historical background that produced Daesoon Jinrhoe's concept of "Saving Lives and Curing the World" while covering both individual and societal applications, second, examining the methods of implementing "Saving Lives and Curing the World" as a form of religious healing, and third, comparing the philosophical similarities between Daesoon Jinrihoe's "Saving Lives and Curing the World" and Lingbao Daoism's The Salvation Scripture in terms of their religious thought.

GENERATING NEW FRAMES IN $L^2(\mathbb{R})$ BY CONVOLUTIONS

  • Kwon, Kil-Hyun;Lee, Dae-Gwan;Yoon, Gang-Joon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.15 no.4
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    • pp.319-328
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    • 2011
  • Let $\mathbf{c}=\{c_n\}_{n{\in}\mathbb{Z}}\in{\ell}^1(\mathbb{Z})$ and $\{f_n\}_{n{\in}\mathbb{Z}}$ be a frame (Riesz basis, respectively) of $L^2(\mathbb{R})$. We obtain necessary and sufficient conditions of $\mathbf{c}$ under which $\{\mathbf{c}{\ast}_{\lambda}f_n\}_{n{\in}\mathbb{Z}}$ becomes a frame (Riesz basis, respectively) of $L^2(\mathbb{R})$, where ${\lambda}$ > 0 and $(\mathbf{c}{\ast}_{\lambda}f)(t)\;:=\;{\sum}_{n{\in}\mathbb{Z}}c_nf(t-n{\lambda})$. When $\{\mathbf{c}{\ast}_{\lambda}f_n\}_{n{\in}\mathbb{Z}}$ becomes a frame of $L^2(\mathbb{R})$, we present its frame operator and the canonical dual frame in a simple form. Some interesting examples are included.

Rules for functional microRNA targeting

  • Kim, Doyeon;Chang, Hee Ryung;Baek, Daehyun
    • BMB Reports
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    • v.50 no.11
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    • pp.554-559
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    • 2017
  • MicroRNAs (miRNAs) are ~22nt-long single-stranded RNA molecules that form a RNA-induced silencing complex with Argonaute (AGO) protein to post-transcriptionally downregulate their target messenger RNAs (mRNAs). To understand the regulatory mechanisms of miRNA, discovering the underlying functional rules for how miRNAs recognize and repress their target mRNAs is of utmost importance. To determine functional miRNA targeting rules, previous studies extensively utilized various methods including high-throughput biochemical assays and bioinformatics analyses. However, targeting rules reported in one study often fail to be reproduced in other studies and therefore the general rules for functional miRNA targeting remain elusive. In this review, we evaluate previously-reported miRNA targeting rules and discuss the biological impact of the functional miRNAs on gene-regulatory networks as well as the future direction of miRNA targeting research.

Symbolic Algorithm for a System of Differential-Algebraic Equations

  • Thota, Srinivasarao;Kumar, Shiv Datt
    • Kyungpook Mathematical Journal
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    • v.56 no.4
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    • pp.1141-1160
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    • 2016
  • In this paper, a symbolic algorithm for solving a regular initial value problem (IVP) for a system of linear differential-algebraic equations (DAEs) with constant coeffcients has been presented. Algebra of integro-differential operators is employed to express the given system of DAEs. We compute a canonical form of the given system which produces another simple equivalent system. Algorithm includes computing the matrix Green's operator and the vector Green's function of a given IVP. Implementation of the proposed algorithm in Maple is also presented with sample computations.