• Title/Summary/Keyword: MATRIX

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A New Sparse Matrix Analysis of DFT Similar to Element Inverse Jacket Transform (엘레멘트 인버스 재킷 변환과 유사한 DFT의 새로운 희소 행렬 분해)

  • Lee, Kwang-Jae;Park, Dae-Chul;Lee, Moon-Ho;Choi, Seung-Je
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.4C
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    • pp.440-446
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    • 2007
  • This paper addresses a new representation of DFT matrix via the Jacket transform based on the element inverse processing. We simply represent the inverse of the DFT matrix following on the factorization way of the Jacket transform, and the results show that the inverse of DFT matrix is only simply related to its sparse matrix and the permutations. The decomposed DFT matrix via Jacket matrix has a strong geometric structure that exhibits a block modulating property. This means that the DFT matrix decomposed via the Jacket matrix can be interpreted as a block modulating process.

λ Matrix for Evaluating an Incomplete Bloc Design (불완비블록계획법을 평가하기 위한 λ행렬)

  • Jang, Dae-Heung
    • The Korean Journal of Applied Statistics
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    • v.24 no.4
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    • pp.647-656
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    • 2011
  • Incidence matrix is a useful tool for presenting incomplete block designs; however, it is inadequate to use only an incidence matrix in examining whether a certain incomplete block design becomes a balanced incomplete block design or not. We can use a structural matrix as a useful tool to show whether a certain incomplete block design becomes a balanced incomplete block design or not. We propose an augmented incidence matrix and ${\lambda}$ matrix as another tools for evaluating incomplete block designs. Through the augmented incidenc matrix and ${\lambda}$ matrix, we can ascertain whether a certain incomplete block design becomes a balance incomplete block design or not.

Matrix Cracking and Delmaination in Laminated Composite Plates Due to Impact (적층복합판의 충격에 의한 모재균열 및 층간분리에 관한 연구)

  • Kim, Moon-Saeng;Park, Seung-Bum
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.2
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    • pp.317-326
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    • 1997
  • An investigation was performed to study the matrix cracking and delamination in laminated composite plates due to transverse impact. A model was developed for predicting the initiation of the matrix cracking and the shape and size of impact-induced delamination in laminated composite plates resulting from the ballistic impact. The model consists of a stress analysis and a failure analysis. A transient finite element analysis which was based on the higher-order shear deformation theory was adopted for calculating the stresses inside the laminated composite plates during impact. A failure analysis was used to predict the initial intraply matrix cracking and the shape and size of the interface delamination in the laminates. As a results, a shear matrix cracking which was governed by the transverse interlaminar shear stress occured at the middle layer near the midplane of laminates and a bending matrix cracking which was governed by the transverse inplane stress occured at the bottom layer near the surface of laminates. In a thick laminates, a shear matrix cracking generated first at the middle layer of laminates, but in a thin laminates, a bending matrix cracking generated first at the bottom layer of laminates.

Mechanical Properties of SiC Particulate Reinforced Mg Matrix Composites Fabricated by Melt Stirring Method (용탕교반법에 의한 SiC 입자강화 Mg기 복합재료의 기계적 특성)

  • Lim, Suk-Won;Choh, Takao;Park, Young-Jin
    • Journal of Korea Foundry Society
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    • v.13 no.5
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    • pp.441-449
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    • 1993
  • SiC particulate reinforced magnesium matrix composites were fabricated by melt stirring method. The effet of several factors on mechanical properties and the efficiency of melt stirring method from the viewpoint of these properties were investigated. The tensile strength increased and the elongation decreased with decrease of the particle size or the increase of the paticulate volume fraction for pure magnesium matrix and Mg-5%Zn alloy matrix composites. A longer stirring time improved the tensile strength of these composites. The tensile strength of Mg-5%Ca alloy matrix composites which shows no uniform paticulate distribution was a little lower than that of matrix alloy. Rapid solidification rate is preferred for the improved tensile strength of these composites. The pure magnesium matrix and Mg-5%Zn alloy matrix composites have tensile strength of about 400MPa. This value agrees with the tensile strength of some magnesium matrix composites fabricated by liquid infiltration method or powder metallurgy method at the same volume fraction of reinforcements of whisker or particle. Therefore, the melt stirring method which has the advantages of simple process is considered to be efficient in fabricating magnesium matrix composites.

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A Random Matrix Theory approach to correlation matrix in Korea Stock Market (확률행렬이론을 이용한 한국주식시장의 상관행렬 분석)

  • Kim, Geon-Woo;Lee, Sung-Chul
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.4
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    • pp.727-733
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    • 2011
  • To understand the stock market structure it is very important to extract meaningful information by analyzing the correlation matrix between stock returns. Recently there has been many studies on the correlation matrix using the Random Matrix Theory. In this paper we adopt this random matrix methodology to a single-factor model and we obtain meaningful information on the correlation matrix. In particular we observe the analysis of the correlation matrix using the single-factor model explains the real market data and as a result we confirm the usefulness of the single-factor model.

A Role of Fibronectin in the Extracellular Matrix during Chick Mvoblast Differentiation (계배 근원세포의 분화에서 Extracellular matrix내 fibronectin의 역할)

  • 문경엽;하두봉정진하강만식
    • The Korean Journal of Zoology
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    • v.38 no.1
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    • pp.78-86
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    • 1995
  • Our previous report has suggested that the decrease of fibronectin level during mvogenesis is due to the decreased Bvailabilitv of receptor (matrix assembly receptor) for 29-kDa fragment of fibronectin. In the present study, we demonstrate that G protein and adenvlate cvclase system are involved in the regulation of fibronectin matrix assembly and that when fibronectin level in extracellular matrix decreases, the postmitotic fusion-capable cells emerge more frequently from the proliferative population. This proposal is based on the following observations. (1) Cholers toxin, which increases intracellular CAMP, caused a decrease in the ability of mvoblasts to incorporate fibronectin into extracellular matrix. (2) Cholera toxin decreased the proliferation of mvoblasts and Induced the precocious fusion. (3) decAMP, which was found to induce the precocious fusion and decrease the proliferation of myoblasts, decreased the fibronectin level in extracellular matrix and matrix assembly receptor for fibronectin- (4) RGOS, whlh inhibits the incorporation of fibronectin into extracellular matrix, induced the precocious fusion and reduced the proliferaton of mvoblasts. These results suggest that CAMP regulates the fibronectin levels in extracellular matrix and that the alteration of fibronectin level is involved in regulation of the proliferation and differentiation of chick embryonic mvoblasts.

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Optimal Condition of Natural Silk 3D Matrix Production by Silkworm Spinning

  • Bae, Sung Min;Kweon, HaeYong;Jo, You-Young
    • International Journal of Industrial Entomology and Biomaterials
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    • v.35 no.2
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    • pp.83-88
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    • 2017
  • Silk is appealing materials for many biomedical applications involving tissue engineering and implantable devices, because of its biocompatibility, environmental stability, controlled proteolytic biodegradability and morphologic flexibility. Silk matrix is required for the treatment of a wide wound area, but the present silk matrix is made by the second processing, and thus, the labor and the cost are high. In this work, we investigated the optimal production condition of natural silk 3D matrix using the silkworms and invented Automatic Silk Matrix Making Machine (ASMMM) for natural silk 3D matrix production. As a result, we determined that optimal production condition for making A4 paper size natural silk 3D matrix was used Rough aquarelle paper on surface at $25^{\circ}C$ and 30 silkworm larvae. These results are expected to provide basic data for the efficient production of the natural silk 3D matrix, and it is suggested that the produced natural silk 3D matrix is useful as a medical biomaterials.

An Efficient Computing Method of the Orthogonal Projection Matrix for the Balanced Factorial Design

  • Kim, Byung-Chun;Park, Jong-Tae
    • Journal of the Korean Statistical Society
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    • v.22 no.2
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    • pp.249-258
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    • 1993
  • It is well known that design matrix X for any factorial design can be represented by a product $X = TX_o$ where T is replication matrix and $X_o$ is the corresponding balanced design matrix. Since $X_o$ consists of regular arrangement of 0's and 1's, we can easily find the spectral decomposition of $X_o',X_o$. Also using this we propose an efficient algorithm for computing the orthogonal projection matrix for a balanced factorial design.

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MATRIX TRANSFORMATIONS AND COMPACT OPERATORS ON THE BINOMIAL SEQUENCE SPACES

  • BISGIN, Mustafa Cemil
    • Korean Journal of Mathematics
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    • v.27 no.4
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    • pp.949-968
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    • 2019
  • In this work, we characterize some matrix classes concerning the Binomial sequence spaces br,s and br,sp, where 1 ≤ p < ∞. Moreover, by using the notion of Hausdorff measure of noncompactness, we characterize the class of compact matrix operators from br,s0, br,sc and br,s into c0, c and ℓ, respectively.

A Broadcasting Algorithm in Matrix Hypercubes (행렬 하이퍼큐브에 대한 방송 알고리즘)

  • 최선아;이형옥임형석
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.475-478
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    • 1998
  • The matrix hypercube MH(2,n) is the interconnection network which improves the network cost of the hypercube. In this paper, we propose an algorithm for one-to-all broadcasting in the matrix hypercube MH(2,n). The algorithm can broadcast a message to 22n nodes in O(n) time. The algorithm uses the rich structure of the matrix hypercubes and works by recursively partitioning the original matrix hypercubes into smaller matrix hypercubes.

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