• 제목/요약/키워드: normal matrix

검색결과 785건 처리시간 0.031초

Dynamic load concentration caused by a break in a Lamina with viscoelastic matrix

  • Reza, Arash;Sedighi, Hamid M.;Soleimani, Mahdi
    • Steel and Composite Structures
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    • 제18권6호
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    • pp.1465-1478
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    • 2015
  • The effect of cutting off fibers on transient load in a polymeric matrix composite lamina was studied in this paper. The behavior of fibers was considered to be linear elastic and the matrix behavior was considered to be linear viscoelastic. To model the viscoelastic behavior of matrix, a three parameter solid model was employed. To conduct this research, finite difference method was used. The governing equations were obtained using Shear-lag theory and were solved using boundary and initial conditions before and after the development of break. Using finite difference method, the governing integro-differential equations were developed and normal stress in the fibers is obtained. Particular attention is paid the dynamic overshoot resulting when the fibers are suddenly broken. Results show that considering viscoelastic properties of matrix causes a decrease in dynamic load concentration factor and an increase in static load concentration factor. Also with increases the number of broken fibers, trend of increasing load concentration factor decreases gradually. Furthermore, the overshoot of load in fibers adjacent to the break in a polymeric matrix with high transient time is lower than a matrix with lower transient time, but the load concentration factor in the matrix with high transient time is lower.

Detection of Differentially Expressed Genes by Clustering Genes Using Class-Wise Averaged Data in Microarray Data

  • Kim, Seung-Gu
    • Communications for Statistical Applications and Methods
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    • 제14권3호
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    • pp.687-698
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    • 2007
  • A normal mixture model with which dependence between classes is incorporated is proposed in order to detect differentially expressed genes. Gene clustering approaches suffer from the high dimensional column of microarray expression data matrix which leads to the over-fit problem. Various methods are proposed to solve the problem. In this paper, use of simple averaging data within each class is proposed to overcome the various problems due to high dimensionality when the normal mixture model is fitted. Some experiments through simulated data set and real data set show its availability in actuality.

이중 K-평균 군집화 (Double K-Means Clustering)

  • 허명회
    • 응용통계연구
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    • 제13권2호
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    • pp.343-352
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    • 2000
  • K-평균 군집화(K-means clustering)는 비계층적 군집화 방법이 하나로서 큰 자료에서 개체 군집화에 효율적인 것으로 알려져 있다. 그러나 종종 비교적 균일한 대군집의 일부를 소군집에 떼어주는 오류를 범하기도 한다. 이 연구에서는 그러한 현상을 정확히 인지하고 이에 대한 대책으로서 ‘이중 K-평균 군집화(double K-means clustering)’방법을 제시한다. 또한 실증적 사례에 새 방법론을 적용해보고 토의한다.

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Expression and Prognostic Value of Matrix Metalloproteinase-7 in Colorectal Cancer

  • Yang, Bo;Su, Ke;Gao, Jianfei;Rao, Zhiguo
    • Asian Pacific Journal of Cancer Prevention
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    • 제13권3호
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    • pp.1049-1052
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    • 2012
  • The purpose of this study was to evaluate expression and prognostic value of matrix metalloproteinase-7 (MMP-7) in colorectal cancer (CRC) patients. CRC tissues and corresponding distal normal mucosa tissues of 118 CRC patients were assessed by immunohistochemistry. Correlations between MMP-7 expression, patients' clinic pathological features, and overall survival rate were analyzed. We found that positive expression of MMP-7 in CRC tissues was significantly higher than that in distal normal mucosa (61.0% vs. 39.8%, p =0.001). Poor histological differentiation, advanced clinical stage and lymph node metastasis were significantly correlated with MMP-7 expression in CRC. The overall survival rate was significantly higher in the MMP-7 negative group than the positive group (Log-rank test= 9.957, p= 0.002). MMP-7 appeared as a significant independent prognostic factor through multivariate survival analysis. Collectively, we found MMP-7 expression to be correlated with progression and metastasis of CRC and thus could be used as a predictive marker of prognosis in CRC patients.

샤시의 강성이 운전석 승차감에 미치는 영향 분석 (Effect of Chassis Flexibility on Ride Quality)

  • 김광석;유완석;이기호;김기태
    • 한국자동차공학회논문집
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    • 제4권2호
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    • pp.127-136
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    • 1996
  • Dynamic analysis of a three-axle heavy truck is carried out with rigid body model and flexible body model. To see the effects of chassis flexibility, the chassis is modeled as flexible body. The mass matrix, stiffness matrix, and vibration normal modes of the chassis are obtained by a finite element analysis program, and four vibration normal modes are used in the flexible body model. The vehicle model consisting of a frame, a cab, suspensions, an engine, a deck, a seat, and tires, has total 77 degrees of freedom. The result shows that the peaked acceleration in the flexible model is lower than that of the rigid body model.

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A QUESTION ON ⁎-REGULAR RINGS

  • Cui, Jian;Yin, Xiaobin
    • 대한수학회보
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    • 제55권5호
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    • pp.1333-1338
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    • 2018
  • A ${\ast}-ring$ R is called ${\ast}-regular$ if every principal one-sided ideal of R is generated by a projection. In this note, several characterizations of ${\ast}-regular$ rings are provided. In particular, it is shown that a matrix ring $M_n(R)$ is ${\ast}-regular$ if and only if R is regular and $1+x^*_1x_1+{\cdots}+x^*_{n-1}x_{n-1}$ is a unit for all $x_i$ of R; which answers a question raised in the literature recently.

Extensions of Strongly α-semicommutative Rings

  • Ayoub, Elshokry;Ali, Eltiyeb;Liu, ZhongKui
    • Kyungpook Mathematical Journal
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    • 제58권2호
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    • pp.203-219
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    • 2018
  • This paper is devoted to the study of strongly ${\alpha}-semicommutative$ rings, a generalization of strongly semicommutative and ${\alpha}-rigid$ rings. Although the n-by-n upper triangular matrix ring over any ring with identity is not strongly ${\bar{\alpha}}-semicommutative$ for $n{\geq}2$, we show that a special subring of the upper triangular matrix ring over a reduced ring is strongly ${\bar{\alpha}}-semicommutative$ under some additional conditions. Moreover, it is shown that if R is strongly ${\alpha}-semicommutative$ with ${\alpha}(1)=1$ and S is a domain, then the Dorroh extension D of R by S is strongly ${\bar{\alpha}}-semicommutative$.

ON THE NONLINEAR MATRIX EQUATION $X+\sum_{i=1}^{m}A_i^*X^{-q}A_i=Q$(0<q≤1)

  • Yin, Xiaoyan;Wen, Ruiping;Fang, Liang
    • 대한수학회보
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    • 제51권3호
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    • pp.739-763
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    • 2014
  • In this paper, the nonlinear matrix equation $$X+\sum_{i=1}^{m}A_i^*X^{-q}A_i=Q(0<q{\leq}1)$$ is investigated. Some necessary conditions and sufficient conditions for the existence of positive definite solutions for the matrix equation are derived. Two iterative methods for the maximal positive definite solution are proposed. A perturbation estimate and an explicit expression for the condition number of the maximal positive definite solution are obtained. The theoretical results are illustrated by numerical examples.

Effects of Matrix Ductility on the Shear Performance of Precast Reinforced HPFRCC Coupling Beams

  • Yun Hyun-Do;Kim Sun-Woo;Jeon Esther;Park Wan Shin
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2005년도 추계 학술발표회 제17권2호
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    • pp.53-56
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    • 2005
  • This paper investigates the effect of ductile deformation behavior of high performance hybrid fiber-reinforced cement composites (HPHFRCCs) on the shear behavior of coupling beams to lateral load reversals. The matrix ductility and the reinforcement layout were the main variables of the tests. Three short coupling beams with two different reinforcement arrangements and matrixes were tested. They were subjected to cyclic loading by a suitable experimental setup. All specimens were characterized by a shear span-depth ratio of 1.0. The reinforcement layouts consisted of a classical scheme and diagonal scheme without confining ties. The effects of matrix ductility on deflections, strains, crack widths, crack patterns, failure modes, and ultimate shear load of coupling beams have been examined. The combination of a ductile cementitious matrix and steel reinforcement is found to result in improved energy dissipation capacity, simplification of reinforcement details, and damage-tolerant inelastic deformation behavior. Test results showed that the HPFRCC coupling beams behaved better than normal reinforced concrete control beams. These results were produced by HPHFRCC's tensile deformation capacity, damage tolerance and tensile strength.

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패턴인식을 이용한 초음파 화상의 진단 (Ultrasonic image diagnosis using pattern recognition)

  • 최광철;김선일;이두수
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1991년도 추계학술대회
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    • pp.57-60
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    • 1991
  • A new approach to texture classification for ultrasound liver diagnosis using run difference matrix was developed. The run difference matrix consists of the gray level difference along with distance. From this run difference matrix, we defined several parameters such as LDE, LDEL, NUF, SMO, SMG, SHP etc. and three vectors namely DOD, DGD and DAD. Each parameter value calculated in fatty cirrhotic, chronic hepatitic and normal liver mage was plotted in two dimensional plane. We compared our results with run length method. There are several advantages of run difference matrix method over the run lengths. 1) It is more sensitive to small difference of gray level distribution. 2) The parameters provide more statistically significant value. Images were classified with the extracted parameters to each diseases using neural networks. In preliminary clinical exprements, this approach showed satisfying results.

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