• Title/Summary/Keyword: matrix application

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Development of a quasi-dynamic origin/destination matrix estimation model by using PDA and its application (통행 단말기 정보를 이용한 동적 기종점 통행량 추정모형 개발 및 적용에 관한 연구)

  • Lim, Yong-Taek;Choo, Sang-Ho;Kang, Min-Gu
    • Journal of Korean Society of Transportation
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    • v.26 no.6
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    • pp.123-132
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    • 2008
  • Dynamic origin-destination (OD) trip matrix has been widely used for transportation fields such as dynamic traffic assignment, traffic operation and travel demand management, which needs precise OD trip matrix to be collected. This paper presents a quasi-dynamic OD matrix estimation model and applies it to real road network for collecting the dynamic OD matrix. The estimation model combined with dynamic traffic assignment program, DYNASMART-P, is based on GPS embedded in PDA, which developed for collecting sample dynamic OD matrix. The sample OD matrix should be expanded by the value of optimal sampling ratio calculated from minimization program. From application to real network of Jeju, we confirm that the model and its algorithm produce a reasonable solution.

A simple method of stiffness matrix formulation based on single element test

  • Mau, S.T.
    • Structural Engineering and Mechanics
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    • v.7 no.2
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    • pp.203-216
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    • 1999
  • A previously proposed finite element formulation method is refined and modified to generate a new type of elements. The method is based on selecting a set of general solution modes for element formulation. The constant strain modes and higher order modes are selected and the formulation method is designed to ensure that the element will pass the basic single element test, which in turn ensures the passage of the basic patch test. If the element is to pass the higher order patch test also, the element stiffness matrix is in general asymmetric. The element stiffness matrix depends only on a nodal displacement matrix and a nodal force matrix. A symmetric stiffness matrix can be obtained by either modifying the nodal displacement matrix or the nodal force matrix. It is shown that both modifications lead to the same new element, which is demonstrated through numerical examples to be more robust than an assumed stress hybrid element in plane stress application. The method of formulation can also be used to arrive at the conforming displacement and hybrid stress formulations. The convergence of the latter two is explained from the point of view of the proposed method.

Study of bone healing pattern in extraction socket after application of demineralized dentin matrix material (자가치아 뼈 이식재의 발치와내 이식 후 골 치유 양상에 관한 연구)

  • Chung, Jae-Ho;Lee, Jae-Hoon
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • v.37 no.5
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    • pp.365-374
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    • 2011
  • Introduction: Research on dental bone graft material has been actively conducted. Recently, demineralized dentin matrix material has been developed and introduced. This study examined the effect of demineralized dentin matrix material on bone healing. Subjects and Methods: The patients who received no treatment after extraction were used as the control group and patients who underwent demineralized dentin matrix material application in the extraction socket after extraction were used as the experimental group. Panorama radiography was performed at the baseline and at 3.5 months after graft material placement and CT was taken at 3.5 months after graft material placement for a radiologic evaluation. Bony tissue specimens were collected from the alveolar crest in the middle of the extraction socket using a 2 mm trephine bur after 3.5 months for the histology and hostomorphometric study. Results: 1. On the panoramic view, a higher bone density was observed in the subject group. 2. On the panoramic view, the bone density increased significantly in the extraction socket, from the baseline to 3.5 months: a 7 and 10 gray-level scale was observed in the control and experimental group, respectively (P<0.05). 3. The CT view evaluation at 3.5 months revealed significantly higher bone density in the subject group than the control group (P<0.05). 4. The histological findings showed more active new bone and lamellar bone formation in the subject group. Dentin with osteoinduction ability and enamel with osteoconduction ability appeared. 5. On histomorphometric analysis, the subject group showed significantly more new bone, lamellar bone area and lower soft tissue area (P<0.05). The difference between the groups was significant (P<0.05). Conclusion: Bone healing was improved after the application of demineralized dentin matrix material and there was active new bone and lamellar bone formation.

Polynomial matrix decomposition in the digital domain and its application to MIMO LBR realizations (디지탈 영역에서의 다항식 행렬의 분해와 MIMO LBR 구현에의 응용)

  • 맹승주;임일택;이병기
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.1
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    • pp.115-123
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    • 1997
  • In this paper we present a polynomial matrix decomposition algorithm that determines a polynomial matix M(z) which satisfies the relation V(z)=M(z) for a given polynomial matrix V(z) which is paraconjugate hermitian matrix with normal rank r and is positive semidenfinite on the unit circle of z-plane. All the decomposition procedures in this proposed method are performed in the digitral domain. We also discuss how to apply the polynomial matirx decomposition in realizing MIMO LBR two-pairs.

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Dynamic interaction analysis of vehicle-bridge system using transfer matrix method

  • Xiang, Tianyu;Zhao, Renda
    • Structural Engineering and Mechanics
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    • v.20 no.1
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    • pp.111-121
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    • 2005
  • The dynamic interaction of vehicle-bridge is studied by using transfer matrix method in this paper. The vehicle model is simplified as a spring-damping-mass system. By adopting the idea of Newmark-${\beta}$ method, the partial differential equation of structure vibration is transformed into a differential equation irrelevant to time. Then, this differential equation is solved by transfer matrix method. The prospective application of this method in real engineering is finally demonstrated by several examples.

An Application of Absolute Matrix Summability using Almost Increasing and δ-quasi-monotone Sequences

  • Ozarslan, Hikmet Seyhan
    • Kyungpook Mathematical Journal
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    • v.59 no.2
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    • pp.233-240
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    • 2019
  • In the present paper, absolute matrix summability of infinite series is studied. A new theorem concerning absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series, is proved using almost increasing and ${\delta}$-quasi-monotone sequences. Also, a result dealing with absolute $Ces{\grave{a}}ro$ summability is given.

Some New Results on Seidel Equienergetic Graphs

  • Vaidya, Samir K.;Popat, Kalpesh M.
    • Kyungpook Mathematical Journal
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    • v.59 no.2
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    • pp.335-340
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    • 2019
  • The energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacency matrix of G. Some variants of energy can also be found in the literature, in which the energy is defined for the Laplacian matrix, Distance matrix, Commonneighbourhood matrix or Seidel matrix. The Seidel matrix of the graph G is the square matrix in which $ij^{th}$ entry is -1 or 1, if the vertices $v_i$ and $v_j$ are adjacent or non-adjacent respectively, and is 0, if $v_i=v_j$. The Seidel energy of G is the sum of the absolute values of the eigenvalues of its Seidel matrix. We present here some families of pairs of graphs whose Seidel matrices have different eigenvalues, but who have the same Seidel energies.

A Study on Beam Error Method of Coherent Interference Signal Estimation using Optimum Covariance Weight Vector (최적 공분산 가중 벡터를 이용한 상관성 간섭 신호 추정의 빔 지향 오차)

  • Cho, Sung Kuk;Lee, Jun Dong;Jeon, Byung Kook
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.10 no.4
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    • pp.53-61
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    • 2014
  • In this paper, we proposed covariance weight matrix using SPT matrix in order to accurate target estimation. We have estimated a target using modified covariance matrix and beam steering error method. We have minimized beam steering error in order to estimation desired a target. This method obtain optimum covariance weight using modified SPT matrix. This paper of proposal method is showed good performance than general method. We updated a weight of covariance matrix using modified SPT matrix. We obtain optimum covariance matrix weight to application beam steering error method in order to beam steering toward desired target. Through simulation, we showed that compare proposal method with general method. It have improved resolution of estimation target to good performance more proposed method than general method.

TG Index, its Graphical Matrix Representation and Application on Polyenes

  • Gumus, Selcuk;Turker, Lemi
    • Bulletin of the Korean Chemical Society
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    • v.35 no.5
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    • pp.1413-1416
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    • 2014
  • A novel topological index (TG Index) has been introduced. The graphical matrix representation of the TG index includes the use of directed subgraphs for the first time in graph theory literature. The application of the TG index on certain properties of polyenes yielded very well correlation data.

A MATRIX FORMULATION OF THE TAU METHOD FOR FREDHOLM AND VOLTERRA LINEAR INTEGRO-DIFFERENTIAL EQUATIONS

  • Aliabadi, M.-Hosseini;Shahmorad, S.
    • Journal of applied mathematics & informatics
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    • v.9 no.2
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    • pp.667-677
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    • 2002
  • In this paper we obtain the matrix Tau Method representation of a general boundary value problem for Fredholm and Volterra integro-differential equations of order $\nu$. Some theoretical results are given that simplify the application of the Tau Method. The application of the Tau Method to the numerical solution of such problems is shown. Numerical results and details of the algorithm confirm the high accuracy and user-friendly structure of this numerical approach.