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    Research on Modeling and Solving of Shield Tunneling Posture based on Homogeneous Transformation Matrix by Qiang Zhang, Dongchen Qin, Peng Zhou, Qiang Zhu, Jiangyi Chen

    Published 2021-02-01
    “…Then, the corresponding poses are solved according to the mapping relationship between the elements of the homogeneous transformation matrix and the poses. According to the constraints of the length of each hydraulic cylinder rod, the mathematical model of the inverse posture solution is established, and the positive and negative solutions of the posture are solved in Matlab. …”
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  16. 176

    ORTHOGONAL REPRESENTATION OF THE PROPER TRANSFORMATION OF A PERSYMMETRIC MATRIX BASED ON ROTATION OPERATORS by V. M. Demko

    Published 2018-03-01
    “…The mathematical substantiation of the algorithm for synthesis of the proper transformation and finding the eigenvalue formulae of a persymmetric matrix of dimension N = 2 k ( k =1, 4 ) based on orthogonal rotation operators is given. …”
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    On Solutions of the Matrix Equation A∘lX = B with respect to MM-2 Semitensor Product by Jin Wang

    Published 2021-01-01
    “…MM-2 semitensor product is a new and very useful mathematical tool, which breaks the limitation of traditional matrix multiplication on the dimension of matrices and has a wide application prospect. …”
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