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The stiffness matrix and mass matrix are derived, and the structural dynamics is modeled.
Computational equations for the dynamic condensation matrix are derived for each of definitions.
First, closed-form solutions for the stresses in the two types of fibers and the matrix are derived.
For this model, the maximum likelihood estimates (MLEs) of the parameters, as well as the Fisher information matrix, are derived.
Five possible orientation relationships OR1 to OR5 of icosahedral quasicrystal with magnesium matrix are derived and experimental evidences are shown.
In an effort to implement the fast inversion, the closed-form expressions of the Jacobian matrix are derived based on Truncated Region Eigenfunction Expansion (TREE) modeling.
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In addition, an associated consistent tangent matrix is derived.
The encoder generator matrix is derived from the inverse of portion of parity check matrix.
An exact dynamic stiffness matrix is derived, which is used in finite element (FE) analysis.
By using the homogenization method, the elasticity tensors are calculated and its compliance matrix is derived.
A sharper upper bound on the determinant of the related matrix is derived.
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CEO of Professional Science Editing for Scientists @ prosciediting.com