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This work aims at developing an efficient method to compute the compliance due to a crack modeled as a flat ellipsoid of any shape in an infinite elastic matrix of arbitrary anisotropy (Eshelby problem) when no closed-form solution seems currently available.
Here the matrix can be a complex-valued matrix of arbitrary size.
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This work presents formulation, discretization, and optimization techniques, for fast computation of the shunt admittance matrix of arbitrary-shaped cables by discretizing the problem of the quasi-electrostatics using 2-D MoM.
The purpose of this note is to construct such a set for the cases n = 2, 3 and for the specific case of companion matrices of arbitrary dimension.
In mathematics, the kronecker product is an operation on two matrices of arbitrary size resulting in a block matrix [14].
Full 2×2 impedance matrices are included in the derivation of the reflection matrix of an arbitrary structural junction.
After studying different cataloguing methods in various libraries, Carvalho and Bernau decided that the best method for visual categorization needed to be based on "an associative matrix of systematically arbitrary connections".
In this paper we present a method for systematic construction of the stiffness matrix of an arbitrary spatial frame element by performing a series of elementary transformations.
Before proceeding, we need to define the signature matrix of an arbitrary real frame.
In the same manner, we can obtain an N×N symmetric matrix with ± 1's off-diagonal entries and zero diagonal from the Gram matrix of an arbitrary m×N frame.
For completeness, we also define the correlation matrix of an arbitrary vector a as: mathbf{R_{aa}} (k) = E left{ mathbf{a}(k) mathbf{a}^{T}(k) right}, (7).
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