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The principal matrix required for the applicability of the method of initial values is presented.
The fundamental matrix required for the initial value method is obtained analytically.
The posterior uncertainty of the model parameters can also be derived analytically and the computational difficulty in estimating the inverse of the high dimensional Hessian matrix required for specifying the covariance matrix is also properly tackled.
Novel aliphatic polyurethane (PU) nanohybrids have been prepared using varying amount of graphene by dispersing it in the early stage of polymerization (in situ) and achieved uniform distribution throughout the matrix, required for the improvement of properties.
where E is permutation matrix required for numerical stability [22].
where denoThe the motinitialse and the length of the measurement information
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The results provide a rational basis for the determination of the mechanical properties of collagen matrices required for engineering certain connective tissues.
The proposed consistent 2D and 3D interface finite element formulations for large displacements account for both the mechanical and the geometrical tangent stiffness matrices, required for implicit solution schemes.
For badly shaped elements the construction of the projection matrices required for assembling the local coefficients of the linear system within the VEM discretization of Partial Differential Equations can result very ill conditioned.
This would make it intractable to derive the ML estimators of the covariance matrices, required for the generalized likelihood ratio test (GLRT).
For instance, it has been suggested that retinal astrocytes mediate extracellular assembly of fibronectin matrices required for vessel growth [40].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com