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Chen and Liu (2004) simulation represents the effect of elastic modulus and Poisson's ratios in the transverse plane, using a square matrix with multiple carbon nanotubes.
After some algebraic manipulations, we will readily verify that our technique may be represented conveniently in vector form using a square matrix with real entries which, under suitable conditions, turns out to be an M-matrix, that is, a strictly diagonally dominant matrix with non-positive off-diagonal entries, and positive components in its main diagonal [27, 28].
Harrell's C index could theoretically be estimated with a weighted approach, but this can be computationally difficult because it requires weighting each pair by the pairwise sampling probabilities, i.e., using a square matrix of size N'(N'-1), where N' is the size of the case-cohort sample.
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As discussed in Section 3.1, we have opted for using a square mixing matrix, with little loss of generality.
The implemented Gaussian filter uses a square Kernel matrix of eight rows and eight columns with a standard deviation σ = 2.
As input we use a square root information matrix as maintained by our incremental smoothing and mapping (iSAM) algorithm.
Due to the requirement of a square matrix used in volume calculation in N-FINDR, the original image must be transformed to a (p – 1 -dimensional subspace by a dimensionality reduction method.
The operator tr is used to denote the trace of a square matrix.
The zero-forcing decoder is used because H s may not be a square matrix.
When is a square matrix, the number of individual submatrices is calculated using the following: (10).
(3). is a square matrix of size.
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