Sentence examples for matrix representation with from inspiring English sources

Table 2 shows a comparative example of bitmap-based sparse matrix representation with 8 vertices and 4 edges.

These include: (1) the distributed parameter population balance model (DP-PBM), (2) the lumped parameter population balance model (LP-PBM), (3) matrix representation with off-line computed matrix elements, (4) local linear models, (5) reduced order models using balanced truncating and methods of moment.

Well known split-based supertree methods are matrix representation with parsimony and matrix representation with compatibility.

Two matrix-based methods were initially used for supertree construction: Standard Matrix Representation with Parsimony (MRP [ 29, 30]), and Matrix Representation with Compatibility (MRC [ 31]).

Recently, a new approach for supertree reconstruction was proposed: matrix representation with likelihood (MRL) [ 7].

The E. coli - Shigella reference tree was constructed using matrix representation with parsimony (MRP) [ 31].

Consider the matrix representation of with respect to the decomposition : Let be the orthogonal projection of onto.

A matrix representation of operators with respect to a nice wavelet base plays an important role in the formulation.

Proof Consider the matrix representation of T with respect to the decomposition H = ran ( T k ) ¯ ⊕ ker T ∗ k : T = ( T 1 T 2 0 T 3 ).

As L(x j ) is a scalar multiple of x j plus lower-order terms (1 ≤ j ≤ n), we see that the matrix representation of L, with respect to the standard basis B n = {1, x,..., x n }, is upper triangular and the eigenvalues are the coefficients of x j in L(x j ) (1 ≤ j ≤ n).

In terms of matrix representation, Therefore, two strings with l mismatching characters have Hamming distance equal to l.