Sentence examples for matrix with each from inspiring English sources
Let M be the n × m node-link incidence matrix with each component given as follows.
A block-wise Toeplitz (circulant, diagonal) matrix is a block matrix with each matrix of Toeplitz (circulant, diagonal) shape.
The validated numerical model is used for formulating a three-factorial design matrix with each of the three independent variables considered at three different levels.
where u is a unitary matrix and Σ = diag{λ1,......,λMtMr} is a diagonal matrix with each diagonal entry given by a eigenvalue.
where Φ∈R p×n (pmatrix with each normalized column termed as atom, and e is a noise vector.
Obtain the mean vector: each column of step 2 forms a 1×25 matrix, with each cell containing the mean value for each linear column values (obtaining ). 4.
The method of local decomposition represents incidence matrices of a residual and a derived design of a symmetric design as block matrices with each block being a zero matrix or an incidence matrix of a smaller residual or derived design, respectively.
where Λt and Λc are, respectively, the diagonal matrices with each diagonal entry given by a real and nonnegative eigenvalue of and, Q is the unitary eigenvector matrix of and, and μ is a scalar constant that satisfies the transmitted power constraints.
Release of COU had a near zero-order release over the same time period, suggesting that coumarin analogs may be suitable for use in PLGA/polyethylene glycol or PLGA/polypropylene glycol matrices, with each having unique material properties while allowing tuneable drug release.
Specifically, we determined λi from 10,000 replicate projection matrices, with each element drawn from its corresponding likelihood distribution; confidence intervals for λi were taken as the range encompassing the central 95% of λi estimates.
In the Golden Spike datasets, numerous options in the Stage I analysis were examined, resulting in 152 different X matrices with each matrix corresponding to a different set of parameters in a Stage I analysis.
