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The Jacobian matrix is augmented to achieve a global similarity of human robot motion.
This matrix is augmented by a risk-free payoff (X_{0}), which is also non-redundant, so that, ({mathbf {X}}=(X_{0};;{mathbf {X}}_{r})') is an (N+1times S) matrix of non-redundant payoffs.
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Next, this inverse relationship matrix was augmented with the animals in the D set using Henderson's rules for setting up the inverse of the pedigree-based relationship matrix [ 12], which is justified in Additional file 1.
To be able to perform the correction on pixels located at the edges of the image, the amplitude and 3D information matrices are augmented by replicating rows and columns located at the edges of the matrix.
The Vandermonde-based matrix that is augmented with the identity matrix (systematic code) comprise the generator matrix of the code which is given by: (7).
In a time-varying scenario, the observation matrix X is augmented by a new column x ( n ) ∈ C M × 1 with every new snapshot n x ( n ) = A ( n ) · s ( n ) + w ( n ), (9).
In addition to running these trackers on all unfoldings in parallel and recombining the signal subspace estimate via (10) or (11), the only modification we have to apply to the matrix-based subspace tracking schemes is the following: as introduced at the beginning of this section, it is typically assumed that the observation matrix X is augmented by a new column x(n) with each new snapshot n.
In order to distinguish informative variables from uninformative, an experimental data matrix X (m × n) is augmented with a matrix of noisy variables, N. The noise matrix, N, contains the normally distributed random numbers of a small amplitude (m × n*).
In order to estimate the stability of the regression coefficients, a matrix, N (m × p), containing at least p=300 random variables, is augmented with the matrix of experimental variables, X (m × n), which results in a matrix, Z, of dimension m × n+p.
Subsequently the system dynamics is augmented with the filter states, and Linear Quadratic Regulator (LQR) method is used to design the feedback gain matrix.
Through investment this capital stock is augmented.
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