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Exact(5)

Based on the resultant coefficient matrix, removing the objective that conflicts with the other objectives most is carried out as the third step.

If we compensate for the matrix (removing the superscripts corresponding to different channel realizations), with the raw estimates of receiver IQ imbalance gain parameter, the resulting matrix is given as (30).

where are the first columns from, is the DFT matrix removing the rows whose index corresponds to a zero element in the preamble,, with the vector of nonzero elements in, and is the time-domain preamble received by th antenna.

Under this loss function, the RR estimator of β is given by (3) β ^ RR = X ⊤ M Z X + λ I − 1 X ⊤ M Z y, where M Z = I − Z(Z ⊤ Z −1 Z ⊤ is the projection matrix, removing the effects of the confounding variables.

By replacing X by X∗ = M Z X and X2 by X2∗ = M Z 2 X2, where M C is the projection matrix removing the effects of C, we find that (18) y ^ 2 = A 21 ∗ A ∗ + λ GRM I N − 1 y, where A∗ = M Z A M Z and A21∗ = M Z 2 A21 M Z, A = P−1 X X ⊤ and A21 = P−1 X2 X ⊤, and λGRM = P−1 λ.

Similar(55)

The matrix removed from the γ plates underwent three-dimensional, isotropic spinodal decomposition.

After the reaction, the enzymes are quickly deactivated, adsorbed on the affinity matrix, removed from the reaction mixture, and ready for use in another reaction cycle.

For mass spectrometry analysis, the PMNPs bound saccharides can be directly applied onto the MALDI plate with matrix without removing the PMNPs.

Finite difference approximations to these derivatives can then be implemented using sparse matrices, thus removing the need to store and manipulate large full matrices.

H ̂ ( i ) = [ H ̂ ( i ) ( 0 ) T H ̂ ( i ) ( 1 ) T H ̂ ( i ) ( 2 ) T ] T is the i th estimate of the channel impulse response matrix H after removing the unitary matrix ambiguity by the least squares method [8].

H ̂ ( i ) = [ H ̂ ( i ) ( 0 ) T H ̂ ( i ) ( 1 ) T … H ̂ ( i ) ( 6 ) T ] T is the i th estimate of the channel impulse response matrix H after removing the unitary matrix ambiguity by the least squares method[17].

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