The integral part was then rewritten to its approximate summation form and by using the difference equation, the final expression was simplified to obtain the mask.
This expression was simplified in our implementation, since similar perceptual effects were still obtained, even at source speeds of 100 km/h, (5).
A mathematical model is presented and expressions are simplified.
In a symmetric equilibrium, with identical wages across firms, the expressions are simplified.
If all sensors are located at equal distance R i from the target and have the same DoA estimation variance σ θ i 2, the above expressions are simplified to the following: σ x P i, CR 2 = R i 2 σ θ i 2 ∑ j = 1 M sin 2 θ i, j − ∑ j = 1 M sin θ i, j cos θ i, j 2 ∑ j = 1 M cos 2 θ i, j, (23).
If there are not any treated biological conditions, the gene expression time series is simplified in y ij l.
Small fluctuations in species populations are magnified in their spatial expression because the landscape is simplified.
The derived closed-form expression of the mean receiver output is simplified only up to the differentials.
In addition, when all users' SNRs and temporal correlations are also assumed to be the same, the optimal MMSE beamforming vector in (16) is simplified to similar expression as derived in [14 16] as w k, m ⋆ = M σ ̄ e + M ρ ̄ I M + ∑ i = 1 M h i,m τ i,m h i,m τ i,m ∗ - 1 h k, m τ k, m, where ρ ̄ and σ ̄ e are the same average SNR and channel error of users.
