Around the pilot position, the transmitted data were obtained after multiplying the initial data by C -.
However, as represented in the condition (5), the power of interference terms after multiplying by Δ 12 and after multiplying by Φ 12,2 Φ 12,1 is the same due to normalizing all channel matrices.
Taking the expectation value of the above, after multiplying its both sides by, one obtains the following: (6).
end{cases} (2.5) Integrate the second equation of (2.5) over Ω after multiplying by (vartheta_{m}^{p-1}(x)) ((m=1,2,ldots)).
After multiplying both sides out and canceling the common terms of (18), we have aleft 1-s_{1}right)left(1-s_{2}right) ge 0, (19).
The total mean waiting time in the system given by Eq. (82) is obtained by adding the (i v) after multiplying the respective probabilities of system states.
The spatial summation after multiplying each cell volume by its porosity and water saturation to evaluate fluid content is developed from perturbation analysis which proves that static saturation models must observe non-linear correlations and heterogeneity patterns.
The stress relaxation from the post-yield regime shows universal time rescaling, i.e., its time dependence is identical after multiplying the elapsing time with the deformational rate, for different polymer glasses undergoing either uniaxial extension or compression.
The spectrum of the pulse after phase predistortion is shown in Figure 11 and after multiplying a Hamming window, the predistorted spectrum is illustrated as shown in Figure 12.
Differentiate (1.15) with respect to (x_{s}), (s=1, 2, ldots, N, N+1), (x_{N+1}=t), and sum up for s after multiplying the resulting relation by (u_{varepsilon x_{s}}frac{S_{eta}(|operatorname{grad}u_{varepsilon}|)}{ |operatorname{grad}u_{varepsilon}|}).
In a straightforward approach, we carried out the three synthesis protocols developed precedently in a 2-L reactor, after multiplying the quantities of all reagents by a factor of 20.
