Exact(4)
To satisfy this condition we impose the condition of step 3 in the encryption process on l d(f).
Setting the determinant of the coefficient matrix to zero to impose the condition of nontrivial solution, as stated in Equation 19, ω will be obtained: det K P ―, n + ω 2 M n = 0. Open image in new window (19).
Fifth, I impose the condition of government budget balance on a period basis, (gamma Y_{t} = sum nolimits _{i}^{I} J_{t} times p^{i} times tau _{{1,t}}^{i} times y_{{1,t}}^{i} + sum nolimits _{i}^{I} V_{t} times p^{i} times tau _{{2,t}}^{i} times y_{{2,t}}^{i}), where the left-hand side denotes government spending.
At this step, we use a voting system to decide the next state for a given input, by comparing the pixel against the last value seen for background at this pixel and impose the condition of obtaining a candidate state at least five times.
Similar(56)
The other is that the path of negotiations would die and Israel would, in essence, impose the conditions of a peace on the Palestinians.
To impose the conditions of the feasible region, we have adapted a constrained optimization algorithm previously developed for cohort analyses [ 13].
The problem is closed imposing the condition of vanishing gravitational potential at infinity.
However, a new class of signals is possible by imposing the condition of factorizable kernel on the correlation function R s (t i, t j ) = E[s(t i )s H (t j )], with the superscript 'H' denoting the conjugate transpose, of the augmented vector s(t i ) = [s(t i ), s* (t i )] T. This type of signal, called widely factorizable, is introduced next.
The last equation in Eq. 5 is then obtained by imposing the condition that the mean of the area under the curve must be equal to M2.
Case - k 1 ≠ k 2 We now incorporate the consequences of imposing the condition, R k 1, k 2 = 0 when k 1 ≠ k 2, in (D.11).
For simplicity, we decided to model banks as price takers and do not impose the additional condition of Amini et al. (2016 ).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com