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Exact(23)
Hence (21) can be rewritten as y = L y. (23).
Therefore (10) can be rewritten as y [ 4 ] = f ( x, y ).
The equation can be rewritten as: y = k/(1 + eA + BT) where A = ln (a) and B = −b.
Let c 1 2 = y, the resolvent cubic equation can be rewritten as y y + p 2 - q 2 = 4 y r. (21).
Notice that (3) can be rewritten as: y j = ∑ i = 0 N T − 1 G [ s i ] h ji + w j, (6).
In the aforementioned transmission model, the received signal given in (1) can be rewritten as y k = H ̄ k k s k ⏟ Desired subspace + ∑ j ≠ k H ̄ j k s j ⏟ Interference subspace + z k, (5).
Similar(37)
Next, from the obtained matrix D ̂, Equation 31 is rewritten as y ̂, a ̂ = arg max y, a SSIM y, D ̂ a subject to E y = y ∗. (33).
According to Equation 6, the output with L snapshots is rewritten as y = x E T 1, …, x E T L, x E H 1, …, x E H L. (29).
Thus the OLS regressions model is rewritten as: y i = a 0 u i, v i + ∑ k a k u i, v i x ik + ei, where (u i,v i ) denotes the coordinates of the i th point in space and a k (u i,v i ) is a realization of the continuous function a k (u,v) at point i (Brunsdon et al. 1996).
The constraint condition (13) can be rewritten as: s. t. - y + Φ Λ x Λ + W x u = 0, (14).
By substituting Robinson stationary convolution for (y(t)) in Eq. (1), Eq. (1) can be rewritten as, Y sigma + i2pi f) = int_{0}^{ + infty } {left[ {int_{0}^{ + infty } {w(t - tau )m tau ){text{d}}tau } } right]{text{e}}^{ - sigma t} {text{e}}^{ - i2pi ft} {text{d}}t} (2 where (w(t - tau )) represents the band-limited seismic wavelet and (m tau )) shows the underground reflectivity.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com