Sentence examples for replace equation from inspiring English sources

Before continuing, we replace equation (3) by the following: T ( x, C ( x ) ) ∈ A, x ∈ A. (4).

The PGFEM supposes that we may replace equation (18) with ∫ Ω ϕ i ( ∂ U ∂ X + ∂ V ∂ Y ) d Ω = − ϵ ∫ ϕ i P, (19).

If we replace Equation 22 in Equation 19, we find: C EE ( t ) = a 4 e 2 ∫ f r ⃗, v ⃗ e ⃗ r · e ⃗ mf ( r ( t ) ) d r ⃗ d v ⃗, Open image in new window (28).

The following slightly modified cost function was used to replace Equation 3 J x = y - Ax 2 2 + λ ∑ k = 1 K f k 2 + ε 1 / 2 (4).

We replace Equation 29 with Equation 33 to maximize the utility during T, taking into account the already downloaded data during T m. q ( s ) = ∑ t ∈ T m ∑ a ∈ A r ( a, s ) ∗ ( t ) + ∑ t ∈ T ∑ a ∈ A r ( a, s ) ( t ) ∑ t ∈ T m u s ( t ) + ∑ t ∈ T u s ( t ).

Therefore, it is necessary to replace equations as follows.

Just like with the SLLM, we use Chebyshev differentiation to replace equations (35) through (38) with the discrete form A 1 f r + 1 = B 1, f r + 1 ( ξ N ) = f w, (40).

(19) (20) Then, instead of the gene expression/TF activity indicators, the surrogate gene expression/TF activity indicators are used to determine the enzyme/TF status and thus reaction states via GPR associations and transcriptional regulation by equations (21 - 23 21 - 23replace equations (3),(4), and (7).

Now, replacing Equation 37 in 30, we get the LS approximation to α δ u as (38).

Replacing Equation 32 into Equation 31 yields the CFO estimate hat{epsilon}_{Deltatheta_{m}}=argmin_{epsilon}g_{text{MAP}}^{(m)} epsilon), (33).

In conclusion, the proposed method consists in replacing Equation 1 of DISCOVER with Equation 2; the other steps of DISCOVER stay unaltered.