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By inserting this value in Eq. (8), we obtain the real value of y.
Inserting this value into the relevant heat transfer equations then extracted the wall-to-bed and bed-to-gas heat transfer coefficients.
It is easily seen that the right-hand side of (2.18) has its minimum at h = 4 ε ∑ i = 1 n ( b i - a i ) 2. Inserting this value in (2.18), we can obtain (2.9) immediately.
Inserting this value together with the contact angle measured on a smooth alumina surface (θ = 82.9° for three times water-HMDS-modified alumina thin film) into Equation 1 yields the expected θ C = 125°.
By inserting this value in Eq. (7), we obtain the real value of x. Figure 10, shows ∆ y diagram in two cases, with and without hydrogen, according to atom index in Y direction (j) for GNR with dimer number 29 as an example.
8, which corresponds to the fixed point coordinate x ¯ 4. Inserting this value into x ¯ i (κ 4 ), i=1,2,3, we get the fixed point x ¯ (μ = 0. 01 ) = (4. 71, 4. 82 · 1 0 − 5, 0. 431 31. 82 ), and likewise for the other dilution rates.
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Choose one of these formulae: If there was no tie in previous steps, insert this value into the simplified Spearman's Rank Correlation Coefficient formula defer.add img); and replace the "n" with the number of pairs of data you have to calculate the answer.
Inserting this estimated value into the relationships derived above, we obtain differential stresses for stress A, ΔσA, and stress B, ΔσB, of approximately 1.00 × 10−3 to 7.11 × 10−1 and 1.10 × 10−3 to 7.13 MPa, respectively.
For the simplified reference tissue model (SRTM) and [11C]raclopride, Gunn et al. successfully predicted the bias caused by blood signal by inserting this relationship as a scalar value, approximated by plasma-to-blood ratio multiplied by the parent fraction at the end of the acquisition [21].
Inserting the value ϕ ( V, y ) in Lemma 1 yields (see [6]) the following.
Inserting the value of (phi(V_{p^{2}},{mathbf{y}})) from Lemma 1 into the basic identity (2.1) yields the following (see [4]).
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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