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Figure 2 Etching test on lines written alternatively by oxidation or carbon deposition.
This can be written alternatively as log E Y i ) = log μ + log n i for all holdings i = 1,..., n.
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"Donald knows that we would be happy to have him continue as a partner indefinitely (the partnership extends to 2044)," Mr. Roth wrote, "or, alternatively, that we would buy his interest for a substantial sum, which we think is a full and fair price, but he does not yet think so".
The order of the Serbian Cyrillic letters is as follows: A Б B Г Д Ђ E Ж З И J K Л Љ M H Њ O П P C T Ћ У Ф X Ц Ч Џ Ш. 2Ð and đ are alternatively written Dj and dj, respectively.
(Delta U^{R} left( {gamma to 1} right)) can be alternatively written as.
The decision rule in (15) can be alternatively written as begin{array}rcl@ textbf{Z}<eta-{E_{text{TH}}}|h_{nk}|^{2}, end{array} (16).
The system (3.3) can be, alternatively, written in the matrix form ∑ k = 1 n Q k Y ( k ) = G, n ≤ N, (3.4).
Then, CPD can be alternatively written as T ( 1 ) ≈ A · B ⊙ C T. (6) Figure 1 CPD of a tensor in R rank-1 terms.
Please notice that the prediction matrix can be alternatively written as: mathbf{W}_{n} = mathbf{R}_{mathbf{x}_{n} mathbf{x}_{n}}^{-1} mathbf{U}_{n} mathbf{R_{mathbf{xx}}}, (18).
After the initial iteration (c = 0) and determination of the best variation of the coefficients, the following iterations (c ≥ 1) were performed in an identical manner, bearing in mind that the three possible values of each coefficient a j,c were chosen from the set given by (12) or, alternatively written, (13).
In a vector form, Eq. (3.10) can be alternatively written as follows: D^{alpha } mathcal{F}_{i}(t)=t^{-alpha } bigl[ xi_{alpha }(i,1), xi_{alpha }(i,2),dots,xi_{alpha }(i,i),0,0, dots,0 bigr] boldsymbol {Phi}(t), quad lceil alpha rceilleq ileq m+1.
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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