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The estimated breeding values for the cloned pine trees used in cross-validation, estimated without using the corresponding phenotypic data, were denoted as EBV2, following the same model of Eq. 2. We used the allele frequency and the regression methods to obtain genomic relationship matrices, as described by Legarra et al. (2009) and Forni et al. (2011).
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The obtained data is denoted as TI in Table 2.
Another baseline that only uses side view data is denoted as MSV.
The interpretation of soil analytical data is denoted as follows: sand > clay > silt > OM > organic nitrogen > phosphorous in both seasons.
Assume the accumulated feature data are denoted as D _line, when run _end _mode = 1, that is, the run just scanned does not connect to any runs in the previous row, Data _new(new _cnt) = D _line.
The univariable and multivariable associations estimated in the derivation data are denoted as β ^ u | I and β ^ m | I.
The k-th type of omics data are denoted as X ij (k ) (the row index represents the i-th molecular feature and the column index represent the j-th sample), while Θ k ) denotes the size-matched parameter matrix of X k ).
The maximum embedding capacity of the proposed data embedding method can be denoted as, where represents the occurrence frequency of pattern in the image and is the number of selected pairs.
Similarly, the data symbols observed at the receiver can be denoted as, {mathbf y}_{d} = sqrt{{E_{c}}} {mathbf X}_{d} {mathbf h}_{d} + {mathbf z}_{d}, (6).
All the numerical data resulted from analysis were denoted as mean±S.E.M.%.
The predicted breeding values for all 165 cloned pine trees, using all available phenotypic data in the model, were denoted as estimated breeding value 1 (EBV1).
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