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version of the fast DCT, we will refer to the recursive matrix representation in [17].
The matrix representation in the middle panel was chosen in order to try to identify the movement of large water vapor fluctuations as they are detected by different stations; the stations are ordered from the northernmost (top row, CJKT) to the southernmost (bottom row, BAK2) to improve the readability of the plot.
In this implementation, we inferred a strict consensus from each partition, recoded these using group inclusion characters (matrix representation in PAUP*), and subjected the resultant combined matrix to the ILD test.
The matrix representation in of is given by [see equation (5)] The orbit, where is the canonical basis of, represents a regular icosahedron in three dimensions centred at the origin (Senechal, 1995 ▶; Katz, 1989 ▶; Indelicato et al., 2011 ▶).
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First, we use both consensus and position-specific weight matrix representations in our algorithm, taking advantage of the efficiency of the former and the accuracy of the latter.
The time-varying vector h ˜ ∈ C M R × 1 can be obtained by the matrix representation, which in case of a ULA configuration is given by the following equation h ˜ ( t ) = a ( θ R, 1 ) … a ( θ R, L ) · b ˜ ( t ) (4).
Notably, the present arguments do not apply for methods such as matrix representation parsimony, in which trees are reconstructed from individual gene alignments.
In the matrix representation, extra 1's are allowed in other columns of the defining rows.
Hence, we can derive these results in matrix representation and prove these results simply by using the given matrix forms.
The two linear classifiers based on the desired output are designed and their dependence on measured variables is as follows (in matrix representation as more convenient): h 1 Y = V 1 T Y + v 01 = 0. 0009 0. 0001 Y − 1. 0912 h 2 Y = V 2 T Y + v 02 = - 0. 0006 0. 0007 Y + 1. 5116.
In matrix representation: where: u b = vector of additive genetic effects for phantom parents; u = vector of additive genetic effects for known animals; [ P b P] = matrix that relates parents to progeny; each row contains two non-zero elements (0.5) in the columns pertaining to the sire and dam; v = vector with Mendelian sampling deviations.
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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