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The j-th phenotype of X, xj = (x 1j x 2j … x kj )T is the experiment vector of k genes (i.e. transcripts occurred in ' k gene sites'), where T indicates transposed vector.
Combination of evaluations into a summary appraisal of QOL: The fourth and final equation indicates that the QOL true score is the point product of the vector of appraisals [ At] premultiplied by a (transposed) vector of the same dimension [ Wt]'.
It will be described by a superposition of a dipole and a quadrupole potential (Jackson, 1963): (8) where ṟ T is the transposed vector of ṟ.
using N samples x=[ x 0) … x(N−1)] T and the data window h k =[ h k (0) … h k (N−1)] T, where the superscript T denotes the transposed vector.
where q ij is an element of the infinitesimal generator matrix Q, π(x) ∈ R 1×(M+1) is the transposed vector of stationary fluid density at the corresponding state, R∈R (M+1)×(M+1) is the diagonal matrix consisting of elements r i, and r i is the fluid rate at the state i.
The additive genetic variance V ^ A of BWH for each level of an EV was calculated as ϕ ^ ' G ^ RN ϕ ^, where ϕ ^ is a n*1 vector of polynomial coefficients for each level of the EV and ϕ ^ ' is the transposed vector of ϕ ^.
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In the table, (X^{D}), (X^{P}), and (X^{N}) represent the column vectors for total D, P, and N output (when it comes to total input, they are row vectors, i.e. the transposed vectors of corresponding total output) (Z^{DD}), (Z^{DP}), and (Z^{DN}) represent products of production for D as intermediate input by D, P, and N, respectively.
In this model, the (transposed) probability vector p represents the prices of the goods while the probability vector q represents the "intensity" at which the production process would run.
Yoo [16] improves on this by employing block-cyclic distribution, eliminating the need for transpose vector at the cost of added code complexity.
Proposition 2. The moment generating function (y) of Nℓ is given by: (5) where 1 is a row vector of ones, and 1T denotes the transpose vector, and, for all 1 ≤ i ≤ ℓ - d, T i + d = P i + d + Q i + d with and for all p, q ∈ '.
The transposed feature vectors formed a matrix with a row labeled by or by depending on presence or absence of, respectively.
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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