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Each possible branch is denoted by the row vector where and.
The HAC is an accumulation of all the Gaussian co-occurrence probabilities denoted by the row vector v n τ.
where, ∀(S 1, S 2, …, S K ) ∈ V d, we denote a transpose of the gradient with respect to the variables S i of f by the row vector f S i.
The semantic frame description of the n th utterance is converted into a binary label vector, denoted by the row vector vs,n, indicating the presence or absence of slot values collected in all frames and slots.
(3.10) Further, for (i = 1,ldots,n), let (B^{i}) be the matrix formed by replacing the ith row of B by the row vector (( mu_{n} mu_{n + 1} cdot cdot mu_{2n})).
To enable PLS-DA classification with three classes, the samples (pixels) for class one were represented by the row vector (1, 0, 0,.
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The population for each group of households is provided by multiplying the row vector of number of individuals in the households by the column vector of expansion factors for each household.
They are based on the property that the lumping schemes validated in the whole composition Yn-space of y are only determined by the invariance of the subspace spanned by the row vectors of lumping matrix M with respect to the transpose of the Jacobian matrix JT y) for the kinetic equations.
Likely, the most widely used random lattice with a lot of applications is of the knapsack type and defined by the row vectors of the following matrix (see also [4, 7, 29]): a 1 1 0 … 0 a 2 0 1 … 0 ⋮ ⋮ ⋮ ⋱ ⋮ a m 0 0 0 17 (17).
From a mathematically perspective, these metabolic pools are defined by the row vectors along the modal library in such a way that first row of a modal matrix identifies the metabolic pools at the first time scale; the second row is associated with the second time scale, and so on.
In particular, this is the sum of products of the row vector (1-by-43) of "household (H)" in Hokkaido with the column vector (43-by-1) of "local government (H)" in Hokkaido.
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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