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Following the same steps introduced in (i), we can also derive an 18D vector, which corresponds to the geometric centres of the corresponding 2D curves of the three forward reading frames, where, l= 19, 20, 21, …, 36, Ω ∈ { x, y, z, x′, y′, z′}, j= +0, +1, +2 represents the three forward reading frames, N{ j } is the total number of trinucleotides in each reading frame.
Therefore, in mathematical notation, the dimension of vector which corresponds to the ontology concept is often very large, and thus improves the higher requirements of ontology algorithm.
ℛ_ℬ is a vector, which corresponds to the resource distribution amounts to each demander.
Remark that the rate vector which corresponds to is not necessarily the same with the max-min fair rate vector that was defined in Section 1.1.
In the normalized cut scheme, a similarity matrix W is constructed by all combination of two pixels based on the input N-dimensional feature vector, which corresponds to the invariant representation.
} end{aligned} (8)Note that (Z^0) refers to the input vector (X=[X_1, dots, X_D ]) and we denote by D the size of the input vector which corresponds to the number of features or the data dimensionality.
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Let us define G = u v H and Ω = w z H ; where u, v, w, z are N × 1 column vectors which corresponds to a vector channel between a user in any of j th cell and N BSs.
For the PLS regression analysis, the regression vectors for prediction are constructed by employing the number of loading vectors which corresponds to the minimum error in inner cross-validation in the calibration data set.
The resulting temporal feature vectors, which correspond to the four different TMA energies, along with their first and second temporal derivatives constitute the feature set for the visual modality.
When a "sinc" pattern is chosen for the first ratio, with, we are not able to express the look-direction-related spatial steering vector (i.e., ), as a sum of any two other spatial steering vectors which correspond to any two sidelobe-related clutter arrivals.
y test,k, y oracle,k and y val,k are the response vectors, which correspond to the respective predictor matrices, n val is the number of validation objects in the inner cross-validation loop and σ2 is the irreducible error.
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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