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To evaluate the computation results, proper physical model was built in a given dimension.
Extension is not a determination of a dimension, but a determination of the entity that is extended in a given dimension.
In addition, the elements in a given dimension can be mapped in the increasing or decreasing order of the respective index.
A classifier thus views each word as a sparse vector with the size of the known vocabulary having the value 1 in a given dimension and zeros elsewhere.
From Table 5, we conclude that while tensor sketch sorts to conserve discriminative power using as few dimension as possible, MI emphasizes on selecting the most useful information in a given dimension.
Fig. 5 Examples sampled from four datasets and their corresponding visualized activation map and weighted map From Table 5, we conclude that while tensor sketch sorts to conserve discriminative power using as few dimension as possible, MI emphasizes on selecting the most useful information in a given dimension.
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The parameter set 2- 64,16,5) is one of two known sets when there exists several nonisomorphic designs with the same parameters and p-rank as the design obtained from the points and subspaces of a given dimension in affine geometry AG(n,pm) (p a prime).
False-negatives were found in high frequencies in the pool dataset when the marker was present in ten or more pools of a given dimension (data not shown).
Single crystal diffraction analysis reveals that CH⋯π (aryl/metal chelate rings) interactions contribute to the stabilization of the crystal structure in given dimension.
The sample-feature association matrix (Theta ^{alpha } in {R}^{n times d}) is a collection of information entries (Theta _{ij}^{alpha } in [0, 1]) representing the strengths that a sample (x_i, ; i = 1 ldots n), is similar to (or associates with) a set (N_{ij}^{alpha } subset X) of its (alpha ) nearest-neighboring samples in a given feature dimension (g_j,; j = 1 ldots d).
So to know that I had this thing, this weird hour that I spent with him, and that that was in there, it gave dimension to what happened, at least.
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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