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The MCA displays the individuals and variable categories as labeled points in a multiple dimensional space.
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The six data points in b and c correspond to the labeled points ①–⑥ in (a).
Five labeled points are included in Figure 6C to highlight the predicted model behavior for different bacterial initial conditions and virulence.
On the right-hand side of the above equation, the first term is the smoothness function which requires the neighboring data points to belong to the same class, while the second term is the fitting function which limits the labeled data points in order to be consistent with their original labels.
It was sparse and obsessively orderly, and inside his kitchen cupboards, tinned food was carefully arranged in precise rows, with each label pointing in exactly the same direction.
Let f : X→ Y be a function that labels data points in G. Cheeger regularization is defined as (3) where D=diag(d i ) is a diagonal matrix with d i =∑ j w ij, L= D− W is the Laplacian of G, 1=(1,…, 1) T and β is the non-negative weight.
Then the source points are further labeled as in-plane edges and off-plane edges by unsupervised classification technique.
One label points out that in discussing art, the term Arab-Islamic "does not necessarily refer to art based on religion, but rather based on culture".
(The legend seems to indicate that the points labeled "Control" in Figure 9B are not control injections but rather data from the previous day relative to the muscimol points; if this was an incorrect understanding then the legend could be clarified).
(The legend seems to indicate that the points labeled "Control" in Figure 9B are not control injections but rather data from the previous day relative to the muscimol points; if this was an incorrect understanding then the legend could be clarified. ) We apologize to the reviewers for the confusion.
This line intersects with the sphere in two points, labeled in Fig. 4 as C s and C i.
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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