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In the first step, each fMRI-IC is associated with an IC-fingerprint, i.e., a representation of the component in a multidimensional space of parameters.
In order to reduce the number of fuzzy if then rules, the multidimensional space of input variables (instead of the individual input variable) of fuzzy controllers is partitioned into fuzzy sets.
Owing to the strong mathematical properties of this class, it is shown that a reliability analysis in the multidimensional space of uncertainty is reduced to a univariate problem, given the linearity of the failure surface with respect to uncertain parameters.
The visual frame of the moving object constitutes the multidimensional space of Q dimension.
They model the learning material in multidimensional space of material's attributes like authors' name, subject, price and educational level.
Instead, we could classify the senses using all of the available criteria, constructing a multidimensional space of possible sensory modalities (Macpherson 2010).
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We therefore use the position of known precursors in this multidimensional space to identify the region of interest and select the candidates populating it.
MCA produces a new multidimensional space so that the accumulated variance of the coordinates of every probe in a subset of dimensions is optimal.
Here again, PCA reduced this multidimensional space to a small number of PCs.
Given the complexity of interpreting such a multidimensional matrix, PCA was applied to reduce this multidimensional space to a small number of principal components (PCs).
Principal coordinate analyses transforms a complex multidimensional space to another orthogonal set of axes, such that the first principal coordinate reflects the largest portion of the structural variance in the data set, the second one the next largest, and so on.
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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