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Frustules show very ornate surface nanoscale pore patterns forming an amazing range of intricate designs with hierarchical ordered dimensions that span from nanoscale to microscale.
Moreover, he takes measurement to be the empirical counting of units, rather than a matter of relations among the members of an ordered dimension.
Judgements must still be made about the range for a rating – this can be equivalent to making a categorical judgement, except that the different categories lie contiguous with one another on an ordered dimension.
Proclus determines the dimensions of a subspace cluster by ordering all dimensions by the variance of its cluster members, and selecting the dimensions with a minimum variance (c.f. description of Proclus above).
Identifying and ordering the dimensions along which the data points exhibit the most variation.
Second, the paths between first-order factor and second-order dimensions have a significantly positive impact.
Wu [11] notes that better numerical properties are important when higher order dimensions are required.
Anxiety sensitivity (AS), has been conceptualized as a hierarchical construct, comprising three lower-order dimensions.
From Fig. 3 and Table 10, the testing results of the research hypotheses for the second-order dimensions show that all H2a, H2b, and H2c are empirically proven.
The most widely employed theoretical model of imagery was proposed by Paivio (1985) and later modified by Hall, Mack, Paivio, and Hausenblas (1998) which resulted in a five-factor model with two high-order dimensions: cognition and motivation.
After an initial reading, both authors individually and jointly organized all mentioned dimensions into conceptual relationships and higher order dimensions.
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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