Sentence examples for the underlying dimension from inspiring English sources

Although anxiety scores are discrete (i.e., integer-valued), the underlying dimension they index are generally taken to be continuous, real-valued quantities.

We show thatJa,b,n:= 12 |p|a|q|b+|q|b|p|a) is positive under suitable conditions on the exponents a and b and the underlying dimension n. (Here q is the multiplication by x and p:= i−1∇.) Furthermore we show a generalization of the generalized Hardy inequalities for the fractional Laplacians.

This is because the underlying dimension that unifies all variables in a factor is open to varied interpretation.

We therefore present component loadings, which can be understood as indicators for relations between the included variables and the underlying dimension (s).

Interpretation of factors involves understanding the underlying dimension or concept that unifies the group of variables loading on it (Tabachnick and Fidell 2012).

Figure 1 plots the object scores for each country (indicating how each case scores along the underlying dimension of inclusion in naturalisation and integration policies) against the inclusiveness of its naturalisation policy.

Components represent the underlying dimensions that summarize or account for the original set of observed data.

These studies do not allow for analyzing the structure of the existing relations between risk factors and discovering the underlying dimensions explaining the links between risk factors.

These studies give only limited information because they do not allow for 1) analyzing the structure of the existing relations between all the risk factors or 2) discovering the underlying dimensions explaining the interfactor links.

There is a rich history of applying dimension-reduction techniques, such as factor analysis and multidimensional scaling, to behavioral data to recover the underlying dimensions of meanings of words, including classic studies of color terms [4], verbs of motion [5], animals [6], and a variety of different domains [7].

The nine items reflect three subscales covering the underlying dimensions of engagement.